Branched Coverings and Interacting Matrix Strings in Two Dimensions

Details Branched Coverings and Interacting Matrix Strings in Two Dimensions Branched Coverings and Interacting Matrix Strings in Two Dimensions

2001-03-29

arxiv.org/abs/hep-th/0103242v1

Nucl.Phys. B616 (2001) 495-516

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX2e, 25 pages, 4 figures

Scientific paper

10.1016/S0550-3213(01)00384-4

We construct the lattice gauge theory of the group G_N, the semidirect product of the permutation group S_N with U(1)^N, on an arbitrary Riemann surface. This theory describes the branched coverings of a two-dimensional target surface by strings carrying a U(1) gauge field on the world sheet. These are the non-supersymmetric Matrix Strings that arise in the unitary gauge quantization of a generalized two-dimensional Yang-Mills theory. By classifying the irreducible representations of G_N, we give the most general formulation of the lattice gauge theory of G_N, which includes arbitrary branching points on the world sheet and describes the splitting and joining of strings.

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