Quantum Supersymmetric Cosmology and its Hidden Kac-Moody Structure
作者： Thibault Damour , Philippe Spindel
DOI: 10.1088/0264-9381/30/16/162001
关键词:
摘要: We study the quantum dynamics of a supersymmetric squashed three-sphere by dimensionally reducing (to one timelike dimension) action D=4 simple supergravity for an SO(3)-homogeneous (Bianchi IX) cosmological model. The quantization homogeneous gravitino field leads to 64-dimensional fermionic Hilbert space. algebra supersymmetry constraints and Hamiltonian is found close. One finds that built from operators generate representation (infinite-dimensional) maximally compact sub-algebra rank-3 hyperbolic Kac-Moody AE_3. Some exponentials these spinorial extension Weyl group AE_3 which describe (in small wavelength limit) chaotic evolution universe near singularity.
arxiv.org
sci-hub.st 参考文章(14)
T Damour, M Henneaux, H Nicolai, TOPICAL REVIEW: Cosmological billiards Classical and Quantum Gravity. ,vol. 20, pp. 145- 200 ,(2002) , 10.1088/0264-9381/20/9/201
T. Damour, M. Henneaux, H. Nicolai, E10and a Small Tension Expansion of M Theory Physical Review Letters. ,vol. 89, pp. 221601- ,(2002) , 10.1103/PHYSREVLETT.89.221601
P.D. D'Eath, S.W. Hawking, O. Obregón, Supersymmetric Bianchi models and the square root of the Wheeler-DeWitt equation. Physics Letters B. ,vol. 300, pp. 44- 48 ,(1993) , 10.1016/0370-2693(93)90746-5
Robert Graham, András Csordás, Hartle-Hawking state in supersymmetric minisuperspace Physics Letters B. ,vol. 373, pp. 51- 55 ,(1996) , 10.1016/0370-2693(96)00098-6
P. D. D'Eath, Quantization of the Bianchi type-IX model in supergravity Physical Review D. ,vol. 48, pp. 713- 718 ,(1993) , 10.1103/PHYSREVD.48.713
V.A. Belinskii, I.M. Khalatnikov, E.M. Lifshitz, Oscillatory approach to a singular point in the relativistic cosmology Advances in Physics. ,vol. 19, pp. 525- 573 ,(1970) , 10.1080/00018737000101171
András Csordás, Robert Graham, Supersymmetric minisuperspace with nonvanishing fermion number. Physical Review Letters. ,vol. 74, pp. 4129- 4132 ,(1995) , 10.1103/PHYSREVLETT.74.4129
Thibault Damour, Philippe Spindel, Quantum Einstein-Dirac Bianchi universes Physical Review D. ,vol. 83, pp. 123520- ,(2011) , 10.1103/PHYSREVD.83.123520
O. Obregón, C. Ramírez, Dirac like formulation of quantum supersymmetric cosmology Physical Review D. ,vol. 57, pp. 1015- 1026 ,(1998) , 10.1103/PHYSREVD.57.1015
Thibault Damour, Axel Kleinschmidt, Hermann Nicolai, Hidden symmetries and the fermionic sector of eleven-dimensional supergravity Physics Letters B. ,vol. 634, pp. 319- 324 ,(2006) , 10.1016/J.PHYSLETB.2006.01.015