Fundamental Strings, Holography, and Nonlinear Superconformal Algebras

TL;DR

This paper explores holographic dualities involving fundamental heterotic strings in AdS_3  S^p geometries, revealing nonlinear superconformal algebras and their implications for quantum gravity corrections.

Contribution

It demonstrates how nonlinear superconformal algebras naturally emerge in holographic duals of heterotic strings and analyzes their impact on central charge calculations.

Findings

Nonlinear superconformal algebras appear in the dual CFT.

Quantum gravity corrections relate to these nonlinear algebras.

Insights into the worldsheet sigma-model for strings on AdS_3  S^2.

Abstract

We discuss aspects of holography in the AdS_3 \times S^p near string geometry of a collection of straight fundamental heterotic strings. We use anomalies and symmetries to determine general features of the dual CFT. The symmetries suggest the appearance of nonlinear superconformal algebras, and we show how these arise in the framework of holographic renormalization methods. The nonlinear algebras imply intricate formulas for the central charge, and we show that in the bulk these correspond to an infinite series of quantum gravity corrections. We also makes some comments on the worldsheet sigma-model for strings on AdS_3\times S^2, which is the holographic dual geometry of parallel heterotic strings in five dimensions.