Bookcover of Fermionic Formulas
Booktitle:

Fermionic Formulas

Fermionic Formulas For Unrestricted Kostka Polynomials And Superconformal Characters

LAP LAMBERT Academic Publishing (2012-03-08 )

Books loader

Omni badge eligible for voucher
ISBN-13:

978-3-8465-8484-2

ISBN-10:
3846584843
EAN:
9783846584842
Book language:
English
Blurb/Shorttext:
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.
Publishing house:
LAP LAMBERT Academic Publishing
Website:
https://www.lap-publishing.com/
By (author) :
Lipika Deka
Number of pages:
184
Published at:
2012-03-08
Stock:
Available
Category:
Mathematics
Price:
68.00 €
Keywords:
Kostka Polynomials, Ramanujan Identities

Books loader

Newsletter

Adyen::amex Adyen::mc Adyen::visa Adyen::cup Adyen::unionpay Paypal Wire Transfer

  0 products in the shopping cart
Edit cart
Loading frontend
LOADING