Wall Crossing and M-Theory
Copyright policy )Wall Crossing and M-Theory
We study BPS bound states of D0 and D2 branes on a single D6 brane wrapping a Calabi-Yau 3-fold X . When X has no compact 4-cyles, the BPS bound states are organized into a free field Fock space, whose generators correspond to BPS states of spinning M2 branes in M-theory compactified down to 5 dimensions by a Calabi-Yau 3-fold X . The generating function of the D-brane bound states is expressed as a reduction of the square of the topological string partition function, in all chambers of the Kähler moduli space.
- University of California United States
- University of Tokyo Japan
- University of California, San Francisco United States
- University of California, Berkeley United States
- Harvard University United States
High Energy Physics - Theory, BPS states, wall crossing, M-theory compactified down, 500, FOS: Physical sciences, Taub-NUT geometry, Gopakumar-Vafa invariants, 530, Calabi-Yau 3-fold, Fock space, Calabi-Yau manifold, bound state, Mathematics - Algebraic Geometry, High Energy Physics - Theory (hep-th), D-branes, free field Fock space, FOS: Mathematics, string theory, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Algebraic Geometry (math.AG), topological string partition function
High Energy Physics - Theory, BPS states, wall crossing, M-theory compactified down, 500, FOS: Physical sciences, Taub-NUT geometry, Gopakumar-Vafa invariants, 530, Calabi-Yau 3-fold, Fock space, Calabi-Yau manifold, bound state, Mathematics - Algebraic Geometry, High Energy Physics - Theory (hep-th), D-branes, free field Fock space, FOS: Mathematics, string theory, Gromov-Witten invariants, quantum cohomology, Gopakumar-Vafa invariants, Donaldson-Thomas invariants (algebro-geometric aspects), Algebraic Geometry (math.AG), topological string partition function
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