Abstract
We study compactifications of an infinite family of four-dimensional mathcal{N} = 1 SCFTs on a Riemann surface in the presence of arbitrary background fluxes for global symmetries. The four-dimensional parent theories have holographic Sasaki-Einstein duals in type IIB string theory. We compute central charges and R-charges of baryonic operators in the resulting two-dimensional mathcal{N} = (0, 2) theories in three distinct ways: from the field theory side utilizing c-extremization, its recently discovered geometric dual formulation, and holographically using new AdS3 duals of two-dimensional field theories.
Highlights
Since the advent of AdS/CFT in [1] many examples of dual pairs have been conjectured
The gravity solutions we find for S2 and T2 Riemann surfaces are characterized by integers a < 0 and b, c > 0, whilst the 4d field theory and the resulting 2d theories are characterized by integers a, b, c > 0
For the dictionary between geometric and field theory data for the case g = 1. Substituting these relations into the central charge and R-charges of the field theory, we find that the results of c-extremization and its geometric dual agree
Summary
Since the advent of AdS/CFT in [1] many examples of dual pairs have been conjectured. Afterwards we solve the master equation and the conditions that follow from the regularity analysis to find globally regular solutions dual to 2d SCFTs. We use the general expressions to compute the central charge and R-charges and match with the field theory results. We study the central charges and R-charges of baryonic operators of 2d N = (0, 2) SCFTs arising from twisted compactifications of certain 4d N = 1 SCFTs on a compact genus g Riemann surface Σg from field theory. We begin by briefly reviewing c-extremization and the 4d N = 1 La,b,c SCFTs in order to keep this paper as self-contained as possible We provide a Mathematica package as supplementary material in which the reader can find the results for the general case if they so wish
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