Hamiltonian derivation of dual gravitational charges
Hadi Godazgar, Mahdi Godazgar, Malcolm J. Perry
Abstract
A bstract We provide a Hamiltonian derivation of recently discovered dual BMS charges. In order to do so, we work in the first order formalism and add to the usual Palatini action, the Holst term, which does not contribute to the equations of motion. We give a method for finding the leading order integrable dual charges à la Wald-Zoupas and construct the corresponding charge algebra. We argue that in the presence of fermions, the relevant term that leads to dual charges is the topological Nieh-Yan term.
Topics & Concepts
PhysicsHamiltonian (control theory)Integrable systemFormalism (music)Mathematical physicsGravitationTopological quantum numberCovariant Hamiltonian field theoryDual (grammatical number)Charge (physics)Theoretical physicsHamiltonian formalismOrder (exchange)Central chargeClassical mechanicsLagrangianQuantum mechanicsFirst orderSuperintegrable Hamiltonian systemDual roleHamiltonian mechanicsHamiltonian systemBlack Holes and Theoretical PhysicsQuantum Mechanics and Non-Hermitian PhysicsAlgebraic structures and combinatorial models