Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 10, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP10(2020)132
Keywords
Boundary Quantum Field Theory; Conformal Field Theory; Field Theories in Higher Dimensions
Categories
Funding
- U.K. Science & Technology Facilities Council [ST/P000258/1]
- Wolfson Fellowship from the Royal Society
- Simons Collaboration grant on the NonPerturbative Bootstrap
- U.S. Department of Energy Office of Science [DE-SC0015845]
- Sao Paulo Research Foundation [2016/03319-6]
- CNPq [305594/2019-2]
- RFBR [18-02-00149-a]
- Tomsk State University Competitiveness Improvement Program
- STFC [ST/P000258/1] Funding Source: UKRI
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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.
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