In certain regions of the moduli space of K3 and Calabi-Yau manifolds, D-branes wrapped on non-supersymmetric cycles may give rise to stable configurations. We show that in the orbifold limit, some of these stable configurations can be described by solvable boundary conformal field theories. The world-volume theory of N coincident branes of this type is described by a non-supersymmetric U(N) ga...

We propose and study a supersymmetric version of the Janus domain wall solution of type IIB supergravity. Janus is dual to N = 4 super Yang Mills theory with a coupling constant that jumps across an interface. While the interface in the Janus field theory completely breaks all supersymmetries, it was found earlier that some supersymmetry can be restored in the field theory at the cost of breaki...

We analyze the possibility of a spontaneous breaking of C-invariance in gauge theories with fermions in vector-like — but otherwise generic — representations of the gauge group. QCD, supersymmetric Yang–Mills theory, and orientifold field theories, all belong to this class. We argue that charge conjugation is not spontaneously broken as long as Lorentz invariance is maintained. Uniqueness of th...

We find a new sector of string theory in AdS5× S5 describing non-relativistic superstrings in that geometry. The worldsheet theory of non-relativistic strings in AdS5× S5 is derived and shown to reduce to a supersymmetric free field theory in AdS2. Non-relativistic string theory provides a new calculable setting in which to study holography.

We present a trace formula for an index over the spectrum of four dimensional superconformal field theories on S3× time. Our index receives contributions from states invariant under at least one supercharge and captures all information – that may be obtained purely from group theory – about protected short representations in 4 dimensional superconformal field theories. In the case of the N = 4 ...

We study string theory in the background of a two-dimensional black hole which is described by an SL(2, R)/U(1) coset conformal field theory. We determine the spectrum of this conformal field theory using supersymmetric quantum mechanics and give an explicit form of the vertex operators in terms of the Jacobi functions. We also discuss the applicability of SUSY quantum mechanics techniques to n...

In this paper, based on recent work [13] 1 , we construct deformed Poincaré SUSY algebra in terms of twisted (Hopf) algebra. By adapting this new interpretation of superPoincaré algrebra as our fundamental symmetry, we can construct Lorentz and Poincaré SUSY invariant quantum field theory on the non(anti)commutative (super)space. The key point is validity of our new twist element that guarantee...

In order to gain insight into the structure of quantum field theory, one often couples relevant composite operators to external fields such that functional differentiation w.r.t. these fields yields Green functions of the respective operator. A particular variant of this method consists in replacing the coupling constant by a local coupling field. The corresponding composite operator is the loc...

We show how to construct measures on Banach manifolds associated to supersymmetric quantum field theories. These measures are mathematically well-defined objects inspired by the formal path integrals appearing in the physics literature on quantum field theory. We give three concrete examples of our construction. The first example is a family μ P of measures on a space of functions on the two-to...