arXiv subjects

Sathya Guruswamy

Publications and source records attributed to Sathya Guruswamy.

2 recordsLinked to original sources

arXiv1999

Non-abelian Exclusion Statistics

We introduce the notion of `order-$k$ non-abelian exclusion statistics'. We derive the associated thermodynamic equations by employing the Thermodynamic Bethe Ansatz for specific non-diagonal scattering matrices. We make contact with results obtained by different methods and we point out connections with `fermionic sum formulas' for characters in a Conformal Field Theory. As an application, we derive thermodynamic distribution functions for quasi-holes over a class of non-abelian quantum Hall states recently proposed by Read and Rezayi.

cond-mat.stat-mech↗

arXiv1996

Relating c<0 and c>0 Conformal Field Theories

A `canonical mapping' is established between the c=-1 system of bosonic ghosts and the c=2 complex scalar theory and, a similar mapping between the c=-2 system of fermionic ghosts and the c=1 Dirac theory. The existence of this mapping is suggested by the identity of the characters of the respective theories. The respective c<0 and c>0 theories share the same space of states, whereas the spaces of conformal fields are different. Upon this mapping from their c<0 counterparts, the (c>0) complex scalar and the Dirac theories inherit hidden nonlocal sl(2) symmetries.

hep-th↗