Exact Results on Twist Anomaly

TL;DR

This paper analytically derives physical observables in vacuum string field theory related to D-brane configurations, revealing the origin of twist anomaly through star algebra spectroscopy and matrix regularization.

Contribution

It provides an analytical derivation of twist anomaly effects in vacuum string field theory using star algebra spectroscopy and matrix regularization techniques.

Findings

Physical observables like energy density and tachyon mass are non-zero due to twist anomaly.

The origin of twist anomaly is identified in finite-size matrix regularization.

Analytical methods clarify the role of singular behavior in observables.

Abstract

In vacuum string field theory, the sliver state solution has been proposed as a candidate of a D-brane configuration. Physical observables associated with this solution, such as its energy density and the tachyon mass, are written in terms of the Neumann coefficients. These observables, though vanish naively due to twist symmetry, acquire non-vanishing values arising from their singular behavior. Therefore, this phenomenon is called twist anomaly. In this paper we present an analytical derivation of these physical observables with the help of the star algebra spectroscopy. We also identify in our derivation the origin of the twist anomaly in the finite-size matrix regularization.