The Carrollian Kaleidoscope
Arjun Bagchi, Aritra Banerjee, Prateksh Dhivakar, Saikat Mondal, Ashish Shukla

TL;DR
This review explores the emerging field of Carrollian symmetries, their construction, and diverse applications in holography, hydrodynamics, and condensed matter physics, highlighting recent theoretical advances and practical implications.
Contribution
It provides a comprehensive overview of Carrollian and conformal Carroll field theories, their role in flat spacetime holography, and connections to hydrodynamics and condensed matter phenomena.
Findings
Carrollian symmetries are fundamental in flat spacetime holography.
Hydrodynamics in the Carroll limit relates to ultrarelativistic flows.
Connections to fractons and phase separation in condensed matter are established.
Abstract
The Carroll group arises in the vanishing speed of light limit of the Poincar\'{e} group and was initially discarded as just a mathematical curiosity. However, recent developments have proved otherwise. Carroll and conformal Carroll symmetries are now ubiquitous, appearing in diverse physical phenomena starting from condensed matter physics to quantum gravity. This review aims to provide the reader a gateway into this fast-developing field. After an introduction and setting the stage with basics of the symmetry in question, we detail the construction of Carrollian and Carrollian Conformal field theories (CCFT). We then focus on applications. By far the most popular of these applications is in the context of the construction of holography in asymptotically flat spacetimes (AFS) in terms of a co-dimension one dual CCFT. We review the early work on AFS /CCFT before delving into…
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