منابع مشابه
Liouville Field, Modular Forms and Elliptic Genera
When we describe non-compact or singular Calabi-Yau manifolds by CFT, continuous as well as discrete representations appear in the theory. These representations mix under modular transformations and do not have good modular properties. In this article we propose a method of combining discrete and continuous representations so that they have good modular behavior and can be used as conformal blo...
متن کاملModular Forms and Elliptic Genera for ALE Spaces ∗
When we describe string propagation on non-compact or singular Calabi-Yau manifolds by CFT, continuous as well as discrete representations appear in the theory. These representations mix in an intricate way under the modular transformations. In this article, we propose a method of combining discrete and continuous representations so that the resulting combinations have a simpler modular behavio...
متن کاملElliptic Genera, Transgression and Loop Space Chern-simons Forms
We compute the Chern-Simons transgressed forms of some modularly invariant characteristic forms, which are related to the elliptic genera. We study the modularity properties of these secondary characteristic forms and the relations among them. We also compute the Chern-Simons forms of some vector bundles over free loop space.
متن کاملLiouville Theory and Elliptic Genera
The structure and modular properties of N = 4 superconformal characters are reviewed and exploited, in an attempt to construct elliptic genera-like functions by decompactifying K3. The construction is tested against expressions obtained in the context of strings propagating in background ALE spaces of type AN−1, using the underlying superconformal theory N = 2 minimal ⊗ N = 2 Liouville.
متن کاملOrbifold Elliptic Genera and Rigidity
Let M be a closed almost complex manifold on which a compact connected Lie group G acts non-trivially. If the first Chern class of M is divisible by an integer N greater than 1, then its equivariant elliptic genus φ(M) of level N is rigid, i.e., it is constant as a virtual character of G. This result was predicted by Witten [W] and proved by Taubes [T], Bott-Taubes [BT] and Hirzebruch [H]. Elli...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of High Energy Physics
سال: 2014
ISSN: 1029-8479
DOI: 10.1007/jhep01(2014)082