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The $\mathcal{A}$-theory takes U-duality symmetry as a guiding principle, with the SL(5) U-duality symmetry being described as the world-volume theory of a 5-brane. Furthermore, by unifying the 6-dimensional world-volume Lorentz symmetry…

High Energy Physics - Theory · Physics 2025-07-09 Machiko Hatsuda , Ondřej Hulík , William D. Linch , Warren D. Siegel , Di Wang , Yu-Ping Wang

We present the complete integrands of five-point superamplitudes in N=4 super-Yang-Mills theory and N=8 supergravity, at one and two loops, for four-dimensional external states and D-dimensional internal kinematics. For N=4 super-Yang-Mills…

High Energy Physics - Theory · Physics 2012-01-18 John Joseph M. Carrasco , Henrik Johansson

We study five-dimensional supersymmetric field theories with one-dimensional Coulomb branch. We extend a previous analysis which led to non-trivial fixed points with $E_n$ symmetry ($E_8$, $E_7$, $E_6$, $E_5=Spin(10)$, $E_4=SU(5)$,…

High Energy Physics - Theory · Physics 2016-09-06 David R. Morrison , Nathan Seiberg

Compactifying the A_1 version of (2,0) theory on a circle gives rise to five-dimensional, maximally supersymmetric Yang-Mills theory. In the Coulomb branch, where the SU(2) gauge group is spontaneously broken to a U(1) subgroup, the degrees…

High Energy Physics - Theory · Physics 2008-11-26 Erik Flink

In this paper we construct super Yang-Mills theory in 10+2 dimensions, a number of dimensions that was not reached before in a unitary supersymmetric field theory, and show that this is the 2T-physics source of some cherished lower…

High Energy Physics - Theory · Physics 2010-08-30 Itzhak Bars , Yueh-Cheng Kuo

It is considered the 6D brane model where matter is trapped on the surface of a (2+4)-hyperboloid, as is suggested by the geometrical structure behind the 4D conformal group. The effective dimension of the bulk space-time for matter fields…

High Energy Physics - Theory · Physics 2017-04-27 Merab Gogberashvili

The uniqueness theorems for general relativity and Yang-Mills theories can be circumvented by dropping the ubiquitous, yet often implicit, assumption that physical fields, such as the spacetime metric, are fundamental. The novel concept of…

General Relativity and Quantum Cosmology · Physics 2025-07-23 Erick I. Duque

The proposal that a strong coupling limit of the five-dimensional type II string theory (M-theory compactified on a 6-torus) in which the Planck length becomes infinite could give a six-dimensional superconformal phase of M-theory is…

High Energy Physics - Theory · Physics 2009-10-31 C. M. Hull

We investigate space-time supersymmetry of the model of multiple M2-branes proposed by Bagger-Lambert and Gustavsson. When there is a central element in Lie 3-algebra, the model possesses an extra symmetry shifting the fermions in the…

High Energy Physics - Theory · Physics 2008-11-26 Kazuyuki Furuuchi , Sheng-Yu Darren Shih , Tomohisa Takimi

We examine five dimensional extreme black holes with three charges in the matrix model. We build configurations of the 5+1 super Yang-Mills theory which correspond to black holes with transverse momentum charge. We calculate their mass and…

High Energy Physics - Theory · Physics 2009-10-30 Edi Halyo

We give a one-dimensional interpretation of the four-dimensional twisted N=1 superYang-Mills theory on a Kaehler manifold by performing an appropriate dimensional reduction. We prove the existence of a 6-generator superalgebra, which does…

High Energy Physics - Theory · Physics 2012-05-01 Laurent Baulieu , Francesco Toppan

A four-dimensional analog of Chern-Simons theory produces integrable lattice models from Wilson lines and surface operators. We show that this theory describes a quasi-topological sector of maximally supersymmetric Yang-Mills theory in six…

High Energy Physics - Theory · Physics 2021-09-30 Kevin Costello , Junya Yagi

We formulate the ten-dimensional super-Yang-Mills theory in a twisted superspace with 8+1 supercharges. Its constraints do not imply the equations of motion and we solve them. As a preliminary step for a complete formulation in a twisted…

High Energy Physics - Theory · Physics 2008-11-26 Laurent Baulieu , Guillaume Bossard , Alexis Martin

We solve the superspace Bianchi identities for ten-dimensional supersymmetric Yang-Mills theory without imposing any kind of constraints apart from the standard conventional one. In this way we obtain a set of algebraic conditions on…

High Energy Physics - Theory · Physics 2010-02-03 Martin Cederwall , Bengt E. W. Nilsson , Dimitrios Tsimpis

We study 5d N=2 maximally supersymmetric Yang-Mills theory with a gauge group G on S^2 x M_3, where M_3 is a 3-manifold. By explicit localization computation we show that the path-integral of the 5d N=2 theory reduces to that of the 3d G_C…

High Energy Physics - Theory · Physics 2014-07-02 Sungjay Lee , Masahito Yamazaki

We construct new M-theory solutions of M5 branes that are a realization of the fully localized ten dimensional NS5/D6 and NS5/D5 brane intersections. These solutions are obtained by embedding self-dual geometries lifted to M-theory. We…

High Energy Physics - Theory · Physics 2009-11-10 R. Clarkson , A. M. Ghezelbash , R. B. Mann

We construct SU($N$) super Yang-Mills theories with extended supersymmetry on hypercubic lattices of various dimensions keeping one or two supercharges exactly. It is based on topological field theory formulation for the super Yang-Mills…

High Energy Physics - Lattice · Physics 2009-11-10 Fumihiko Sugino

The coupling to gravity in D=5 spacetime dimensions is considered for the particle-like and vortex-type solutions obtained by uplifting the D=4 Yang-Mills instantons and D=3 Yang-Mills-Higgs monopoles. It turns out that the particles become…

High Energy Physics - Theory · Physics 2009-11-07 Mikhail S. Volkov

We construct an eternally inflating spacelike brane world model. If the space dimension of the brane is three (SM2) or six (SM5) for M theory or four (SD3) for superstring theory, a time-dependent $n$-form field would supply a constant…

High Energy Physics - Theory · Physics 2008-11-26 Riuji Mochizuki

Certain classes of supersymmetric gauge theories, including the well known N=4 supersymmetric Yang-Mills theory, that takes part in the AdS/CFT correspondence, can be formulated on a Euclidean spacetime lattice using the techniques of exact…

High Energy Physics - Lattice · Physics 2014-10-01 Anosh Joseph