Seminar series
Date
Mon, 16 May 2022
Time
12:45 - 13:45
Location
L1
Speaker
Rajath RADHAKRISHNAN
Organisation
QMUL

The line operators in a 2+1D TQFT form an algebraic structure called a modular tensor category (MTC). There is a natural action of a Galois group on MTCs which maps a given TQFT to other 'Galois conjugate' TQFTs. I will describe this Galois action and give several examples of Galois conjugate TQFTs. Galois action on a unitary TQFT can result in a non-unitary TQFT. I will derive a sufficient condition under which unitarity is preserved. Finally, I will describe the invariance of 0-form and 1-form symmetries of TQFTs under Galois action.    

Please contact us for feedback and comments about this page.Last update on 09 May 2022 - 10:22.