Showing papers on "Superpotential published in 1991"
TL;DR: In this paper, a class of supersymmetric quantum mechanics whose eigenvalue problem is (in part) exactly solvable is presented. In concrete realizations, the class includes supersymetric quantum mechanical models associated with one-dimensional or radial Schrodinger operators with potentials of a special type, called shape-invariant potentials.
148 citations
TL;DR: In this paper, a detailed account of the calculation of non-renormalizable terms in the free fermionic formulation of the heterotic string in four dimensions is given, which can be calculated exactly in σ-model and remain uncorrected to all orders in string loops, therefore considerably enhancing the predictive power of models built in this context.
107 citations
TL;DR: Based on the target-space modular invariance of the nonperturbative superpotential of the four-dimensional {ital N}=1 supersymmetric string vacua, topologically stable, stringy domain walls of nontrivial compactification modulus field configurations are found, thus saturating the Bogomolnyi bound.
Abstract: Based on the target-space modular invariance of the nonperturbative superpotential of the four-dimensional {ital N}=1 supersymmetric string vacua, we find topologically stable, stringy domain walls of nontrivial compactification modulus field configurations. They are supersymmetric solutions, thus saturating the Bogomolnyi bound. Their physical implications are discussed.
88 citations
TL;DR: In this paper, the authors reinterpret earlier results on gaugino condensation in supergravity by incorporating renormalization effects into the Kahler potential, rather than the superpotential, for the lightest chiral supermultiplet of the confined Yang-Mills sector.
80 citations
TL;DR: In this article, the authors show that N = 2 supersymmetry in two dimensions can be seen as a quantum realization of the geometry of singularity theory, using non-perturbative methods.
Abstract: N=2 supersymmetry in two dimensions can be seen as a quantum realization of the geometry of singularity theory. We show this using non-perturbative methods. N=2 susy is related to the Picard-Lefschetz theory much in the same way as N=1 susy is related to Morse theory. All the concepts of singularity theory fit in the physics of the N=2 Landau-Ginsburg models. The critical behaviour of the theory is encoded in a certain natural “gauge-connection” in coupling-constant space. It is flat for a quashihomogeneous superpotential, but not in general. We find an explicit formula relating it to the Gauss-Manin connection of the singularity associated to the superpotential. Our results are valid for both the quasihomogeneous and the non-quasihomogeneous case, but in the former our equations simplify dramatically. We discuss some preliminary applications.
68 citations
TL;DR: In this article, the differential geometry of a family of N = 2 Landau-Ginzburg models is studied in coupling constant space, where the superpotential is quasihomegeneous and the geometry turns out to be related to the homogeneous bundles over a certain coset space.
61 citations
TL;DR: In this paper, the authors derive directly from the N = 2 LG superpotential the differential equations that determine the flat coordinates of arbitrary topological CFT's, and derive the equations for determining the flat coordinate of arbitrary CFTs.
Abstract: We derive directly from the N=2 LG superpotential the differential equations that determine the flat coordinates of arbitrary topological CFT's.
53 citations
TL;DR: In this paper, a description of three-dimensional N=4 extended supersymmetric quantum mechanics is proposed, based on the superfield construction of the action, and the main feature of the approach is the unification of threedimensional bosonic coordinate vector and fermionic spinor of O(3) in one irreducible representation of N = 4 supersymmetry algebra.
Abstract: A description of three-dimensional N=4 extended supersymmetric quantum mechanics is proposed, based on the superfield construction of the action. The main feature of the approach is the unification of three-dimensional bosonic coordinate vector and fermionic spinor of O(3) in one irreducible representation of N=4 supersymmetry algebra.
53 citations
TL;DR: In this article, it was shown that if the Lagrangian of a supersymmetric theory contains massless fields then the superpotential suffers finite renormalisations in general.
51 citations
TL;DR: In this paper, a generic massless supersymmetric theory involving chiral superfields is shown to possess local quantum corrections of the form of an integral over a chiral subspace of superspace.
45 citations
TL;DR: In this paper, a necessary and sufficient condition for a superpotential to be shape invariant was proposed, which automatically gives zero SWKB corrections, and the supersymmetric WKB approximation was shown to be exact.
TL;DR: The superstring flipped SU (5) model remains intact after the inclusion in the superpotential of the low-energy effective theory of all relevant string-induced non-renormalizable terms as discussed by the authors.
TL;DR: In this paper, the action of the Backlund transformations on axisymmetric chiral fields is investigated, and it is calculated how the superpotential Γ associated with any chiral field is affected by the backlund transformations.
Abstract: The action of the Backlund transformations on the axisymmetric chiral fields is investigated. In particular, it is calculated how the superpotential Γ associated with any chiral field is affected by the Backlund transformations.
TL;DR: In this paper, a supersymmetric theory involving gauge particles is shown to lead, generically, to one loop corrections to the chiral superpotential, which are further examined and shown to modify the pattern symmetry breaking.
TL;DR: The non-renormalization theorem for supersymmetric theories has been shown to be valid when massless fields are present as mentioned in this paper, and if supersymmetry is unbroken in the tree approximation then it cannot be broken by radiative corrections.
TL;DR: In this paper, the Kahler structure arising in N = 2 supersymmetric quantum mechanics is investigated and the cohomology is shown to be concentrated in the middle dimension, and is isomorphic to the direct sum of the local rings of the singularities of the superpotential.
Abstract: We investigate the Kahler structure arising inn-component,N=2 supersymmetric quantum mechanics. We defineL2-cohomology groups of a modified\(\bar \partial \) and relate them to the corresponding spaces of harmonic forms. We prove that the cohomology is concentrated in the middle dimension, and is isomorphic to the direct sum of the local rings of the singularities of the superpotential. In the physics language, this means that the number of ground states is equal to the absolute value of the index of the supercharge, and each ground state contains exactlyn fermions.
TL;DR: A connection between extended N = 2 supersymmetric quantum mechanics (SQM) and the inverse scattering method is established in this paper, which allows all possible types of variation in the spectrum of the initial Hamiltonian.
Abstract: A connection between extendedN=2 supersymmetric quantum mechanics (SQM) and the inverse scattering method is established. In contrast to theN=1 SQM, the present approach allows all possible types of variation in the spectrum of the initial Hamiltonian. The relationship between smooth and singular potentials is also discussed.
TL;DR: In this article, the authors extended the Wess-Zumino model in supersymmetric quantum mechanics to the case where the superpotential V(z) is a meromorphic function on C ∞ ∞.
Abstract: The ordinary (holomorphic) N=2 Wess–Zumino model in supersymmetric quantum mechanics is extended to the case where the superpotential V(z) is a meromorphic function on C■{∞}. The extended model is analyzed in a mathematically rigorous way. Self‐adjoint extensions and the essential self‐adjointness of the supercharges are discussed. The supersymmetric Hamiltonian defined by one of the self‐adjoint extensions of the supercharges has no fermionic zero‐energy states (‘‘vanishing theorem’’). It is proven that if V(z) has only one pole at z=0 in C, then the supercharges are essentially self‐adjoint on C∞0(R2■{0};C4). The special case where V(z)=λz−p(p∈N,λ∈C■{0}) is analyzed in detail to prove the following facts: (i) the number of the bosonic zero‐energy ground state(s) is equal to p−1; (ii) the supercharges are not Fredholm.
TL;DR: The geometry of the N = 2 superconformal manifolds is studied in this article, where it is shown that the underlying intrinsic operators of these manifolds form an N 2ℤ2-graded algebra.
Abstract: The geometry of the N=2 superconformal manifolds is studied. It is shown that the underlying intrinsic operators of these manifolds form an N=2ℤ2-graded algebra. We also show that the N=2 superconformal structure is equivalent to the Grassmann analyticity. Superconformal chiral tensors and integral measures are analyzed and the invariant superpotential, built of the primary chiral superfields, is given. A new realization of the N=2 supercurrent is obtained.
TL;DR: In this paper, the authors presented the zero-dimensional M × M random matrix model with N = 2 supersymmetry using a manifest hermitian supermatrix formalism.
CERN1
TL;DR: In this paper, a realistic three-generation Calabi-Yau superstring model was constructed, in which the gauge group SU(6)×U(1) breaks down spontaneously to the standard model group at the compactification scale.
TL;DR: In this article, a nontrivial example of a quantum superpotential in the framework of supersymmetric quantum mechanics is constructed using integrable soliton-like functions.
01 Jan 1991
TL;DR: In this paper, the authors extended the Wess-Zumino model in supersymmetric quantum mechanics to the case where the superpotential V(z) is a meromorphic function on C ∞ ∞.
Abstract: The ordinary (holomorphic) N=2 Wess–Zumino model in supersymmetric quantum mechanics is extended to the case where the superpotential V(z) is a meromorphic function on C■{∞}. The extended model is analyzed in a mathematically rigorous way. Self‐adjoint extensions and the essential self‐adjointness of the supercharges are discussed. The supersymmetric Hamiltonian defined by one of the self‐adjoint extensions of the supercharges has no fermionic zero‐energy states (‘‘vanishing theorem’’). It is proven that if V(z) has only one pole at z=0 in C, then the supercharges are essentially self‐adjoint on C∞0(R2■{0};C4). The special case where V(z)=λz−p(p∈N,λ∈C■{0}) is analyzed in detail to prove the following facts: (i) the number of the bosonic zero‐energy ground state(s) is equal to p−1; (ii) the supercharges are not Fredholm.
01 Jan 1991
TL;DR: In this article, the properties and soliton structure of a class of quantum integrable N = 2 supersymmetric field theories that can be obtained by a particular perturbation of certain n = 2 superconformal field theories are reviewed.
Abstract: We review the properties, and soliton structure, of a class of quantum integrable N = 2 supersymmetric field theories that can be obtained by a particular perturbation of certain N = 2 superconformal field theories. These integrable theories are remarkable in that they have an exactly known effective Landau-Ginzburg superpotential, and this enables us to determine much about the soliton spectrum. We also discuss some features of other integrable perturbations of the N =2 supersymmetric minimal models.
TL;DR: In this article, it was shown that there are solitons with fractional fermion number in integrable supersymmetric models with a nice Landau-Ginzburg description with a Chebyshev polynomial superpotential.
Abstract: We show that there are solitons with fractional fermion number in integrable $N$=2 supersymmetric models. We obtain the soliton S-matrix for the minimal, $N$=2 supersymmetric theory perturbed in the least relevant chiral primary field, the $\Phi _{(1,3)}$ superfield. The perturbed theory has a nice Landau-Ginzburg description with a Chebyshev polynomial superpotential. We show that the S-matrix is a tensor product of an associated ordinary $ADE$ minimal model S-matrix with a supersymmetric part. We calculate the ground-state energy in these theories and in the analogous $N$=1 case and $SU(2)$ coset models. In all cases, the ultraviolet limit is in agreement with the conformal field theory.
01 Jul 1991
TL;DR: In this article, the authors studied the SU(5)×U(1)1.1.4×U (1)4×SO (10)×SO(6) superstring model and showed that the model describes two massive generations of quarks and leptons as well as a massless generation expected to receive naturally suppressed masses from higher order nonrenormalizable terms.
Abstract: We study in detail gauge symmetry breaking in the SU(5)×U(1)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. We find that, to this order, the model describes two massive generations of quarks and leptons as well as a massless generation expected to receive naturally suppressed masses from higher order non-renormalizable terms. D and F-flatness restricts the number of massless isodoublets to four. We solve the coupled renormalization group equations for the gauge and Yukawa couplings in the two-loop approximation and obtain the top-quark mass as a function of two parameters of the model which could be chosen to be ratios of singlet v.e.v's associated with the surplu s (U(1))4 breaking. We obtain a heavy top-quark with 150GeV ≤ m1
TL;DR: In this article, an algebraic view of supersymmetric quantum mechanics is taken, emphasising the couplings between bosonic and fermionic modes in the supercharges, and a class of model Hamiltonians is introduced wherein the fermion operators are canonical and the bosonic ones satisfy a Lie algebra (superalgebra) whose representation theory permits the complete solution of the model in principle.
Abstract: An algebraic view of supersymmetric quantum mechanics is taken, emphasising the couplings between bosonic and fermionic modes in the supercharges. A class of model Hamiltonians is introduced wherein the fermionic (bosonic) operators are canonical and the bosonic (fermionic) ones satisfy a Lie algebra (superalgebra) whose representation theory permits the complete solution of the model in principle. The kinematical symmetry of such models is also described. The examples of one and two bosonic models, with 5U(2) and 5U(3) dynamical algebras respectively, are analysed in detail.