Symmetry in Nonlinear Mathematical Physics - 2009
Tatyana Obikhod (Institute for Nuclear Research of NASU, Kyiv, Ukraine)
Categorical approach to branes and superstrings
Theory of derived categories is the modern language of high energy physics. Quivers are objects of derived categories, which
describe branes; and Ext groups are morphisms of derived categories, which describe superstrings. Information encoded in Ext groups
enables to determine spectra of elementary particles. Besides known particles these spectra contain exotic particles such as
superpartners, Kaluza-Klein partners and micro black holes. These predictions are very perspective as they are connected with searches
of exotic particles at the LHC.