Logarithmic trace and orbifold products
نویسندگان
چکیده
منابع مشابه
Logarithmic Trace and Orbifold Products
The purpose of this paper is to give a purely equivariant definition of orbifold Chow rings of quotient Deligne-Mumford stacks. This completes a program begun in [JKK] for quotients by finite groups. The key to our construction is the definition (Section 6.1), of a twisted pullback in equivariant K-theory, KG(X) → KG(I2G(X)) taking non-negative elements to non-negative elements. (Here I G (X) =...
متن کاملLogarithmic Sobolev Trace Inequality
A logarithmic Sobolev trace inequality is derived. Bounds on the best constant for this inequality from above and below are investigated using the sharp Sobolev inequality and the sharp logarithmic Sobolev inequality. Logarithmic Sobolev inequalities capture the spirit of classical Sobolev inequalities with the logarithm function replacing powers, and they can be considered as limiting cases of...
متن کاملDouble-trace operators in orbifold QFT
There are two different types of the action of the orbifold group Γ on S5 -with and without fixed points. According to [2] in the first case the twisted sector of string theory in such a geometry contains a tachyon, and therefore the geometry AdS5 × S5/Γ is not stable and is not a valid description of QFT. So, we conclude that the orbifolds with fixed point are not conformal at strong coupling....
متن کاملOrbifold Cup Products and Ring Structures on Hochschild Cohomologies
In this paper we study the Hochschild cohomology ring of convolution algebras associated to orbifolds, as well as their deformation quantizations. In the first case the ring structure is given in terms of a wedge product on twisted polyvectorfields on the inertia orbifold. After deformation quantization, the ring structure defines a product on the cohomology of the inertia orbifold. We study th...
متن کاملModular-invariance of trace functions in orbifold theory
The goal of the present paper is to provide a mathematically rigorous foundation to certain aspects of the theory of rational orbifold models in conformal field theory, in other words the theory of rational vertex operator algebras and their automorphisms. Under a certain finiteness condition on a rational vertex operator algebra V which holds in all known examples, we determine the precise num...
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: Duke Mathematical Journal
سال: 2010
ISSN: 0012-7094
DOI: 10.1215/00127094-2010-028