We investigate mixed state entanglement measures of negativity and reflected entropy for bipartite states in two dimensional conformal field theories with an anomaly through appropriate replica techniques. Furthermore we propose holographic constructions these from the corresponding bulk dual geometries involving topologically massive gravity AdS$_3$ find exact agreement theory results. In this...

We examine the Kerr/CFT correspondence in Einstein gravity extended with quadratic curvature invariants. consider two explicit examples four and five dimensions compute central charges of asymptotic symmetry algebras near horizon geometries, using improved version BBC formalism that encompasses information Lagrangian. find resulting Cardy entropy differs from Wald entropy, caused by Riemann-squ...

In this talk we present the latest results from our ongoing project on geometrothermodynamics (also known as information geometry of thermodynamics or Ruppeiner geometry) of dilaton BHs in 4D in both Einstein and string frames and a dyonic dilaton BH and at the end we report very briefly results from this approach to the 2D dilaton BHs. The thermodynamic geometry, also known as Ruppeiner geomet...

entropy generation in an unsteady hydromagnetic couette flow of a viscous incompressible electrically conducting fluid between two infinite horizontal parallel plates in a rotating system have been analyzed. both the lower and upper plates of the channel are subjected to asymmetric convective heat exchange with the ambient following the newton's law of cooling. a numerical solution for governin...

We investigate mixed state entanglement measures of negativity and reflected entropy for bipartite states in two dimensional conformal field theories with an anomaly through appropriate replica techniques. Furthermore we propose holographic constructions these from the corresponding bulk dual geometries involving topologically massive gravity ${\mathrm{AdS}}_{3}$ find exact agreement theory res...

We provide a realization of the AdS 2 /CFT 1 correspondence in terms of asymptotic symmetries of the AdS 2 ×S 1 and AdS 2 ×S 2 geometries arising in near-extremal BTZ and Reissner-Nordström black holes. Cardy's formula exactly accounts for the deviation of the Bekenstein-Hawking entropy from extremality. We also argue that this result can be extended to more general black holes near extremality.

The present study discusses several approaches of representing curve boundaries with high-order Euler solvers. The aim is to minimize the solution entropy error. The traditional boundary representation based on interpolation polynomials is presented first. A new boundary representation based on the Bezier curve is then developed and analyzed. Several numerical tests are conducted to compare bot...

In this paper we apply to a class of static and time-independent geometries the recently developed formalism of deformed algebras of quantum fields in curved backgrounds. In particular, we derive: i) some non-trivial features of the entanglement of the quantum vacuum, such as the robustness against interaction with the environment; ii) the thermal properties and the entropy of black holes for s...

With an aim towards understanding the time-dependence of entanglement entropy in generic quantum field theories, we propose a covariant generalization of the holographic entanglement entropy proposal of hep-th/0603001. Apart from providing several examples of possible covariant generalizations, we study a particular construction based on light-sheets, motivated in similar spirit to the covarian...

With an aim towards understanding the time-dependence of entanglement entropy in generic quantum field theories, we propose a covariant generalization of the holographic entanglement entropy proposal of hep-th/0603001. Apart from providing several examples of possible covariant generalizations, we study a particular construction based on light-sheets, motivated in similar spirit to the covarian...