The Holographic F Theorem

Frontiers in Physics

Woodhead, William¹  Taylor, Marika¹ 

[1] Mathematical Sciences and STAG Research Centre, University of Southampton, United Kingdom

关键词: Holography;    Quantum Field Theory in Curved Spacetime;    string theory;    gravity;    Gauge gravity duality;   

DOI  :  10.3389/fphy.2017.00066

学科分类：物理（综合）

来源: Frontiers

【 摘 要 】

The F theorem states that, for a unitary three dimensional quantum field theory, the F quantity defined in terms of the partition function on a three sphere is positive, stationary at fixed point and decreases monotonically along a renormalization group flow. We construct holographic renormalization group flows corresponding to relevant deformations of three-dimensional conformal field theories on spheres, working to quadratic order in the source. For these renormalization group flows, the F quantity at the IR fixed point is always less than F at the UV fixed point, but F increases along the RG flow for deformations by operators of dimension between 3/2 and 5/2. Therefore the strongest version of the F theorem is in general violated.

【 授权许可】

CC BY