On free fermions and plane partitions
نویسندگان
چکیده
منابع مشابه
On Free Fermions and Plane Partitions
We use free fermion methods to re-derive a result of Okounkov and Reshetikhin relating charged fermions to random plane partitions, and to extend it to relate neutral fermions to strict plane partitions.
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We utilize the KOH theorem to prove the unimodality of integer partitions with at most a parts, all parts less than or equal to b, that are required to contain either repeated or consecutive parts. We connect this result to an open question in quantum physics relating the number of distinct total angular momentum multiplets of a system of N fermions, each with angular momentum L, to those of a ...
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We study height fluctuations around the limit shape of a measure on strict plane partitions. It was shown in our earlier work that this measure is a Pfaffian process. We show that the height fluctuations converge to a pullback of the Green’s function for the Laplace operator with Dirichlet boundary conditions on the first quadrant. We use a Pfaffian formula for higher moments to show that the h...
متن کاملPlane Partitions
Throughout our study of the enumeration of plane partitions we make use of bijective proofs to find generating functions. In particular, we consider bounded plane partitions, symmetric plane partitions and weak reverse plane partitions. Using the combinatorial interpretations of Schur functions in relation to semistandard Young tableaux, we rely on the properties of symmetric functions. In our ...
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Using the powerful machinery available for reduced words of type B, we demonstrate a bijection between centrally symmetric k-triangulations of a 2(n + k)-gon and plane partitions of height at most k in a square of size n. This bijection can be viewed as the type B analogue of a bijection for k-triangulations due to L. Serrano and C. Stump. Résumé. En utilisant la machinerie puissante pour mots ...
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ژورنال
عنوان ژورنال: Journal of Algebra
سال: 2009
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2008.08.021