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A Nonabelian Particle-Vortex Duality · Around

2015

A Nonabelian Particle-Vortex Duality

Murugan, Jeff, Nastase, Horatiu

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We define a nonabelian particle-vortex duality as a $3-$dimensional analogue of the usual $2-$dimensional worldsheet nonabelian T-duality.

The transformation is defined in the presence of a global $SU(2)$ symmetry and, although derived from a string theoretic setting, we formulate it generally.
We then apply it to so-called "semilocal strings" in an $SU(2)_{G}\times U(1)_{L}$ gauge theory, originally discovered in the context of cosmic string physics.

Built on

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Similar

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X. C. de la Ossa and F. Quevedo, Nucl. Phys. B 403
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N. Seiberg and E. Witten, “Electric-magnetic duality, monopole condensation, and confinement in N=2 supersymmetric Yang-Mills theory,” Nucl. Phys. B 426
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N. Seiberg and E. Witten, “Monopoles, duality and chiral symmetry breaking in N=2 supersymmetric QCD,” Nucl. Phys. B 431
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C. P. Burgess and B. P. Dolan, Phys. Rev. B 65
2002
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Then

O. Aharony, O. Bergman, D. L. Jafferis and J. Maldacena, “N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals,” JHEP 0810
Original
2008
Later among the works it cites.
K. Sfetsos and D. C. Thompson, “On non-abelian T-dual geometries with Ramond fluxes,” Nucl. Phys. B 846
Original
2011
Later among the works it cites.
G. Itsios, C. Nunez, K. Sfetsos and D. C. Thompson, “Non-Abelian T-duality and the AdS/CFT correspondence:new N=1 backgrounds,” Nucl. Phys. B 873
Original
2013
Later among the works it cites.
J. Murugan, H. Nastase, N. Rughoonauth and J. P. Shock, “Particle-vortex and Maxwell duality in the A d S 4 × ℂ ℙ 3 AdS_{4}\times\mathbb{CP}^{3} /ABJM correspondence,” JHEP 1410
Original
2014
Later among the works it cites.
Ö. Kelekci, Y. Lozano, N. T. Macpherson and E. Ó. Colgáin, “Supersymmetry and non-Abelian T-duality in type II supergravity,” Class. Quant. Grav. 32

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2015

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