Dieter Lüst

STATIONARY SOLUTIONS OF N = 2 SUPERGRAVITY

Abstract We discuss general bosonic stationary configurations of N = 2, D = 4 supergravity coupled to vector multiplets. The requirement of unbroken supersymmetries imposes constraints on the holomorphic symplectic section of the underlying special Kahler manifold. The corresponding solutions of the field equations are completely determined by a set of harmonic functions. As examples we discuss rotating black holes, Taub-NUT and Eguchi-Hanson-like instantons for the STU model. In addition, we discuss, in the static limit, world-sheet instanton corrections to the STU black hole solution, in the neighborhood of a vanishing 4-cycle of the Calabi-Yau manifold. Our procedure is quite general and includes all known black hole solutions that can be embedded into N = 2 supergravity.

Mirror symmetries for brane configurations and branes at singularities

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Higher-order black-hole solutions in N=2 supergravity and Calabi-Yau string backgrounds

Abstract Based on special geometry, we consider corrections to N=2 extremal black-hole solutions and their entropies originating from higher-order derivative terms in N=2 supergravity. These corrections are described by a holomorphic function, and the higher-order black-hole solutions can be expressed in terms of symplectic Sp(2n+2) vectors. We apply the formalism to N=2 type-IIA Calabi-Yau string compactifications and compare our results to recent related results in the literature.

Curved BPS domain wall solutions in four-dimensional N=2 supergravity

Abstract We construct four-dimensional domain wall solutions of N =2 gauged supergravity coupled to vector and to hypermultiplets. The gauged supergravity theories that we consider are obtained by performing two types of Abelian gauging. In both cases we find that the behaviour of the scalar fields belonging to the vector multiplets is governed by the so-called attractor equations known from the study of BPS black hole solutions in ungauged N =2 supergravity theories. The scalar fields belonging to the hypermultiplets, on the other hand, are either constant or exhibit a run-away behaviour. These domain wall solutions preserve 1/2 of supersymmetry and they are, in general, curved. We briefly comment on the amount of supersymmetry preserved by domain wall solutions in gauged supergravity theories obtained by more general gaugings.

Heterotic string theory on nonKahler manifolds with H flux and gaugino condensate

We discuss compactifications of heterotic string theory to four dimensions in the presence of H-fluxes, which deform the geometry of the internal manifold, and a gaugino condensate which breaks supersymmetry. We focus on the compensation of the two effects in order to obtain vacua with zero cosmological constant and we comment on the effective superpotential describing these vacua.

Curved BPS domain wall solutions in five-dimensional gauged supergravity

We analyze the possibility of constructing supersymmetric curved domain wall solutions in five-dimensional = 2 gauged supergravity, which are supported by non-constant scalar fields belonging either to vector multiplets only or to vector and hypermultiplets. We show that the BPS equations for the warp factor and for the vector scalars are modified by the presence of a four-dimensional cosmological constant on the domain wall, in agreement with earlier results by DeWolfe, Freedman, Gubser and Karch. We also show that the cosmological constant on the domain wall is anti-de Sitter like and that it constitutes an independent quantity, not related to any of the objects appearing in the context of very special geometry.

New N=1 superconformal field theories and their supergravity description

Abstract In this note we construct a new class of superconformal field theories as mass deformed N =4 super Yang–Mills theories. We will argue that these theories correspond to the fixed points which were recently found [1] studying the deformations of the dual IIB string theory on AdS 5 × S 5 .

Intersecting orbifold planes and local anomaly cancellation in M-theory

Abstract A systematic program is developed for analyzing and canceling local anomalies on networks of intersecting orbifold planes in the context of M-theory. Through a delicate balance of factors, it is discovered that local anomaly matching on the lower-dimensional intersection of two orbifold planes may require twisted matter on those planes which do not conventionally support an anomaly (such as odd-dimensional planes). In this way, gravitational anomalies can, in principle, tell us about (twisted) gauge groups on subspaces which are not necessarily ten-, six- or two-dimensional. An example is worked out for the case of an S 1 Z 2 × T 4 Z 2 orbifold and possible implications for four-dimensional physics are speculated on.

Curved BPS domain walls and RG flow in five dimensions

We determine, in the context of five-dimensional = 2 gauged supergravity with vector and hypermultiplets, the conditions under which curved (non-Ricci flat) supersymmetric domain wall solutions may exist. These curved BPS domain wall solutions may, in general, be supported by non-constant vector and hyper scalar fields. We establish our results by a careful analysis of the BPS equations as well as of the associated integrability conditions and the equations of motion. We construct an example of a curved BPS solution in a gauged supergravity model with one hypermultiplet. We also discuss the dual description of curved BPS domain walls in terms of RG flows.

N = 1 supersymmetric gauge theories and supersymmetric 3-cycles

Abstract In this paper we discuss the strong coupling limit of chiral N = 1 supersymmetric gauge theory via their embedding into M-theory. In particular we focus on the brane box models of Hanany and Zaffaroni and show that after a T -duality transformation their M-theory embedding is described by supersymmetric 3-cycles; its geometry will encode the holomorphic non-perturbative information about the gauge theory.