N=1 supersymmetry, deconstruction, and bosonic gauge theories
Feb, 2003
33 pages
e-Print:
- hep-th/0302011 [hep-th]
Report number:
- CALT-68-2425,
- HUTP-03-A010,
- ITFA-2003-7
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Abstract:
We show how the full holomorphic geometry of local Calabi-Yau threefold compactifications with N=1 supersymmetry can be obtained from matrix models. In particular for the conifold geometry we relate F-terms to the general amplitudes of c=1 non-critical bosonic string theory, and express them in a quiver or, equivalently, super matrix model. Moreover we relate, by deconstruction, the uncompactified c=1 theory to the six-dimensional conformal (2,0) theory. Furthermore, we show how we can use the idea of deconstruction to connect 4+k dimensional supersymmetric gauge theories to a k-dimensional internal bosonic gauge theory, generalizing the relation between 4d theories and matrix models. Examples of such bosonic systems include unitary matrix models and gauged matrix quantum mechanics, which deconstruct 5-dimensional supersymmetric gauge theories, and Chern-Simons gauge theories, which deconstruct gauge theories living on branes wrapped over cycles in Calabi-Yau threefolds.- string model
- supersymmetry
- gauge field theory: Yang-Mills
- matrix model
- duality
- holography
- potential: superpotential
- any-dimensional
- partition function
- geometry: algebra
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