University of Khartoum

Abelian-Higgs and Vortices from ABJM: towards a string realization of AdS/CMT

Abelian-Higgs and Vortices from ABJM: towards a string realization of AdS/CMT

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Title: Abelian-Higgs and Vortices from ABJM: towards a string realization of AdS/CMT
Author: Mohammed, Asadig; Jeff Murugan; Horatiu Nastase
Abstract: We present ans atze that reduce the mass-deformed ABJM model to gauged Abelian scalar theories, using the fuzzy sphere matrices G . One such reduction gives a Toda system, for which we nd a new type of nonabelian vortex. Another gives the standard Abelian-Higgs model, thereby allowing us to embed all the usual (multi-)vortex solutions of the latter into the ABJM model. By turning o the mass deformation at the level of the reduced model, we can also continuously deform to the massive 4 theory in the massless ABJM case. In this way we can embed the Landau-Ginzburg model into the AdS/CFT correspondence as a consistent truncation of ABJM. In this context, the mass deformation parameter and a eld VEV h i act as g and gc respectively, leading to a well-motivated AdS/CMT construction from string theory. To further this particular point, we propose a simple model for the condensed matter eld theory that leads to an approximate description for the ABJM abelianization. Finally, we also nd some BPS solutions to the mass-deformed ABJM model with a spacetime interpretation as an M2-brane ending on a spherical M5-brane
URI: http://khartoumspace.uofk.edu/handle/123456789/20940
Date: 2016-05-04


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