Skyrme model from 6d N=(2,0) theory

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OriginalspracheEnglisch
Seiten (von - bis)222-226
Seitenumfang5
FachzeitschriftPhysics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Jahrgang783
Frühes Online-Datum26 Juni 2018
PublikationsstatusVeröffentlicht - 10 Aug. 2018

Abstract

We consider 5d Yang–Mills theory with a compact ADE-type gauge group G on R3,1×I, where I is an interval. The maximally supersymmetric extension of this model appears after compactification on S1 of 6d N=(2,0) superconformal field theory on R3,1×S2 2, where S2 2≅I×S1 is a two-sphere with two punctures. In the low-energy limit, when the length of I becomes small, the 5d Yang–Mills theory reduces to a nonlinear sigma model on R3,1 with the Lie group G as its target space. It contains an infinite tower of interacting fields whose leading term in the infrared is the four-derivative Skyrme term. A maximally supersymmetric generalization leading to a hyper-Kähler sigma-model target space is briefly discussed.

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Skyrme model from 6d N=(2,0) theory. / Ivanova, Tatiana A.; Lechtenfeld, Olaf; Popov, Alexander D.
in: Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics, Jahrgang 783, 10.08.2018, S. 222-226.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Ivanova TA, Lechtenfeld O, Popov AD. Skyrme model from 6d N=(2,0) theory. Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics. 2018 Aug 10;783:222-226. Epub 2018 Jun 26. doi: 10.48550/arXiv.1805.07241, 10.1016/j.physletb.2018.06.052
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AU - Ivanova, Tatiana A.

AU - Lechtenfeld, Olaf

AU - Popov, Alexander D.

N1 - Funding information: This work was partially supported by the Deutsche Forschungsgemeinschaft grant LE 838/13 and by the Heisenberg–Landau program. It is based upon work from COST Action MP1405 QSPACE, supported by COST (European Cooperation in Science and Technology).

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AB - We consider 5d Yang–Mills theory with a compact ADE-type gauge group G on R3,1×I, where I is an interval. The maximally supersymmetric extension of this model appears after compactification on S1 of 6d N=(2,0) superconformal field theory on R3,1×S2 2, where S2 2≅I×S1 is a two-sphere with two punctures. In the low-energy limit, when the length of I becomes small, the 5d Yang–Mills theory reduces to a nonlinear sigma model on R3,1 with the Lie group G as its target space. It contains an infinite tower of interacting fields whose leading term in the infrared is the four-derivative Skyrme term. A maximally supersymmetric generalization leading to a hyper-Kähler sigma-model target space is briefly discussed.

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JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

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