The effective supergravity of little string theory

Ignatios Antoniadis,Stefan Pokorski,Antonio Delgado,Chrysoula Markou

doi:10.1140/epjc/s10052-018-5632-4

Abstract

In this work we present the minimal supersymmetric extension of the five-dimensional dilaton-gravity theory that captures the main properties of the holographic dual of little string theory. It is described by a particular gauging of mathcal {N}=2 supergravity coupled with one vector multiplet associated with the string dilaton, along the U(1) subgroup of SU(2) R-symmetry. The linear dilaton in the fifth coordinate solution of the equations of motion (with flat string frame metric) breaks half of the supersymmetries to mathcal {N}=1 in four dimensions. Interest in the linear dilaton model has lately been revived in the context of the clockwork mechanism, which has recently been proposed as a new source of exponential scale separation in field theory.

Highlights

Besides its own theoretical interest, little string theory provides a framework with interesting phenomenological consequences
In this work we present the minimal supersymmetric extension of the five-dimensional dilaton-gravity theory that captures the main properties of the holographic dual of little string theory
Interest in the linear dilaton model has lately been revived in the context of the clockwork mechanism, which has recently been proposed as a new source of exponential scale separation in field theory

Summary

Introduction

Besides its own theoretical interest, little string theory provides a framework with interesting phenomenological consequences. The corresponding supergravity action [15] admits a gauging of the U (1) subgroup of the SU (2) Rsymmetry, that generates a potential for the single scalar field [15,16]. This potential depends on two parameters allowing a multiple of possibilities with critical or non critical points, or even flat potential with supersymmetry breaking. Where δdenotes the supersymmetry transformation after the gauging (under which the deformed action is invariant), g is the U (1) coupling constant, μ is the -matrix in five spacetime dimensions and the dots stand again for terms that vanish in the vacuum. We find that the scalar metric, the Christoffel symbols and the third-rank tensor (that have only one component each) are respectively

The 5D dual of LST

Spectrum and concluding remarks