Showing papers on "Superpotential published in 1998"
CERN1
TL;DR: In this paper, it was shown that in theories in which supersymmetry breaking is communicated by renor- malizable perturbative interactions, it is possible to extract the soft terms for the observable fields from wave-function renormalization.
298 citations
TL;DR: In this article, topological properties of Calabi-Yau four-folds are investigated and a wide class of explicit constructions in weighted projective spaces and toric varieties are considered.
262 citations
TL;DR: In this paper, a general brane construction for realizing chiral four-dimensional gauge theories is considered, where the advantage of the construction is the simplicity and the possibility of realizing a large class of models existing in the literature.
Abstract: We consider a general brane construction for realizing chiral four-dimensional gauge theories. The advantage of the construction is the simplicity and the possibility of realizing a large class of models existing in the literature. We start the study of these models by determining the matter content and the superpotential which naturally arise in the brane construction.
151 citations
TL;DR: In this article, a general brane construction for realizing chiral four-dimensional gauge theories is considered, where the advantage of the construction is the simplicity and the possibility of realizing a large class of models existing in the literature.
Abstract: We consider a general brane construction for realizing chiral four-dimensional gauge theories. The advantage of the construction is the simplicity and the possibility of realizing a large class of models existing in the literature. We start the study of these models by determining the matter content and the superpotential which naturally arise in the brane construction.
115 citations
TL;DR: In this article, the authors consider topological closed string theories on Calabi-Yau manifolds which compute superpotential terms in the corresponding compactified type II effective action, and compare the partition function of this topological theory to the Chern-Simons theory on the vanishing 3-cycle.
Abstract: We consider topological closed string theories on Calabi-Yau manifolds which compute superpotential terms in the corresponding compactified type II effective action. In particular, near certain singularities we compare the partition function of this topological theory (the Kodaira-Spencer theory) to $SU(\infty)$ Chern-Simons theory on the vanishing 3-cycle. We find agreement between these theories, which we check explicitly for the case of shrinking $S^3$ and Lens spaces, at the perturbative level. Moreover, the gauge theory has non-perturbative contributions which have a natural interpretation in the Type IIB picture. We provide a heuristic explanation for this agreement as well as suggest further equivalences in other topological gravity/gauge systems.
115 citations
TL;DR: In this paper, the perturbative type I and heterotic tree-level massless spectra were matched by giving certain scalars appropriate vevs, and the crucial role of perturbation superpotential (on the heterotic side) for this matching was discussed.
101 citations
TL;DR: In this article, the authors studied brane realizations of chiral matter in N = 1 supersymmetric gauge theories in four dimensions and found that there are transitions between chiral and non-chiral models, which are closely related to small instanton transitions in six dimensions.
100 citations
TL;DR: In this paper, it was observed that self-interacting scalar quantum field theories having a non-Hermitian interaction term of the form g(i�) 2+δ, whereis a real positive parameter, are physically acceptable in the sense that the energy spectrum is real and bounded below.
Abstract: Recently, it was observed that self-interacting scalar quantum field theories having a non-Hermitian interaction term of the form g(i�) 2+δ , whereis a real positive parameter, are physically acceptable in the sense that the energy spectrum is real and bounded below. Such theories possess PT invariance, but they are not symmetric under parity reflection or time reversal separately. This broken parity symmetry is manifested in a nonzero value for hi , even if � is an even integer. This paper extends this idea to a two-dimensional super- symmetric quantum field theory whose superpotential is S(�) = −ig(i�) 1+δ . The resulting quantum field theory exhibits a broken parity symmetry for all � > 0. However, supersymmetry remains unbroken, which is verified by show- ing that the ground-state energy density vanishes and that the fermion-boson mass ratio is unity.
73 citations
TL;DR: In this paper, the moduli space of vacua of confining phase N=1 supersymmetric gauge theories in four dimensions is studied. And the monopole and meson vacuum expectation values are computed using the fivebrane configuration.
68 citations
TL;DR: In this paper, the Coulomb branch of three-dimensional supersymmetric QCD with N = 2 and N = 4 supersymmetry and gauge group SU(2) was investigated.
Abstract: Using standard field theory techniques we compute perturbative and instanton contributions to the Coulomb branch of three-dimensional supersymmetric QCD with N = 2 and N = 4 supersymmetry and gauge group SU(2). For the N = 4 theory with one massless flavor, we confirm the proposal of Seiberg and Witten that the Coulomb branch is the double-cover of the centered moduli space of two BPS monopoles constructed by Atiyah and Hitchin. Introducing a hypermultiplet mass term, we show that the asymptotic metric on the Coulomb branch coincides with the metric on Dancer's deformation of the monopole moduli space. For the N = 2 theory with Nf flavors, we compute the one-loop corrections to the metric and complex structure on the Coulomb branch. We then determine the superpotential including one-loop effects around the instanton background. These calculations provide an explicit check of several results previously obtained by symmetry and holomorphy arguments.
68 citations
TL;DR: In this article, it was shown that the Dirac and Majorana masses can be suppressed naturally in a class of string models, in which higher-dimensional operators in the superpotential lead to an intermediate scale expectation value for a scalar field and to suppressed Dirac or Majorana fermion masses.
Abstract: Efficient oscillations between ordinary (active) and sterile neutrinos can occur only if Dirac and Majorana mass terms exist which are both small and comparable. It is shown that this can occur naturally in a class of string models, in which higher-dimensional operators in the superpotential lead to an intermediate scale expectation value for a scalar field and to suppressed Dirac and Majorana fermion masses. {copyright} {ital 1998} {ital The American Physical Society}
TL;DR: In this article, the effect of the bilinear lepton-Higgs couplings in the superpotential and in the soft supersymmetry breaking sector of the supersymmetric models with explicit $R$-parity violation is discussed.
Abstract: We discuss some phenomenological issues of the effective quark-lepton operators emerging from the bilinear lepton-Higgs couplings in the superpotential and in the soft supersymmetry breaking sector of the supersymmetric models with explicit $R$-parity violation. The contribution of these operators to the neutrinoless double beta decay $(0\ensuremath{
u}\ensuremath{\beta}\ensuremath{\beta})$ is derived. The corresponding nuclear matrix elements are calculated within the renormalized quasiparticle random phase approximation, which includes the Pauli effect of fermion pairs and does not collapse for the physical values of the nuclear force strength. On this basis we extract from the experimental data new stringent limits on the first generation mass parameter characterized the lepton-Higgs bilinear coupling and on the electron sneutrino vacuum expectation value.
TL;DR: In this paper, the moduli-dependent effective potential arising from M-theory compactified on M 4 × X × S 1 / Z 2, when one of the boundaries supports a strongly interacting gauge sector and induces gaugino condensation, was derived.
TL;DR: In this paper, the authors consider models of dynamical supersymmetry breaking in which the extremization of a tree-level superpotential conflicts with a quantum constraint and show that the low-energy effective theory near the origin of moduli space is an O'Raifeartaigh model, and the sign of the mass-squared for the pseudo-flat direction at the origin is calculable.
Abstract: We consider models of dynamical supersymmetry breaking in which the extremization of a tree-level superpotential conflicts with a quantum constraint. We show that in such models the low-energy effective theory near the origin of moduli space is an O'Raifeartaigh model, and the sign of the mass-squared for the pseudo-flat direction at the origin is calculable. We analyze vector-like models with gauge groups SU(N) and Sp(2N) with and without global symmetries. In all cases there is a stable minimum at the origin with an unbroken U(1)_R symmetry.
TL;DR: In this article, the authors consider compactifications of type I strings on Abelian orbifolds with D9-brane only and discuss the tadpole cancellation conditions for the general case with D5-branes only.
TL;DR: In this paper, the authors consider models of dynamical supersymmetry breaking in which the extremization of a tree-level superpotential conflicts with a quantum constraint and show that the low-energy effective theory near the origin of moduli space is an O'Raifeartaigh model, and the sign of the mass-squared for the pseudo-flat direction at the origin is calculable.
Abstract: We consider models of dynamical supersymmetry breaking in which the extremization of a tree-level superpotential conflicts with a quantum constraint. We show that in such models the low-energy effective theory near the origin of moduli space is an O'Raifeartaigh model, and the sign of the mass-squared for the pseudo-flat direction at the origin is calculable. We analyze vector-like models with gauge groups SU(N) and Sp(2N) with and without global symmetries. In all cases there is a stable minimum at the origin with an unbroken U(1)R symmetry.
TL;DR: In this paper, the authors considered the charged scalar boson phenomenology in the simplest effective low-energy R -parity breaking model characterized by a bilinear violation of R-parity in the superpotential.
TL;DR: In this article, a perturbative non-renormalization theorem for general supersymmetric theories is presented that applies to general super-symmetric theories, including nonrenormalizable theories in which the integrand of the action is an arbitrary gauge-invariant function.
Abstract: A perturbative nonrenormalization theorem is presented that applies to general supersymmetric theories, including nonrenormalizable theories in which the $\ensuremath{\int}{d}^{2}\ensuremath{\theta}$ integrand of the action is an arbitrary gauge-invariant function $F(\ensuremath{\Phi},W)$ of the chiral superfields $\ensuremath{\Phi}$ and gauge field-strength superfields $W$, and the $\ensuremath{\int}{d}^{4}\ensuremath{\theta}$ integrand is restricted only by gauge invariance In the Wilsonian Lagrangian, $F(\ensuremath{\Phi},W)$ is nonrenormalized except for the one-loop renormalization of the gauge coupling parameter, and Fayet-Iliopoulos terms can be renormalized only by one-loop graphs One consequence of this theorem is that in nonrenormalizable as well as renormalizable theories, in the absence of Fayet-Iliopoulos terms supersymmetry will be unbroken to all orders, if the bare superpotential has a stationary point
TL;DR: In this article, the authors studied the duality of a wide class of N = 1 supersymmetric gauge theories in four dimensions and identified emerging patterns in these models, classifying them by superpotential, gauge group, and level.
TL;DR: In this article, the authors constructed a consistent chiral N = 1 supersymmetric string vacuum which is non-perturbative from the heterotic viewpoint, has a perturbative description in a dual theory, and possesses some phenomenologically interesting characteristics.
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28 Oct 1998
TL;DR: In this paper, the OSp(2|2)-invariant planar dynamics of a D = 4 superparticle near the horizon of a large mass extreme black hole is described by an N=2 superconformal mechanics, with the SO(2) charge being the super particle's angular momentum.
Abstract: The OSp(2|2)-invariant planar dynamics of a D=4 superparticle near the horizon of a large mass extreme black hole is described by an N=2 superconformal mechanics, with the SO(2) charge being the superparticle's angular momentum. The {\it non-manifest} superconformal invariance of the superpotential term is shown to lead to a shift in the SO(2) charge by the value of its coefficient, which we identify as the orbital angular momentum. The full SU(1,1|2)-invariant dynamics is found from an extension to N=4 superconformal mechanics.
TL;DR: In this paper, the Peccei-Quinn symmetry has a complex extension as a symmetry of the superpotential, so that the scalar potential always has an almost flat direction, the dilaton.
TL;DR: In this paper, the authors obtained N=1 SU(N)^k gauge theories with bifundamental matter and a quartic superpotential as the low energy theory on D3-branes at singular points.
Abstract: We obtain N=1 SU(N)^k gauge theories with bifundamental matter and a quartic superpotential as the low energy theory on D3-branes at singular points. These theories generalize that on D3-branes at a conifold point, studied recently by Klebanov and Witten. For k=3 the defining equation of the singular point is that of an isolated D_4 singularity. For k>3 we obtain a family of multimodular singularities. The considered SU(N)^k theories flow in the infrared to a non-trivial fixed point. We analyze the AdS/CFT correspondence for our examples.
TL;DR: In this paper, a semi-infinite D4 brane constructions in type-IIA string theory for N=1 supersymmetric SO and Sp gauge theories with tensor representations using an orientifold six-plane were presented.
Abstract: We present brane constructions in type-IIA string theory for N=1 supersymmetric SO and Sp gauge theories with tensor representations using an orientifold six-plane. One limit of these setups corresponds to N=2 theories previously constructed by Landsteiner and Lopez, while a different limit yields N=1 SO or Sp theories with a massless tensor and no superpotential. For the Sp-type orientifold projection, a comparison with the field-theory moduli space leads us to postulate two new rules governing the stability of configurations of D-branes intersecting the orientifold. Lifting one of our configurations to M theory by finding the corresponding curves, we rederive the N=1 dualities for SO and Sp groups using semi-infinite D4 branes. {copyright} {ital 1998} {ital The American Physical Society}
TL;DR: In this article, the authors investigated the viability of a two-stage inflationary scenario in the context of supergravity, so as to resolve the problem of initial conditions for hybrid inflation.
Abstract: We investigate the viability of a two-stage inflationary scenario in the context of supergravity, so as to resolve the problem of initial conditions for hybrid inflation. We allow for non-renormalizable terms in the superpotential and consider the most general form of the Kahler potential and the gauge kinetic function. We construct a model with two stages of inflation, the first driven by D-term and the second by F-term energy density. The viability of this scenario depends on the non-minimal terms in the Kahler potential, for which we derive the necessary constraints.
01 Jan 1998
TL;DR: In this article, a one-dimensional model of localization based on the Witten Hamiltonian of supersymmetric quantum mechanics is considered and low energy spectral properties are reviewed and compared with those of other models with off-diagonal disorder.
Abstract: We consider a one-dimensional model of localization based on the Witten Hamiltonian of supersymmetric quantum mechanics The low energy spectral properties are reviewed and compared with those of other models with off-diagonal disorder Using recent results on exponential functionals of a Brownian motion we discuss the statistical properties of the ground state wave function and their multifractal behaviour
TL;DR: In this article, the degeneracy of the vacua is lifted in any model in which the cosmological constant is fine-tuned to zero through an explicit ZnR symmetry breaking constant in the superpotential.
TL;DR: In this article, a flat potential direction was explored for the M-phenomenological model, which provides a pair of light Higgs doublets, yields realistic textures for the fermion mass matrices and is free of R -violating interactions and dimension-five proton decay operators.
TL;DR: In this paper, the authors discuss supersymmetry breaking in some supersymmetric quantum mechanical models with periodic potentials and show that the sensitivity to the parameters appearing in the superpotential is more acute than in conventional nonperiodic models.
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TL;DR: In this article, the relation of the marginal operators to brane rotations is briefly discussed; this is particularly simple for self-dual examples where the precise form of a marginal operator may be guessed using mirror symmetry.
Abstract: As in two and four dimensions, supersymmetric conformal field theories in three dimensions can have exactly marginal operators. These are illustrated in a number of examples with N=4 and N=2 supersymmetry. The N=2 theory of three chiral multiplets X,Y,Z and superpotential W=XYZ has an exactly marginal operator; N=2 U(1) with one electron, which is mirror to this theory, has one also. Many N=4 fixed points with superpotentials W \sim Phi Q_i \tilde Q^i have exactly marginal deformations consisting of a combination of Phi^2 and (Q_i \tilde Q^i)^2. However, N=4 U(1) with one electron does not; in fact the operator Phi^2 is marginally irrelevant. The situation in non-abelian theories is similar. The relation of the marginal operators to brane rotations is briefly discussed; this is particularly simple for self-dual examples where the precise form of the marginal operator may be guessed using mirror symmetry.