Zobrazeno 1 - 10
of 235
pro vyhledávání: '"Ray, Koushik"'
Autor:
Ray, Koushik
Consanguinity of entropy and complexity is pointed out through the example of coherent states of the $SL(2,\C)$ group. Both are obtained from the K\"ahler potential of the underlying geometry of the sphere corresponding to the Fubini-Study metric. En
Externí odkaz:
http://arxiv.org/abs/2407.13327
Autor:
Pal, Aritra, Ray, Koushik
Euclidean conformal integrals for an arbitrary number of points in any dimension are evaluated. Conformal transformations in the Euclidean space can be formulated as the Moebius group in terms of Clifford algebras. This is used to interpret conformal
Externí odkaz:
http://arxiv.org/abs/2303.17326
Categorification of scattering amplitudes for planar Feynman diagrams in scalar field theories with a polynomial potential is reported. Amplitudes for cubic theories are directly written down in terms of projectives of hearts of intermediate $t$-stru
Externí odkaz:
http://arxiv.org/abs/2112.14288
Autor:
Pal, Aritra, Ray, Koushik
We obtain analytic expressions of four-dimensional Euclidean $N$-point conformal integrals for arbitrary $N$ by solving a Lauricella-like system of differential equations derived earlier. We demonstrate their relation to the GKZ A-hypergeometric syst
Externí odkaz:
http://arxiv.org/abs/2109.09379
Autor:
Barmeier, Severin, Ray, Koushik
Publikováno v:
Physics Letters B 820 (2021) 136594
The canonical forms associated to scattering amplitudes of planar Feynman diagrams are interpreted in terms of masses of projectives, defined as the modulus of their central charges, in the hearts of certain $t$-structures of derived categories of qu
Externí odkaz:
http://arxiv.org/abs/2101.02884
Autor:
Pal, Aritra, Ray, Koushik
Correlation functions in Euclidean conformal field theories in four dimensions are expressed as representations of the conformal group $SL(2,\H)$, $\H$ being the field of quaternions, on the configuration space of points. The representations are obta
Externí odkaz:
http://arxiv.org/abs/2005.12523
Bulk reconstruction formulas similar to HKLL are obtained for de Sitter and anti-de Sitter spaces as the inverse Gel'fand Graev Radon transform. While these generalize our previous result on the Euclidean anti-de Sitter space, their validity in here
Externí odkaz:
http://arxiv.org/abs/1903.07336
Publikováno v:
Asian Journal of Medical Sciences. Feb2024, Vol. 15 Issue 2, p269-273. 5p.
Autor:
Bhowmick, Samrat, Ray, Koushik
We define Radon transform and its inverse on the two-dimensional anti-de Sitter space over local fields using a novel construction through a quadratic equation over the local field. We show that the holographic bulk reconstruction of quantum fields i
Externí odkaz:
http://arxiv.org/abs/1805.07189
A method for determining the ground state of a planar interacting many-electron system in a magnetic field perpendicular to the plane is described. The ground state wave-function is expressed as a linear combination of a set of basis functions. Given
Externí odkaz:
http://arxiv.org/abs/1708.07658