Noncommutative gauge theory on fuzzy sphere from matrix model

By Satoshi Iso, Y. Kimura, Kanji Tanaka, Kazunori Wakatsuki. 2001

212 citations recorded by the source corpus.

We derive a noncommutative U(1) and U(n) gauge theory on the fuzzy sphere from a three-dimensional matrix model by expanding the model around a classical solution of the fuzzy sphere. Chern–Simons term is added in the matrix model to make the fuzzy sphere as a classical solution of the model. Majorana mass term is also added to make it supersymmetric. We consider two large N limits, one corresponding to a gauge theory on a commutative sphere and the other to that on a noncommutative plane. We also investigate stability of the fuzzy sphere by calculating one-loop effective action around classical solutions. In the final part of this paper, we consider another matrix model which gives a supersymmetric gauge theory on the fuzzy sphere. In this matrix model, only Chern–Simons term is added and supersymmetry transformation is modified.

Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/7ce0412ca1919bcf91b7f54da044a46b5fe73c44

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Nuclear and High Energy Physics

1. Mark Van Raamsdonk
2. M. Sheikh-Jabbari
3. H. Steinacker
4. Keshav Dasgupta
5. J. Maldacena
6. T. Takayanagi
7. S. Raju
8. R. Myers

In Statistical and Nonlinear Physics

1. Mark Van Raamsdonk
2. H. Steinacker
3. M. Sheikh-Jabbari
4. Keshav Dasgupta
5. K. Papadodimas
6. S. Raju
7. R. Myers
8. Erik P. Verlinde

Citations in the corpus

• Matrix perturbation theory for M-theory on a PP-wave (2002, methodology): “To evaluate the coefficients in the cubic and quartic actions, we note (see, for example [21])”
• Quantized Gauge Theory on the Fuzzy Sphere as Random Matrix Model (2003, background): “This is one possible action for a gauge theory on the fuzzy sphere, cp. [8,13,14,15,16, 17 ].”
• Emergent geometry and gravity from matrix models: an introduction (2010, unknown): “[7, 10, 11, 32].”
• Gromov-Hausdorff Distance for Quantum Metric Spaces/Matrix Algebras Converge to the Sphere for Quantum Gromov-Hausdorff Distance (2001, unknown): “(See [21], [26] and references therein.”