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In this paper we compute the number of n degree representations of a group of order p^3 for p an odd prime and the dimensions of corresponding spaces of invariant bilinear forms over an algebraically closed field F. We explicitly discuss…

Representation Theory · Mathematics 2021-06-24 Dilchand Mahto , Jagmohan Tanti

The quantum effective action of non-minimal vector fields with Abelian or non-Abelian gauge degrees of freedom in curved spacetime is studied. The Proca or Yang-Mills fields are coupled to a local mass-like term acting in both coordinate…

High Energy Physics - Theory · Physics 2022-12-07 L. L. Salcedo

In this short article we develop recent proposals to relate Yang-Baxter sigma-models and non-abelian T-duality. We demonstrate explicitly that the holographic space-times associated to both (multi-parameter)-$\beta$-deformations and…

High Energy Physics - Theory · Physics 2017-03-08 Ben Hoare , Daniel C. Thompson

We present the most general gauge-invariant action functional for coupled 1- and 2-form gauge fields with kinetic terms in generic dimensions, i.e. dropping eventual contributions that can be added in particular space-time dimensions only…

High Energy Physics - Theory · Physics 2016-07-27 Thomas Strobl

In this letter we establish that the supersymmetric R^2 effective action for the heterotic string, obtained from the supersymmetrisation of the Lorentz Chern-Simons term, is to order $\alpha'$ equivalent modulo field redefinitions to…

High Energy Physics - Theory · Physics 2008-11-26 W. A. Chemissany , Mees de Roo , Sudhakar Panda

We study the extent to which the gauge symmetry of abelian Yang-Mills can be deformed under two conditions: first, that the deformation depend on a two-form scale. Second, that the deformation preserve supersymmetry. We show that (up to a…

High Energy Physics - Theory · Physics 2009-11-07 Sonia Paban , Savdeep Sethi , Mark Stern

We present an action for a six-dimensional superconformal field theory containing a non-abelian tensor multiplet. All of the ingredients of this action have been available in the literature. We bring these pieces together by choosing the…

High Energy Physics - Theory · Physics 2018-04-06 Christian Saemann , Lennart Schmidt

We use Morse theory of the Yang-Mills functional to compute the Betti numbers of the moduli stack of flat U(3)-bundles over a compact nonorientable surface. Our result establishes the antiperfection conjecture of Ho-Liu, and provides…

Symplectic Geometry · Mathematics 2009-06-15 Thomas Baird

We study the noncommutative U(2) monopole solution at the second order in the noncommutativity parameter \theta^{ij}. We solve the BPS equation in noncommutative super Yang-Mills theory to O(\theta^2), transform the solution to the…

High Energy Physics - Theory · Physics 2009-10-31 Seiya Goto , Hiroyuki Hata

We first reformulate and expand with several novel findings some of the basic results in the integrability of Abel equations. Next, these results are applied to Vein's Abel equation whose solutions are expressed in terms of the third order…

Classical Analysis and ODEs · Mathematics 2016-04-04 Stefan C. Mancas , Haret C Rosu

In this paper we derive the tree-level S-matrix of the effective theory of Goldstone bosons known as the non-linear sigma model (NLSM) from string theory. This novel connection relies on a recent realization of tree-level open-superstring…

High Energy Physics - Theory · Physics 2017-08-02 John Joseph M. Carrasco , Carlos R. Mafra , Oliver Schlotterer

The $\alpha'^2$ deformation of D=10 SYM is the natural generalisation of the $F^4$ term in the abelian Born-Infeld theory. It is shown that this deformation can be extended to $\alpha'^4$ in a way which is consistent with supersymmetry. The…

High Energy Physics - Theory · Physics 2014-11-20 P. S. Howe , U. Lindstrom , L. Wulff

In this work, we derive the classical effective action of bosonic string theory at order $\alpha'^{3}$ for the metric, Kalb-Ramond field, and dilaton by imposing a higher-derivative extension of the Buscher rules on the circular reduction…

High Energy Physics - Theory · Physics 2025-11-18 Mehdi Ameri , Alireza Pahlavan , Mohammad R. Garousi

We present a reformulation of SU(2) Yang-Mills theory in the maximal Abelian gauge, where the non-Abelian gauge field components are exactly integrated out at the expense of a new Abelian tensor field. The latter can be treated in a…

High Energy Physics - Theory · Physics 2009-10-30 M. Quandt , H. Reinhardt

Consider the diagonal action of the special orthogonal group on the direct sum of a finite number of copies of the standard representation--the underlying field is assumed to be algebraically closed and of characteristic not equal to two.…

Algebraic Geometry · Mathematics 2007-05-23 V. Lakshmibai , K. N. Raghavan , P. Sankaran , P. Shukla

We argue that the relevant higher gauge group for the non-abelian generalization of the self-dual string equation is the string 2-group. We then derive the corresponding equations of motion and discuss their properties. The underlying…

High Energy Physics - Theory · Physics 2020-04-10 Christian Saemann , Lennart Schmidt

Using the nonabilinization procedure, we find an integrable matrix version of the Euler top on $\mathfrak{so}_3$

Exactly Solvable and Integrable Systems · Physics 2021-01-05 V. Sokolov

We consider the heterotic string on Calabi-Yau manifolds admitting a Strominger-Yau-Zaslow fibration. Upon reducing the system in the $T^3$-directions, the Hermitian Yang-Mills conditions can then be reinterpreted as a complex flat…

High Energy Physics - Theory · Physics 2020-10-16 Bobby Samir Acharya , Alex Kinsella , Eirik Eik Svanes

We review recent works concerning deformation quantization of abelian supergroups. Indeed, we expose the construction of an induced representation of the Heisenberg supergroup and an associated pseudodifferential calculus by using…

Quantum Algebra · Mathematics 2013-07-10 Axel de Goursac

Based on our previous work on the differential geometry for the closed string double field theory, we construct a Yang-Mills action which is covariant under O(D,D) T-duality rotation and invariant under three-types of gauge transformations:…

High Energy Physics - Theory · Physics 2011-06-28 Imtak Jeon , Kanghoon Lee , Jeong-Hyuck Park
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