AdS/NRCFT for the (super) Calogero model

TL;DR

This paper establishes a novel holographic correspondence between the non-relativistic Calogero model and a deformed AdS gravity background, extending to supersymmetric cases, offering new insights into non-relativistic holography.

Contribution

It introduces a new AdS/NRCFT duality framework for the Calogero model, including its supersymmetric extension, linking quantum many-body systems to classical gravity.

Findings

Proposes a gravity dual for the Calogero model in d dimensions.

Extends the duality to supersymmetric Calogero models.

Provides a geometric interpretation of the Calogero system via deformed AdS backgrounds.

Abstract

We propose a correspondence between the non-relativistic quantum Calogero model in d spatial dimensions and classical gravity theory in a deformed AdS_{d+3} background for single particle and AdS_{Nd+3} for N-particles. Later we extend our construction to the superspace for a super Calogero model.