Supersymmetry in Dimensions Beyond Eleven
I. Rudychev, E. Sezgin, P. Sundell
TL;DR
This paper explores extended supersymmetry algebras in higher dimensions beyond eleven, proposing new superalgebras and related superstring theories that could underpin super Yang-Mills theories in various spacetime signatures.
Contribution
It introduces novel supersymmetry algebras in dimensions greater than eleven and suggests a superstring framework in (n,n) dimensions for deriving super Yang-Mills theories.
Findings
Identification of superalgebras in (11,3) and (10,2) dimensions.
Construction of superparticle and super Yang-Mills systems in (11,3) dimensions.
Proposal of an N=(2,1) superstring in (n,n) dimensions.
Abstract
Spacetime superalgebras with 64 or less number of real supercharges, containing the type IIB Poincare superalgebra in (9,1) dimensions and the N=1 Poincare superalgebra in (10,1) are considered. The restriction D<14, and two distinct possibilities arise: The N=(1,0) superalgebra in (11,3) dimensions, and the N=(2,0) superalgebra in (10,2) dimensions. Emphasizing the former, we describe superparticle and super Yang-Mills systems in (11,3) dimensions. We also propose an N=(2,1) superstring theory in (n,n) dimensions as a possible origin of super Yang-Mills in (8+n,n) dimensions.
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