AdS/CFT in Fractional Dimension and Higher-Spins at One Loop

Skvortsov, Evgeny und Tran, Tung (2017): AdS/CFT in Fractional Dimension and Higher-Spins at One Loop. In: Universe, Bd. 3, Nr. 3, 61

Abstract

Large-N, epsilon-expansion or the conformal bootstrap allow one to make sense of some of conformal field theories in non-integer dimension, which suggests that AdS/CFT may also extend to fractional dimensions. It was shown recently that the sphere free energy and the a-anomaly coefficient of the free scalar field can be reproduced as a one-loop effect in the dual higher-spin theory in a number of integer dimensions. We extend this result to all integer and also to fractional dimensions. Upon changing the boundary conditions in the higher-spin theory the sphere free energy of the large-N Wilson-Fisher CFT can also be reproduced from the higher-spin side.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Physik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 530 Physik
• ISSN: 2218-1997
• Sprache: Englisch