2016/01/28 by Pietro Fré, Pietro Fre · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Epistemology #Group (periodic table) #Mathematics #Mathematics education #Nonlinear Waves and Solitons #PSL #Philosophy #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Simple (philosophy) #hep-th #math-ph #math.MP
paper · pdf · doi:10.1002/prop.201600007
59 pages, two figures. Original Research Article. Few misprints corrected, a pair of sentences added in the aknowledgments
arxiv created 2016/01/28 · openalex publication_date 2016/05/02 · arxiv updated 2016/11/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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 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 with the A7 root lattice we were able to construct new M2 branes with Englert fluxes and . In particular we exhibit here an solution depending on 4-parameters and admitting a large non abelian discrete symmetry, namely . The dual field theories have the same symmetries and have complicated non linear interactions.