N=1* vacua, Fuzzy Spheres and Integrable Systems
Nick Dorey, Annamaria Sinkovics
TL;DR
This paper computes exact eigenvalues of scalar fields in N=1* SUSY Yang-Mills vacua, linking field theory predictions to D3 brane distributions on fuzzy spheres and exploring related integrable systems.
Contribution
It provides exact eigenvalues for scalar fields in massive vacua, confirming the fuzzy sphere D3-brane distribution and analyzing corrections from quantum effects, connecting gauge theory and supergravity.
Findings
Verification of fuzzy sphere D3-brane distribution in supergravity limit
Calculation of corrections due to worldsheet and quantum effects
New insights into equilibrium configurations of Calogero-Moser Hamiltonian
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.
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