[hep-th] seminar

[Branislav Cvetkovic]

Postovane kolege,

u petak 22. maja u 11h na Institutu za fiziku, u sali 300, Atanasios 
Hadzistavrakidis sa Univerziteta u Hanoveru ce odrzati seminar pod 
naslovom  "An introduction to Courant algebroids with applications in 
physics". Apstrakt vam prosledjujem u nastavku.

Pozdrav Branislav




Abstract: Modern methods of differential geometry, notably the theory 
of Lie and Courant algebroids, have found numerous applications
in theoretical physics over the last years, including Yang-Mills 
theories, sigma models and string theory. These structures are 
instrumental
in systematically formulating theories with different sets of degrees 
of freedom (for example gauge and scalar fields in field theories, or
metric and Kalb-Ramond fields in string theory) and discussing 
generalized symmetries (for example algebroid gauge symmetries and 
T-duality).
In this talk first we introduce the basic mathematical notions and 
discuss some examples. The main techniques that allow the construction 
of general
classes of algebroid structures are presented. Then we shift our 
attention to three applications in physics: (a) the construction of 
generalized Yang-Mils theories on
a particular type of Lie algebroids called Dirac structures, (b) a 
matrix model with SO(d,d) symmetry that provides an emergent picture for 
the dynamics of
(non-commutative) phase space and (c) a class of sigma models providing 
a description of non-geometric backgrounds in string theory.

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Institute of Physics Belgrade
Pregrevica 118, 11080 Belgrade, Serbia
http://www.ipb.ac.rs/