Department of Physics Papers

Document Type

Conference Paper

Date of this Version

1987

Publication Source

Proceedings of the Salt Lake City Meeting

Start Page

396

Last Page

404

Abstract

This talk describes some work done jointly with L. Alvarez-Gaume, J.B. Bost, G. Moore, and C. Vafa [1][2], building on [3] and [4).

We were concerned with establishing bosonization results on two-dimensional surfaces with complicated topology. Far from being a mere curiosity, bosoniza­tion is of great interest in string theory. For example, bosonization has been used in light-cone gauge to prove the equivalence of the Green-Schwarz and NSR superstring [5][6]. Bosonization also plays a key role in understanding the gauge­ and super-symmetry of the heterotic string [7] and in formulating the covariant fermion emission vertex [8][9].

The papers [1], [2] generalize existing results on Fermi-Bose equivalence for Fermi fields of any spin on the sphere [10]-[13]. In this talk I will only discuss a subproblem, that of bosonizing spin 1/2 on the torus. It turns out that this problem is only slightly more difficult than the sphere case. One needs a way to "tell" the bosonic theory which of the various spin structures it is to mimic; this is accomplished by adding to the bosonic action a new global term. The new term is already familiar to mathematicians as the parity of a spin structure; it has an immediate generalization to any genus surface.

Copyright/Permission Statement

Electronic version of an article published as [Proceedings of the Salt Lake City Meeting, 1-9 © [copyright World Scientific Publishing Company]

Comments

At the time of publication, author Philip C. Nelson was affiliated with Harvard University. Currently, he is a faculty member in the Physics & Astronomy Department at the University of Pennsylvania.

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Date Posted: 01 May 2017