scholarly journals Witten index for noncompact dynamics

2016 ◽  
Vol 2016 (6) ◽  
Author(s):  
Seung-Joo Lee ◽  
Piljin Yi
Keyword(s):  
Witten Index

SOME ALGEBRAICAL, COMBINATORIAL AND ANALYTICAL PROPERTIES OF PARAGRASSMANN VARIABLES

2005 ◽  
Vol 20 (20n21) ◽  
pp. 4797-4819 ◽  
Author(s):  
MATTHIAS SCHORK
Keyword(s):  
Differential Equations ◽  
Fibonacci Numbers ◽  
Delta Function ◽  
Geometrical Interpretation ◽  
Generalized Fibonacci Numbers ◽  
Analytical Properties ◽  
Witten Index ◽  
Grassmann Variables

Some algebraical, combinatorial and analytical aspects of paragrassmann variables are discussed. In particular, the similarity of the combinatorics involved with those of generalized exclusion statistics (Gentile's intermediate statistics) is stressed. It is shown that the dimensions of the algebras of generalized grassmann variables are related to generalized Fibonacci numbers. On the analytical side, some of the simplest differential equations are discussed and a suitably generalized Berezin integral as well as an associated delta-function are considered. Some remarks concerning a geometrical interpretation of recent results about fractional superconformal transformations involving generalized grassmann variables are given. Finally, a quantity related to the Witten index is discussed.

Fractionization of the witten index

1984 ◽  
Vol 138 (5-6) ◽  
pp. 389-392 ◽  
Author(s):  
A.J. Niemi ◽  
L.C.R. Wijewardhana
Keyword(s):  
Witten Index

scholarly journals Topological invariance of the Witten index

1988 ◽  
Vol 79 (1) ◽  
pp. 91-102 ◽  
Author(s):  
F Gesztesy ◽  
B Simon
Keyword(s):  
Witten Index ◽  
Topological Invariance

scholarly journals A SIMPLE METHOD FOR COMPUTING SOLITON STATISTICS

1994 ◽  
Vol 09 (24) ◽  
pp. 2245-2251 ◽  
Author(s):  
DONALD SPECTOR
Keyword(s):  
Large Class ◽  
Simple Method ◽  
Witten Index ◽  
Supersymmetric Theories

I propose a simple method for identifying the statistics of kink-type solitons in a large class of theories. The method is based on the Witten index, but can in fact be used to determine soliton statistics in non-supersymmetric theories as well.

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