Comment about UV regularization of basic commutators in string theories

TL;DR

This paper generalizes a zeta regularization method for basic commutators in string theories to models with non-trivial vacuums, showing it cancels problematic terms that violate algebraic consistency.

Contribution

It extends the UV regularization technique to more complex string models, ensuring algebraic consistency of the Virasoro algebra.

Findings

Cancellation of dangerous commutator terms

Preservation of Jacobi identity

Applicability to models with non-trivial vacuums

Abstract

Recently proposed by Hwang, Marnelius and Saltsidis zeta regularization of basic commutators in string theories is generalized to the string models with non-trivial vacuums. It is shown that implementation of this regularization implies the cancellation of dangerous terms in the commutators between Virasoro generators, which break Jacobi identity.