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CATEGORIES:Quantum Fields and Strings Seminars
SUMMARY:Conformal Manifolds in Four Dimensions and Chiral
Algebras - Matthew Buican (QMUL)
DTSTART;TZID=Europe/London:20160602T130000
DTEND;TZID=Europe/London:20160602T140000
UID:TALK65128AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/65128
DESCRIPTION:Any N = 2 superconformal field theory (SCFT) in fo
ur dimensions has a sector of operators related to
a two-dimensional chiral algebra containing a Vir
asoro sub-algebra. Moreover\, there are well-known
examples of isolated SCFTs whose chiral algebra i
s a Virasoro algebra. In this talk\, I will consid
er the chiral algebras associated with interacting
N = 2 SCFTs possessing an exactly marginal deform
ation that can be interpreted as a gauge coupling
(i.e.\, at special points on the resulting conform
al manifolds\, free gauge fields appear that decou
ple from isolated SCFT building blocks). At any po
int on these conformal manifolds\, I will argue th
at the associated chiral algebras possess at least
three generators. In addition\, I will show that
there are examples of SCFTs realizing such a minim
al chiral algebra: they are certain points on the
conformal manifold obtained by considering the low
-energy limit of type IIB string theory on a parti
cular three complex-dimensional hyper surface sing
ularity I will describe. The associated chiral alg
ebra is the A(6) theory of Feigin\, Feigin\, and T
ipunin. As byproducts of this discussion\, I will
argue that (i) a collection of isolated theories c
an be conformally gauged only if there is a SUSY m
oduli space associated with the corresponding symm
etry current moment maps in each sector\, and (ii)
N = 2 SCFTs with a ≥ c have hidden fermionic symm
etries (in the sense of fermionic chiral algebra g
enerators).\n
LOCATION:Potter Room (first floor\, Pav. B)
CONTACT:Dr. Piotr Tourkine
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