000			02374nab a2200301 c 4500
001			vtls000577374
003			RU-ToGU
005			20210907024504.0
007			cr |
008			170613|2017 enk s a eng d
024	7		_a10.1007/JHEP02(2017)099 _2doi
035			_ato000577374
040			_aRU-ToGU _brus _cRU-ToGU
100	1		_aKupriyanov, Vladislav G. _9441818
245	1	0	_aG2-structures and quantization of non-geometric M-theory backgrounds _cV. G. Kupriyanov, R. J. Szabo
504			_aБиблиогр.: 56 назв.
520	3		_aWe describe the quantization of a four-dimensional locally non-geometric M-theory background dual to a twisted three-torus by deriving a phase space star product for deformation quantization of quasi-Poisson brackets related to the nonassociative algebra of octonions. The construction is based on a choice of G2-structure which defines a nonassociative deformation of the addition law on the seven-dimensional vector space of Fourier momenta. We demonstrate explicitly that this star product reduces to that of the three-dimensional parabolic constant R-flux model in the contraction of M-theory to string theory, and use it to derive quantum phase space uncertainty relations as well as triproducts for the nonassociative geometry of the four-dimensional configuration space. By extending the G2-structure to a Spin(7)-structure, we propose a 3-algebra structure on the full eight-dimensional M2-brane phase space which reduces to the quasi-Poisson algebra after imposing a particular gauge constraint, and whose deformation quantisation simultaneously encompasses both the phase space star products and the configuration space triproducts. We demonstrate how these structures naturally fit in with previous occurences of 3-algebras in M-theory.
653			_aнекоммутативная геометрия
653			_aквантование
653			_aМ-теория
655		4	_aстатьи в журналах _9681159
700	1		_aSzabo, Richard J. _9441940
773	0		_tJournal of high energy physics _d2017 _g№ 2. P. 099 (1-43) _x1126-6708
852	4		_aRU-ToGU
856	7		_uhttp://vital.lib.tsu.ru/vital/access/manager/Repository/vtls:000577374
908			_aстатья
999			_c392935