Matrix strings from generalized Yang-Mills theory on arbitrary Riemann surfaces

Details Matrix strings from generalized Yang-Mills theory on arbitrary Riemann surfaces Matrix strings from generalized Yang-Mills theory on arbitrary Riemann surfaces

1999-11-30

arxiv.org/abs/hep-th/9911249v2

Nucl.Phys. B576 (2000) 241-264

Physics

High Energy Physics

High Energy Physics - Theory

Latex2e, 29 pages, 2 .eps figures

Scientific paper

10.1016/S0550-3213(00)00088-2

We quantize pure 2d Yang-Mills theory on an arbitrary Riemann surface in the gauge where the field strength is diagonal. Twisted sectors originate, as in Matrix string theory, from permutations of the eigenvalues around homotopically non-trivial loops. These sectors, that must be discarded in the usual quantization due to divergences occurring when two eigenvalues coincide, can be consistently kept if one modifies the action by introducing a coupling of the field strength to the space-time curvature. This leads to a generalized Yang-Mills theory whose action reduces to the usual one in the limit of zero curvature. After integrating over the non-diagonal components of the gauge fields, the theory becomes a free string theory (sum over unbranched coverings) with a U(1) gauge theory on the world-sheet. This is shown to be equivalent to a lattice theory with a gauge group which is the semi-direct product of S_N and U(1)^N. By using well known results on the statistics of coverings, the partition function on arbitrary Riemann surfaces and the kernel functions on surfaces with boundaries are calculated. Extensions to include branch points and non-abelian groups on the world-sheet are briefly commented upon.

Affiliated with

Also associated with

No associations

Rating

Matrix strings from generalized Yang-Mills theory on arbitrary Riemann surfaces does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Matrix strings from generalized Yang-Mills theory on arbitrary Riemann surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Matrix strings from generalized Yang-Mills theory on arbitrary Riemann surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-295510