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In these notes, we study a class of grand-canonical partition functions with a kernel depending on a small parameter $\epsilon$.
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Seiberg-Witten theory and random partitions
N. Nekrasov and A. Okounkov · 2003
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Seiberg-Witten prepotential from instanton counting
N. Nekrasov · 2004
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Integrating Over Higgs Branches
G. Moore, N. Nekrasov, and S. Shatashvili · 2006
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Invariants of algebraic curves and topological expansion
B. Eynard and N. Orantin · 2007
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Large spin corrections in 𝒩 = 4 {\cal N}=4 SYM sl(2): still a linear integral equation
D. Bombardelli, D. Fioravanti, and M. Rossi · 2008
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A_N-1 conformal Toda field theory correlation functions from conformal N=2 SU(N) quiver gauge theories
N. Wyllard · 2009
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Toda Theories, Matrix Models, Topological Strings, and N=2 Gauge Systems
R. Dijkgraaf and C. Vafa · 2009
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Genus-one correction to asymptotically free Seiberg-Witten prepotential from Dijkgraaf-Vafa matrix model
M. Fujita, Y. Hatsuda, and Ta-Sheng Tai · 2009
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Quantization of Integrable Systems and Four Dimensional Gauge Theories
Quantum Hitchin Systems via beta-deformed Matrix Models
G. Bonelli, K. Maruyoshi, and A. Tanzini · 2011
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Deforming SW curve
R. Poghossian · 2011
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Gauge theories on Omega-backgrounds from non commutative Seiberg-Witten curves
F. Fucito, J. F. Morales, D. Ricci Pacifici, and R. Poghossian · 2011
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Nekrasov prepotential with fundamental matter from the quantum spin chain
Y. Zenkevich · 2011
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W(1+infinity) algebra as a symmetry behind AGT relation
S. Kanno, Y. Matsuo, and S. Shiba · 2011
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β \beta -deformed matrix model and Nekrasov partition function
T. Nishinaka and C. Rim · 2012
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N. Nekrasov and S. Shatashvili · 2009
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Seiberg-Witten theory and matrix models
A. Klemm and P. Sulkowski · 2009
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Matrix models for 2* theories
P. Sulkowski · 2009
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Liouville Correlation Functions from Four-dimensional Gauge Theories
L. Alday, D. Gaiotto, and Y. Tachikawa · 2010
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Conformal blocks as Dotsenko-Fateev Integral Discriminants
A. Mironov, A. Morozov, and Sh. Shakirov · 2010
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Method of Generating q-Expansion Coefficients for Conformal Block and N=2 Nekrasov Function by beta-Deformed Matrix Model
H. Itoyama and T. Oota · 2010
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The high spin expansion of twist sector dimensions: the planar N=4 super Yang-Mills theory
D. Fioravanti and M. Rossi · 2010
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Seiberg-Witten geometry of four dimensional N=2 quiver gauge theories
N. Nekrasov and V. Pestun · 2012
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Cherednik algebras, W algebras and the equivariant cohomology of the moduli space of instantons on 𝔸 2 \mathbb{A}^{2} , March 2012
O. Schiffmann and E. Vasserot · 2012
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Virasoro constraint for Nekrasov instanton partition function
S. Kanno, Y. Matsuo, and H. Zhang · 2012
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Finalizing the proof of AGT relations with the help of the generalized Jack polynomials, 2013
A. Morozov and A. Smirnov · 2013
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Genus one correction to Seiberg-Witten prepotential from β \beta -deformed matrix model
Jong-Hyun Baek · 2013
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Notes on Mayer Expansions and Matrix Models, 2013
J.-E. Bourgine · 2013
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Mayer-Cluster Expansion of Instanton Partition Functions and Thermodynamic Bethe Ansatz, 2013
C. Meneghelli and Gang Yang · 2013
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Large N techniques for Nekrasov partition functions and AGT conjecture
J.-E. Bourgine · 2013
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On a singular Fredholm-type integral equation arising in N=2 super Yang-Mills theories
F. Ferrari and M. Piatek · 2013
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Deformed Seiberg-Witten Curves for ADE Quivers, 2013
F. Fucito, J. F. Morales, and D. Ricci Pacifici · 2013
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Quantum geometry and quiver gauge theories, 2013
N. Nekrasov, V. Pestun, and S. Shatashvili · 2013
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Spectral Duality in Integrable Systems from AGT Conjecture
A. Mironov, A. Morozov, Y. Zenkevich, and A. Zotov · 2013
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Abstract loop equations, topological recursion, and applications, 2013
G. Borot, B. Eynard, and N. Orantin · 2013
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Extended Conformal Symmetry and Recursion Formulae for Nekrasov Partition Function, July 2013
S. Kanno, Y. Matsuo, and Hong Zhang · 2013
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