D-Branes and Noncommutative String Theory

TL;DR

This thesis explores nonperturbative and noncommutative aspects of string theory, constructing D-brane solutions, analyzing their supersymmetry, and studying open string interactions with background fields.

Contribution

It provides explicit constructions of D-branes in various backgrounds, including pp-wave spacetimes, and analyzes their supersymmetry and boundary conditions in the presence of background fluxes.

Findings

D-brane bound states satisfy BPS mass-charge relations

Explicit solutions for D-branes in pp-wave backgrounds with flux

Open string amplitudes with mixed boundary conditions analyzed

Abstract

In this thesis we discuss some nonperturbative and noncommutative aspects of string theory. We present low-energy background field solutions corresponding to various D-branes (and their bound states) and intersecting branes in flat and pp-wave spacetime. A class of D-brane bound states are constructed from charged macroscopic strings and they are shown to satisfy the mass-charge relationship of 1/2 BPS bound states. Another class of D-branes and intersecting branes are constructed, by solving the type II field equations explicitly, in pp-wave background with constant and non-constant flux. The worldsheet construction of these D-branes and their spacetime supersymmetry properties have also been analyzed in some detail. Further, we study an example of open strings ending on D-branes with mixed boundary condition. In this context, we analyze various open and mixed sector tree-level amplitudes of N=2 strings in the presence of constant NS-NS antisymmetric tensor (B) field.