Free Fields Equations For Space-Time Algebras With Tensorial Momentum
R. Manvelyan, R. Mkrtchyan
TL;DR
This paper constructs free field equations for space-time algebras with tensorial momentum, exploring gauge invariance and connections to Einstein's equations in higher-dimensional theories.
Contribution
It introduces new free field equations for tensorial momentum algebras, highlighting gauge invariance and links to Einstein equations in specific dimensions.
Findings
Gauge-invariant spin two equations in 2+2 and 2+4 dimensions.
Connection established between these equations and Einstein's equations.
Relevance to superstring and M-theory algebraic structures.
Abstract
Free field equations, with various spins, for space-time algebras with second-rank tensor (instead of usual vector) momentum are constructed. Similar algebras are appearing in superstring/M theories. The most attention is payed to the gauge invariance properties, particularly the spin two equations with gauge invariance are constructed for dimensions 2+2 and 2+4 and connection to Einstein equation and diffeomorphism invariance is established.
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