By Mokhtar Hassaine,Jorge Zanelli
This publication grew out of a collection of lecture notes on gravitational Chern–Simons (CS) theories constructed during the last decade for numerous faculties and diversified audiences together with graduate scholars and researchers.
CS theories are gauge-invariant theories which may comprise gravity constantly. they're purely outlined in unusual dimensions and signify a really detailed category of theories within the Lovelock family members. Lovelock gravitation theories are the common extensions of common 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 regular gauge theory.
Apart from the arguments of mathematical attractiveness and sweetness, the gravitational CS activities are really endowed with actual attributes that recommend the viability of a quantum interpretation. CS theories are gauge-invariant, scale-invariant and historical past 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 unheard of prestige of CS platforms makes them classically fascinating to review, and quantum routinely interesting and promising.
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Chern–Simons (Super)Gravity: 2 (100 Years of General Relativity) by Mokhtar Hassaine,Jorge Zanelli