Supersymmetric M2-branes with Englert fluxes, and the simple group PSL(2, 7)

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• 作者：Pietro Fré
• 刊名：Fortschritte der Physik
• 出版年：2016
• 出版时间：June 2016
• 年：2016
• 卷：64
• 期：6-7
• 页码：425-462
• 全文大小：914K
• ISSN：1521-3978

文摘

A new class is introduced of M2-branes solutions of d=11 supergravity that include internal fluxes obeying Englert equation in 7-dimensions. A simple criterion for the existence of Killing spinors in such backgrounds is established. Englert equation is viewed as the generalization to d=7 of Beltrami equation defined in d=3 and it is treated accordingly. All 2-brane solutions of minimal d=7 supergracity can be uplifted to d=11 and have none">N≥4 supersymmetry. It is shown that the simple group PSL(2, 7) is crystallographic in d=7 having an integral action on the A7 root lattice. By means of this point-group and of the T⁷ torus obtained quotiening none">R7 with the A7 root lattice we were able to construct new M2 branes with Englert fluxes and none">N≤4. In particular we exhibit here an none">N=1 solution depending on 4-parameters and admitting a large non abelian discrete symmetry, namely none">G21≡Z3⋉Z7⊂ PSL (2,7). The dual none">d=3 field theories have the same symmetries and have complicated non linear interactions.