Remarks on twisted theories with matter

Abstract

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.

18 pages, harvmac, one figure

References in corpus (6)

• Superconformal invariance and the geography of four-manifolds
• N=2 supersymmetric gauge theories with massive hypermultiplets and the Whitham hierarchy
• Instanton corrections in N=2 supersymmetric theories with classical gauge groups and fundamental matter hypermultiplets
• The uses of Whitham hierarchies
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Cited by in corpus (2)

• The Dijkgraaf-Vafa prepotential in the context of general Seiberg-Witten theory
• The Liouville Geometry of N=2 Instantons and the Moduli of Punctured Spheres