Superpotential

About: Superpotential is a research topic. Over the lifetime, 3836 publications have been published within this topic receiving 137867 citations.

Non-Perturbative Corrections and Modularity in N=1 Type IIB Compactifications

Abstract: Non-perturbative corrections and modular properties of four-dimensional type IIB Calabi-Yau orientifolds are discussed. It is shown that certain non-perturbative α' corrections survive in the large volume limit of the orientifold and periodically correct the Kahler potential. These corrections depend on the NS-NS two form and have to be completed by D-instanton contributions to transform covariantely under symmetries of the type IIB orientifold background. It is shown that generically also the D-instanton superpotential depends on the two-form moduli as well as on the complex dilaton. These contributions can arise through theta-functions with the dilaton as modular parameter. An orientifold of the Enriques Calabi-Yau allows to illustrate these general considerations. It is shown that this compactification leads to a controlled four-dimensional = 1 effective theory due to the absence of various quantum corrections. Making contact to the underlying topological string theory the D-instanton superpotential is proposed to be related to a specific modular form counting D3, D1, D(-1) degeneracies on the Enriques Calabi-Yau.

Consistent group and coset reductions of the bosonic string

Abstract: Dimensional reductions of pure Einstein gravity on cosets other than tori are inconsistent The inclusion of specific additional scalar and p-form matter can change the situation For example, a D-dimensional Einstein–Maxwell-dilaton system, with a specific dilaton coupling, is known to admit a consistent reduction on S2 = SU(2)/U(1), of a sort first envisaged by Pauli We provide a new understanding, by showing how an S3 = SU(2) group-manifold reduction of (D + 1)-dimensional Einstein gravity, of a type first indicated by DeWitt, can be broken into two steps; a Kaluza-type reduction on U(1) followed by a Pauli-type coset reduction on S2 More generally, we show that any D-dimensional theory that itself arises as a Kaluza U(1) reduction from (D + 1) dimensions admits a consistent Pauli reduction on any coset of the form G/U(1) Extensions to the case G/H are given Pauli coset reductions of the bosonic string on G = (G × G)/G are believed to be consistent, and a consistency proof exists for S3 = SO(4)/SO(3) We examine these reductions, and arguments for consistency, in detail The structures of the theories obtained instead by DeWitt-type group-manifold reductions of the bosonic string are also studied, allowing us to make contact with previous such work in which only singlet scalars are retained Consistent truncations with two singlet scalars are possible Intriguingly, despite the fact that these are not supersymmetric models, if the group manifold has dimension 3 or 25, they admit a superpotential formulation, and hence first-order equations yielding domain-wall solutions

De Sitter Supergravity Model Building

Abstract: We present the explicit de Sitter supergravity action describing the interaction of supergravity with an arbitrary number of chiral and vector multiplets as well as one nilpotent chiral multiplet. The action has a non-Gaussian dependence on the auxiliary field of the nilpotent multiplet, however, it can be integrated out for an arbitrary matter-coupled supergravity. The general supergravity action with a given Kahler potential $K$, superpotential $W$ and vector matrix $f_{AB}$ interacting with a nilpotent chiral multiplet consists of the standard supergravity action defined by $K$, $W$ and $f_{AB}$ where the scalar in the nilpotent multiplet has to be replaced by a bilinear combination of the fermion in the nilpotent multiplet divided by the Gaussian value of the auxiliary field. All additional contributions to the action start with terms quartic and higher order in the fermion of the nilpotent multiplet. These are given by a simple universal closed form expression.