Journal
JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 10, Pages -Publisher
SPRINGER
DOI: 10.1007/JHEP10(2016)035
Keywords
Conformal and W Symmetry; Field Theories in Nigher Dimensions; Field Theories in Lower Dimensions
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Funding
- WPI program (MEXT, Japan)
- JSPS Program for Advancing Strategic International Networks to Accelerate the Circulation of Talented Researchers
- JSPS KAKENHI Grant [15K17634]
- Adler Family Fund
- KITP UCSB (New Methods in Nonperturbative Quantum Field Theory) [NSF PHY11-25915]
- Grants-in-Aid for Scientific Research [15K17634] Funding Source: KAKEN
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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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