5 papers
Krylov Complexity: Flat bands and Carroll breaking deformations
Aritra Banerjee, Arpan Bhattacharyya, Rudranil Basu +1
Systems with flat band structures, when written in the language of Compact Localised States (CLS), have been shown to be explicitly invariant under supertranslation symmetries, mak…
The Carrollian Kaleidoscope
Arjun Bagchi, Aritra Banerjee, Prateksh Dhivakar +2
The Carroll group arises in the vanishing speed of light limit of the Poincaré group and was initially discarded as just a mathematical curiosity. However, recent developments hav…
Strings, Virasoro Sandwiches and Worldsheet Horizons
Arjun Bagchi, Aritra Banerjee, Ida M. Rasulian +1
We revisit the canonical quantization of free bosonic closed string theory and observe that the physicality of states requires vanishing of the worldsheet Virasoro algebra generato…
Flat Bands and Compact Localised States: A Carrollian roadmap
Nisa Ara, Aritra Banerjee, Rudranil Basu +1
We show how Carrollian symmetries become important in the construction of one-dimensional fermionic systems with all flat-band spectra from first principles. The key ingredient of…
Emergent Carroll symmetry at phase separation in one-dimensional lattice systems
Sourav Biswas, Ashutosh Dubey, Saikat Mondal +3
Asymptotic behavior of generic Tomonaga-Luttinger liquid in the vicinity of phase-separated regions is known to produce an instability where well-known relativistic Conformal Field…