Penrose limit of a non-supersymmetric RG fixed point

TL;DR

This paper explores the Penrose limit of a non-supersymmetric, unstable background in string theory, extending the BMN duality to a less symmetric setting and proposing a dual gauge theory conjecture.

Contribution

It extends the BMN duality to a non-supersymmetric, unstable background, providing a stable theory with minimal supercharges and conjecturing its dual gauge theory.

Findings

Derived a stable non-supersymmetric background with minimal supercharges

Extended BMN duality to Romans' non-supersymmetric solution

Proposed conjectures on the dual gauge theory structure

Abstract

We extend the BMN duality between IIB superstring theory on a pp-wave background and a sector of N=4 super Yang-Mills theory to the non-supersymmetric and unstable background built by Romans as a compactification on a U(1) bundle over CP2 with 3-form and 5-form field strength fluxes. We obtain a stable theory with the fewest number of supercharges (e.g. 16) allowed by this kind of solutions and make conjectures on the dual gauge theory.