The free field approach to the higher rank XXZ chain with a boundary

2001 ◽  
Vol 47 (8) ◽  
pp. 5187-5198
Author(s):  
Takeo Kojima
Author(s):  
Göran Bergqvist ◽  
Paul Lankinen

We present a study of Rainich-like conditions for symmetric and trace-free tensors T . For arbitrary even rank we find a necessary and sufficient differential condition for a tensor to satisfy the source-free field equation. For rank 4, in a generic case, we combine these conditions with previously obtained algebraic conditions to gain a complete set of algebraic and differential conditions on T for it to be a superenergy tensor of a Weyl candidate tensor, satisfying the Bianchi vacuum equations. By a result of Bell and Szekeres, this implies that in vacuum, generically, T must be the Bel–Robinson tensor of the spacetime. For the rank 3 case, we derive a complete set of necessary algebraic and differential conditions for T to be the superenergy tensor of a massless spin-3/2 field, satisfying the source-free field equation.


2013 ◽  
Vol 102 (0) ◽  
pp. 67-135
Author(s):  
P. Bouwknegt ◽  
J. McCarthy ◽  
K. Pilch

2005 ◽  
Vol 731 (3) ◽  
pp. 360-388 ◽  
Author(s):  
S.E. Parkhomenko
Keyword(s):  

1999 ◽  
Vol 40 (8) ◽  
pp. 3791-3826 ◽  
Author(s):  
Yuji Hara ◽  
Michio Jimbo ◽  
Hitoshi Konno ◽  
Satoru Odake ◽  
Jun’ichi Shiraishi
Keyword(s):  

2001 ◽  
Vol 598 (3) ◽  
pp. 451-466 ◽  
Author(s):  
Kazuo Hosomichi ◽  
Kazumi Okuyama ◽  
Yuji Satoh

2004 ◽  
Vol 19 (supp02) ◽  
pp. 294-310
Author(s):  
S. E. PARKHOMENKO

The approach to construction of D-branes in the N=2 superconformal minimal models based on a free-field realization of the N=2 super-Virasoro algebra unitary modules is represented.


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