\({\mathcal N}=2\) superconformal algebra and the entropy of Calabi-Yau manifolds

DOI10.1007/s11005-010-0387-3zbMath1195.81106arXiv1003.1555OpenAlexW3122257277MaRDI QIDQ5962057

Tohru Eguchi, Kazuhiro Hikami

Publication date: 16 September 2010

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1003.1555

zbMATH Keywords

superconformal algebraCalabi-Yau manifoldelliptic genusharmonic Maass formmock theta function

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) String and superstring theories in gravitational theory (83E30) Forms of half-integer weight; nonholomorphic modular forms (11F37) Applications of Lie (super)algebras to physics, etc. (17B81)

Related Items

\( \mathcal{N} = 4 \) superconformal algebra and the entropy of hyperkähler manifolds, Bounds for state degeneracies in 2D conformal field theory, The non-compact elliptic genus: mock or modular, A twisted non-compact elliptic genus, Calabi-Yau manifolds and sporadic groups

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• \( \mathcal{N} = 4 \) superconformal algebra and the entropy of hyperkähler manifolds
• Elliptic genera and quantum field theory
• The theory of Jacobi forms
• Superconformal algebras and mock theta functions. II: Rademacher expansion for \(K3\) surface
• The elliptic genus of Calabi-Yau 3- and 4-folds, product formulae and generalized Kac-Moody algebras
• Witten's invariants of rational homology spheres at prime values of \(K\) and trivial connection contribution
• Elliptic genera of toric varieties and applications to mirror symmetry
• Near horizon geometry of rotating black holes in five dimensions
• Borcherds products on \(O(2,l)\) and Chern classes of Heegner divisors
• Microscopic origin of the Bekenstein-Hawking entropy
• Higher-level Appell functions, modular transformations, and characters
• The definite integral \(\int_{-\infty}^\infty {e^{ax^2+bx}\over e^{cx+d}}dx\) and the analytic theory of numbers
• Elliptic genera and \(N=2\) superconformal field theory
• The \(f(q)\) mock theta function conjecture and partition ranks
• c=3d CONFORMAL ALGEBRA WITH EXTENDED SUPERSYMMETRY
• Coefficients of Harmonic Maass Forms
• A Survey of Classical Mock Theta Functions
• Superconformal algebras and mock theta functions
• The Final Problem : An Account of the Mock Theta Functions