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Informal Pizza SeminarThe Standard Model from Non-Commutative Complex Projective SpacesBrian DolanNational University of IrelandIt is argued that the Standard Model fermion spectrum, including the right-handed neutrinos, can be obtained from zero-modes of the Dirac operator on a space which is the product of complex projective spaces of complex dimensions two and three. The construction requires the introduction of topologically non-trivial background gauge fields. By borrowing ideas from Connes' non-commutative geometry and making the complex spaces `fuzzy', a matrix approximation to the complex space allows for three generations to emerge naturally. The generations are associated with three copies of space-time.
Thursday, July 3rd 2003, 13:00
Ernest Rutherford Physics Building, room 326 |