Journal ArticleDOI
Phases of M2-brane theories
TLDR
In this article, different toric phases of 2+1 dimensional quiver gauge theories arising from M2-branes probing toric Calabi-Yau 4 folds are investigated. And the Hilbert series, R-charges, and generators of the mesonic moduli space are matched between toric phase.Abstract:
We investigate different toric phases of 2+1 dimensional quiver gauge theories arising from M2-branes probing toric Calabi-Yau 4 folds. A brane tiling for each toric phase is presented. We apply the `forward algorithm' to obtain the toric data of the mesonic moduli space of vacua and exhibit the equivalence between the vacua of different toric phases of a given singularity. The structures of the Master space, the mesonic moduli space, and the baryonic moduli space are examined in detail. We compute the Hilbert series and use them to verify the toric dualities between different phases. The Hilbert series, R-charges, and generators of the mesonic moduli space are matched between toric phases.read more
Citations
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Towards the F-Theorem: N=2 Field Theories on the Three-Sphere
TL;DR: In this paper, the free energy of Euclidean path integrals on the 3-sphere of 3-dimensional field theories with N = 2 supersymmetry was calculated using the method of localization.
Journal ArticleDOI
Towards the F-theorem: $ \mathcal{N} = 2 $ field theories on the three-sphere
TL;DR: In this paper, the free energy of the Euclidean path integrals on the three-sphere of 3-dimensional field theories is calculated using the method of localization; they reduce to certain matrix integrals that depend on the R-charges of the matter fields.
Journal ArticleDOI
The complete superconformal index for N=6 Chern–Simons theory
TL;DR: In this paper, the superconformal index for N = 6 Chern-Simons-matter theory with gauge group U ( N ) k × U (N ) − k at arbitrary allowed value of the Chern−Simons level k was calculated based on localization of the path integral for the index.
Journal ArticleDOI
Multimatrix models and tri-Sasaki Einstein spaces
TL;DR: In this article, the authors studied a class of multimatrix integrals describing supersymmetric Chern-Simons gauge theories, and they presented a simple method that allows them to evaluate the eigenvalue densities and the free energies in the large $N$ limit.
Journal ArticleDOI
Comments on 3d Seiberg-like dualities
TL;DR: In this paper, Seiberg-like dualities for Yang-Mills-Chern-Simons theories with unitary gauge groups with arbitrary numbers of matter fields in the fundamental and antifundamental representations are derived from Aharony duality by real mass deformations.
References
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Journal ArticleDOI
N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
TL;DR: In this paper, the authors constructed three dimensional Chern-Simons-matter theories with gauge groups U(N) × U(n) and SU(N), SU(2) × SU (2) which have explicit = 6 superconformal symmetry.
Journal ArticleDOI
Gauge symmetry and supersymmetry of multiple M2-branes
Jonathan Bagger,Neil Lambert +1 more
TL;DR: In this article, a supersymmetric field theory model for multiple M2-branes based on an algebra with a totally antisymmetric triple product is proposed. But the field is not dynamical.
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Algebraic structures on parallel M2-branes
TL;DR: In this article, the authors assume a certain algebraic structure for the low energy theory living on parallel M2 branes, and assume a topological degree-of-freedom field with topological degrees of freedom.
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Modeling multiple M2-branes
Jonathan Bagger,Neil Lambert +1 more
TL;DR: In this article, the authors investigate the world volume theory that describes $N$ coincident M2-branes ending on an M5-brane and show how a Basu-Harvey fuzzy funnel arises as the Bogomol'nyi-Prasad-Sommerfield solution.
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Comments on multiple M2-branes
Jonathan Bagger,Neil Lambert +1 more
TL;DR: In this paper, the authors examined several physical predictions of this model and showed that they are in agreement with expected M2-brane dynamics, including quantization of the Chern-Simons coefficient, the vacuum moduli space, a massive deformation leading to fuzzy three-sphere vacua, and a possible large n limit.