String Theory and Black Holes

Abstract

This thesis aims to make precise the microscopic understanding of Hawking radiation from the D1/D5 black hole. We present an explict construction of all the shortmultiplets of the $\mathcal{N}=(4,4)$ SCFT on the symmetric product ${\tilde{T}}^4/S(Q_1{Q}_5)$. An investigation of the symmerties of this SCFT enables us to make a one-to-one correspondence beween the supergravity moduli and the marginal opeerators of the SCFT. We analyse the gauge theory dynamics of the splitting of the D1/D5 system into subsystems and show that it agrees with supergravity. We have shown that the fixed scalars of the D1/D5 system couple only to (2,2) operators thus removing earlier discrepancies between D-brane calculations and semiclassical calculations. The absorption cross-section of the minimal scalars is determined from first principles upto a propotionality constant. We show that the absorption cross-section of the minimal scalars computed in supergravity and the SCFT is independent of the moduli.

106 pages, PhD thesis at TIFR