Comptes Rendus
Strings, gravity, and the quest for unification/Cordes, gravitation, et la quête d'unification
Field theory supertubes
[Théorie des champs des supertubes]
Comptes Rendus. Physique, Volume 6 (2005) no. 2, pp. 271-277.

Considérant des M2-branes s'intersectant en théorie M, le supertube pour la théorie de type IIA est déduite par une compactification sur S1 et un boost à la vitesse de la lumière selon la 11ème dimension. Une procédure similaire est appliquée aux instantons de Donaldson–Uhlenbeck–Yau sur C3, qui sont vus comme des intersections de membranes de la théorie supersymétrique de Yang–Mills (SYM) en D=7, donnant (pour un boost fini) un ensemble nouveau d'équations 1/4 BPS pour la théorie de SYM-Higgs en D=6, et (pour un boost infini) une généralisation des équations d'instantons dyoniques de la théorie SYM-Higgs en D=5, solutions qui sont interprétées commes des supertubes de Yang–Mills et réalisées comme des configurations de la théorie des cordes de type IIB.

Starting with intersecting M2-branes in M-theory, the IIA supertube can be found by S1 compactification followed by a boost to the speed of light in the 11th dimension. A similar procedure applied to Donaldson–Uhlenbeck–Yau instantons on C3, viewed as intersecting membranes of D=7 supersymmetric Yang–Mills (SYM) theory, yields (for finite boost) a new set of 1/4 BPS equations for D=6 SYM-Higgs theory, and (for infinite boost) a generalization of the dyonic instanton equations of D=5 SYM-Higgs theory, solutions of which are interpreted as Yang–Mills supertubes and realized as configurations of IIB string theory.

Publié le :
DOI : 10.1016/j.crhy.2004.12.012
Keywords: String theory, Supertubes, Yang–Mills theory
Mot clés : Théorie des cordes, Supertube, Théorie de Yang–Mills
Paul K. Townsend 1

1 Department of Applied Mathematics and Theoretical Physics, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom
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Paul K. Townsend. Field theory supertubes. Comptes Rendus. Physique, Volume 6 (2005) no. 2, pp. 271-277. doi : 10.1016/j.crhy.2004.12.012. https://comptes-rendus.academie-sciences.fr/physique/articles/10.1016/j.crhy.2004.12.012/

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