4.4 Article

Comments on determinant formulas for general CFTs

期刊

JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 10, 页码 -

出版社

SPRINGER
DOI: 10.1007/JHEP10(2016)035

关键词

Conformal and W Symmetry; Field Theories in Nigher Dimensions; Field Theories in Lower Dimensions

资金

  1. WPI program (MEXT, Japan)
  2. JSPS Program for Advancing Strategic International Networks to Accelerate the Circulation of Talented Researchers
  3. JSPS KAKENHI Grant [15K17634]
  4. Adler Family Fund
  5. KITP UCSB (New Methods in Nonperturbative Quantum Field Theory) [NSF PHY11-25915]
  6. Grants-in-Aid for Scientific Research [15K17634] Funding Source: KAKEN

向作者/读者索取更多资源

We point out that the determinant formula for a parabolic\Tema module plays a key role in the study of (super)conformal field theories and in particular their (super)conformal blocks. The determinant formula is known from the old work of Jantzen for bosonic conformal algebras, and we present a conjecture for superconformal algebras. The application of the formula includes derivation of the unitary bound and recursion relations for conformal blocks.

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