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An N=1 duality cascade from a deformation of N=4 SUSY Yang-Mills / Timothy Hollowood; Prem Kumar

Journal of High Energy Physics, Volume: 2004, Issue: 12, Pages: 034 - 034

Swansea University Authors: Timothy, Hollowood, Prem, Kumar

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DOI (Published version): 10.1088/1126-6708/2004/12/034

Abstract

We study relevant deformations of an N = 1 superconformal theory which is an exactly marginal deformation of U(N) N = 4 SUSY Yang-Mills. The resulting theory has a classical Higgs branch that is a complex deformation of the orbifold C3/Zn × Zn that is a non-compact Calabi-Yau space with isolated con...

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Published in: Journal of High Energy Physics
Published: 2004
URI: https://cronfa.swan.ac.uk/Record/cronfa16146
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Abstract: We study relevant deformations of an N = 1 superconformal theory which is an exactly marginal deformation of U(N) N = 4 SUSY Yang-Mills. The resulting theory has a classical Higgs branch that is a complex deformation of the orbifold C3/Zn × Zn that is a non-compact Calabi-Yau space with isolated conifold singularities. At these singular points in moduli space the theory exhibits a duality cascade and flows to a confining theory with a mass gap. By exactly solving the corre- sponding holomorphic matrix model we compute the exact quantum superpotential generated at the end of the duality cascade and calculate precisely how quantum effects deform the classical moduli space by replacing the conifold singularities with three-cycles of finite size. Locally the structure is that of the deformed conifold, but the global geometry is different. This desingularized quantum deformed geometry is the moduli space of probe D3-branes at the end of a duality cascade realized on the worldvolume of (fractional) D3-branes placed at the isolated conifold singularities in the deformation of the orbifold C3/Zn × Zn with discrete torsion.
College: College of Science
Issue: 12
Start Page: 034
End Page: 034