Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2005-05-10
Nucl.Phys. B735 (2006) 96-126
Physics
High Energy Physics
High Energy Physics - Theory
43 pages, 12 figures: V2 typos corrected
Scientific paper
10.1016/j.nuclphysb.2005.11.026
We study K\"{a}hler gravity on local SU(N) 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 A_{N-1} singularity fibred over \mathbb{P}^1. With such a regularization prescription, the number of the gravitational quanta becomes finite and turns to be the perturbative prepotential for five-dimensional \mathcal{N}=1 supersymmetric SU(N) Yang-Mills. These quanta are labelled by lattice points in a certain convex polyhedron on \mathbb{R}^3. 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.
Maeda Takashi
Nakatsu Toshio
Noma Yui
Tamakoshi Takeshi
No associations
LandOfFree
Gravitational Quantum Foam and Supersymmetric Gauge Theories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Gravitational Quantum Foam and Supersymmetric Gauge Theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Gravitational Quantum Foam and Supersymmetric Gauge Theories will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-312733