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SUMMARY:Trace anomaly on the conformal manifold - Andreas Stergiou (Yale)
DTSTART:20150507T120000Z
DTEND:20150507T130000Z
UID:TALK59322@talks.cam.ac.uk
CONTACT:Godazgar
DESCRIPTION:Conformal field theories (CFTs) defined at fixed points of the
 \nrenormalization group flow can be lifted to curved space where they deve
 lop\nthe well-known trace anomaly. In this talk we will consider the trace
 \nanomaly of CFTs with exactly marginal operators. The couplings that sour
 ce\nthe marginal operators are promoted to spacetime-dependent functions\,
  and\nnew terms\, proportional to derivatives of the couplings\, appear in
  the trace\nanomaly. Using both field-theoretic as well as holographic met
 hods we will\nanalyze these contributions in four and six spacetime dimens
 ions\, and illustrate\ntheir relevance to the a-theorem and the relation b
 etween scale and conformal\ninvariance. The six-dimensional case displays 
 novel features not seen in lower\ndimensions.
LOCATION:Potter Room (first floor\, Pav. B)
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