Pregled bibliografske jedinice broj: 942088
Lie-algebraic solutions of the type IIB matrix model
Lie-algebraic solutions of the type IIB matrix model // Physical Review D, 84 (2011), 10; 106010, 22 doi:10.1103/physrevd.84.106010 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 942088 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Lie-algebraic solutions of the type IIB matrix model
Autori
Chatzistavrakidis, Athanasios
Izvornik
Physical Review D (1550-7998) 84
(2011), 10;
106010, 22
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Lie algebras, Matrix models, Non-commutative Geometry
Sažetak
A systematic search for Lie algebra solutions of the type IIB matrix model is performed. Our survey is based on the classification of all Lie algebras for dimensions up to five and of all nilpotent Lie algebras of dimension six. It is shown that Lie-type solutions of the equations of motion of the type IIB matrix model exist and they correspond to certain nilpotent and solvable Lie algebras. Their representation in terms of Hermitian matrices is discussed in detail. These algebras give rise to certain non-commutative spaces for which the corresponding star-products are provided. Finally the issue of constructing quantized compact nilmanifolds and solvmanifolds based on the above algebras is addressed.
Izvorni jezik
Engleski
Znanstvena područja
Fizika
