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Quantum Foam and Topological Strings
A. Iqbal, N. Nekrasov, A. Okounkov +1
We find an interpretation of the recent connection found between topological strings on Calabi-Yau threefolds and crystal melting: Summing over statistical mechanical configuration…
Topological Strings and Integrable Hierarchies
Mina Aganagic, Robbert Dijkgraaf, Albrecht Klemm +2
We consider the topological B-model on local Calabi-Yau geometries. We show how one can solve for the amplitudes by using W-algebra symmetries which encodes the symmetries of holom…
On Low Rank Classical Groups in String Theory, Gauge Theory and Matrix Models
Ken Intriligator, Per Kraus, Anton V. Ryzhov +2
We consider N=1 supersymmetric U(N), SO(N), and Sp(N) gauge theories, with two-index tensor matter and added tree-level superpotential, for general breaking patterns of the gauge g…
On the Worldsheet Derivation of Large N Dualities for the Superstring
Nathan Berkovits, Hirosi Ooguri, Cumrun Vafa
Large N topological string dualities have led to a class of proposed open/closed dualities for superstrings. In the topological string context, the worldsheet derivation of these d…
Matrix Models, Geometric Engineering and Elliptic Genera
Timothy J. Hollowood, Amer Iqbal, Cumrun Vafa
We compute the prepotential of N=2 supersymmetric gauge theories in four dimensions obtained by toroidal compactifications of gauge theories from 6 dimensions, as a function of Kah…
Quantum Calabi-Yau and Classical Crystals
Andrei Okounkov, Nikolai Reshetikhin, Cumrun Vafa
We propose a new duality involving topological strings in the limit of large string coupling constant. The dual is described in terms of a classical statistical mechanical model of…