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Gravitational quantum foam and supersymmetric gauge theories
- Source :
-
Nuclear Physics B . Feb2006, Vol. 735 Issue 1-3, p96-126. 31p. - Publication Year :
- 2006
-
Abstract
- Abstract: We study Kähler gravity on local geometry and describe precise correspondence with certain supersymmetric gauge theories and random plane partitions. The local geometry is discretized, via the geometric quantization, to a foam of an infinite number of gravitational quanta. We count these quanta in a relative manner by measuring a deviation of the local geometry from a singular Calabi–Yau threefold, that is a singularity fibred over . With such a regularization prescription, the number of the gravitational quanta becomes finite and turns to be the perturbative prepotential for five-dimensional supersymmetric Yang–Mills. These quanta are labelled by lattice points in a certain convex polyhedron on . The polyhedron becomes obtainable from a plane partition which is the ground state of a statistical model of random plane partition that describes the exact partition function for the gauge theory. Each gravitational quantum of the local geometry is shown to consist of N unit cubes of plane partitions. [Copyright &y& Elsevier]
- Subjects :
- *GAUGE field theory
*GEOMETRIC quantization
*DIFFERENTIAL geometry
*QUANTUM theory
Subjects
Details
- Language :
- English
- ISSN :
- 05503213
- Volume :
- 735
- Issue :
- 1-3
- Database :
- Academic Search Index
- Journal :
- Nuclear Physics B
- Publication Type :
- Academic Journal
- Accession number :
- 19395316
- Full Text :
- https://doi.org/10.1016/j.nuclphysb.2005.11.026