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}
}
  • M. Hanada
  • Published 18 April 2016
  • Physics
  • arXiv: High Energy Physics - Lattice
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… 

Lattice studies of supersymmetric gauge theories

  • D. Schaich
  • Physics
    The 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

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

  • D. Schaich
  • Physics
    Proceedings 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

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

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

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

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

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

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

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.

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

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

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

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

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

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

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

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

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

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.
...