Opening Mirror Symmetry on the Quintic
- J. Walcher
- Mathematics
- 17 May 2006
Aided by mirror symmetry, we determine the number of holomorphic disks ending on the real Lagrangian in the quintic threefold. We hypothesize that the tension of the domainwall between the two vacua…
Stability of Landau-Ginzburg branes
- J. Walcher
- Mathematics
- 22 December 2004
We evaluate the ideas of Π-stability at the Landau-Ginzburg (LG) point in moduli space of compact Calabi-Yau manifolds, using matrix factorizations to B-model the topological D-brane category. The…
Evidence for Tadpole Cancellation in the Topological String
- J. Walcher
- Mathematics
- 17 December 2007
We study the topological string on compact Calabi-Yau threefolds in the presence of orientifolds and D-branes. In examples, we find that the total topological string amplitude admits a BPS expansion…
F-term equations near Gepner points
- K. Hori, J. Walcher
- Mathematics
- 26 April 2004
We study marginal deformations of B-type D-branes in Landau-Ginzburg orbifolds. The general setup of matrix factorizations allows for exact computations of F-term equations in the low-energy…
Extended Holomorphic Anomaly in Gauge Theory
- D. Krefl, J. Walcher
- Mathematics
- 1 July 2010
The partition function of an $${\mathcal {N}=2}$$ gauge theory in the Ω-background satisfies, for generic value of the parameter $${\beta=-{\epsilon_1}/{\epsilon_2}}$$ , the, in general extended, but…
Calculations for mirror symmetry with D-branes
- J. Walcher
- Mathematics
- 30 April 2009
We study normal functions capturing D-brane superpotentials on several one- and two-parameter Calabi-Yau hypersurfaces and complete intersections in weighted pro- jective space. We calculate in the…
Disk enumeration on the quintic 3-fold
- R. Pandharipande, J. Solomon, J. Walcher
- Mathematics
- 29 October 2006
Holomorphic disk invariants with boundary in the real Lagrangian of a quintic 3-fold are calculated by localization and proven mirror transforms. A careful discussion of the underlying virtual…
Extended holomorphic anomaly and loop amplitudes in open topological string
- J. Walcher
- Mathematics
- 29 May 2007
D-branes and Normal Functions
- D. Morrison, J. Walcher
- Mathematics
- 26 September 2007
We explain the B-model origin of extended Picard-Fuchs equations satisfied by the D-brane superpotential on compact Calabi-Yau threefolds. Via the Abel-Jacobi map, the domainwall tension is…
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