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Updated: May 28, 2025
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Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
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Defining the Type IIB Matrix Model without Breaking Lorentz Symmetry
Yuhma Asano1,2, Jun Nishimura3,4, Worapat Piensuk3,4
1University of Tsukuba, Institute of Pure and Applied Sciences, 1-1-1 Tennodai, Tsukuba, Ibaraki 305-8571, Japan.
Physical Review Letters
|February 14, 2025
Summary
The type IIB matrix model, a superstring theory formulation, faces divergence issues due to Lorentz symmetry. This study proposes a new method to gauge-fix Lorentz symmetry, enabling nonperturbative simulations and extracting spacetime evolution.
Area of Science:
- Theoretical Physics
- String Theory
- Quantum Gravity
Background:
- The type IIB matrix model offers a nonperturbative approach to superstring theory.
- It is crucial for understanding the emergence of (3+1)-dimensional spacetime.
- Conventional regularization methods break Lorentz symmetry, posing a challenge.
Purpose of the Study:
- To address the divergence issue in the type IIB matrix model's partition function.
- To overcome the Lorentz symmetry breaking caused by infrared cutoffs.
- To propose a novel, nonperturbative method for gauge-fixing Lorentz symmetry.
Main Methods:
- Analysis of a simple model to understand observable behavior.
- Development of a new gauge-fixing procedure for Lorentz symmetry.
- Establishing a revised definition for the type IIB matrix model.
Main Results:
- Lorentz-invariant observables appear classical due to symmetry-breaking cutoffs.
- A fully nonperturbative gauge-fixing method for Lorentz symmetry is proposed.
- The new model definition allows for numerical simulations.
Conclusions:
- The classicalization of observables is an artifact of symmetry-breaking regularization.
- The proposed gauge-fixing method resolves the divergence problem.
- Numerical simulations can now extract spacetime evolution from type IIB matrix model configurations.
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