Lower Dimensional Branes in Boundary Conformal Field Theory

TL;DR

This paper explores exactly marginal boundary tachyon operators in boundary conformal field theory under constant electromagnetic backgrounds, analyzing their forms, soliton descriptions, and associated physical quantities.

Contribution

It introduces three specific tachyon operators and computes their energy-momentum tensor and antisymmetric tensor source in a path integral framework.

Findings

Hyperbolic sine, cosine, and exponential operators describe codimension-one solitons.

Overcritical transverse electric fields lead to new soliton solutions.

Explicit calculations of energy-momentum tensor and tensor source are provided.

Abstract

In the presence of constant background electromagnetic fields, we discuss three types of exactly marginal boundary tachyon operators for static kinks in boundary conformal field theory. Functional forms of three operators are hyperbolic sine, hyperbolic cosine, and exponential types, and they describe codimension-one solitons when the transverse electric field has overcritical value. The energy-momentum tensor and the source for antisymmetric tensor field are computed in the path integral approach for the exponential-type tachyon vertex operator.