Superstrings, P-branes and M-theory

abelian algebraic topology black hole bosonic brane C*-algebra Calabi-Yau called chain complex classical Clifford algebras closed strings cohomology commutative compact complex numbers coordinate corresponding cosmology D-branes defined described differential dimensional dimensions Einstein electromagnetic elements energy entropy equations equivalent example factor fermions Feynman diagram finite formulation functions functor fundamental gauge theory geometry groupoid Hamiltonian Hilbert space homology homomorphism homotopy Hopf algebra infinite integral interactions invariant ISBN isomorphic Kähler Lie algebra Lie groups linear loop M-theory manifold mathematical matrix metric module morphisms MSSM Neumann algebra objects observables operators orthogonal particles photon physics properties quantization quantum field theory quantum gravity quantum group quantum mechanics quantum theory relativistic relativity representation scalar self-adjoint spacetime Standard Model string theory structure subspace supergravity superstring theory supersymmetry symmetry group tensor product theorem theory of everything tion topological space topological vector space transformations University Press vertex von Neumann algebra