D1/D5 Moduli in SCFT and Gauge Theory, and Hawking Radiation

TL;DR

This work analyzes the D1/D5 system at generic supergravity moduli by constructing all marginal operators of the ${\cal N}=(4,4)$ SCFT on the orbifold ${\cal M}$ and identifying them with the twenty near-horizon moduli of the dual supergravity via a global $\,SO(4)\,$ symmetry. It further elucidates the gauge dynamics of the D1/D5 bound state through a $(4,4)$ linear sigma model, showing that the four blow-up moduli correspond to Fayet-Iliopoulos terms and the theta term governing bound-state splitting. The authors demonstrate that both the supergravity absorption cross-section for minimal scalars and the SCFT computation of the Hawking rate are independent of the moduli, and that the Bekenstein-Hawking entropy remains unchanged, consistent with an unchanged Einstein metric and central charge. Overall, the paper strengthens the AdS/CFT correspondence across moduli, clarifies the D1/D5 gauge-theory description of fragmentation, and confirms the moduli-independence of Hawking radiation in this framework.

Abstract

We construct marginal operators of the orbifold SCFT corresponding to all twenty near-horizon moduli in supergravity, including operators involving twist fields which correspond to the blowing up modes. We identify the operators with the supergravity moduli in a 1-1 fashion by inventing a global SO(4) algebra in the SCFT. We analyze the gauge dynamics of the D1/D5 system relevant to the splitting $(Q_1,Q_5)\to (Q'_1,Q'_5)+ (Q''_1,Q''_5)$ with the help of a linear sigma model. We show in supergravity as well as in SCFT that the absorption cross-section for minimal scalars is the same all over the near-horizon moduli space.