Modular invariant partition function of the Hubbard model
نویسندگان
چکیده
منابع مشابه
The 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 کاملThe Partition Function and Modular Forms
1. Intro to partition function and modular forms 1 2. Partition function leading term, without modular forms 2 3. Modular form basics 5 4. First application: Rademacher’s formula 6 4.1. A Transformation Formula for the η Function 6 4.2. Rademacher’s Convergent Series 14 5. Second application: Ramanujan congruences 22 5.1. Additional Results from Modular Functions 22 5.2. Proof of Ramanujan Cong...
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 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 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: Il Nuovo Cimento D
سال: 1996
ISSN: 0392-6737
DOI: 10.1007/bf02457674