Showing papers on "Superpotential published in 1987"
TL;DR: In this article, the Fayet-Iliopoulos D-term was shown to be stable under certain conditions and to be able to destabilize the space-time superpotential.
518 citations
TL;DR: In this article, it was shown that the space-time superpotential, which is known to receive no string theoretic corrections in finite orders in α′, is modified by world-sheet instantons.
365 citations
CERN1
TL;DR: In this paper, the equivalence of R+αR2 gravity with the Einstein theory coupled to a scalar field with specified non-linear self-couplings was shown to be equivalent to standard supergravity coupled to two chiral multiplets.
250 citations
TL;DR: In this paper, effective supergravity lagrangians for the massless sector of new four-dimensional superstrings were derived by suitable Z2 or Z2 ⊗ Z2′ truncations of N = 4, D = 4 Lagrangians.
85 citations
TL;DR: In this paper, a rigorous analysis of the vacuum structure of two models of supersymmetric quantum mechanics is presented, which are the quantum mechanics versions of the two-dimensional N = 1 and N = 2 Wess-Zumino quantum field models.
79 citations
TL;DR: In this paper, the authors introduce supersymmetry breaking terms into the superpotential of the supergravity theories derived as the point field limit of the four-dimensional N = 1 superstrings.
56 citations
TL;DR: An upper bound of 108 GeV to the mass of the lightest Higgs scalar is found, independent of the precise gauge group, soft-supersymmetry-breaking parameters, or superpotential parameters.
Abstract: We consider low-energy supersymmetric models which come from ${\mathrm{E}}_{6}$-based grand unified or superstring-inspired theories whose scalar fields come from 27's, 27\ifmmode\bar\else\textasciimacron\fi{}'s, or 1's of ${\mathrm{E}}_{6}$. Two classes of models emerge. In one, an upper bound of 108 GeV to the mass of the lightest Higgs scalar is found, independent of the precise gauge group, soft-supersymmetry-breaking parameters, or superpotential parameters. In the other, the requirement of perturbative unification is sufficient to arrive at a similar bound. Other Higgs-boson mass relations are also discussed. Failure to find a Higgs boson with a mass near or below 108 GeV would therefore rule out nearly all such ${\mathrm{E}}_{6}$-based models.
53 citations
TL;DR: In this article, a recipe for resolving the ordering ambiguities in quantum hamiltonians of supersymmetric theories is proposed, where the Weyl symbol of the anticommutator of supercharges does not coincide with the Poisson bracket of their Weyl symbols (i.e. the classical hamiltonian).
52 citations
TL;DR: It is shown that all the nonrenormalizable terms in the effective superpotential for any Abelian symmetric orbifold with at least (0,2) world-sheet supersymmetry as well as any blown-up (2, 2) orbifolds are exponentially suppressed by the size R of the compactified space.
Abstract: We show that all the nonrenormalizable terms in the effective superpotential for any Abelian symmetric orbifold with at least (0,2) world-sheet supersymmetry as well as any blown-up (2,2) orbifold are exponentially suppressed by the size R of the compactified space, i.e., proportionalexp(-R/sup 2//..cap alpha..').
48 citations
TL;DR: In this article, the consequences of the invariance of the superpotential under the complexification of the internal symmetry group on the determination of the possible patterns of symmetry and supersymmetry breaking are established in a globally supersymmetric theory.
Abstract: The consequences of the invariance of the superpotential under the complexificationG
c of the internal symmetry group on the determination of the possible patterns of symmetry and supersymmetry breaking are established in a globally supersymmetric theory. In particular, in the case of global internal symmetry we show that a vacuum associaated to a pointz, whereG
z
c
≠G
z
c
is always degenerate with a vacuum associated to a pointz′, whereG
z′
c
=G
z′
c
; all the other degeneracies of the minimum of the potential on an orbit ofG
c are also determined and shown to be completely removed when the internal symmetry is gauged. The zeroes of theD-term of a supersymmetric gauge theory are characterized as the points of the closed orbits ofG
c which are at minimum distance from the origin; at these pointsG
z
c
=G
z
c
. It is rigorously proved that the minimum of the potential is zero if the gradient of the superpotential vanishes somewhere. It is also shown that theD-term necessarily vanishes at the minimum of the potential if the direction of spontaneous supersymmetry breaking is invariant byG.
44 citations
TL;DR: In this paper, it was shown that the non-polynomial oscillator has supersymmetric character and that the ground states correspond to ground states of different quantum mechanical systems.
TL;DR: In this article, the authors consider the possibility of CP violation induced through complex moduli of the Calabi-Yau space (i.e., through the complex parameters in the equations that define the manifold).
Abstract: Armed with the explicitly calculated Yukawa couplings and knowledge of discrete symmetries we discuss the phenomenology of the three-generation superstring model suggested by Yau. We consider the possibility of CP violation induced through the complex moduli of the Calabi-Yau space (i.e., through the complex parameters in the equations that define the manifold). On analyzing the dimension-four terms in the superpotential in search of F-flat directions, we find that F-flat directions generally lead to extra massless quarks and mirror quarks as well as extra massless leptons and mirror leptons in the low-energy spectrum. We then consider a non-F-flat scenario that has only three quark and lepton generations at low energies. We also analyze other aspects of the model such as constraints of sin/sup 2/theta/sub w/ on the intermediate scale and the neutrino masses and we argue that neutron-antineutron oscillation may be observable in this class of models.
TL;DR: In this article, it is shown in an abstract mathematical framework of supersymmetric quantum theory that, under some conditions for the perturbation, the wave and the scattering operators on bosonic states have some connections with those on fermionic ones.
Abstract: First it is shown in an abstract mathematical framework of supersymmetric quantum theory that, under some conditions for the perturbation, the wave and the scattering operators on bosonic states have some connections with those on fermionic ones. In particular, a unitary equivalence between the two scattering operators is proved. Then, a class of supersymmetric quantum mechanical models on Rn is discussed and the abstract general results are applied to obtain some more explicit results on the supersymmetric potential scattering.
TL;DR: In this article, the conditions for the existence of a sector with mass-degenerate supersymmetric partners in the presence of spontaneous breaking of local supersymmetry were studied.
TL;DR: In this paper, the effective four-dimensional field theory arising from the superstring is studied in detail, and two schemes differ in the dynamics of the superpotential are presented in which the one-loop effective potential is well-behaved and possesses a global minimum for finite values of the fields.
TL;DR: In this paper, it was shown that the only supersymmetric vacuum invariant under the standard gauge group has a larger symmetry given by SO(10), if one takes the Higgs in the 78, 27, and 27 representations and the superpotential contains a term linear in the three representations.
TL;DR: In this paper, the supersymmetric description of the interaction of two particles with half-integer spin is discussed, and the superymmetry of NN and N anti N scattering is investigated in the approximation of one-pion exchange.
Abstract: For a supersymmetric Hamiltonian scattering theory is constructed, and the general structure of the S matrix is found. The connection between the continuum wave functions for the equivalent quantum systems - the components of the supersymmetric multiplet - is obtained. The possibility of a supersymmetric description of the interaction of two particles with half-integer spin is discussed, and the supersymmetry of NN and N anti N scattering is investigated in the approximation of one-pion exchange.
TL;DR: A superfield formalism for instanton calculations in SQCD with arbitrary numbers N, M of colors and flavors and with non-vanishing classical scalar expectation values is presented in this article.
TL;DR: In this paper, a degree theory for Wiener maps is developed for path integrals for supersymmetric Hamiltonians in quantum mechanics, and an application of this theory is given in the study of path integral for super-SUHMs.
TL;DR: The Hertz-Debye superpotential formalism is used to calculate the electromagnetic, neutrino and gravitational perturbation fields of rotationally symmetric Kasner spacetime as discussed by the authors.
Abstract: The Hertz-Debye superpotential formalism is used to calculate the electromagnetic, neutrino and gravitational perturbation fields of rotationally symmetric Kasner spacetime. At early and late times, exact solutions, using the Heun bi-confluent formalism, have been found, showing the relative behaviour of these fields, resulting from anisotropy of this algebraically special spacetime.
TL;DR: In this article, a spinor representation of bosons is presented in 1+0 dimensions through Abel's integral transformation, and an action is written in the Dirac form up to surface terms.
Abstract: A spinor representation of bosons (spinorization method) is presented in 1+0 dimensions through Abel's integral transformation, and an action is written in the Dirac form up to surface terms. When applied to the supersymmetric N = 1 quantum mechanics a N = 1/2 SUSY of the action and the vacuum energy cancellation of quantum fluctuations become manifest in this representation.
TL;DR: It is shown that there are two and only two different Z/sub 2/ symmetries that incorporate proton decay, neutrino masses, and tree-level flavor-changing neutral currents in E/sub 6/ superstring models without any intermediate scale.
Abstract: We analyze the simplest discrete symmetries of the superpotential of superstring-inspired E/sub 6/ models necessary to simultaneously suppress (i) proton decay, (ii) neutrino masses, and (iii) tree-level flavor-changing neutral currents in E/sub 6/ superstring models without any intermediate scale. We show that there are two and only two different Z/sub 2/ symmetries that incorporate (i)--(iii). These symmetries put restrictions on the decays of exotic particles; in particular, the exotic quarks always decay semileptonically. A Z/sub 3/-symmetric model satisfying (i)--(iii) and with ..mu -->..e..gamma.. forbidden is also constructed.
TL;DR: In this paper, a generalization of no-scale supergravity models is presented where scale transformations and axion-like classical symmetries of the superstrings in four dimensions are explicitly realized as dilations and translations of the scalar fields in the Kahler manifold.
TL;DR: It is shown that if the Yukawa superpotential of the effective four-dimensional E/sub 6/ gauge theory is required to lead in a natural way to no rapid proton decay, no Fritzsch-type quark and charged-lepton mass matrices, and naturally small neutrino masses generated through radiative corrections, then for three generations a minimal Z/sub 2/ x Z/ sub 5/ symmetry is required.
Abstract: It is shown that within the framework of the E/sub 8/ x E/sub 8/ heterotic superstring if the Yukawa superpotential of the effective four-dimensional E/sub 6/ gauge theory is required to lead in a natural way to (i) no rapid proton decay, (ii) Fritzsch-type quark and charged-lepton mass matrices, and (iii) naturally small neutrino masses generated through radiative corrections, then for three generations a minimal Z/sub 2/ x Z/sub 5/ symmetry is required. A minimal model based on this discrete symmetry is suggested and discussed. The generalization for more than three generations is analyzed.
TL;DR: In this article, the authors derived lower bounds on the masses of fourth generation quarks from the recent experimental bound m τ'⩾ 41 GeV, for both nonsupersymmetric and supersymmetric models.
TL;DR: In this paper, the authors derived an explicitly supersymmetric expression for the chiral anomaly of the Yang-Mills theory in two dimensions using the descent equations in constrained (1, 1)-superspace.
Abstract: We derive an explicitly supersymmetric expression for the chiral anomaly of a supersymmetric Yang-Mills theory in two dimensions. For this we use the descent equations in constrained (1, 1)-superspace. The anomaly is polynomial in the vector superfield.
TL;DR: In this article, the conversation laws for general Lagrangian including torsion were derived using Noether's theorem, and the general covariant energy-momentum conversation law was obtained from general displacement transformation x'~(μ) = x~μe_a~μb~a.
Abstract: Using Noether's theorem, the conversation laws for general Lagrangian in Einstein-Cartan theory are derived. The general covariant energy-momentum conversation law for general Lagrangian including torsion is obtained from general displacement transformation x'~(μ) = x~μe_a~μb~a. It is shown that in our general case the superpotential must be existed. This result is the natural extension of the theory in references [1] , [2].
TL;DR: In this paper, the renormalization group scaling of the gauge couplings in four-generation superstring models is considered and two-loop corrections are used to exclude simplest models where the intermediate scale is generated by a superpotential of the type (27 27 )2.
TL;DR: In this paper, a mass protection symmetry, H, contains a chiral SU(M N) [or SU(m N + 1)] symmetry, supported "algebraically" by complementarity and "dynamically" through effective superpotential, and the successive SUSY-breaking is constrained by the remnant of the QCD dynamics.
Abstract: Quarks and leptons together with other exotic fermions are regarded as quasi N ambu·Goldstone fermions and chiral fermions generated by supersymmetric quantum chromodynamics (SQCD) with N"co,oc"( =N)
TL;DR: In this article, the compatibility conditions for extended supersymmetric Yang-Mills theory are given for a linear system, which is covariant under the superconformal algebra su(2, 2 N ) and the spectral parameters are two independent projective supertwistors.