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The low-energy dynamics of five-dimensional Yang-Mills theories compactified on S^1 can be described by a four-dimensional gauge theory coupled to a scalar field in the adjoint representation of the gauge group. Perturbative calculations…

High Energy Physics - Lattice · Physics 2012-08-10 Luigi Del Debbio , Alistair Hart , Enrico Rinaldi

Inspired by the ideas from topological field theory it is possible to rewrite the supersymmetric charges of certain classes of extended supersymmetric Yang--Mills (SYM) theories in such a way that they are compatible with the discretization…

High Energy Physics - Lattice · Physics 2011-12-30 Anosh Joseph

We construct supersymmetric theories on the SU(3)xU(1) symmetric squashed five-sphere with 2, 4, 6, and 12 supercharges. We first determine the Killing equation by dimensional reduction from 6d, and use Noether procedure to construct…

High Energy Physics - Theory · Physics 2016-06-21 Yosuke Imamura

We study the S-matrix of planar $\mathcal{N}=4$ supersymmetric Yang-Mills theory when external momenta are restricted to a two-dimensional subspace of Minkowski space. We find significant simplifications and new, interesting structures for…

High Energy Physics - Theory · Physics 2015-06-15 Simon Caron-Huot , Song He

We analyze the moduli space of the low-energy limit of 3-dimensional N=3 Maxwell-Chern-Simons theories described by circular quiver diagrams, as for 4-dimensional elliptic models. We define the theories by using D3-NS5-(k,1)5-brane systems…

High Energy Physics - Theory · Physics 2009-02-01 Yosuke Imamura , Keisuke Kimura

Non-supersymmetric orbifolds of N=1 super Yang-Mills theories are conjectured to inherit properties from their supersymmetric parent. We examine this conjecture by compactifying the Z_2 orbifold theories on a spatial circle of radius R. We…

High Energy Physics - Theory · Physics 2009-11-07 David Tong

We propose a state in 5+1 super Yang-Mills theory which corresponds to the wrapped transverse five brane of M(atrix) theory on $T^5$. This state is a magnetic flux quantized in units of $1/g_6^2$ through a plane defined by one side of the…

High Energy Physics - Theory · Physics 2007-05-23 Edi Halyo

We show that the (1,0) tensor and hypermultiplet supersymmetry variations can be uplifted to loop space. Upon dimensional reduction we make contact with abelian five-dimensional super Yang-Mills, which has a nonabelian generalization that…

High Energy Physics - Theory · Physics 2024-07-23 Dongsu Bak , Andreas Gustavsson

We consider F-theory compactifications on genus-one fibered Calabi-Yau manifolds with their fibers realized as hypersurfaces in the toric varieties associated to the 16 reflexive 2D polyhedra. We present a base-independent analysis of the…

High Energy Physics - Theory · Physics 2015-06-22 Denis Klevers , Damian Kaloni Mayorga Pena , Paul-Konstantin Oehlmann , Hernan Piragua , Jonas Reuter

We explore higher-form symmetries of M- and F-theory compactified on elliptic fibrations, determined by the topology of their asymptotic boundaries. The underlying geometric structures are shown to be equivalent to known characterizations…

High Energy Physics - Theory · Physics 2022-01-05 Mirjam Cvetic , Markus Dierigl , Ling Lin , Hao Y. Zhang

We compute the mass and multiplet spectrum of M theory compactified on the product of AdS(4) spacetime by the Stiefel manifold V(5,2)=SO(5)/SO(3), and we use this information to deduce via the AdS/CFT map the primary operator content of the…

High Energy Physics - Theory · Physics 2009-10-31 A. Ceresole , G. Dall'Agata , R. D'Auria , S. Ferrara

We describe discrete symmetries of two-dimensional Yang-Mills theory with gauge group $G$ associated to outer automorphisms of $G$, and their corresponding defects. We show that the gauge theory partition function with defects can be…

High Energy Physics - Theory · Physics 2021-10-08 Lukas Müller , Richard J. Szabo , Lóránt Szegedy

We present supersymmetric Yang-Mills theories in arbitrary even dimensions with the signature (9+m,1+m) where $m=0,1,2,...$ beyond ten-dimensions up to infinity. This formulation utilizes null-vectors and is a generalization of our previous…

High Energy Physics - Theory · Physics 2009-10-30 Hitoshi Nishino

The free energy in the weak-coupling phase of two-dimensional Yang-Mills theory on a sphere for SO(N) and Sp(N) is evaluated in the 1/N expansion using the techniques of Gross and Matytsin. Many features of Yang-Mills theory are universal…

High Energy Physics - Theory · Physics 2009-10-30 M. Crescimanno , S. G. Naculich , H. J. Schnitzer

We argue that G_2 manifolds for M-theory admitting string theory Calabi-Yau duals are fibered by coassociative submanifolds. Dual theories are constructed using the moduli space of M5-brane fibers as target space. Mirror symmetry and…

High Energy Physics - Theory · Physics 2007-05-23 Sergei Gukov , Shing-Tung Yau , Eric Zaslow

Fibrations of flux backgrounds by supersymmetric cycles are investigated. For an internal six-manifold M with static SU(2) structure and mirror \hat{M}, it is argued that the product M x \hat{M} is doubly fibered by supersymmetric…

High Energy Physics - Theory · Physics 2009-06-11 Pascal Grange , Sakura Schafer-Nameki

We present variational formulations of gauge theories and Einstein--Yang-Mills equations in the spirit of Kaluza-Klein theories. For gaugetheories, only a topological fibration is assumed. For gravitation coupled with gauge fields, no…

Differential Geometry · Mathematics 2022-09-28 Frédéric Hélein

We propose a 5-dimensional definition for the physical 4D-Yang-Mills theory. The fifth dimension corresponds to the Monte-Carlo time of numerical simulations of QCD_4. The 5-dimensional theory is a well-defined topological quantum field…

High Energy Physics - Theory · Physics 2009-10-31 Laurent Baulieu , Daniel Zwanziger

Pure lattice SU(2) Yang-Mills theory in five dimensions is considered, where an extra dimension is compactified on a circle. Monte-Carlo simulations indicate that the theory possesses a continuum limit with a non-vanishing string tension if…

High Energy Physics - Phenomenology · Physics 2010-11-19 Shinji Ejiri , Jisuke Kubo , Michika Murata

We present a non-perturbative study of the phase diagram of 5d SU(2) Yang-Mills theory with one compact extra dimension on the lattice. Assuming at least a modest scale separation between the cutoff and the compactification scales leads to…

High Energy Physics - Lattice · Physics 2010-11-05 A. Kurkela , Ph. de Forcrand , M. Panero