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In these lectures, we review the D=11 supermembrane and supersymmetric matrix models at an introductory level. We also discuss some more recent developments in connection with non-perturbative string theory.

High Energy Physics - Theory · Physics 2007-05-23 Hermann Nicolai , Robert Helling

We introduce a bosonic ambitwistor string theory in AdS space. Even though the theory is anomalous at the quantum level, one can nevertheless use it in the classical limit to derive a novel formula for correlation functions of boundary CFT…

High Energy Physics - Theory · Physics 2020-12-30 Lorenz Eberhardt , Shota Komatsu , Sebastian Mizera

The spectral problem of four-dimensional superconformal quiver gauge theories can be mapped to one-dimensional spin chains with restricted Hilbert spaces, where the composition of neighbouring spins follows the path algebra of the quiver.…

High Energy Physics - Theory · Physics 2026-02-26 Jarryd Bath , Konstantinos Zoubos

Certain limits of the duality between M-theory on ${T^5/Z_2}$ and IIB on K3 are analyzed in Matrix theory. The correspondence between M-theory five-branes and ALE backgrounds is realized as three dimensional mirror symmetry. Non-critical…

High Energy Physics - Theory · Physics 2010-11-19 Duiliu-Emanuel Diaconescu , Jaume Gomis

Using geometric engineering in the context of type II strings, we obtain exact solutions for the moduli space of the Coulomb branch of all N=2 gauge theories in four dimensions involving products of SU gauge groups with arbitrary number of…

High Energy Physics - Theory · Physics 2008-11-26 S. Katz , P. Mayr , C. Vafa

Using M(atrix) Theory, the dualities of toroidally compactified M-theory can be formulated as properties of super Yang Mills theories in various dimensions. We consider the cases of compactification on one, two, three, four and five…

High Energy Physics - Theory · Physics 2009-10-07 W. Fischler , E. Halyo , A. Rajaraman , L. Susskind

6d superconformal field theories (SCFTs) are the SCFTs in the highest possible dimension. They can be geometrically engineered in F-theory by compactifying on non-compact elliptic Calabi-Yau manifolds. In this paper we focus on the class of…

High Energy Physics - Theory · Physics 2018-10-09 Babak Haghighat , Wenbin Yan , Shing-Tung Yau

The string, MSSM GUT, weak and QCD scales, and the Rydberg constant, correspond to the positions of AdS domain wall intersections in a two-dimensional extra space of infinite extent. The domain walls lie along and parallel to the sides of…

General Physics · Physics 2009-04-07 B. F. Riley

Quantization of two-dimensional Yang-Mills theory on a torus in the gauge where the field strength is diagonal leads to twisted sectors that are completely analogous to the ones that originate long string states in Matrix String Theory. If…

High Energy Physics - Theory · Physics 2009-10-31 M. Billo' , M. Caselle , A. D'Adda , P. Provero

It has been conjectured that Little String Theories in six dimensions are holographic to critical string theory in a linear dilaton background. We test this conjecture for theories arising on the worldvolume of heterotic fivebranes. We…

High Energy Physics - Theory · Physics 2009-10-31 Martin Gremm , Anton Kapustin

We present a new class of ${\cal N}=4$ supersymmetric quiver matrix models and argue that it describes the stringy low-energy dynamics of internally wrapped D-branes in four-dimensional anti-de Sitter (AdS) flux compactifications. The…

High Energy Physics - Theory · Physics 2016-01-26 Curtis T. Asplund , Frederik Denef , Eric Dzienkowski

We investigate general observables of the complex Liouville string with worldsheet boundaries. We develop a universal formalism that reduces such observables to ordinary closed string amplitudes without boundaries, applicable to any…

High Energy Physics - Theory · Physics 2025-08-13 Scott Collier , Lorenz Eberhardt , Beatrix Mühlmann , Victor A. Rodriguez

It is generally accepted that the double-scaled 1D matrix model is equivalent to the $c=1$ string theory with tachyon condensation. There remain however puzzles that are to be clarified in order to utilize this connection for our quest…

High Energy Physics - Theory · Physics 2007-05-23 Tamiaki Yoneya

Employing the nonabelian duality transformation, I derive the Gauge String form of certain D>=3 lattice Yang-Mills (YM_{D}) theories in the strong coupling (SC) phase. With the judicious choice of the actions, in D>=3 our construction…

High Energy Physics - Theory · Physics 2009-10-31 Andrey Yu. Dubin

The (bosonic) Virasoro minimal string, which relates worldsheet string theory to a deformation of the JT gravity matrix model, provides an interesting example of a tractable matrix/string duality. We explore its $\mathcal{N} =1$…

High Energy Physics - Theory · Physics 2025-05-15 Mukund Rangamani , Jianming Zheng

We evaluate one-point correlation numbers on the torus in the Liouville theory coupled to the conformal matter M(2,2p+1). We find agreement with the recent results obtained in the matrix model approach.

High Energy Physics - Theory · Physics 2011-03-21 V. Belavin

We construct a new gauge theory on a pair of d-dimensional noncommutative tori. The latter comes from an intimate relationship between the noncommutative geometry associated with a lattice vertex operator algebra A and the noncommutative…

High Energy Physics - Theory · Physics 2009-10-31 G. Landi , F. Lizzi , R. J. Szabo

The present Letter derives multispin nonrelativistic magnon spectrum considering various near BPS corners within $ SU(1,2|3) $ Spin-Matrix theory (SMT) limit of strings on $ AdS_5 \times S^5 $. In particular, we focus on some typical…

High Energy Physics - Theory · Physics 2021-05-26 Dibakar Roychowdhury

We propose that type 0B string theory in two dimensions admits a dual description in terms of a one dimensional bosonic matrix model of a hermitian matrix. The potential in the matrix model is symmetric with respect to the parity-like Z_2…

High Energy Physics - Theory · Physics 2016-09-06 Tadashi Takayanagi , Nicolaos Toumbas

Little string theories (LSTs) are UV complete non-local 6D theories decoupled from gravity in which there is an intrinsic string scale. In this paper we present a systematic approach to the construction of supersymmetric LSTs via the…

High Energy Physics - Theory · Physics 2019-06-03 Lakshya Bhardwaj , Michele Del Zotto , Jonathan J. Heckman , David R. Morrison , Tom Rudelius , Cumrun Vafa
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