Yang-Mills integrals
Open Access
- 22 February 2000
- journal article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 17 (5) , 1171-1179
- https://doi.org/10.1088/0264-9381/17/5/326
Abstract
SU (N ) Yang-Mills integrals form a new class of matrix models which, in their maximally supersymmetric version, are relevant to recent non-perturbative definitions of 10-dimensional IIB superstring theory and 11-dimensional M-theory. We demonstrate how Monte Carlo methods may be used to establish important properties of these models. In particular, we consider the partition functions as well as the matrix eigenvalue distributions. For the latter we derive a number of new exact results for SU (2). We also report preliminary computations of Wilson loops.Keywords
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This publication has 20 references indexed in Scilit:
- Multi-instantons and Maldacena's conjectureJournal of High Energy Physics, 1999
- D-Brane Bound States ReduxCommunications in Mathematical Physics, 1998
- Witten index and threshold bound states of D-branesNuclear Physics B, 1997
- A large-N reduced model as superstringNuclear Physics B, 1997
- theory as a matrix model: A conjecturePhysical Review D, 1997
- On the quantum mechanics of supermembranesNuclear Physics B, 1988
- Witten index calculation in supersymmetric gauge theoryNuclear Physics B, 1986
- Supersymmetric ground state wave functionsNuclear Physics B, 1985
- On quantum mechanics with extended supersymmetry and nonabelian gauge constraintsAnnals of Physics, 1985
- Fierz identities for real Clifford algebras and the number of superchargesJournal of Mathematical Physics, 1985