Showing papers on "Superpotential published in 1990"
TL;DR: In this article, the Standard Model was derived from the heterotic string with no intermediate energy scale by using the free fermionic formulation, and the complete massless spectrum is derived and is shown to be anomaly free apart from a single anomalous U(1).
269 citations
TL;DR: In this article, the integrability of the N = 2 supersymmetric minimal series of conformal models was found by discovering supermultiplets of conserved currents in the perturbed theories.
125 citations
TL;DR: In this paper, the phenomenology of the flipped SU (5) × U (1) superstring model emphasizing the Higgs and fermion mass spectra is studied.
70 citations
TL;DR: In this article, the authors examined the non-vanishing terms in the effective superpotential of four-dimensional free fermionic strings and showed that generically such terms are nonvanishing in a large class of models, namely flipped SU(5)×U(1) models.
58 citations
TL;DR: In this article, the authors studied supersymmetric quantum mechanics with particular emphasis on scattering relations and coupled channels, and they discussed channels with different masses, the threshold behavior of S-matrix partners, phase equivalence, and the appearance and disappearance of Smatrix poles.
Abstract: We study supersymmetric quantum mechanics with particular emphasis on scattering relations and coupled channels. We discuss channels with different masses, the threshold behavior of supersymmetric S-matrix partners, phase equivalence, and the appearance and disappearance of S-matrix poles. We also present some soluble examples.
39 citations
TL;DR: In this paper, the authors define conservation laws in general relativity with respect to a flat reference spacetime, via Noether's theorem and the standard Lagrangian function, quadratic in first-order derivatives, and obtain linear and angular momentum densities.
Abstract: The authors define conservation laws in general relativity with respect to a flat reference spacetime, via Noether's theorem and the standard Lagrangian function, quadratic in first-order derivatives. The covariant superpotential obtained in that way fulfils all standard global requirements at spatial and at null infinity and has no anomalous factor of two for the ratio of the mass to angular momentum. Next they attempt to localise the conservation laws and obtain linear and angular momentum densities. They put forward local mapping equations in which a key role is played by a family of artificial, short living, closed shells of matter whose interior is flat. The equations are derived on the basis that the linear momentum densities at each point of the flat interior must be equal to zero. They gain some insight in the mapping equations by considering static spacetimes and spaces with spherically symmetric static shells.
38 citations
TL;DR: In this paper, the authors studied the symmetry breaking in the SU(5) × U(1)' × U (1) 4 × SO(10) × SO (6) superstring model, solving the D - and F -flatness conditions and taking into account quartic and quintic superpotential terms.
36 citations
TL;DR: A superpotential for energy-momentum and rotation momentum which is built out of the conformal tensor and a bivector is identified with that used by Penrose in his definition of quasilocal energy.
Abstract: We define a superpotential for energy-momentum and rotation momentum which is built out of the conformal tensor and a bivector. This superpotential is identified with that used by Penrose in his definition of quasilocal energy. It is applied to the definition of energy-momentum and rotation momentum at spatial and at null infinities. At spatial infinity the results are in agreement with those of Ashtekar and Hansen. At null infinity the results are unsatisfactory; they are tied to a specific Bondi frame. Thus, they are not in agreement with the results of Tamburino and Winicour, Geroch and Winicour, nor with those of Dray and Streubel. Some reasons for this failure are discussed.
35 citations
TL;DR: In this article, it was shown that no B-violating superpotential interaction arises in flipped SU(5), thanks to an extra symmetry of the effective cubic d=4 and quartic d=5 superpotentials terms, induced at short distances.
31 citations
TL;DR: In this article, the trilinear superpotential of the hidden sector of the three generation flipped SU (5) × U(1) ×U(1), 4 × SO(10) × SU(4) superstring model was analyzed.
31 citations
TL;DR: In this paper, the neutrinos see-saw mass matrix was studied and it was shown that the τ neutrino is expected at a mass scale of O(10 MeV).
TL;DR: In this paper, the spin and statistics of a particle in 2 + 1 dimensions coupled to linearized gravity with a Chern-Simons term were determined, and the results were compared to those of the corresponding abelian vector theory.
TL;DR: In this article, the authors discuss some aspects of string vacua constructed from orbifolded nonminimal Landau-Ginzburg theories which correspond to Calabi-Yau manifolds in weighted projective space.
Abstract: We discuss some aspects of string vacua constructed from orbifolded nonminimal Landau-Ginzburg theories which correspond to Calabi-Yau manifolds in weighted projective space. In contrast to previous expectations, we find that these theories allow for the construction of numerous stable (2, 0) Calabi-Yau vacua (most of which are not simply deformations of an underlying (2, 2) theory) thus indicating that this phenomenologically promising sector of the space of classical vacua is quite robust. We briefly discuss methods for extracting the phenomenology of these models and show, for example, that the full renormalizable superpotential of ourSU(5) theories is not corrected by world sheet instantons and is thus given exactly by its tree-level value.
TL;DR: In this paper, the Riccati equation for the superpotential W(x) involved in factorization of the Hamiltonian for the anharmonic oscillator with V(x)=λx2+2δ.
TL;DR: In this article, a field theoretical discussion of the complex constructed by Floer in order to prove the Arnold conjecture concerning a Morse theory for the fixed point set of diffeomorphisms of a symplectic manifold is offered.
TL;DR: The singularity of the resulting potential found empirically in studies of nucleon-alpha scattering emerges naturally in supersymmetric quantum mechanics as does a direct and unique way to calculate the complete potential.
Abstract: Supersymmetric quantum mechanics provides a simple way to understand the scattering of a particle from a potential that contains a bound state that is Pauli blocked to the projectile. The singularity of the resulting potential found empirically in studies of nucleon-alpha scattering emerges naturally in supersymmetric quantum mechanics as does a direct and unique way to calculate the complete potential.
Journal Article•
TL;DR: In this article, the q-analogues oscillators were analyzed in the bosonic, fermionic and supersymmetric cases and a class of q-Analogues supersymmymmetric Hamiltonians were constructed.
TL;DR: In this paper, the symmetries, the structure of supersymmetric ground states, and the non-zero energy spectrum of a N = 2 super-ymmetric Wess-Zumino model were studied.
TL;DR: It was shown in this article that string wormholes have the right zero mode structure to generate a superpotential and that it is possible to break supersymmetry spontaneously at arbitrarily weak coupling with zero cosmological constant by tuning the α parameters.
01 Jan 1990
TL;DR: Using supersymmetric quantum mechanics, the authors generalize some exactly solvable potentials: the particle in the box, Oschl-~eller and Rosen- Morse, and evaluate the new potentials and indicate their eigenfunctions and spectra.
Abstract: Using supersymmetric quantum mechanics we generalize some exactly solvable potentials: the particle in the box, ~oschl-~eller and Rosen- Morse. We evaluate the new potentials and indicate their eigenfunctions and spectra.
TL;DR: In this article, the supersymmetric version of the Lie extended method in quantum physics was proposed and the main ideas were pointed out through the explicit example of the one-dimensional supersymmymmetric harmonic oscillator.
Abstract: The authors propose the supersymmetric version of the Lie extended method in quantum physics. They point out the main ideas through the explicit example of the one-dimensional supersymmetric harmonic oscillator.
Journal Article•
TL;DR: In this paper, the authors provided a potplltial for tile houllded part of the tellsor which is associated with the Lii'lIeHd-Wiechert fieJeII.
Abstract: W('ert \11ohtained a potplltial for tile houllded part of tlLe ~laxwen Tellsor which is associatt'd to the Lii'lIeHd-Wiechert fieJeI.W(, show that this potclltial can be interpr('t.at.('d a.s aH illtrinsic Angular Momenlnm Dcnsit.y for lhe correspontiing Eh'ctromaglletic Field.
TL;DR: In this article, the supersymmetric quantum mechanical harmonic oscillator was used to construct a Hamiltonian exhibiting a noncompact orthosymplectic supersymmetry, which is the strong-coupling limit of the Jaynes-Cummings model.
Abstract: The supersymmetric quantum mechanical harmonic oscillator, a particular example of an N = 1, d = 1 supersymmetric quantum mechanical model, is used to construct a Hamiltonian exhibiting a noncompact orthosymplectic supersymmetry. This Hamiltonian is the strong-coupling limit of the Jaynes–Cummings model.
TL;DR: In this paper, it was shown that simple power counting arguments suffice to prove the no-renormalization of the mass and chiral self-interaction actions to all orders in perturbation theory.
Abstract: We consider the interacting model of chiral and real gauge superfields in Anti-de Sitter space. The superconformal invariance of the massless model allows us to implement an expansion in the curvature effects in terms of the interaction vertices of the quantum model. In a previous application of the superfield formalism, the renormalization of the linear superfield term in the superpotential was derived. In the present work, it is argued that simple power counting arguments suffice to prove the no-renormalization of the mass and chiral self-interaction actions to all orders in perturbation theory.
TL;DR: In this paper, a model of N = 4 supersymmetric quantum mechanics is shown to have a perturbative expansion for which the large order behaviour is - (3/2) n n!(9/π + 5/n +...).
TL;DR: In this paper, the authors studied the N = 2 Wess-Zumino quantum field model and showed that the vacuum is degenerate in terms of the supercharge operator Q when the Hamiltonian is given by H = Q2 and an index theorem was derived for an interacting case when the superpotential was given by V(φ)=λφn.
Abstract: Holomorphic quantum mechanics are studied from the point of view of stochastic quantization in Minkowski space which involves the introduction of two stochastic fields, one in the external space and the other in the internal space. The equilibrium condition is given by Z2 symmetry between the external and internal fields. In the nonequilibrium case, N=2 Wess–Zumino quantum fields are arrived at giving rise to supersymmetry. This helps to define the supercharge operator Q when the Hamiltonian is given by H=Q2 and an index theorem is derived for an interacting case when the superpotential is given by V(φ)=λφn, φ being complex with n>2. It is found that the vacuum is degenerate and is in conformity with the result obtained by Jaffe, Lesniewski, and Lewenstein [Ann. Phys. 178, 313 (1987)] in the two‐dimensional N=2 Wess–Zumino quantum field model.
01 Jan 1990
TL;DR: In this article, a Lie-isotopic lifting of the commutation and anticommutation relations of creation-annihilation bosonic and fermionic operators is considered, where the ground state is characterized by null energy while the other energy levels are twice degenerated.
Abstract: Lie-isotopic lifting of the commutation and anticommutation relations of creation-annihilation bosonic and fermionic operators is considered. Lie-isotopic generalization of the associated supersymmetry generators and of the underlying superalgebra in considering of the Lie-isotopically lifted hamiltonian of supersymmetric quantum mechanical oscillator is defined. The generalised oscillator has the properties similar to that of the conventional supersymmetric oscillator: the ground state is characterised by null energy while the other energy levels are twice degenerated. A possible Lie-isotopic generalization of supersymmetric quantum mechanics is briefly discussed.
01 Jan 1990
TL;DR: In this article, it is shown that generalized supersymmetric field equations depending on a chiral scalar supermultiplet admit instanton solutions when transition is made to Euclidean space-time.
Abstract: It is shown that generalized supersymmetric field equations depending on a chiral scalar supermultiplet admit instanton solutions when transition is made to Euclidean space-time. Implications and possible applications are discussed.
TL;DR: In this paper, a relation between the path integral and the operator ordering of the Hamiltonian for supersymmetric quantum mechanics has been given, which resolves the ambiguities associated with defining the path integrator.
Abstract: The author gives an explicit relation between the path integral and the operator ordering of the Hamiltonian for supersymmetric quantum mechanics. Using a stochastic differential equation the author is able to resolve the ambiguities associated with defining the supersymmetric path integral.
TL;DR: In this paper, a relationship between the Kahler potential and the superpotential in any N = 1 spacetime supersymmetric string theory possessing target space symmetries of a specific type is shown, explicitly constructed for the untwisted moduli and matter scalar sectors of the (2,2) symmetric Z3 orbifold.
Abstract: A relationship between the Kahler potential and the superpotential is shown to exist in any N=1 spacetime supersymmetric string theory possessing target space symmetries of a specific type. The relationship is explicitly constructed for the untwisted moduli and matter scalar sectors of the (2,2) symmetric Z3 orbifold, and is used to calculate the complete superpotential in terms of the Kahler potential. The authors demonstrate, within the context of conformal field theory, the existence and consistency of the required target space symmetries.