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.