M-Brane Models and Loop Spaces
TLDR
In this article, an extension of the ADHMN construction of monopoles to M-brane models is presented, which gives a map from solutions to the Basu-Harvey equation to solutions to self-dual string equation transgressed to loop space.Abstract:
I review an extension of the ADHMN construction of monopoles to M-brane models. This extended construction gives a map from solutions to the Basu-Harvey equation to solutions to the self-dual string equation transgressed to loop space. Loop spaces appear in fact quite naturally in M-brane models. This is demonstrated by translating a recently proposed M5-brane model to loop space. Finally, I comment on some recent developments related to the loop space approach to M-brane models.read more
Citations
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Duality-symmetric actions for non-Abelian tensor fields
TL;DR: The duality-symmetric actions for a large class of six-dimensional models describing hierarchies of non-Abelian scalar, vector and tensor fields related to one another by first-order (self-)duality equations that follow from these actions were constructed in this article.
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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.
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Non-abelian self-dual string and M2-M5 branes intersection in supergravity
TL;DR: In this paper, the authors considered the non-abelian self-dual string problem for an arbitrary number of M 2-M 5 branes and constructed a solution with an arbitrary N petertodd 2 unit of selfdual charges.
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Instanton String and M-Wave in Multiple M5-Branes System
Chong-Sun Chu,Hiroshi Isono +1 more
TL;DR: In this article, the authors consider the non-abelian self-dual two-form theory arXiv:1203.4224 and find new exact solutions for the MW/M5 system with instantons in 4-dimensions and describe wave moving in null directions.
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Non-abelian Self-Dual String and M2-M5 Branes Intersection in Supergravity
TL;DR: In this paper, the authors considered the non-abelian self-dual string problem for an arbitrary number of five-branes and constructed a solution with an arbitrary $N_2$ unit of selfdual charges.
References
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Multiple membranes in M-theory
Jonathan Bagger,Neil Lambert,Neil Lambert,Neil Lambert,Sunil Mukhi,Sunil Mukhi,Constantinos Papageorgakis,Constantinos Papageorgakis +7 more
TL;DR: In this article, the authors review developments in the theory of multiple, parallel membranes in M-theory and introduce 3-algebras, leading to distinct classes of 2+1 dimensional theories with varying degrees of supersymmetry.
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n-ary algebras: a review with applications
TL;DR: In this article, the authors review the properties and applications of certain n-ary generalizations of Lie algebras in a self-contained and unified way, including the cohomology complexes that govern their central extensions and their deformations.
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Non-Abelian Tensor Multiplet Equations from Twistor Space
Christian Sämann,Martin Wolf +1 more
TL;DR: In this article, a Penrose-Ward transform was established yielding a bijection between holomorphic principal 2-bundles over a twistor space and non-Abelian self-dual tensor fields on six-dimensional flat space-time.
Conformal field theory in four and six dimensions
TL;DR: The notion of conformal field theory was introduced by Graeme Segal as mentioned in this paper, who considered conformal fields in four and six dimensions, occasionally recalling facts about two dimensions, and showed how physicists make models of quantum field theory using path integrals.
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Nahm equations and boundary conditions
TL;DR: In this article, the boundary conditions in Nahm's equations were derived by considering a system of N parallel D1-branes perpendicular to a D3-brane in type IIB string theory.
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