D-Branes, AdS/CFT Correspondence, and T-Duality

TL;DR

This paper computes D-brane spectra in Type IIB string theory on specific compactifications using K-theory, revealing a mirror-symmetry-like property for D-branes similar to derived category phenomena.

Contribution

It introduces a K-theory-based method to analyze D-branes in AdS/CFT setups and uncovers a mirror-symmetry analogue for D-branes.

Findings

D-brane spectra computed via K-theory.

Identification of mirror-symmetry-like properties for D-branes.

Insights into the structure of D-branes in AdS/CFT correspondence.

Abstract

The $D$-brane spectra in the Type IIB string theory compactified on $AdS_{p+2}\times S^{8-p}$ are computed using the K-theory approach. The results signal the existence of the mirror-symmetry-analogue for $D$-branes, analogous to that rised in the context of derived categories.