Fuzzy torus in matrix model

2004/12/27 by Subrata Bal, Masanori Hanada, H. Kawai +3 · 17 citations
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #Computer science #Geometry #Materials science #Mathematics #Matrix (chemical analysis) #Noncommutative and Quantum Gravity Theories #Torus #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2005.08.021

published in Nuclear Physics B 727(1-2), 196-217 (Elsevier BV) · Latex file, 5 figures, 21 pages

arxiv created 2004/12/27 · openalex publication_date 2005/09/07 · arxiv updated 2010/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We have calculated the free energy up to two loop to compare T² with T⁴ in IIB matrix model. It turns out that T² has smaller free energy than T⁴. We have also discussed the generation of the gauge group by considering k-coincident fuzzy tori and found that in this case U(1) gauge group is favored. This means that if the true vacuum is four-dimensional, it is not a simple fuzzy space considered here.

Citations

• Exactly solvable matrix models with spontaneous breakdown ofSO<mml:mn/>(D)<mml:mn/>symmetry
• New approach to the complex-action problem and its application to a nonperturbative study of superstring theory
• A large-N reduced model as superstring
• Noncommutative Geometry¶and Gauge Theory on Fuzzy Sphere
• Myers effect and tachyon condensation

Cited by

• Quantization of Algebraic Varieties Defined by Casimir Polynomials via Matrix Regularization: Fuzzy S⁷ and Beyond