Twisted determinants and bosonic open strings in an electromagnetic field
Rodolfo Russo, Stefano Sciuto
TL;DR
This paper derives new identities involving Theta functions from bosonization equivalence and uses them to compute the multiloop partition function of bosonic open strings in a constant electromagnetic field.
Contribution
It introduces novel identities for Theta functions and applies them to calculate the multiloop partition function in string theory with electromagnetic backgrounds.
Findings
Derived new Theta function identities from bosonization equivalence.
Computed the multiloop partition function for bosonic open strings in electromagnetic fields.
Enhanced understanding of string interactions in electromagnetic backgrounds.
Abstract
The bosonization equivalence between the 2-dimensional Dirac and Laplacian operators can be used to derive new interesting identities involving Theta functions. We use these formulae to compute the multiloop partition function of the bosonic open string in presence of a constant electromagnetic field.
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