scholarly journals Quadrality for supersymmetric matrix models

2017 ◽  
Vol 2017 (7) ◽  
Author(s):  
Sebastián Franco ◽  
Sangmin Lee ◽  
Rak-Kyeong Seong ◽  
Cumrun Vafa
2000 ◽  
Vol 567 (1-2) ◽  
pp. 231-248 ◽  
Author(s):  
J. Fröhlich ◽  
G.M. Graf ◽  
D. Hasler ◽  
J. Hoppe ◽  
S.-T. Yau

1996 ◽  
Vol 482 (3) ◽  
pp. 660-674 ◽  
Author(s):  
J. Ambjørn ◽  
Y. Makeenko ◽  
K. Zarembo

1993 ◽  
Vol 08 (22) ◽  
pp. 2125-2134 ◽  
Author(s):  
JOSÉ M. FIGUEROA-O’FARRILL ◽  
SONIA STANCIU

Recently we investigated a new supersymmetrization procedure for the KdV hierarchy inspired in some recent work on supersymmetric matrix models. We extend this procedure here for the generalized KdV hierarchies. The resulting supersymmetric hierarchies are generically nonlocal, except for the case of Boussinesque which we treat in detail. The resulting supersymmetric hierarchy is integrable and bi-Hamiltonian and contains the Boussinesque hierarchy as a subhierarchy. In a particular realization, we extend it by defining supersymmetric odd flows. We end with some comments on a slight modification of this supersymmetrization which yields local equations for any generalized KdV hierarchy.


2012 ◽  
Vol 856 (3) ◽  
pp. 716-747 ◽  
Author(s):  
Lyonell Boulton ◽  
Maria Pilar Garcia del Moral ◽  
Alvaro Restuccia

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