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Related papers: Non-Abelian String of a Finite Length

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We continue the analysis started in a recent paper of the large-N two-dimensional CP(N-1) sigma model, defined on a finite space interval L with Dirichlet (or Neumann) boundary conditions. Here we focus our attention on the problem of the…

High Energy Physics - Theory · Physics 2018-01-31 Alessandro Betti , Stefano Bolognesi , Sven Bjarke Gudnason , Kenichi Konishi , Keisuke Ohashi

We continue the study of heterotic non-Abelian BPS-saturated flux tubes (strings). Previously, such solutions were obtained [1] in a particular U(2) gauge theory: N=2 supersymmetric QCD deformed by superpotential terms of a special type…

High Energy Physics - Theory · Physics 2011-08-08 P. A. Bolokhov , M. Shifman , A. Yung

We consider N =1 supersymmetric QCD with the gauge group U(N) and N_f=N quark flavors. To get rid of flat directions we add a meson superfield. The theory has no adjoint fields and, therefore, no 't Hooft-Polyakov monopoles in the…

High Energy Physics - Theory · Physics 2010-05-27 A. Gorsky , M. Shifman , A. Yung

We consider N=2 supersymmetric QCD with the U(N) gauge group (with no Fayet-Iliopoulos term) and N_f flavors of massive quarks deformed by the mass term \mu for the adjoint matter, W=\mu A^2, assuming that N\leq N_f<2N. This deformation…

High Energy Physics - Theory · Physics 2014-11-21 M. Shifman , A. Yung

We study a 3d lattice gauge theory with gauge group $\mathrm{U}(1)^{N-1}\rtimes \mathrm{S}_N$, which is obtained by gauging the $\mathrm{S}_N$ global symmetry of a pure $\mathrm{U}(1)^{N-1}$ gauge theory, and we call it the semi-Abelian…

High Energy Physics - Theory · Physics 2021-04-06 Mendel Nguyen , Yuya Tanizaki , Mithat Ünsal

We consider non-supersymmetric two-dimensional CP(N-1) model deformed by a term presenting the bosonic part of the twisted mass deformation of N=2 supersymmetric version of the model. Our deformation has a special form preserving a Z_N…

High Energy Physics - Theory · Physics 2009-11-11 A. Gorsky , M. Shifman , A. Yung

We address a number of unanswered questions in the N=(0,2)-deformed CP(N-1) model with twisted masses. In particular, we complete the program of solving CP(N-1) model with twisted masses in the large-N limit. In hep-th/0512153…

High Energy Physics - Theory · Physics 2014-01-08 P. Bolokhov , M. Shifman , A Yung

Much about the confinement and dynamical symmetry breaking in QCD might be learned from models with supersymmetry. In particular, models based on N=2 supersymmetric theories with gauge groups SU(N), SO(N) and $USp(2 N)$ and with various…

High Energy Physics - Theory · Physics 2007-05-23 Kenichi Konishi

Various dynamical regimes associated with confined monopoles in the Higgs phase of N=2 two-flavor QCD are studied. The microscopic model we deal with has the SU(2)xU(1) gauge group, with a Fayet-Iliopoulos term of the U(1) factor, and large…

High Energy Physics - Theory · Physics 2010-05-27 M. Shifman , A. Yung

We consider non-Abelian semilocal strings (vortices, or vortex-strings) arising in N=2 supersymmetric U(N) gauge theory with Nf=N+\~N matter hypermultiplets in the fundamental representation (quarks), and a Fayet-Iliopoulos term {\xi}. We…

High Energy Physics - Theory · Physics 2011-06-30 M. Shifman , W. Vinci , A. Yung

Redefining the vacuum state of a free two-fold $N=1$ covariant supersymmetric string action as the one with all the excited states of world-sheet fermions occupied, makes the theory anomaly free in (3+1)+4 dimensions. While in the $NS$…

High Energy Physics - Theory · Physics 2022-03-23 J. S. Bhattacharyya

We continue the study of heterotic non-Abelian BPS-saturated flux tubes (strings). Previously, such solutions were obtained in U(N) gauge theories: N=2 supersymmetric QCD deformed by superpotential terms \mu A^2 breaking N=2 supersymmetry…

High Energy Physics - Theory · Physics 2013-05-29 P. A. Bolokhov , M. Shifman , A. Yung

In this paper we study the noncommutative supersymmetric $CP^{(N-1)}$ model in 2+1 dimensions, where the basic field is in the fundamental representation which, differently to the adjoint representation already studied in the literature,…

High Energy Physics - Theory · Physics 2008-11-26 A. F. Ferrari , A. C. Lehum , A. J. da Silva , F. Teixeira

We investigate the possibility of large CP- violating phases in the soft breaking terms derived in superstring models. The bounds on the electric dipole moments (EDM's) of the electron and neutron are satisfied through cancellations…

High Energy Physics - Phenomenology · Physics 2008-11-26 M. Brhlik , L. Everett , G. L. Kane , J. Lykken

We investigate the behaviour of a model with two oppositely charged scalar fields. In the Bogomol'nyi limit this may be seen as the scalar sector of N=1 supersymmetric QED, and it has been shown that cosmic strings form. We examine…

High Energy Physics - Theory · Physics 2014-11-18 M. Pickles , J. Urrestilla

We show that string models with low energy supersymmetry which accommodate the fermion mass hierarchy generally give non-universal soft trilinear couplings (A-terms). In conjunction with the apparently large Cabibbo-Kobayashi-Maskawa (CKM)…

High Energy Physics - Phenomenology · Physics 2009-12-04 S. Abel , S. Khalil , O. Lebedev

We study effective dynamics of the non-supersymmetric two-dimensional $\mathbb{CP}(N-1)$ model in the large $N$ limit. This model is deformed by a mass term $m$ preserving $\mathbb{Z}_N$ symmetry of the Lagrangian. At small $m$ the theory…

High Energy Physics - Theory · Physics 2025-02-03 G. Sumbatian , E. Ievlev , A. Yung

We embed the large N Chern-Simons/topological string duality in ordinary superstrings. This corresponds to a large $N$ duality between generalized gauge systems with N=1 supersymmetry in 4 dimensions and superstrings propagating on…

High Energy Physics - Theory · Physics 2015-06-25 Cumrun Vafa

We consider a benchmark bulk theory in four-dimensions: N=2 supersymmetric QCD with the gauge group U(N) and N_f flavors of fundamental matter hypermultiplets (quarks). The nature of the BPS strings in this benchmark theory crucially…

High Energy Physics - Theory · Physics 2010-05-27 M. Shifman , A. Yung

The CP(N-1) \sigma\ model on finite interval of length R with Dirichlet boundary conditions is analysed in the 1/N expansion. The theory has two phases, separated by a phase transition at R ~ 1/\Lambda, \Lambda\ is dynamical scale of the…

High Energy Physics - Theory · Physics 2012-12-14 A. Milekhin