#### Alladi Ramakrishnan Hall

#### Topological Signatures of Symmetry Enhancing Phase Transitions

#### Soumyadeep Bhattacharya

*Systems possessing discrete symmetries can exhibit symmetry enhancing phase*

transitions alongside the usual symmetry breaking phase transitions.

In the symmetry enhanced phase, the microscopic variables fluctuate in a manner

such that a continuous symmetry emerges at macroscopic length scales.

This phenomenon has been extensively studied in the context of statistical,

quantum and gauge systems.

In this talk, I will describe the crucial role played by topological defects in driving

these kind of transitions.

The scope of this topological approach will become clear when we see

how defect manipulation induces a symmetry enhancing transition in one of

the simplest order-disorder type spin systems: the three state Potts model

on a square lattice.

Done