Geometric engineering of (framed) BPS states

Understand

BPS quivers for N=2 SU(N) gauge theories are derived via geometric engineering from derived categories of toric Calabi-Yau threefolds.

• While the outcome is in agreement of previous low energy constructions, the geometric approach leads to several new results.
• An absence of walls conjecture is formulated for all values of N, relating the field theory BPS spectrum to large radius D-brane bound states.
• Supporting evidence is presented as explicit computations of BPS degeneracies in some examples.