Existence Theorems for Vortices in the Aharony–Bergman–Jaferis–Maldacena Model

Author:

Han Xiaosen,Yang Yisong

Publisher

Springer Science and Business Media LLC

Subject

Mathematical Physics,Statistical and Nonlinear Physics

Reference57 articles.

1. Abrikosov, A.A.: On the magnetic properties of superconductors of the second group. Sov. Phys. JETP 5, 1174–1182 (1957)

2. Aharony, O., Bergman, O., Jaferis, D.L., Maldacena, J.: $${\mathcal{N} = 6}$$ N = 6 superconformal Chern–Simons-matter theories, M2-branes and their gravity duals. J. High Energy Phys. 0810, 091 (2008)

3. Aubin, T.: Nonlinear Analysis on Manifolds: Monge–Ampére Equations. Springer, Berlin (1982)

4. Auzzi, R., Kumar, S.P.: Non-Abelian vortices at weak and strong coupling in mass deformed ABJM theory. J. High Energy Phys. 071, 0910 (2009)

5. Bagger, J., Lambert, N.: Modeling multiple M2’s. Phys. Rev. D 75, 045020 (2007)

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1. Non-topological Vortex Configurations in the ABJM Model;Communications in Mathematical Physics;2017-01-02

2. Resolution of Chern–Simons–Higgs Vortex Equations;Communications in Mathematical Physics;2016-01-29

3. Existence theorems for non-Abelian Chern–Simons–Higgs vortices with flavor;Journal of Differential Equations;2015-09

4. Vortex equations governing the fractional quantum Hall effect;Journal of Mathematical Physics;2015-09

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