N=1* vacua, Fuzzy Spheres and Integrable Systems

Abstract

We calculate the exact eigenvalues of the adjoint scalar fields in the massive vacua of N=1* SUSY Yang-Mills with gauge group SU(N). This provides a field theory prediction for the distribution of D3 brane charge in the AdS dual. We verify the proposal of Polchinski and Strassler that the D3-brane's lie on a fuzzy sphere in the supergravity limit and determine the corrections to this distribution due to worldsheet and quantum effects. The calculation also provides several new results concerning the equilibrium configurations of the N-body Calogero-Moser Hamiltonian.

20 pages

References in corpus (3)

• An Exact Elliptic Superpotential for N=1^* Deformations of Finite N=2 Gauge Theories
• The large Nc limit of N=2 super Yang-Mills, fractional instantons and infrared divergences
• Geometric construction of elliptic integrable systems and N=1^* superpotentials

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• Massive Vacua of N=1* Theory and S-duality from Matrix Models
• S-Duality, Deconstruction and Confinement for a Marginal Deformation of N=4 SUSY Yang-Mills
• N=1 Superpotentials from Multi-Instanton Calculus
• Critical Points of Glueball Superpotentials and Equilibria of Integrable Systems
• Two-Dimensional Gauge Theory and Matrix Model
• A Note on Domain Walls and the Parameter Space of N=1 Gauge Theories
• Partition function of N=2* SYM on a large four-sphere
• Permutations of Massive Vacua
• Effective Superpotentials, Geometry and Integrable Systems