OnS-duality in Abelian gauge theory View Full Text


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Article Info

DATE

1995-09

AUTHORS

E. Witten

ABSTRACT

U(1) gauge theory onR4 is known to possess an electric-magnetic duality symmetry that inverts the coupling constant and extends to an action ofSL(2,Z). In this paper, the duality is studied on a general four-manifold and it is shown that the partition function is not a modular-invariant function but transforms as a modular form. This result plays an essential role in determining a new low-energy interaction that arises whenN=2 supersymmetric Yang-Mills theory is formulated on a four-manifold; the determination of this interaction gives a new test of the solution of the model and would enter in computations of the Donaldson invariants of four-manifolds with b2+≤1. Certain other aspects of abelian duality, relevant to matters such as the dependence of Donaldson invariants on the second Stieffel-Whitney class, are also analyzed. More... »

PAGES

383-410

Journal

TITLE

Selecta Mathematica

ISSUE

2

VOLUME

1

Author Affiliations

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/bf01671570

DOI

http://dx.doi.org/10.1007/bf01671570

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1004437611


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