Modular Invariant Partition Functions and Method of Shift Vector

H. Arfaei; A. Shirzad

doi:10.1063/1.530770

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arXiv · hep-th/9301016

Modular Invariant Partition Functions and Method of Shift Vector

H. Arfaei·A. Shirzad

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Abstract

Using shift vector method we obtain a large class of self-dual lattices of dimension $(l,l)$, which has a one to one correspondence with modular invariants of free bosonic theory compactified on co-root lattice of a rank $l$ Lie group. Then a large number of modular invariants of affine Lie algebras are derived explicitly. As two applications of this method, we give a direct derivation of $D$-series of $SU(N)$ and a new proof for the A-D-E classification of the $SU(2)_k$ partition functions.

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H. Arfaei, A. Shirzad. 1993-01-06. Modular Invariant Partition Functions and Method of Shift Vector. https://doi.org/10.1063/1.530770

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