scholarly journals Spectral properties in supersymmetric matrix models

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

scholarly journals Asymptotic form of zero energy wave functions in supersymmetric matrix models

2000 ◽  
Vol 567 (1-2) ◽  
pp. 231-248 ◽  
Author(s):  
J. Fröhlich ◽  
G.M. Graf ◽  
D. Hasler ◽  
J. Hoppe ◽  
S.-T. Yau
Keyword(s):  
Matrix Models ◽  
Asymptotic Form ◽  
Wave Functions ◽  
Zero Energy ◽  
Supersymmetric Matrix Models

scholarly journals Quadrality for supersymmetric matrix models

2017 ◽  
Vol 2017 (7) ◽  
Author(s):  
Sebastián Franco ◽  
Sangmin Lee ◽  
Rak-Kyeong Seong ◽  
Cumrun Vafa
Keyword(s):  
Matrix Models ◽  
Supersymmetric Matrix Models

scholarly journals Supersymmetric matrix models and branched polymers

1996 ◽  
Vol 482 (3) ◽  
pp. 660-674 ◽  
Author(s):  
J. Ambjørn ◽  
Y. Makeenko ◽  
K. Zarembo
Keyword(s):  
Matrix Models ◽  
Branched Polymers ◽  
Supersymmetric Matrix Models

scholarly journals Overcounting of interior excitations: a resolution to the bags of gold paradox in AdS

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Joydeep Chakravarty
Keyword(s):  
Field Theory ◽  
Hilbert Space ◽  
Black Holes ◽  
Matrix Models ◽  
Effective Field Theory ◽  
Spectral Properties ◽  
Effective Field ◽  
Vast Number ◽  
Bulk State ◽  
Enormous Number

Abstract In this work, we investigate how single-sided and eternal black holes in AdS can host an enormous number of semiclassical excitations in their interior, which is seemingly not reflected in the Bekenstein Hawking entropy. In addition to the paradox in the entropy, we argue that the treatment of such excitations using effective field theory also violates black holes’ expected spectral properties. We propose that these mysteries are resolved because apparently orthogonal semiclassical bulk excitations have small inner products between them; and consequently, a vast number of semiclassical excitations can be constructed using the Hilbert space which describes black hole’s interior. We show that there is no paradox in the dual CFT description and comment upon the initial bulk state, which leads to the paradox. Further, we demonstrate our proposed resolution in the context of small N toy matrix models, where we model the construction of these large number of excitations. We conclude by discussing why this resolution is special to black holes.

scholarly journals NEW SUPERSYMMETRIZATIONS OF THE GENERALIZED KdV HIERARCHIES

1993 ◽  
Vol 08 (22) ◽  
pp. 2125-2134 ◽  
Author(s):  
JOSÉ M. FIGUEROA-O’FARRILL ◽  
SONIA STANCIU
Keyword(s):  
Matrix Models ◽  
Recent Work ◽  
Slight Modification ◽  
Kdv Hierarchy ◽  
Supersymmetric Matrix Models

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.

Sign in / Sign up

Export Citation Format

Share Document