KTH/Nordita/SU seminar in Theoretical Physics [before December 2013]

Wednesday 21 October 2009
from 11:00
to 12:00 at
FA31

Speaker :

Thomas Quella (University of Amsterdam)

Abstract :

Conformally invariant sigma-models on superspaces are two-dimensional
supersymmetric quantum field theories which play a prominent role in
a number of recent developments in mathematical physics. Apart from
their applications in string theory and condensed matter physics
(especially disordered systems) they also provide a geometric road
towards logarithmic conformal field theories. Last but not least,
they arise as critical continuum limits of certain super spin chains.
In my talk I will review recent progress on this subject, with
special emphasis on supergroups and supercosets as superspaces. It
will first be sketched how superspace sigma models arise in the
analysis of disordered systems and in string theory in the context of
the AdS/CFT correspondence and the quantization of strings on flux
backgrounds . Employing the examples of superspheres and projective
superspaces (Witten's supertwistor space being a special case) it
will then be indicated how exact spectra of anomalous critical
dimensions can be calculated as a function of some geometric modulus.
These results are then used to argue for new and highly non-trivial
dualities between geometric and non-geometric supersymmetric
conformal field theories such as supersphere sigma-models and OSP
Gross-Neveu models.