Closed Superstring in Noncommutative Compact Spacetime

TL;DR

This paper investigates how noncommutative geometry influences the behavior of closed superstrings in compactified spacetime, affecting their quantization, supercurrents, and boundary states in the presence of background fields.

Contribution

It provides a detailed analysis of the combined effects of noncommutativity and compactification on closed superstring properties and boundary states.

Findings

Noncommutativity modifies superstring momentum and quantization.

Alterations in supercurrent and superconformal generators due to noncommutativity.

Changes in boundary states emitted from D-branes in noncommutative backgrounds.

Abstract

In this paper we study the effects of noncommutativity on a closed superstring propagating in the spacetime that is compactified on tori. The effects of compactification and noncommutativity appear in the momentum, quantization, supercurrent, super-conformal generators and in the boundary state of the closed superstring emitted from a D$_p$-brane with the NS$\otimes$NS background $B$-field.