Freudenthal duality (F-duality), an anti-involution of charge vectors keep the entropy and attractor solutions invariant for extremal supersymmetric black hole. In this paper, we analyze effect F-duality on a near-extremal $STU$ hole in $\mathcal{N}=2$ ungauged, four-dimensional supergravity. We consider double-extremal holes, whose are fixed terms charges throughout moduli space. It is well kn...

A new resonance version of NLS equation is found and embedded to the reactiondiffusion system, equivalent to the anti-de Sitter valued Heisenberg model, realizing a particular gauge fixing condition of the Jackiw-Teitelboim gravity. The space-time points where dispersion change the sign correspond to the event horizon, and the soliton solutions to the AdS black holes. The soliton with velocity ...

We compute the entanglement negativity for various pure and mixed state configurations in a bath coupled to an evaporating two dimensional non-extremal Jackiw-Teitelboim (JT) black hole obtained through partial reduction of three BTZ hole. Our results exactly reproduce analogues Page curve which were recently determined diagrammatic technique developed context random matrix theory.

We studied the canonical structure of 2D $F(R)$ gravity. Its equivalence with Jackiw-Teitelboim gravity is demonstrated when no matter presents. Then, due to AdS$_2$/CFT$_1$ correspondence, such equivalent Sachdev-Ye--Kitaev models. The singular $D\to 2$ limit also studied. It shown that in a correspondence not realized.

The Jackiw-Teitelboim gauge formulation of the 1+1 dimensional gravity allows us to relate different gauge fixing conditions with integrable hierarchies of evolution equations. We show that the equations for the Zweibein fields can be written as a pair of time reversed evolution equations of the reaction-diffusion type, admitting dissipative solutions. The spectral parameter for the related Lax...

We study the Galilean symmetry in a nonrelativistic model, recently advanced by Bak, Jackiw and Pi, involving the coupling of a nonabelian Chern-Simons term with matter fields. The validity of the Galilean algebra on the constraint surface is demonstrated in the gauge independent formalism. Then the reduced space formulation is discussed in the axial gauge using the symplectic method. An anomal...

Freedom from Adler-Bell-Jackiw anomalies is a primary requirement for the renormalizability of a gauge theory of chiral fermions, which forms the basis of the successful standard model of electroweak interactions and its many extensions. In this article, we explore to what extent, the assumptions behind the standard model as well as the observed quantization of electric charges of quarks and le...

Recently, we have proposed a new front-form quantization which treated both the x and the x− coordinates as front-form ’times.’ This quantization was found to preserve parity explicitly. In this paper we extend this construction to local Abelian gauge fields . We quantize this theory using a method proposed originally by Faddeev and Jackiw . We emphasize here the feature that quantizing along b...

The idea that spacetime has to be replaced by Clifford space (C-space) is explored. Quantum field theory (QFT) and string theory are generalized to C-space. It is shown how one can solve the cosmological constant problem and formulate string theory without central terms in the Virasoro algebra by exploiting the peculiar pseudo-Euclidean signature of C-space and the Jackiw definition of the vacu...