First-order Formalism and Odd-derivative Actions
S. Deser
TL;DR
This paper discusses the challenges of applying the Palatini formalism to gauge and gravity theories that include odd-derivative order terms like Chern-Simons, highlighting obstacles in the standard approach.
Contribution
It provides a pedagogical analysis of the difficulties in formulating gauge and gravity theories with odd-derivative actions using the Palatini approach.
Findings
Identifies specific obstacles in Palatini formulations with odd-derivative terms
Clarifies the limitations of standard first-order formalisms in these theories
Offers insights into potential ways to address these challenges
Abstract
In this pedagogical note, we discuss obstacles to the usual Palatini formulations of gauge and gravity theories in presence of odd-derivative order, Chern-Simons, terms.
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