Compactifications of the N=2^* flow

TL;DR

This paper explores exact supergravity solutions describing N=2^* gauge theory flows on compact spaces like S^3 and dS_4, extending previous work on non-compact cases and providing new insights into gauge/gravity duality.

Contribution

It presents explicit deformations of the Pilch-Warner flow for compactified and dS_4 world-volumes, including uplift to ten dimensions, advancing the understanding of holographic duals in these settings.

Findings

Exact supergravity solutions for N=2^* flows on S^3 and dS_4.

Extension of Pilch-Warner flow to compact and curved spaces.

Uplift of solutions to ten-dimensional supergravity.

Abstract

In hep-th/0004063 Pilch and Warner (PW) constructed N=2 supersymmetric RG flow corresponding to the mass deformation of the N=4 SU(N) Yang-Mills theory. In this paper we present exact deformations of PW flow when the gauge theory 3-space is compactified on S^3. We consider also the case with the gauge theory world-volume being dS_4 instead of R^{3,1}. The solution is constructed in five-dimensional gauged supergravity and is further uplifted to 10d.