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LAP Lambert Academic Publishing Fermionic Formulas: Fermionic Formulas For Unrestricted Kostka Polynomials And Superconformal Characters

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Description
The problem of finding fermionic formulas for the many generalizations of Kostka polynomials and for the characters of conformal field theories has been a very exciting research topic for the last few decades. In this book, which is a dissertation we present new fermionic formulas for the unrestricted Kostka polynomials extending the work of Kirillov and Reshetikhin. Our formulas and method of proof even in the symmetric and anti-symmetric cases are different from the work of Hatayama et~al. We interpret the fermionic formulas in terms of a new set of unrestricted rigged configurations. For the proof we give a statistics preserving bijection from this new set of unrestricted rigged configurations to the set of unrestricted crystal paths which generalizes a bijection of Kirillov and Reshetikhin. We also present new fermionic formulas for the characters of N=1 and N=2 superconformal algebras which extend the work of Berkovich, McCoy and Schilling. We present fermionic formulas for the characters of N=1 superconformal models SM(p',2p+p') and SM(p',3p'-2p), and the N=2 superconformal model. The method used to derive these formulas is known as the Bailey flow.

Product Specifications
Brand
LAP Lambert Academic Publishing
Format
paperback
ASIN
3846584843
Category
Books > Subjects > Science, Nature & Maths > Mathematics
Domain
Amazon UK
Release Date
14 March 2012
Listed Since
12 March 2012

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No barcode data available

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