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Braids, Walls and Mirrors Based on joint work with Sergio Cecotti and Clay Cordova

Braids, Walls and Mirrors Based on joint work with Sergio Cecotti and Clay Cordova . TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: A A A A A A A. . N=2, d=4 from M5 branes : M5 brane on . BPS states: M2 branes ending on M5 branes .

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Braids, Walls and Mirrors Based on joint work with Sergio Cecotti and Clay Cordova

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  1. Braids, Walls and Mirrors Based on joint work with Sergio Cecottiand Clay Cordova TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: AAAAAAA

  2. . N=2, d=4 from M5 branes: M5 brane on

  3. BPS states: M2 branes ending on M5 branes. SUSY: ydx has the same phase: (Klemm et.al., Shapere,GMN)

  4. Near each branch point where y=0, the behaviour of the flow has a cubic structure:

  5. By wall-crossing, we can go to a 3-particle chamber

  6. By wall-crossing, we can go to a 3-particle chamber

  7. Can we view this as a 3d M5 brane?

  8. This rotation does not preserve conventional*supersymmetry, instead: *There is an unconventional supersymmetry it can preserve (Cecotti,V)

  9. This leads to N=2, d=3 theory: Special Lagrangian

  10. Topology of the Special Lagragian is that of solid torus, or equivalently double cover of the solid ball:

  11. Branched loci form a braid:

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