Showing papers on "Superpotential published in 1994"
TL;DR: In this paper, the field dependence of the gauge couplings of locally supersymmetric effective quantum field theories is investigated, and the authors show that the Weyl rescaling of supergravity gives rise to Wess-Zumino terms that affect the couplings at the one-loop level.
234 citations
TL;DR: Some general techniques for analyzing the Wilsonian superpotential are discussed and demonstrated with simple but nontrivial examples.
Abstract: Supersymmetric gauge theories in four dimensions can display interesting nonperturbative phenomena. Although the superpotential dynamically generated by these phenomena can be highly nontrivial, it can often be exactly determined. We discuss some general techniques for analyzing the Wilsonian superpotential and demonstrate them with simple but nontrivial examples.
205 citations
TL;DR: In this paper, the superpotential and the gauge kinetic terms are holomorphic and can be determined exactly in the variuos phases of supersymmetric field theories in confining, Coulomb and Higgs phases.
174 citations
Posted Content•
TL;DR: In this article, the superpotential and the coefficient of the gauge kinetic terms in supersymmetric theories have been studied and the underlying conceptual reason for the important non-renormalization theorems.
Abstract: Holomorphy of the superpotential and of the coefficient of the gauge kinetic terms in supersymmetric theories lead to powerful results. They are the underlying conceptual reason for the important non-renormalization theorems. They also enable us to study the exact non-perturbative dynamics of these theories. We find explicit realizations of known phenomena as well as new ones in four dimensional strongly coupled field theories. These shed new light on confinement and chiral symmetry breaking. This note is based on a talk delivered at the PASCOS (94) meeting at Syracuse University.
150 citations
TL;DR: In this paper, a very flat potential of inflaton required for sufficient inflation is obtained in supergravity by imposing a discrete $R$-invariance on the inflaton superpotential.
Abstract: We show that a very flat potential of inflaton required for a sufficient inflation is naturally obtained in $N=1$ supergravity by imposing a discrete $R$-invariance $Z_{n}$. Several cosmological constraints on parameters in the inflaton superpotential are derived. The reheating temperature turns out to be $(1-10^8)$GeV for the cases of $n$=3--10. Baryogenesis in this model is also discussed briefly.
148 citations
TL;DR: In this article, the Kahler potential has a form which generilly induces a superpotential mass term for Higgs particles once supersymmetry is broken at low energies, and explicit expressions are obtained for orbifold compactifications.
138 citations
TL;DR: It is shown that certain discrete gauge symmetries combined with supersymmetry tightly constrain the form of the effective action, and that the string axion can serve as a QCD axion in this framework (modulo cosmological problems).
Abstract: String theory, if it describes nature, is probably strongly coupled. As a result, one might despair of making any statements about the theory. In the framework of a set of clearly spelled out assumptions, we show that this is not necessarily the case. Certain discrete gauge symmetries, combined with supersymmetry, tightly constrain the form of the effective action. Among our assumptions are that the true ground state can be obtained from some perturbative ground state by varying the coupling, and that the actual numerical value of the low energy field-theoretic coupling [ital g][sup 2]/4[pi] is small. It follows that the low energy theory is approximately supersymmetric; corrections to the superpotential and gauge coupling function are small, while corrections to the Kahler potential are large; the spectrum of light particles is the same at strong as at weak coupling. We survey the phenomenological consequences of this viewpoint. We also note that the string axion can serve as a QCD axion in this framework (modulo cosmological problems).
135 citations
TL;DR: In this article, the energy-momentum complex as well as the superpotential associated with M\o ller's theory are derived and two different solutions, giving rise to the same metric, are obtained.
Abstract: M\o ller's Tetrad Theory of Gravitation is examined with regard to the energy-momentum complex. The energy-momentum complex as well as the superpotential associated with M\o ller's theory are derived. M\o ller's field equations are solved in the case of spherical symmetry. Two different solutions, giving rise to the same metric, are obtained. The energy associated with one solution is found to be twice the energy associated with the other. Some suggestions to get out of this inconsistency are discussed at the end of the paper.
102 citations
TL;DR: In this paper, the Kahler potential has a form which generically induces a superpotential mass term for Higgs particles once supersymmetry is broken at low energies, and explicit expressions are obtained for orbifold compactifications.
Abstract: In four-dimensional compactifications of the heterotic superstring theory the Kahler potential has a form which generically induces a superpotential mass term for Higgs particles once supersymmetry is broken at low energies. This ``$\mu$-term'' is analyzed in a model-independent way at the tree level and in the one-loop approximation, and explicit expressions are obtained for orbifold compactifications. Additional contributions which arise in the case of supersymmetry breaking induced by gaugino condensation are also discussed.
94 citations
TL;DR: In this paper, a condition under which linear sigma models possess a conformal stress tensor in Q + cohomology (i.e. which leaves invariant the ground states) even away from their critical points was derived.
93 citations
TL;DR: In this article, a superfield method for computing the effective potential in supersymmetric field theories is suggested and the one-loop effective potential of the Wess-Zumino model is found.
TL;DR: It is shown that a natural gauge hierarchy and doublet-triplet splitting can be achieved in SO(10) using the Dimopoulos-Wilczek mechanism and how realistic quark and lepton masses might arise in this framework is discussed.
Abstract: It is shown that a natural gauge hierarchy and doublet-triplet splitting can be achieved in SO(10) using the Dimopoulos-Wilczek mechanism Artificial cancellations (fine-tuning) and arbitrary forms of the superpotential are avoided, the superpotential being the most general compatible with a symmetry It is shown by example that the Dimopoulos-Wilczek mechanism can be protected against the effects of higher-dimension operators possibly induced by Planck-scale physics Natural implementation of the mechanisms leads to an automatic Peccei-Quinn symmetry The same local symmetries that would protect the gauge hierarchy against Planck-scale effects tend to protect the axion also How realistic quark and lepton masses might arise in this framework is discussed It is shown how the theory may remain perturbative up to the Planck scale It is also argued that weak suppression'' of proton decay can be implemented more economically than can strong suppression,'' offering some grounds to hope [in the context of SO(10)] that proton decay could be seen at SuperKamiokande
TL;DR: In this paper, the authors discuss supersymmetric $SU(2)$ gauge theory with a single matter field in the $I=3/2$ representation, which has a moduli space of exactly degenerate vacua.
Abstract: We discuss supersymmetric $SU(2)$ gauge theory with a single matter field in the $I=3/2$ representation. This theory has a moduli space of exactly degenerate vacua. Classically it is the complex plane with an orbifold singularity at the origin. There seem to be two possible candidates for the quantum theory at the origin. In both the global chiral symmetry is unbroken. The first is interacting quarks and gluons at a non-trivial infrared fixed point -- a non-Abelian Coulomb phase. The second, which we consider more likely, is a confining phase where the singularity is simply smoothed out. If this second, more likely, possibility is realized, supersymmetry will dynamically break when a tree level superpotential is added. This would be the simplest known gauge theory which dynamically breaks supersymmetry.
TL;DR: In this article, a topological Landau-Ginzburg model with superpotential W ( X ) = X −1 was studied and the role of gravitational descendants in this theory was examined.
TL;DR: In this article, the Toda lattice hierarchy is discussed in connection with the topological description of the c = 1 string theory compactified at the self-dual radius.
TL;DR: In this article, the authors construct a topological Landau-Ginzburg formulation of the two-dimensional string at the self-dual radius and derive relations formally analogous to the string equation.
Abstract: We construct a topological Landau-Ginzburg formulation of the two-dimensional string at the self-dual radius. The model is an analytic continuation of the $A_{k+1}$ minimal model to $k=-3$. We compute the superpotential and calculate tachyon correlators in the Landau-Ginzburg framework. The results are in complete agreement with matrix model calculations. We identify the momentum one tachyon as the puncture operator, non-negative momentum tachyons as primary fields, and negative momentum ones as descendants. The model thus has an infinite number of primary fields, and the topological metric vanishes on the small phase space when restricted to these. We find a parity invariant multi-contact algebra with irreducible contact terms of arbitrarily large number of fields. The formulation of this Landau-Ginzburg description in terms of period integrals coincides with the genus zero $W_{1+\infty}$ identities of two-dimensional string theory. We study the underlying Toda lattice integrable hierarchy in the Lax formulation and find that the Landau-Ginzburg superpotential coincides with a derivative of the Baker-Akhiezer wave function in the dispersionless limit. This establishes a connection between the topological and integrable structures. Guided by this connection we derive relations formally analogous to the string equation.
TL;DR: In this article, a superfield approach to compute the chiral effective superpotential in the Wess-Zumino model is developed, and an explicit calculation of the potential in the two-loop approximation is described.
TL;DR: In this paper, the authors investigated the effects of spontaneous CP violation at finite temperature in the Minimal Supersymmetric Standard Model on the baryogenesis at the weak scale, and they showed that the space-time dependent phase for the Higgs vacuum expectation values coming from the spontaneous CP violated can give rise to an efficient generation of baryon number inside the bubble walls if the superpotential parameters and the soft supersymmetry breaking ones are complex.
TL;DR: In this article, the authors construct a topological Landau-Ginzburg formulation of the two-dimensional string at the self-dual radius, which is an analytic continuation of the Ak+1 minimal model to k = −3.
TL;DR: In this paper, it was shown that the masses and three-point couplings of the massless E6 singlets related to H1(End(T)) vanish at all points in the quintic Kahler moduli space.
TL;DR: In this paper, the flavour problem in a supersymmetric Grand Unified theory with gauged SU(6) group is considered, where the Higgs doublets are understood as pseudo-Goldstone bosons of a larger global symmetry.
Abstract: We consider the flavour problem in a supersymmetric Grand Unified theory with gauged SU(6) group, where the Higgs doublets are understood as pseudo-Goldstone bosons of a larger $\SU(6)\otimes\SU(6)$ global symmetry of the Higgs superpotential. A key element of this work is that we never appeal to any flavour symmetry. One main interesting feature emerges: only one of the light fermions, an up-type quark, to be identified with the top, can get a Yukawa coupling at renormalizable level. This fact, together with bottom-tau Yukawa unification, also implied in our scheme, gives rise to a characteristic correlation between the top and the Higgs mass. By including a flavour-blind discrete symmetry and requiring that all higher dimensional operators be mediated by the exchange of appropriate heavy multiplets, it is possible to give an approximate description of all masses and mixing angles in term of a hierarchy of grand unified scales. A special ``texture'' arises, implying a relation between the top mass and the third generation mixing angles. Several other possible consequences of this approach are pointed out, concerning the $\mu/s$ mass ratio, the Cabibbo angle and the proton decay.
TL;DR: In this paper, a SU (3)3 supersymmetric gauge theory with a common gauge coupling g using only fields belonging to 27, 27 and singlet representations of E6 was constructed.
TL;DR: A supersymmetric collective coordinate expansion of the monopole solution of N = 4 Yang-Mills theory was performed in this paper, resulting in an N=4 super-symmetric quantum mechanics on the moduli space of monopole solutions.
TL;DR: In this paper, it was shown that N = 2 and N = 4 extended supersymmetric Yang-Mills theories in four space-time dimensions could be derived as action functionals for non-commutative spaces.
TL;DR: This article elaborate on the Shifman-Vainshtein program, applying it to examples in grand unification, supersymmetric QCD, and string theory, and stressing that among the model parameters'' are the cutoffs used to define the Wilsonian action itself, and that generically these must be defined in a field-dependent manner to obtain holomorphic results.
Abstract: In supersymmetric theories, one can obtain striking results and insight by exploiting the fact that the superpotential and the gauge coupling function are holomorphic functions of the model parameters. The precise meaning of this holomorphy is subtle, and has been explained most clearly by Shifman and Vainshtein, who have stressed the role of the Wilsonian effective action. In this article, we elaborate on the Shifman-Vainshtein program, applying it to examples in grand unification, supersymmetric QCD, and string theory. We stress that among the model parameters'' are the cutoffs used to define the Wilsonian action itself, and that generically these must be defined in a field-dependent manner to obtain holomorphic results.
TL;DR: In this article, the exact S -matrices and the Casimir energy (a c -function) are determined along the entire renormalization-group trajectory, leading to the interpretation of these theories as the Landau-Ginzburg models with superpotential X k + 2.
TL;DR: In this paper, the supersymmetric low-energy effective theory of the D-flat directions of a super-ymmetric gauge theory is derived by applying holomorphic constraints which manifestly maintain supersymmetry.
TL;DR: In this article, the supersymmetric low-energy effective theory of the D-flat directions of a super-ymmetric gauge theory is derived by applying holomorphic constraints which manifestly maintain supersymmetry.
Abstract: We derive the supersymmetric low-energy effective theory of the D-flat directions of a supersymmetric gauge theory. The Kahler potential of Affleck, Dine and Seiberg is derived by applying holomorphic constraints which manifestly maintain supersymmetry. We also present a simple procedure for calculating all derivatives of the Kahler potential at points on the flat direction manifold. Together with knowledge of the superpotential, these are sufficient for a complete determination of the spectrum and the interactions of the light degrees of freedom. We illustrate the method on the example of a chiral abelian model, and comment on its application to more complicated calculable models with dynamical supersymmetry breaking.
TL;DR: In this paper, a supersymmetric unified framework was proposed for the resolution of the gauge hierarchy problem taking account of the non-renormalizable terms in the superpotential.
Abstract: Within a supersymmetric unified framework we explore the resolution of the gauge hierarchy problem taking account of the non-renormalizable terms in the superpotential. For $[SU(3)]^3$ supplemented by a discrete R parity, we find the remarkable property that the vacuum configuration corresponding to the correct gauge symmetry breaking remains flat (in the supersymmetric limit) to all orders in $M^{-1}_{Planck}$. The grand unification scale arises from an interplay of the Planck and supersymmetry breaking scales. An `internal' $Z_3\otimes Z_4$ symmetry protects a pair of electroweak doublets from becoming superheavy, yielding at the same time the supersymmetric `$\mu$ term' with the right order of magnitude. The $Z_4$ symmetry also acts as matter parity and eliminates the dangerous baryon number violating couplings.
TL;DR: In this article, a supersymmetric unified framework was proposed for the resolution of the gauge hierarchy problem taking account of the non-renormalizable terms in the superpotential, and the remarkable property that the vacuum configuration corresponding to the correct gauge symmetry breaking remains flat to all orders in M−1Planck.