Fundamental Strings, Holography, and Nonlinear Superconformal Algebras

Understand

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.