Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-07-13
Phys.Lett. B465 (1999) 119-127
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, harvmac. References added, version to appear in PLB
Scientific paper
We address the issue of the worldsheet and spacetime covariant formulation for matrix strings. The problem is solved in the limit of vanishing string coupling. To go beyond the g_s = 0 limit, we propose a topological quantum field theory as a twisted candidate. Our model involves the generalized octonionic or SU(4) instanton equations defined in eight dimensions for a supersymmetric U(N) Yang--Mills field living on a special holonomy manifold. The question of untwisting this matrix model into an anomaly free theory enlightens the need for an "extended" 2d-gravity sector, that we suggest could be (partially twisted) W-gravity.
Baulieu Laurent
Laroche Celine
Nekrasov Nikita
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