arXiv subjects

Shruti Menon

Publications and source records attributed to Shruti Menon.

5 recordsLinked to original sources

arXiv2026

Black Flower Microstates

We investigate stationary, non-axisymmetric black hole solutions in AdS$_3$ gravity, known as black flower geometries, in the Chern-Simons formulation. Boundary conditions are specified by a collective field theory-inspired Hamiltonian with field-dependent chemical potentials and angularly inhomogeneous boundary data. We construct a tractable class of solutions and analyze their geometric and thermodynamic properties, obtaining an entropy with nontrivial dependence on the angular deformation. Upon quantization of the boundary theory via bosonization, the boundary degrees of freedom are mapped to relativistic free fermions. We explicitly construct and count the microstates associated with a given black flower geometry and find exact agreement with the Bekenstein-Hawking entropy.

hep-th↗

arXiv2025

Bosonization, BTZ Black Hole Microstates, and Logarithmic Correction to Entropy

We study three-dimensional gravity with negative cosmological constant under non-standard boundary conditions where chemical potentials are determined dynamically. Using a boundary Hamiltonian inspired by collective field theory (ColFT), the boundary dynamics reduce to those of a one-dimensional fluid on a circle, with configurations corresponding to bulk geometries such as BTZ black holes. Quantizing the system via bosonization of relativistic fermions, we obtain a microscopic description of black hole states in terms of Young diagrams, whose degeneracies match the Bekenstein-Hawking entropy. We compute the Euclidean canonical partition function and free energy for both the ColFT Hamiltonian and a relativistic free-fermion Hamiltonian. In the ColFT case, the partition function resembles that of chiral U(N) Yang-Mills theory on a torus, with N~1/(\beta G). This offers a novel way to compute quantum corrections to the partition function. The leading entropy term receives contributions from all genera, while the subleading logarithmic correction is one-loop exact, arising solely from the genus-one sector with coefficient -1/2 . This coefficient remains unchanged in the relativistic fermion case, suggesting the universality of the one-loop correction across different boundary Hamiltonians.

hep-th↗

arXiv2025

Bosonisation and BTZ Black Hole Microstates

When the boundary dynamics of $AdS_3$ gravity is governed by the collective field theory Hamiltonian proposed by Jevicki and Sakita, its asymptotic symmetry algebra becomes the centerless $U(1)$ Kac-Moody algebra. We quantize this system using the quantum bosonization of relativistic free fermions and relate these to the dynamical fields of $AdS_3$ gravity. This leads to a correspondence where different bulk configurations correspond to distinct states (particle-hole pair excitations) in the fermionic Hilbert space. This mapping allows us to construct BTZ black hole microstates, represented by Young diagrams of irreducible $U(\infty)$ representations. Notably, the logarithm of the microstate degeneracy exactly reproduces the classical entropy of the BTZ black hole.

hep-th↗

arXiv2024

Logarithmic corrections to entropy of 3D cosmological solutions from celestial dual

Recently a one-dimensional Schwarzian type theory was proposed as an effective dual theory of pure gravity in (2+1) dimensional asymptotically flat spacetimes \cite{Bhattacharjee:2023sfd}. This codimension-two `celestial' dual captures the Bekenstein-Hawking entropy of bulk flat cosmologies in semiclassical limit. In this paper, we extend this analysis beyond semiclassical approximation and evaluate the one-loop exact partition function of this celestial dual theory. Our analysis results in novel nontrivial logarithmic corrections to the area term of entropy, appearing from the one-loop path integral.

hep-th↗

arXiv2015

An Electrochemical Potentiostat Interface for Mobile Devices: Enabling Remote Medical Diagnostics

An electrochemical potentiostat interface for mobile devices has been designed and implemented. The interface consists of a potentiostat module, a microcontroller module, and a Bluetooth module. The potentiostat module performs electrochemical measurements and detects the responses from the samples. The microcontroller module controls the test and communication processes. The Bluetooth module links the system to a mobile device, where the mobile device acts as a control-console, data storage system, communication unit, and graphical plotter for the overall diagnostic processes. This interface is suitable for point-of-care and remote diagnostics, enhancing the capabilities of mobile devices in telemedicine.

physics.ins-det↗