Interface conformal anomalies

Journal of High Energy Physics

Dmitri V. Vassilevich¹  Christopher P. Herzog²  Kuo-Wei Huang³ 

[1] CMCC, Universidade Federal do ABC, Avenida dos Estados 5001, CEP 09210-580, Santo André, S.P., Brazil;Physics Department, Tomsk State University, 36 Lenin Ave., Tomsk, Russia;Department of Mathematics, King’s College London, The Strand, WC2R 2LS, London, U.K.;Department of Physics, Boston University, Commonwealth Avenue, 02215, Boston, MA, USA;

关键词: Boundary Quantum Field Theory;    Conformal Field Theory;    Field Theories in Higher Dimensions;   

DOI  :  10.1007/JHEP10(2020)132

来源: Springer

【 摘 要 】

We consider two d ≥ 2 conformal field theories (CFTs) glued together along a codimension one conformal interface. The conformal anomaly of such a system contains both bulk and interface contributions. In a curved-space setup, we compute the heat kernel coefficients and interface central charges in free theories. The results are consistent with the known boundary CFT data via the folding trick. In d = 4, two interface invariants generally allowed as anomalies turn out to have vanishing interface charges. These missing invariants are constructed from components with odd parity with respect to flipping the orientation of the defect. We conjecture that all invariants constructed from components with odd parity may have vanishing coefficient for symmetric interfaces, even in the case of interacting interface CFT.

【 授权许可】

CC BY