The dual superconformal theory for Lpqr manifolds

TL;DR

This paper constructs a superconformal gauge theory for D3 branes on L^{p,q,r} toric singularities, analyzing its properties and duality cascades through geometric and field-theoretic checks.

Contribution

It introduces the superconformal gauge theory for L^{p,q,r} manifolds and verifies its consistency with toric geometry and duality cascade phenomena.

Findings

Matching of central charge with geometric data

Calculation of R-charges consistent with toric geometry

Analysis of fractional branes and duality cascades

Abstract

We present the superconformal gauge theory living on the world-volume of D3 branes probing the toric singularities with horizon the recently discovered Sasaki-Einstein manifolds L^{p,q,r}. Various checks of the identification are made by comparing the central charge and the R-charges of the chiral fields with the information that can be extracted from toric geometry. Fractional branes are also introduced and the physics of the associated duality cascade discussed.