Abstract
Remarkable simplification arises from considering vortex equations in the large winding limit. This was recently used [1] to display all sorts of vortex zeromodes, the orientational, translational, fermionic as well as semi-local, and to relate them to the apparently distinct phenomena of the Nielsen-Olesen-Ambjorn magnetic instabilities. Here we extend these analyses to more general types of BPS nonAbelian vortices, taking as a prototype a system with gauged U0(1) × SUℓ(N ) × SU r (N ) symmetry where the VEV of charged scalar fields in the bifundamental representation breaks the symmetry to SU(N )ℓ+r . The presence of the massless SU(N )ℓ+r gauge fields in 4D bulk introduces all sorts of non-local, topological phenomena such as the nonAbelian Aharonov-Bohm effects, which in the theory with global SU r (N ) group (g r = 0) are washed away by the strongly fluctuating orientational zeromodes in the worldsheet. Physics changes qualitatively at the moment the right gauge coupling constant gr is turned on.
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References
S. Bolognesi, C. Chatterjee, S.B. Gudnason and K. Konishi, Vortex zero modes, large flux limit and Ambjørn-Nielsen-Olesen magnetic instabilities, JHEP 10 (2014) 101 [arXiv:1408.1572] [INSPIRE].
S. Bolognesi, Domain walls and flux tubes, Nucl. Phys. B 730 (2005) 127 [hep-th/0507273] [INSPIRE].
S. Bolognesi, Large-N , Z(N ) strings and bag models, Nucl. Phys. B 730 (2005) 150 [hep-th/0507286] [INSPIRE].
S. Bolognesi and S.B. Gudnason, Multi-vortices are wall vortices: a numerical proof, Nucl. Phys. B 741 (2006) 1 [hep-th/0512132] [INSPIRE].
R. Auzzi, S. Bolognesi, J. Evslin, K. Konishi and A. Yung, NonAbelian superconductors: vortices and confinement in N = 2 SQCD, Nucl. Phys. B 673 (2003) 187 [hep-th/0307287] [INSPIRE].
A. Hanany and D. Tong, Vortices, instantons and branes, JHEP 07 (2003) 037 [hep-th/0306150] [INSPIRE].
M. Shifman and A. Yung, NonAbelian string junctions as confined monopoles, Phys. Rev. D 70 (2004) 045004 [hep-th/0403149] [INSPIRE].
N.K. Nielsen and P. Olesen, An unstable Yang-Mills field mode, Nucl. Phys. B 144 (1978) 376 [INSPIRE].
J. Ambjørn and P. Olesen, On electroweak magnetism, Nucl. Phys. B 315 (1989) 606 [INSPIRE].
J. Ambjørn and P. Olesen, A condensate solution of the electroweak theory which interpolates between the broken and the symmetric phase, Nucl. Phys. B 330 (1990) 193 [INSPIRE].
N.S. Manton and N.A. Rink, Vortices on hyperbolic surfaces, J. Phys. A 43 (2010) 434024 [arXiv:0912.2058] [INSPIRE].
P. Sutcliffe, Hyperbolic vortices with large magnetic flux, Phys. Rev. D 85 (2012) 125015 [arXiv:1204.0400] [INSPIRE].
M. Eto, T. Fujimori, M. Nitta and K. Ohashi, All exact solutions of non-abelian vortices from Yang-Mills instantons, JHEP 07 (2013) 034 [arXiv:1207.5143] [INSPIRE].
M.G. Alford, K. Benson, S.R. Coleman, J. March-Russell and F. Wilczek, Zero modes of nonabelian vortices, Nucl. Phys. B 349 (1991) 414 [INSPIRE].
M.G. Alford, K. Benson, S.R. Coleman, J. March-Russell and F. Wilczek, The interactions and excitations of nonabelian vortices, Phys. Rev. Lett. 64 (1990) 1632 [Erratum ibid. 65 (1990) 668] [INSPIRE].
M.G. Alford, K.-M. Lee, J. March-Russell and J. Preskill, Quantum field theory of nonAbelian strings and vortices, Nucl. Phys. B 384 (1992) 251 [hep-th/9112038] [INSPIRE].
H.-K. Lo and J. Preskill, NonAbelian vortices and nonAbelian statistics, Phys. Rev. D 48 (1993) 4821 [hep-th/9306006] [INSPIRE].
K. Konishi, M. Nitta and W. Vinci, Supersymmetry breaking on gauged non-Abelian vortices, JHEP 09 (2012) 014 [arXiv:1206.4546] [INSPIRE].
F. Canfora and G. Tallarita, Constraining monopoles by topology: an autonomous system, JHEP 09 (2014) 136 [arXiv:1407.0609] [INSPIRE].
F. Canfora and G. Tallarita, SU(N) BPS monopoles in \( {\mathrm{\mathcal{M}}}^2\times {S}^2 \), arXiv:1502.02957 [INSPIRE].
M. Bucher and A. Goldhaber, SO(10) cosmic strings and SU(3)-color Cheshire charge, Phys. Rev. D 49 (1994) 4167 [hep-ph/9310262] [INSPIRE].
J. Evslin, K. Konishi, M. Nitta, K. Ohashi and W. Vinci, Non-Abelian vortices with an Aharonov-Bohm effect, JHEP 01 (2014) 086 [arXiv:1310.1224] [INSPIRE].
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ArXiv ePrint: 1503.00517
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Bolognesi, S., Chatterjee, C. & Konishi, K. NonAbelian vortices, large winding limits and Aharonov-Bohm effects. J. High Energ. Phys. 2015, 143 (2015). https://doi.org/10.1007/JHEP04(2015)143
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DOI: https://doi.org/10.1007/JHEP04(2015)143