Elliptic genus and vertex operator algebras

نویسندگان

  • Chongying DONG
  • Kefeng LIU
  • Xiaonan MA
چکیده

were also studied in [47]. It was conjectured in [47] that all these elliptic operators are rigid, generalizing the famous vanishing theorem of Atiyah-Hirzebruch for the Â-genus. There were several rather interesting proofs of these Witten’s conjectures (see [46], [8], [38], [41]). The one relevant to this paper is the proof given in [38], [39] where the main idea was to use the modular invariance of affine Kac-Moody characters. Note that the fibers of the bundles

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

2 00 3 Formal differential operators , vertex operator algebras and zeta – values , II

We introduce certain correlation functions (graded q–traces) associated to vertex operator algebras and superalgebras which we refer to as n–point functions. These naturally arise in the studies of representations of Lie algebras of differential operators on the circle [22]–[23], [25]. We investigate their properties and consider the corresponding graded q–traces in parallel with the passage fr...

متن کامل

Torus Chiral n-Point Functions for Free Boson and Lattice Vertex Operator Algebras

We obtain explicit expressions for all genus one chiral n-point functions for free bosonic and lattice vertex operator algebras. We also consider the elliptic properties of these functions. Partial support provided by NSF DMS -9709820 and the Committee on Research, University of California, Santa Cruz Supported by an Enterprise Ireland Basic Research Grant and the Millenium Fund, National Unive...

متن کامل

Genera of Vertex Operator Algebras and three-dimensional Topological Quantum Field Theories

The notion of the genus of a quadratic form is generalized to vertex operator algebras. We define it as the modular braided tensor category associated to a suitable vertex operator algebra together with the central charge. Statements similar as known for quadratic forms are formulated. We further explain how extension problems for vertex operator algebras can be described in terms of the associ...

متن کامل

A Jacobi identity for intertwining operator algebras

We find a Jacobi identity for intertwining operator algebras. Most of the main properties of genus-zero conformal field theories, including the main properties of vertex operator algebras, modules, intertwining operators, Verlinde algebras, and fusing and braiding matrices, are incorporated into this identity. We prove that intertwining operators for a suitable vertex operator algebra satisfy t...

متن کامل

Generalized Rationality and a “Jacobi Identity” for Intertwining Operator Algebras

We prove a generalized rationality property and a new identity that we call the “Jacobi identity” for intertwining operator algebras. Most of the main properties of genus-zero conformal field theories, including the main properties of vertex operator algebras, modules, intertwining operators, Verlinde algebras, and fusing and braiding matrices, are incorporated into this identity. Together with...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008