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SUMMARY:Conformal Manifolds in Four Dimensions and Chiral Algebras - Matth
 ew Buican (QMUL)
DTSTART:20160602T120000Z
DTEND:20160602T130000Z
UID:TALK65128@talks.cam.ac.uk
CONTACT:Dr. Piotr Tourkine
DESCRIPTION:Any N = 2 superconformal field theory (SCFT) in four dimension
 s has a sector of operators related to a two-dimensional chiral algebra co
 ntaining a Virasoro sub-algebra. Moreover\, there are well-known examples 
 of isolated SCFTs whose chiral algebra is a Virasoro algebra. In this talk
 \, I will consider the chiral algebras associated with interacting N = 2 S
 CFTs possessing an exactly marginal deformation that can be interpreted as
  a gauge coupling (i.e.\, at special points on the resulting conformal man
 ifolds\, free gauge fields appear that decouple from isolated SCFT buildin
 g blocks). At any point on these conformal manifolds\, I will argue that t
 he associated chiral algebras possess at least three generators. In additi
 on\, I will show that there are examples of SCFTs realizing such a minimal
  chiral algebra: they are certain points on the conformal manifold obtaine
 d by considering the low-energy limit of type IIB string theory on a parti
 cular three complex-dimensional hyper surface singularity I will describe.
  The associated chiral algebra is the A(6) theory of Feigin\, Feigin\, and
  Tipunin. As byproducts of this discussion\, I will argue that (i) a colle
 ction of isolated theories can be conformally gauged only if there is a SU
 SY moduli space associated with the corresponding symmetry current moment 
 maps in each sector\, and (ii) N = 2 SCFTs with a ≥ c have hidden fermio
 nic symmetries (in the sense of fermionic chiral algebra generators).\n
LOCATION:Potter Room (first floor\, Pav. B)
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