Susanne Reffert

On the Renormalizability of Horava-Lifshitz-type Gravities

In this paper, we discuss the renormalizability of Hořava–Lifshitz-type gravity theories. Using the fact that Hořava–Lifshitz (HL) gravity is very closely related to the stochastic quantization of topologically massive gravity, we show that the renormalizability of HL gravity only depends on the renormalizability of topologically massive gravity. This is a consequence of the BRST and time-reversal symmetries pertinent to theories satisfying the detailed balance condition.

String theory of the Omega deformation

A bstractIn this article, we construct a supersymmetric real mass deformation for the adjoint chiral multiplets in the gauge theory describing the dynamics of a stack of D2-branes in type II string theory. We do so by placing the D2-branes into the T-dual of a supersymmetric NS fluxbrane background. We furthermore note that this background is the string theoretic realization of an Ω deformation of flat space in the directions transverse to the branes where the deformation parameters satisfy ε1 = −ε2. This Ω deformation therefore serves to give supersymmetric real masses to the chiral multiplets of the 3D gauge theory. To illustrate the physical effect of the real mass term, we derive bps-saturated classical solutions for the branes rotating in this background. Finally, we reproduce all the same structure in the presence of NS fivebranes and comment on the relationship to the gauge theory/spin-chain correspondence of Nekrasov and Shatashvili.

The renormalizability of Hořava–Lifshitz-type gravities

In this paper, we discuss the renormalizability of Hořava–Lifshitz-type gravity theories. Using the fact that Hořava–Lifshitz (HL) gravity is very closely related to the stochastic quantization of topologically massive gravity, we show that the renormalizability of HL gravity only depends on the renormalizability of topologically massive gravity. This is a consequence of the BRST and time-reversal symmetries pertinent to theories satisfying the detailed balance condition.

Classical integrability of the squashed three-sphere, warped AdS3 and Schrödinger spacetime via T-duality

We discuss the integrability of 2D nonlinear sigma models with target space being the squashed three-sphere, warped anti-de Sitter space and the Schrodinger spacetime. These models can be obtained via T-duality from integrable models. We construct an infinite family of non-local conserved charges from the T-dual Lax currents, enhancing the symmetry of warped anti-de Sitter space and the Schrodinger spacetime to .

Relating field theories via stochastic quantization

Abstract This note aims to subsume several apparently unrelated models under a common framework. Several examples of well-known quantum field theories are listed which are connected via stochastic quantization. We highlight the fact that the quantization method used to obtain the quantum crystal is a discrete analog of stochastic quantization. This model is of interest for string theory, since the (classical) melting crystal corner is related to the topological A-model. We outline several ideas for interpreting the quantum crystal on the string theory side of the correspondence, exploring interpretations in the Wheeler–De Witt framework and in terms of a non-Lorentz invariant limit of topological M-theory.

Relating gauge theories via Gauge/Bethe correspondence

In this note, we use techniques from integrable systems to study relations between gauge theories. The Gauge/Bethe correspondence, introduced by Nekrasov and Shatashvili, identifies the supersymmetric ground states of an

On the perturbative expansion around a Lifshitz point

\mathcal{N} = \left( {2,2} \right)

Sublattice counting and orbifolds

supersymmetric gauge theory in two dimensions with the Bethe states of a quantum integrable system. We make use of this correspondence to relate different quiver gauge theories which correspond to different formulations of the Bethe equations of the xxx and the tJ models.