Alladi Ramakrishnan Hall

Emergent Gravity and geometric T-duality

Raju Roychowdhury

University of Sao Paulo, Brazil

Darboux theorem and Moser lemma in symplectic geometry are the two
essential ingredients of emergent gravity. Generalized geometry naturally
provides the framework for such a systematic approach to non-symmetric
metric gravity and gives rise to the group of Courant automorphism $Diff(M)
\ltimes \Omega_{closed}^{2}(M)$ for the Pontryagin bundle $TM \oplus T^*M$. As
further consequences of generalized geometry and Courant algebroid structure
we found the imprints of Dirac structure in emergent gravity. The
non-degeneracy and closure of the symplectic 2-form enable us to set up a
connection between emergent gravity and Big isotropic structure of Vaisman. We
also propose a geometric T-dual of emergent gravity implemented using Gysin
sequence in the cohomology of oriented circle bundles.