arXiv subjects

Akashdeep Roy

Publications and source records attributed to Akashdeep Roy.

3 recordsLinked to original sources

arXiv2026

The Thermodynamics of Cosmological Horizons and Their Holographic Description in de Sitter Space

We analyse the laws of thermodynamics governing the behaviour of cosmological horizons in de Sitter space and their map to a holographic description at future infinity, $\mathcal{I}^+$. In this case, the boundary can receive signals from two cosmological horizons. We find a universal form for the first law of thermodynamics, valid in general circumstances, when matter-energy crosses both horizons and impinges on the boundary. This universal form leads to a well defined notion of entropy in the holographic dual. It is specified on a co-dimension one surface of the boundary, and can be expressed as a function of two boundary charges, pressure and angular momentum, both of which are derived from the Brown-York stress tensor. Additional comments on the second law, confusing factors of $i$ which arise, and comments pertaining to JT gravity, are included towards the end.

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arXiv2025

JT Gravity in de Sitter Space and Its Extensions

We discuss and extend some aspects pertaining to the canonical quantisation of JT gravity in de Sitter space, including the problem of time and the construction of a Hilbert space. We then extend this discussion to other two dimensional models obtained by changing the dilaton potential and show that the canonical quantisation procedure can be carried out for a large class of such models. Some discussion leading towards a path integral understanding for states, other than the Hartle Hawking state, is also included here, along with comments pertaining to Holography and the entropy of de Sitter space.

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arXiv2024

Aspects of dS/CFT Holography

It has been suggested that a $dS_{d+1}$ spacetime of radius $R_{ds}$ has a holographic dual, living at future space-like infinity ${\cal I}^+$, with the bulk wave function being dual to the partition function of the boundary theory, [arXiv:astro-ph/0210603v5]. We consider some aspects of this correspondence. For under damped scalars with mass $M^2R_{ds}^2>{d^2\over4}$, belonging to the principal series, we show that for the Bunch Davies vacuum a suitable source in the boundary theory can be identified in terms of the coherent state representation of the wave function. We argue that terms in the resulting correlation functions, which are independent of the late time cut-off, satisfy the Ward identities of a conformal field theory. We also discuss other ways to identify sources, both in the under damped and the over damped case, where $M^2R_{ds}^2<{d^2\over4}$, and argue that these too can lead to correlators satisfying the Ward identities of a CFT. Some comments on the violation of reflection positivity, and the cut-off dependent terms, along with some explicit checks and sample calculations, are also included.

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