• Open Access

Geometry of exceptional super Yang-Mills theories

Michael Rios, Alessio Marrani, and David Chester
Phys. Rev. D 99, 046004 – Published 13 February 2019

Abstract

Some time ago, Bars found D=11+3 supersymmetry and Sezgin proposed super Yang-Mills theory (SYM) in D=11+3. Using the “magic star” projection of e8(24), we show that the geometric structure of SYM’s in 12+4 and 11+3 space-time dimensions descends to the affine symmetry of the space AdS4S8. By reducing to transverse transformations along maximal embeddings, the near-horizon geometries of the M2 brane (AdS4S7) and M5 brane (AdS7S4) of M-theory are recovered. Utilizing the recently introduced “exceptional periodicity” (EP) and exploiting the embedding of semisimple rank-3 Jordan algebras into rank-3 T-algebras of special type yields the spaces AdS4S8n and AdS8n1S5 with reduced subspaces AdS4S8n1 and AdS8n1S4, respectively. As such, EP describes the near-horizon geometries of an infinite class of novel exceptional SYM’s in (8n+3)+3 dimensions that generalize M-theory for n=1. Remarkably, the n=3 level hints at M2 and M21 branes as solutions of bosonic M-theory and gives support for Witten’s monstrous AdS/CFT construction.

  • Figure
  • Figure
  • Received 26 November 2018

DOI:https://doi.org/10.1103/PhysRevD.99.046004

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

Michael Rios*

  • Dyonica ICMQG, Los Angeles, 90032 California, USA

Alessio Marrani

  • Museo Storico della Fisica e Centro Studi e Ricerche Enrico Fermi, Via Panisperna 89A, I-00184 Roma, Italy

David Chester

  • Department of Physics and Astronomy, UCLA, Los Angeles, 90024 California, USA

  • *mrios@dyonicatech.com
  • jazzphyzz@gmail.com
  • dchester@ucla.edu

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Issue

Vol. 99, Iss. 4 — 15 February 2019

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