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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Taking off the square root of Nambu–Goto action and obtaining Filippov–Lie algebra gauge theory action
TL;DR: In this article, a modified d-dimensional Polyakov action is proposed to take off the square root of the Nambu-Goto action for a p-brane, which generalizes the Brink-Di Vecchia-Howe-Tucker, also known as the Polyakov method.
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Lie 3-Algebra and Multiple M2-branes
TL;DR: In this paper, the fundamental identity and relation with Nambu-Poisson bracket of Lie 3-algebras were studied in detail and a criterion of reducibility was presented.
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$AdS_3/CFT_2$, finite-gap equations and massless modes
Thomas Lloyd,Bogdan Stefański +1 more
TL;DR: In this paper, the authors re-examine the derivation of the $AdS_3\times M_7$ finite-gap system and find that the conditions that had previously been imposed on these integral equations in order to implement the Virasoro constraints are too strict and are in fact not required.
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Higher-form symmetries and 3-group in axion electrodynamics
TL;DR: In this paper, higher-form symmetries in a low-energy effective theory of a massless axion coupled with a photon in ( 3 + 1 ) dimensions were studied.
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On relating multiple M2 and D2-branes
TL;DR: In this paper, the authors relax the requirement of a Lagrangian formulation and explore the possibility of having structure constants satisfying the fundamental identity but which are not totally antisymmetric.
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.