Extended chiral algebras and modular invariant partition functions
نویسندگان
چکیده
منابع مشابه
The Low Level Modular Invariant Partition Functions of Rank-Two Algebras
Using the self-dual lattice method, we make a systematic search for modular invariant partition functions of the affine algebras g of g = A2, A1 + A1, G2, and C2. Unlike previous computer searches, this method is necessarily complete. We succeed in finding all physical invariants for A2 at levels ≤ 32, for G2 at levels ≤ 31, for C2 at levels ≤ 26, and for A1 + A1 at levels k1 = k2 ≤ 21. This wo...
متن کاملThe Classification of Affine SU ( 3 ) Modular Invariant Partition Functions
A complete classification of the WZNW modular invariant partition functions is known for very few affine algebras and levels, the most significant being all levels of SU(2), and level 1 of all simple algebras. In this paper we solve the classification problem for SU(3) modular invariant partition functions. Our approach will also be applicable to other affine Lie algebras, and we include some p...
متن کاملLattice Realizations of Unitary Minimal Modular Invariant Partition Functions
The conformal spectra of the critical dilute A–D–E lattice models are studied numerically. The results strongly indicate that, in branches 1 and 2, these models provide realizations of the complete A–D–E classification of unitary minimal modular invariant partition functions given by Cappelli, Itzykson and Zuber. In branches 3 and 4 the results indicate that the modular invariant partition func...
متن کاملThe Rank Four Heterotic Modular Invariant Partition Functions
In this paper, we develop several general techniques to investigate modular invariants of conformal field theories whose algebras of the holomorphic and anti-holomorphic sectors are different. As an application, we find all such “heterotic” WZNW physical invariants of (horizontal) rank four: there are exactly seven of these, two of which seem to be new. Previously, only those of rank ≤ 3 have b...
متن کاملModular Invariant Partition Functions in the Quantum Hall Effect
We study the partition function for the low-energy edge excitations of the incompressible electron fluid. On an annular geometry, these excitations have opposite chiralities on the two edges; thus, the partition function takes the standard form of rational conformal field theories. In particular, it is invariant under modular transformations of the toroidal geometry made by the angular variable...
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: Nuclear Physics B
سال: 1989
ISSN: 0550-3213
DOI: 10.1016/0550-3213(89)90310-6