20 citations · 143 across the 23 of their papers we have counts for
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T-duality of emergent gravities on nilmanifolds
Raju Roychowdhury, Leonardo Soriani
We study the transport of generalized metrics between topological T-dual nilmanifolds through a Lie algebraic point of view. Emergent gravities are generalized metrics with symplec…
Towards a T-dual Emergent Gravity
Daniel Bermudez, Raju Roychowdhury
Emergent gravity provides a geometric realization of noncommutative U(1) gauge theory, in which gauge-field deformations of a symplectic structure are absorbed by diffeomorphisms t…
First integrals of Generalized Darboux-Halphen systems and Membrane Paradigm
Sumanto Chanda, Partha Guha, Raju Roychowdhury
The Darboux-Halphen system of equations have common or individual additive terms depending on the matrices defining Yang-Mills gauge potential fields. Tod (Phys. Lett. A 190 (1994)…
Anti Self-Dual Yang-Mills, Modified Faddeev-Jackiw Formalism and Hidden BRS Invariance
Saurabh Gupta, Raju Roychowdhury
We analyze the constraints for a system of anti self-dual Yang-Mills (ASDYM) equations by means of the modified Faddeev-Jackiw method in K and J gauges à la Yang. We also establish…
Bianchi-IX, Darboux-Halphen and Chazy-Ramanujan
Sumanto Chanda, Partha Guha, Raju Roychowdhury
Bianchi-IX four metrics are invariant solutions of vacuum Einstein equation, for which the connection-wise self-dual case describes the Euler Top, while the curvature-wise…
Taub-NUT as Bertrand spacetime with magnetic fields
Sumanto Chanda, Partha Guha, Raju Roychowdhury
Based on symmetries Taub-NUT shares with Bertrand spacetime, we cast it as the latter with magnetic fields. Its nature as a Bianchi-IX gravitational instanton and other related geo…