Remarks on twisted theories with matter

Details Remarks on twisted theories with matter Remarks on twisted theories with matter

2000-11-25

arxiv.org/abs/hep-th/0011227v1

JHEP 0101:004,2001

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, harvmac, one figure

Scientific paper

10.1088/1126-6708/2001/01/004

We investigate some aspects of N=2 twisted theories with matter hypermultiplets in the fundamental representation of the gauge group. A consistent formulation of these theories on a general four-manifold requires turning on a particular magnetic flux, which we write down explicitly in the case of SU(2k). We obtain the blowup formula and show that the blowup function is given by a hyperelliptic sigma-function with singular characteristic. We compute the contact terms and find, as a corollary, interesting identities between hyperelliptic Theta functions.

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