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A self-contained review is given of the matrix model of M-theory. The introductory part of the review is intended to be accessible to the general reader. M-theory is an eleven-dimensional quantum theory of gravity which is believed to…

High Energy Physics - Theory · Physics 2008-11-26 Washington Taylor

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 an appropriate limit of parameters. Furthermore,…

High Energy Physics - Theory · Physics 2021-07-23 Hrant Gharibyan , Masanori Hanada , Masazumi Honda , Junyu Liu

We propose a non-lattice simulation for studying supersymmetric matrix quantum mechanics in a non-perturbative manner. In particular, our method enables us to put M theory on a computer based on its matrix formulation proposed by Banks,…

High Energy Physics - Lattice · Physics 2014-11-18 Jun Nishimura , Konstantinos N. Anagnostopoulos , Masanori Hanada , Shingo Takeuchi

We describe a new and consistent perturbation theory for solid-state quantum computation with many qubits. The errors in the implementation of simple quantum logic operations caused by non-resonant transitions are estimated. We verify our…

Quantum Physics · Physics 2009-11-07 G. P. Berman , G. D. Doolen , D. I. Kamenev , V. I. Tsifrinovich

Quantum computers promise to efficiently solve important problems that are intractable on a conventional computer. Quantum computational algorithms have the potential to be an exciting new way of studying quantum cosmology. In quantum…

Quantum Physics · Physics 2019-12-03 Anirban Ganguly , Bikash K. Behera , Prasanta K. Panigrahi

We suggest and motivate a precise equivalence between uncompactified eleven dimensional M-theory and the N = infinity limit of the supersymmetric matrix quantum mechanics describing D0-branes. The evidence for the conjecture consists of…

High Energy Physics - Theory · Physics 2009-07-09 T. Banks , W. Fischler , S. H. Shenker , L. Susskind

The light-like linear dilaton background represents a particularly simple time-dependent 1/2 BPS solution of critical type IIA superstring theory in ten dimensions. Its lift to M-theory, as well as its Einstein frame metric, are singular in…

High Energy Physics - Theory · Physics 2009-11-11 Ben Craps , Savdeep Sethi , Erik Verlinde

One of the simplest time-dependent solutions of M theory consists of nine-dimensional Euclidean space times 1+1-dimensional compactified Milne space-time. With a further modding out by Z_2, the space-time represents two orbifold planes…

High Energy Physics - Theory · Physics 2008-11-26 Gustavo Niz , Neil Turok

In this review article, we first discuss a possible regularization of the big bang curvature singularity of the standard Friedmann cosmology, where the curvature singularity is replaced by a spacetime defect. We then consider the hypothesis…

High Energy Physics - Theory · Physics 2021-07-26 F. R. Klinkhamer

We present a study of M(atrix) theory from a purely canonical viewpoint. In particular, we identify free particle asymptotic states of the model corresponding to the supergraviton multiplet of eleven dimensional supergravity. These states…

High Energy Physics - Theory · Physics 2009-10-30 Jan Plefka , Andrew Waldron

String theory is the most promising candidate for the theory unifying all interactions including gravity. It has an extremely difficult dynamics. Therefore, it is useful to study some its simplifications. One of them is non-critical string…

High Energy Physics - Theory · Physics 2007-05-23 Sergei Alexandrov

It is shown that the matrix models which give non-perturbative definitions of string and M theory may be interpreted as non-local hidden variables theories in which the quantum observables are the eigenvalues of the matrices while their…

High Energy Physics - Theory · Physics 2009-11-07 Lee Smolin

Recently Quantum Computation has generated a lot of interest due to the discovery of a quantum algorithm which can factor large numbers in polynomial time. The usefulness of a quantum com puter is limited by the effect of errors. Simulation…

Quantum Physics · Physics 2007-05-23 Kevin M. Obenland , Alvin M. Despain

We propose a set of equations as a simple model for non singular evolutions of a $10 + 1$ dimensional M theory universe. Our model uses ideas from Loop Quantum Cosmology and offers a solution to the important problem of singularity…

High Energy Physics - Theory · Physics 2020-02-25 Saroj Prasad Chhatoi , S. Kalyana Rama

At the macrosopic level we study candidate 3D effective field theories associated to M theory in three dimensions. These represent analogs of 11D supergravity for eleven dimensional M-theory. At the microscopic level we study various world…

High Energy Physics - Theory · Physics 2007-05-23 Michael McGuigan

In discussing the construction of a consistent theory of quantum gravity unified with the gauge interactions we are naturally led to a string theory. We review its properties and the five consistent supersymmetric string theories in ten…

High Energy Physics - Theory · Physics 2009-10-30 Paolo Di Vecchia

Multi-cut two-matrix models are studied in the Z_k symmetry breaking k-cut (\hat p,\hat q) critical points which should correspond to (\hat p,\hat q) minimal k-fractional superstring theory. FZZT-brane or macroscopic loop amplitudes are…

High Energy Physics - Theory · Physics 2014-11-20 Chuan-Tsung Chan , Hirotaka Irie , Chi-Hsien Yeh

An overview is given of the way in which the unification program of particle physics has evolved into the proposal of superstring theory as a prime candidate for unifying quantum gravity with the other forces and particles of nature. A key…

High Energy Physics - Theory · Physics 2015-06-04 K. S. Stelle

We present four infinite series of new quantum theories with super-Poincare symmetry in six dimensions, which are not local quantum field theories. They have string like excitations but the string coupling is of order one. Compactifying…

High Energy Physics - Theory · Physics 2009-09-15 Nathan Seiberg

Recently developed strong-coupling theory open up the possibility of treating quantum-mechanical systems with hard-wall potentials via perturbation theory. To test the power of this theory we study here the exactly solvable quantum…

Condensed Matter · Physics 2009-10-31 H. Kleinert , A. Chervyakov , B. Hamprecht
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