121 citations · 1.4k across the 88 of their papers we have counts for
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X=M Theorem: Fermionic formulas and rigged configurations under review
Anne Schilling
We give a review of the current status of the X=M conjecture. Here X stands for the one-dimensional configuration sum and M for the corresponding fermionic formula. There are three…
New fermionic formula for unrestricted Kostka polynomials
Lipika Deka, Anne Schilling
A new fermionic formula for the unrestricted Kostka polynomials of type is presented. This formula is different from the one given by Hatayama et al. and is valid f…
Crystal structure on rigged configurations
Anne Schilling
Rigged configurations are combinatorial objects originating from the Bethe Ansatz, that label highest weight crystal elements. In this paper a new unrestricted set of rigged config…
Non-unitary minimal models, Bailey's lemma and N=1,2 superconformal algebras
Lipika Deka, Anne Schilling
Using the Bailey flow construction, we derive character identities for the N=1 superconformal models SM(p',2p+p') and SM(p',3p'-2p), and the N=2 superconformal model with central c…