Vertex Algebraic Structure of Principal Subspaces of Basic A

نویسندگان

  • CORINA CALINESCU
  • ANTUN MILAS
چکیده

We obtain a presentation of the principal subspace of the basic A (2) 2n –module, n ≥ 1. We show that its full character is given by the Nahm sum of the tadpole Dynkin diagram Tn = A2n/Z2. This character is conjecturally modular after certain specializations. We prove the modularity property in the case of the affine Lie algebra of type A (2) 4 .

برای دانلود 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

Vertex-algebraic Structure of the Principal Subspaces of Level One Modules for the Untwisted Affine Lie Algebras

Generalizing some of our earlier work, we prove natural presentations of the principal subspaces of the level one standard modules for the untwisted affine Lie algebras of types A, D and E, and also of certain related spaces. As a consequence, we obtain a canonical complete set of recursions (q-difference equations) for the (multi-)graded dimensions of these spaces, and we derive their graded d...

متن کامل

Vertex - Algebraic Structure of the Principal Subspaces of Certain a ( 1 ) 1 - Modules , Ii : Higher Level Case

We give an a priori proof of the known presentations of (that is, completeness of families of relations for) the principal subspaces of all the standard A (1) 1-modules. These presentations had been used by Capparelli, Lepowsky and Milas for the purpose of obtaining the classical Rogers-Selberg recursions for the graded dimensions of the principal subspaces. This paper generalizes our previous ...

متن کامل

Dualities and Vertex Operator Algebras of Affine Type

We notice that for any positive integer k, the set of (1, 2)-specialized characters of level k standard A (1) 1 -modules is the same as the set of rescaled graded dimensions of the subspaces of level 2k + 1 standard A (2) 2 -modules that are vacuum spaces for the action of the principal Heisenberg subalgebra of A (2) 2 . We conjecture the existence of a semisimple category induced by the “equal...

متن کامل

00 6 Intertwining vertex operators and certain representations of ̂ sl ( n )

We study the principal subspaces, introduced by B. Feigin and A. Stoyanovsky, of the level 1 standard modules for ̂ sl(l + 1) with l ≥ 2. In this paper we construct exact sequences which give us a complete set of recursions that characterize the graded dimensions of the principal subspaces of these representations. This problem can be viewed as a continuation of a new program to obtain Rogers-Ra...

متن کامل

Fe b 20 08 Intertwining vertex operators and certain representations of ̂ sl ( n ) ∗

We study the principal subspaces, introduced by Feigin and Stoyanovsky, of the level 1 standard modules for ̂ sl(l + 1) with l ≥ 2. In this paper we construct exact sequences which give us a complete set of recursions that characterize the graded dimensions of the principal subspaces of these representations. This problem can be viewed as a continuation of a new program to obtain Rogers-Ramanuja...

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

برای دانلود 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

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2015