The M5-brane action revisited
TL;DR: In this article, an alternative form of the M5-brane action in which the sixdimensional world volume is subject to a covariant split into 3+3 directions by a triplet of auxiliary fields is presented.
Abstract: We construct an alternative form of the M5-brane action in which the sixdimensional worldvolume is subject to a covariant split into 3+3 directions by a triplet of auxiliary fields. We consider the relation of this action to the original form of the M5-brane action and to a Nambu-Poisson 5-brane action based on the Bagger-Lambert-Gustavsson model with the gauge symmetry of volume preserving diffeomorphisms.
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TL;DR: In this paper, the dierential Deligne cohomology underlying semistrict principal 2-bundles with connective structures is described and a twistor construction is used to derive superconformal constraint equations in six dimensions.
Abstract: We develop semistrict higher gauge theory fromrst principles. In particular, we describe the dierential Deligne cohomology underlying semistrict principal 2-bundles with connective structures. Principal 2-bundles are obtained in terms of weak 2-functors from the � Cech groupoid to weak Lie 2-groups. As is demonstrated, some of these Lie 2-groups can be dierentiated to semistrict Lie 2-algebras by a method due to � We further derive the full description of connective structures on semistrict principal 2- bundles including the non-linear gauge transformations. As an application, we use a twistor construction to derive superconformal constraint equations in six dimensions for a non- AbelianN = (2; 0) tensor multiplet taking values in a semistrict Lie 2-algebra.
60 citations
TL;DR: In this article, the relationship between nonlinear p-form electrodynamics with conformal-invariant weak-field and strong-field limits is clarified, with a focus on duality invariant (2n − 1)-form electdynamics and chiral 2n-forms in Minkowski spacetime.
Abstract: Relations between the various formulations of nonlinear p-form electrodynamics with conformal-invariant weak-field and strong-field limits are clarified, with a focus on duality invariant (2n − 1)-form electrodynamics and chiral 2n-form electrodynamics in Minkowski spacetime of dimension D = 4n and D = 4n + 2, respectively. We exhibit a new family of chiral 2-form electrodynamics in D = 6 for which these limits exhaust the possibilities for conformal invariance; the weak-field limit is related by dimensional reduction to the recently discovered ModMax generalisation of Maxwell’s equations. For n > 1 we show that the chiral ‘strong-field’ 2n-form electrodynamics is related by dimensional reduction to a new Sl(2; ℝ)-duality invariant theory of (2n − 1)-form electrodynamics.
46 citations
TL;DR: In this paper, a semistrict higher gauge theory was developed from first principles, in particular the differential Deligne cohomology underlying semiscount principal 2-bundles with connective structures.
Abstract: We develop semistrict higher gauge theory from first principles. In particular, we describe the differential Deligne cohomology underlying semistrict principal 2-bundles with connective structures. Principal 2-bundles are obtained in terms of weak 2-functors from the Cech groupoid to weak Lie 2-groups. As is demonstrated, some of these Lie 2-groups can be differentiated to semistrict Lie 2-algebras by a method due to Severa. We further derive the full description of connective structures on semistrict principal 2-bundles including the non-linear gauge transformations. As an application, we use a twistor construction to derive superconformal constraint equations in six dimensions for a non-Abelian N=(2,0) tensor multiplet taking values in a semistrict Lie 2-algebra.
39 citations
Cites background from "The M5-brane action revisited"
...Another popular approach to deriving a classical description of the (2, 0)-theory is based on a non-Abelian generalisation of the tensor hierarchy [13–17] with the closely related proposals of [18, 19]....
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TL;DR: In this paper, the authors compute the holographic entanglement entropy contribution from planar two-dimensional defects in six-dimensional superconformal field theory, holographically dual to probe M2 and M5-branes in AdS7 × S4.
Abstract: We compute the holographic entanglement entropy contribution from planar two-dimensional defects in six-dimensional $$ \mathcal{N}=\left(2,0\right) $$
superconformal field theory, holographically dual to probe M2- and M5-branes in AdS7 × S4. In particular, we test the viability of the universal contribution of the defect to entanglement entropy as a candidate C-function. We find that this coefficient is not monotonic under defect renormalization group flows triggered by the vacuum expectation value of a marginal operator. Another candidate C-function, the on-shell action inside the entanglement wedge, monotonically decreases under the flows we study.
34 citations
Cites methods from "The M5-brane action revisited"
...ious formulations of the action for an M5-brane exist, which impose the self-duality constraint in dierent ways [34{39]. The dierent formulations are believed to be equivalent, at least classically [39,40]. We will use the approach of Pasti, Sorokin and Tonin (PST) [34{36], which we nd to be the simplest for our purposes. In this approach the self-duality constraint is imposed by an additional local sy...
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TL;DR: In this article, a polynomial action for free chiral p-forms, classically equivalent to the Pasti-Sorokin-Tonin (PST) formulation, is presented.
Abstract: We construct a Lorentz and generally covariant, polynomial action for free chiral p-forms, classically equivalent to the Pasti-Sorokin-Tonin (PST) formulation. The minimal set up requires introducing an auxiliary p-form on top of the physical gauge p-form and the PST scalar. The action enjoys multiple duality symmetries, including those that exchange the roles of physical and auxiliary p-form fields. Same type of actions are available for duality-symmetric formulations, which is demonstrated on the example of electromagnetic field in four dimensions. There, the degrees of freedom of a single Maxwell field are described employing four distinct vector gauge fields and a scalar field.
32 citations
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TL;DR: In this article, a non-zero B-field is introduced for string theory and the entire string dynamics is described by a minimally coupled (supersymmetric) gauge theory on a noncommutative space, and the corrections away from this limit are discussed.
Abstract: We extend earlier ideas about the appearance of noncommutative geometry in string theory with a nonzero B-field. We identify a limit in which the entire string dynamics is described by a minimally coupled (supersymmetric) gauge theory on a noncommutative space, and discuss the corrections away from this limit. Our analysis leads us to an equivalence between ordinary gauge fields and noncommutative gauge fields, which is realized by a change of variables that can be described explicitly. This change of variables is checked by comparing the ordinary Dirac-Born-Infeld theory with its noncommutative counterpart. We obtain a new perspective on noncommutative gauge theory on a torus, its T-duality, and Morita equivalence. We also discuss the D0/D4 system, the relation to M-theory in DLCQ, and a possible noncommutative version of the six-dimensional (2,0) theory.
5,121 citations
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.
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.
1,613 citations
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.
1,449 citations
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.
Abstract: We investigate the worldvolume theory that describes $N$ coincident M2-branes ending on an M5-brane. We argue that the fields that describe the transverse spacetime coordinates take values in a nonassociative algebra. We postulate a set of supersymmetry transformations and find that they close into a novel gauge symmetry. We propose a three-dimensional $N=2$ supersymmetric action to describe the truncation of the full theory to the scalar and spinor fields, and show how a Basu-Harvey fuzzy funnel arises as the Bogomol'nyi-Prasad-Sommerfield solution to this theory.
1,111 citations
01 Jul 1995
TL;DR: In this paper, a self-dual non-critical string appears in Type IIB superstring theory at points in the moduli space where the Type IIA theory has extended gauge symmetry.
Abstract: Three subjects are considered here: a self-dual non-critical string that appears in Type IIB superstring theory at points in ${\rm K3}$ moduli space where the Type IIA theory has extended gauge symmetry; a conformal field theory singularity at such points which may signal quantum effects that persist even at weak coupling; and the rich dynamics of the real world under compactification, which may be relevant to some attempts to explain the vanishing of the cosmological constant.
736 citations