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The crossover transition from weak coupling at large \xi to strong coupling at small \xi is studied in N=2 supersymmetric gauge theory with the U(N) gauge group and N_f>N (here \xi is the Fayet--Iliopoulos parameter). We find that at strong…

高能物理 - 理论 · 物理学 2015-05-14 M. Shifman , A. Yung

Nowadays it is experimentally feasible to create artificial, and in particular, non-Abelian gauge potentials for ultracold atoms trapped in optical lattices. Motivated by this fact, we investigate the fundamental properties of an ultracold…

介观与纳米尺度物理 · 物理学 2009-04-28 N. Goldman , A. Kubasiak , P. Gaspard , M. Lewenstein

In the case of gauge theories, which are ruled by an infinite-dimensional invariance group, various choices of antisymmetric bilinear maps on field functionals are indeed available. This paper proves first that, within this broad framework,…

高能物理 - 理论 · 物理学 2008-11-26 Giampiero Esposito , Cosimo Stornaiolo

We study if and when mod-2 anomalies can be canceled by the Green-Schwarz mechanism with the introduction of an antisymmetric tensor field $B_{\mu\nu}$. As explicit examples, we examine $SU(2)$ and more general $Sp(n)$ gauge theories in…

高能物理 - 理论 · 物理学 2025-07-16 Shota Saito , Yuji Tachikawa

Instantons on Eguchi-Hanson spaces provide explicit examples of stable bundles on non-compact four dimensional C^2/Z_n orbifold resolutions with non-Abelian structure groups. With this at hand, we can consider compactifications of ten…

高能物理 - 理论 · 物理学 2011-10-11 Stefan Groot Nibbelink , Filipe Paccetti Correia , Michele Trapletti

After pointing out the role of the compactification lattice for spectrum calculations in orbifold models, I discuss modular discrete symmetry groups for $Z_N$ or\-bi\-folds. I consider the $Z_7$ orbifold as a nontrivial example of a (2,2)…

高能物理 - 理论 · 物理学 2007-05-23 Jens Erler

We propose a simple ansatz to construct exact wave solutions of the sourceless SU(2) Yang-Mills equations in (3+1) dimensions. The ansatz employs a $y$-dependent rotated Pauli basis and assumes a phase $\theta=kz-\omega t$ dependence for…

量子物理 · 物理学 2026-05-07 Yu-Xuan Zhang , Jing-Ling Chen

A general study of non-abelian duality is presented. We first identify a possible obstruction to the conformal invariance of the dual theory for non-semisimple groups. We construct the exact non-abelian dual for any Wess-Zumino-Witten (WZW)…

高能物理 - 理论 · 物理学 2009-10-28 Enrique Álvarez , Luis Álvarez-Gaumé , Yolanda Lozano

A phenomenological analysis of the three-family local gauge group $SU(3)_c\otimes SU(3)_L\otimes U(1)_X$ with right-handed neutrinos is carried out. Instead of using the minimal scalar sector able to break the symmetry in a proper way, we…

高能物理 - 唯象学 · 物理学 2009-01-07 Diego A. Gutierrez , William A. Ponce , Luis A. Sanchez

We investigate backgrounds of Type IIB string theory with null singularities and their duals proposed in hep-th/0602107. The dual theory is a deformed N=4 Yang-Mills theory in 3+1 dimensions with couplings dependent on a light-like…

高能物理 - 理论 · 物理学 2008-11-26 Sumit R. Das , Jeremy Michelson , K. Narayan , Sandip P. Trivedi

We investigate the invertible and non-invertible symmetries of topological finite-group gauge theories in general spacetime dimensions, where the gauge group can be abelian or non-abelian. We focus in particular on the 0-form symmetry. The…

强关联电子 · 物理学 2025-01-22 Clay Cordova , Davi B. Costa , Po-Shen Hsin

We consider the conformal gauging of non-abelian groups. In such cases there are inequivalent ways of gauging (generalizing the axial and vector cases for abelian groups) corresponding to external automorphisms of the group. Different…

高能物理 - 理论 · 物理学 2009-10-28 E. Kiritsis , N. Obers

We investigate $\alpha'$ corrections of bosonic strings in the framework of double field theory. The previously introduced "doubled $\alpha'$-geometry" gives $\alpha'$-deformed gauge transformations arising in the Green-Schwarz anomaly…

高能物理 - 理论 · 物理学 2015-06-22 Olaf Hohm , Barton Zwiebach

We briefly review the essential points of our recent work in non-Abelian T-duality. In particular, we show how non-abelian T-duals can effectively describe infinitely high spin sectors of a parent theory and how to implement the…

高能物理 - 理论 · 物理学 2015-05-28 Konstadinos Sfetsos

In this paper, we investigate non-abelian extensions and inducibility of pairs of automorphisms of Lie triple systems. First, we introduce non-abelian cohomology groups and classify the non-abelian extensions in terms of non-abelian…

环与代数 · 数学 2024-06-24 Qinxiu Sun , Shuangjian Guo

We find a family of complete non-linear Kaluza-Kein reduction ansatze from type IIB supergravity to Romans' 6D $F(4)$ gauged supergravity in the bosonic sector. The reduction is over a sphere $S^2$ and a Riemann surface $\Sigma$, and…

高能物理 - 理论 · 物理学 2018-10-17 Junho Hong , James T. Liu , Daniel R. Mayerson

We discuss the geometric engineering and large n transition for an N=1 U(n) chiral gauge theory with one adjoint, one conjugate symmetric, one antisymmetric and eight fundamental chiral multiplets. Our IIB realization involves an…

高能物理 - 理论 · 物理学 2009-11-10 K. Landsteiner , C. I. Lazaroiu , Radu Tatar

In this work we classify the subalgebras satisfied by non-geometric Q-fluxes in type IIB orientifolds on T^6/(Z_2 x Z_2) with three moduli (S,T,U). We find that there are five subalgebras compatible with the symmetries, each one leading to…

高能物理 - 理论 · 物理学 2009-02-09 Anamaria Font , Adolfo Guarino , Jesus M. Moreno

We construct a bi-linear form on the periods of Calabi-Yau spaces. These are used to obtain the prepotentials around conifold singularities in type-II strings compactified on Calabi-Yau space. The explicit construction of the bi-linear…

高能物理 - 理论 · 物理学 2014-11-18 T. Masuda , H. Suzuki

Non-abelian U-duality originates from the construction of exceptional Drinfel'd algebra (EDA), which extends the constriction of the classical Drinfel'd double. This symmetry is a natural extension of Poisson--Lie T-duality and is believed…

高能物理 - 理论 · 物理学 2022-12-05 Edvard T. Musaev , Yuho Sakatani
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