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Andreas Stergiou (Yale)
Thursday 07 May 2015, 13:00-14:00
Trace anomaly on the conformal manifold
- đ¤ Speaker: Andreas Stergiou (Yale)
- đ Date & Time: Thursday 07 May 2015, 13:00 - 14:00
- đ Venue: Potter Room (first floor, Pav. B)
Abstract
Conformal field theories (CFTs) defined at fixed points of the renormalization group flow can be lifted to curved space where they develop the well-known trace anomaly. In this talk we will consider the trace anomaly of CFTs with exactly marginal operators. The couplings that source the marginal operators are promoted to spacetime-dependent functions, and new terms, proportional to derivatives of the couplings, appear in the trace anomaly. Using both field-theoretic as well as holographic methods we will analyze these contributions in four and six spacetime dimensions, and illustrate their relevance to the a-theorem and the relation between scale and conformal invariance. The six-dimensional case displays novel features not seen in lower dimensions.
Series This talk is part of the Quantum Fields and Strings Seminars series.
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