Lipika Deka

Fermionic Formulas

Fermionic Formulas For Unrestricted Kostka Polynomials And Superconformal Characters

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Verlag: LAP Lambert Academic Publishing
• Aufl.
• Seitenzahl: 184
• Englisch
• Abmessung: 220mm
• ISBN-13: 9783846584842
• ISBN-10: 3846584843
• Artikelnr.: 35228090

Autorenporträt

Dr. Lipika Deka is an Assistant Professor of Mathematics at the department of Mathematics and Statistics, California State University-Monterey Bay. Dr. Deka received her PhD in Mathematics from University of California, Davis in 2005. Dr. Deka's area of research is Algebraic Combinatorics and she loves being a teacher of mathematics.