M-Fivebranes Wrapped on Supersymmetric Cycles II

TL;DR

This paper constructs supergravity solutions for M-theory fivebranes wrapped on supersymmetric cycles, revealing new AdS/CFT dualities and IR fixed points for various supersymmetric field theories.

Contribution

It provides explicit BPS equations and supergravity solutions for M5-branes wrapped on different supersymmetric cycles, expanding the landscape of known AdS/CFT dualities.

Findings

New supergravity solutions for wrapped M5-branes.

Identification of IR superconformal fixed points.

Examples of dual field theories with different supersymmetries.

Abstract

We construct D=11 supergravity solutions dual to the twisted field theories arising when M-theory fivebranes wrap supersymmetric cycles. The cases considered are M-fivebranes wrapped on (i) a complex Lagrangian four-cycle in a D=8 hyper-Kaehler manifold corresponding to a D=2 field theory with (2,1) supersymmetry (ii) a product of two holomorphic two-cycles in a product of two Calabi-Yau two-folds corresponding to a D=2 field theory with (2,2) supersymmetry and (iii) a product of a holomorphic two-cycle and a SLAG three-cycle in a product of a Calabi-Yau two-fold and a Calabi-Yau three-fold corresponding to a quantum mechanics with two supercharges. In each case we construct BPS equations and find IR superconformal fixed points corresponding to new examples of AdS/CFT duality arising from the twisted field theories.