Gauge symmetry and supersymmetry of multiple M2-branes
Jonathan Bagger,Neil Lambert +1 more
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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.Abstract:
In previous work we proposed a field theory model for multiple M2-branes based on an algebra with a totally antisymmetric triple product. In this paper we gauge a symmetry that arises from the algebra's triple product. We then construct a supersymmetric theory with no free parameters that is consistent with all the continuous symmetries expected of a multiple M2-brane theory: 16 supersymmetries, conformal invariance, and an SO(8) R-symmetry that acts on the eight transverse scalars. The gauge field is not dynamical. The result is a new type of maximally supersymmetric gauge theory in three dimensions.read more
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Exact partition function in $U(2)\times U(2)$ ABJM theory deformed by mass and Fayet-Iliopoulos terms
TL;DR: In this paper, the partition function for ABJM theory with mass $m$ and Fayet-Iliopoulos parameter $zeta$ was exactly computed for the general case.
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Towards the Quantum Geometry of the M5-brane in a Constant C-Field from Multiple Membranes
Chong-Sun Chu,Douglas J. Smith +1 more
TL;DR: In this paper, it was shown that the B-field modified Nahm equation can also be interpreted as a boundary condition of the F1-strings ending on the D3-brane.
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An M5-Brane Model
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A N = 8 action for multiple M2-branes with an arbitrary number of colors
TL;DR: In this article, a U(M) action for supermembranes with central charges in the Light Cone Gauge (LCG) was obtained and a star-product determined by the central charge condition was introduced to ensure the invariance under the symmetries and to close the corresponding algebra.
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Zero-form and one-form symmetries of the ABJ and related theories
TL;DR: The zero-form and one-form global symmetries of the Aharony-Bergman-Jafferis (ABJ) and related theories, with at least Ω(n) = 6$ supersymmetry in three dimensions, are examined in detail in this article .
References
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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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Superconformal Chern-Simons theories
TL;DR: In this paper, a Lagrangian description of a maximally supersymmetric conformal field theory in three dimensions was constructed recently by Bagger and Lambert (BL), which has SO(4) gauge symmetry and contains scalar and spinor fields that transform as 4-vectors.
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N = 8 Superconformal Chern--Simons Theories
TL;DR: In this paper, the possibilities for constructing Lagrangian descriptions of three-dimensional superconformal classical gauge theories that contain a Chern-Simons term, but no kinetic term, for the gauge fields are explored.