By Mokhtar Hassaine,Jorge Zanelli
This booklet grew out of a collection of lecture notes on gravitational Chern–Simons (CS) theories constructed during the last decade for numerous colleges and diversified audiences together with graduate scholars and researchers.
CS theories are gauge-invariant theories which can contain gravity continuously. they're purely outlined in abnormal dimensions and characterize a really certain category of theories within the Lovelock family members. Lovelock gravitation theories are the ordinary 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 typical gauge theory.
Apart from the arguments of mathematical attractiveness and wonder, the gravitational CS activities are exceedingly endowed with actual attributes that recommend the viability of a quantum interpretation. CS theories are gauge-invariant, scale-invariant and history self reliant; they've got no dimensional coupling constants. All constants within the Lagrangian are fastened rational coefficients that can't be adjusted with out destroying gauge invariance. This remarkable prestige of CS structures makes them classically fascinating to review, and quantum robotically interesting and promising.
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