# What lattice theorists can do for superstring/M-theory

@article{Hanada2016WhatLT, title={What lattice theorists can do for superstring/M-theory}, author={Masanori Hanada}, journal={arXiv: High Energy Physics - Lattice}, year={2016} }

The gauge/gravity duality provides us with nonperturbative formulation of superstring/M-theory. Although inputs from gauge theory side are crucial for answering many deep questions associated with quantum gravitational aspects of superstring/M-theory, many of the important problems have evaded analytic approaches. For them, lattice gauge theory is the only hope at this moment. In this review I give a list of such problems, putting emphasis on problems within reach in a five-year span, including…

## 20 Citations

### Lattice studies of supersymmetric gauge theories

- PhysicsThe European Physical Journal Special Topics
- 2022

Supersymmetry plays prominent roles in the study of quantum field theory and in many proposals for potential new physics beyond the standard model. Lattice field theory provides a non-perturbative…

### On regularizing the AdS superstring worldsheet

- Business
- 2018

In this short review (to appear as a contribution to an edited volume) we discuss perturbative and non-perturbative approaches to the quantization of the Green-Schwarz string in AdS backgrounds with…

### Progress and prospects of lattice supersymmetry

- PhysicsProceedings of The 36th Annual International Symposium on Lattice Field Theory — PoS(LATTICE2018)
- 2019

Supersymmetry plays prominent roles in the study of quantum field theory and in many proposals for potential new physics beyond the standard model, while lattice field theory provides a…

### QCD, with strings attached

- Physics
- 2016

In the nearly 20 years that have elapsed since its discovery, the gauge-gravity correspondence has become established as an efficient tool to explore the physics of a large class of strongly-coupled…

### QCD, with Strings Attached

- Physics
- 2016

In the nearly twenty years that have elapsed since its discovery, the gauge-gravity correspondence has become established as an efficient tool to explore the physics of a large class of…

### Membrane Matrix models and non-perturbative checks of gauge/gravity duality

- Physics
- 2016

We compare the bosonic and maximally supersymmetric membrane models. We find that in Hoppe regulated form the bosonic membrane is well approximated by massive Gaussian quantum matrix models. In…

### 2 CFT correlators from classical Kasner metrics

- Physics
- 2019

The classical gravity approximation is often employed in AdS/CFT to study the dual field theory, as it allows for many computations. A drawback is however the generic presence of singularities in…

### Thermal phase transition in Yang-Mills matrix model

- PhysicsJournal of High Energy Physics
- 2020

We study the bosonic matrix model obtained as the high-temperature limit of two-dimensional maximally supersymmetric SU($N$) Yang-Mills theory. So far, no consensus about the order of the…

### Toward simulating superstring/M-theory on a quantum computer

- PhysicsJournal of High Energy Physics
- 2021

Abstract
We present a novel framework for simulating matrix models on a quantum computer. Supersymmetric matrix models have natural applications to superstring/M-theory and gravitational physics, in…

### The AdS^2_{\theta}/CFT_1 Correspondence and Noncommutative Geometry II: Noncommutative Quantum Black Holes

- Physics
- 2021

In this article we present the construction of noncommutative AdS 2 θ black hole and its four-dimensional Yang-Mills IKKT-type matrix model which includes two competing Myers term one responsible for…

## References

SHOWING 1-10 OF 134 REFERENCES

### Nonlattice simulation for supersymmetric gauge theories in one dimension.

- PhysicsPhysical review letters
- 2007

This paper proposes a nonlattice approach for one-dimensional supersymmetric gauge theories, which are important in the string or M theory context and can be used to investigate the gauge-gravity duality from first principles, and to simulate M theory based on the matrix theory conjecture.

### Gauge/gravity duality and lattice simulations of one dimensional SYM with sixteen supercharges

- Physics
- 2015

We study the gauge/gravity duality for supersymmetric SU(N) Yang-Mills theory in 1+0 dimension with sixteen supercharges using lattice simulations. The conjectured duality states that the gravity…

### Maximally supersymmetric Yang-Mills on the lattice

- Physics
- 2015

We summarize recent progress in lattice studies of four-dimensional N=4 supersymmetric Yang--Mills theory and present preliminary results from ongoing investigations. Our work is based on a…

### Loop formulation of supersymmetric Yang-Mills quantum mechanics

- Physics
- 2014

A bstractWe derive the fermion loop formulation of N=4$$ \mathcal{N}=4 $$ supersymmetric SU(N) Yang-Mills quantum mechanics on the lattice. The loop formulation naturally separates the contributions…

### Supergravity and The Large N Limit of Theories With Sixteen Supercharges

- Physics
- 1998

We consider field theories with sixteen supersymmetries, which include U(N) Yang-Mills theories in various dimensions, and argue that their large N limit is related to certain supergravity solutions.…

### N=4 supersymmetry on a space-time lattice

- Physics
- 2014

Maximally supersymmetric Yang--Mills theory in four dimensions can be formulated on a space-time lattice while exactly preserving a single supersymmetry. Here we explore in detail this lattice…

### ANTI-DE SITTER SPACE, THERMAL PHASE TRANSITION AND CONFINEMENT IN GAUGE THEORIES

- Physics
- 1998

The correspondence between supergravity (and string theory) on AdS space and boundary conformal field theory relates the thermodynamics of super-Yang–Mills theory in four dimensions to the…

### Direct test of the gauge-gravity correspondence for Matrix theory correlation functions

- Physics
- 2011

A bstractWe study correlation functions in (0 + 1)-dimensional maximally supersym-metric U(N ) Yang-Mills theory, which was proposed by Banks et al. as a non-perturbative definition of 11-dimensional…

### Super Yang-Mills theories on the two-dimensional lattice with exact supersymmetry

- Physics
- 2004

We construct super Yang-Mills theories with = 2,4 supersymmetries on the two-dimensional square lattice keeping one or two supercharges exactly. Along the same line as the previous paper [1], the…

### Exact results for Wilson loops in superconformal Chern-Simons theories with matter

- Physics
- 2010

We use localization techniques to compute the expectation values of supersymmetric Wilson loops in Chern-Simons theories with matter. We find the path-integral reduces to a non-Gaussian matrix model.…