By Mokhtar Hassaine,Jorge Zanelli
This publication grew out of a suite of lecture notes on gravitational Chern–Simons (CS) theories constructed during the last decade for numerous colleges and various audiences together with graduate scholars and researchers.
CS theories are gauge-invariant theories that may comprise gravity continually. they're in simple terms outlined in peculiar dimensions and characterize a really distinctive type of theories within the Lovelock kinfolk. Lovelock gravitation theories are the normal extensions of normal Relativity for dimensions more than 4 that yield second-order box equations for the metric. those theories additionally admit neighborhood supersymmetric extensions the place supersymmetry is an off-shell symmetry of the motion, as in a customary gauge theory.
Apart from the arguments of mathematical attractiveness and sweetness, the gravitational CS activities are highly endowed with actual attributes that recommend the viability of a quantum interpretation. CS theories are gauge-invariant, scale-invariant and heritage autonomous; they've got no dimensional coupling constants. All constants within the Lagrangian are fastened rational coefficients that can't be adjusted with no destroying gauge invariance. This unprecedented prestige of CS platforms makes them classically attention-grabbing to review, and quantum automatically exciting and promising.
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Chern–Simons (Super)Gravity: 2 (100 Years of General Relativity) by Mokhtar Hassaine,Jorge Zanelli