The N3=3 → N3=4 enhancement of super Chern-Simons theories in D=3, Calabi HyperKahler metrics and M2-branes on the l (N0,1,0) conifold

JOURNAL OF GEOMETRY AND PHYSICS

卷:160

Article

Fre, P.^1,2,3  Giambrone, A.¹  Grassi, P. A.^2,3,4  Vasko, P.^1,2,3 

[1] Univ Torino, Dipartimento Fis, Via P Giuria 1, I-10125 Turin, Italy

[2] INFN, Sez Torino, Via P Giuria 1, I-10125 Turin, Italy

[3] Arnold Regge Ctr, Via P Giuria 1, I-10125 Turin, Italy

[4] Univ Piemonte Orientale, Dipartimento Sci & Innovaz Tecnol, Viale T Michel,11, I-15121 Alessandria, Italy

关键词: Gauge theories;    Supersymmetry;    HyperKhler quotient;    Chern-Simons theories;    HyperKhler geometry;   

DOI  :  10.1016/j.geomphys.2020.103962

来源: Elsevier

【 摘 要 】

Considering matter coupled supersymmetric Chern-Simons theories in three dimensions we extend the Gaiotto-Witten mechanism of supersymmetry enhancement N-3 = 3 -> N-3 = 4 from the case where the hypermultiplets span a flat HyperKahler manifold to that where they live on a curved one. We derive the precise conditions of this enhancement in terms of generalized Gaiotto-Witten identities to be satisfied by the tri-holomorphic moment maps. An infinite class of HyperKahler metrics compatible with the enhancement condition is provided by the Calabi metrics on (TPn)-P-star. In this list we find, for n = 2 the resolution of the metric cone on N-0,N-1,N-0 which is the unique homogeneous Sasaki-Einstein 7-manifold leading to an N-4 = 3 compactification of M-theory. This leads to challenging perspectives for the discovery of new relations between the enhancement mechanism in D = 3, the geometry of M2-brane solutions and also for the dual description of super Chern-Simons theories on curved HyperKahler manifolds in terms of gauged fixed supergroup Chern-Simons theories. (C) 2020 Elsevier B.V. All rights reserved.

【 授权许可】

Free