Brane Resolution Through Fibration

TL;DR

This paper constructs smooth, regular p-brane solutions with fibered circular directions, enabling the study of holographic flows from higher-dimensional theories to lower-dimensional field theories, including superconformal and Chern-Simons theories.

Contribution

It introduces a method of fibration and blown-up cycles to generate fully regular p-brane solutions, expanding the landscape of non-singular supergravity backgrounds.

Findings

Constructed regular D3-brane solutions describing RG flows to 3D theories.

Developed smooth M2-brane solutions for flows from ABJM theory.

Explored U-duality transformations to generate additional non-singular solutions.

Abstract

We consider p-branes with one or more circular directions fibered over the transverse space. The fibration, in conjunction with the transverse space having a blown-up cycle, enables these p-brane solutions to be completely regular. Some such circularly-wrapped D3-brane solutions describe flows from SU(N)^3 N=2 theory, F_0 theory, as well as an infinite family of superconformal quiver gauge theories, down to three-dimensional field theories. We discuss the operators that are turned on away from the UV fixed points. Similarly, there are wrapped M2-brane solutions which describe smooth flows from known three-dimensional supersymmetric Chern-Simons matter theories, such as ABJM theory. We also consider p-brane solutions on gravitational instantons, and discuss various ways in which U-duality can be applied to yield other non-singular solutions.