Fetching the paper…

Reading the bibliography…

A New 2d/4d Duality via Integrability · Around

2011

A New 2d/4d Duality via Integrability

Chen, Heng-Yu, Dorey, Nick, Hollowood, Timothy J. et al.

Original
PDF
Post on X

Understand

We prove a duality, recently conjectured in arXiv:1103.5726, which relates the F-terms of supersymmetric gauge theories defined in two and four dimensions respectively.

The proof proceeds by a saddle point analysis of the four-dimensional partition function in the Nekrasov-Shatashvili limit.
At special quantized values of the Coulomb branch moduli, the saddle point condition becomes the Bethe Ansatz Equation of the SL(2) Heisenberg spin chain which coincides with the F-term equation of the dual two-dimensional theory.
The on-shell values of the superpotential in the two theories are shown to coincide in corresponding vacua.

Built on

C. -N. Yang, C. P. Yang, “ Thermodynamics of One-Dimensional System of Bosons with Repulsive Delta Function Interaction
1969
Earlier work this paper cites.
S. Cecotti, C. Vafa, “ On Classification of N=2 Supersymmetric Theories
1993
Earlier work this paper cites.
N. Seiberg, E. Witten, “ Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
1994
Earlier work this paper cites.
A. Hanany, Y. Oz, “ On the Quantum Moduli Space of Vacua of N=2 Supersymmetric SU(N(c)) Gauge Theories
1995
Earlier work this paper cites.

Similar

N. Dorey, V. V. Khoze, M. P. Mattis, “ On N=2 Supersymmetric QCD with Four Flavors
Original
1997
Cited alongside, same era.
N. Dorey, “ The BPS Spectra of Two-Dimensional Supersymmetric Gauge Theories with Twisted Mass Terms
1998
Cited alongside, same era.
N. Dorey, T. J. Hollowood, D. Tong, “ The BPS Spectra of Gauge Theories in Two-Dimensions and Four-Dimensions
1999
Cited alongside, same era.
N. A. Nekrasov, “ Seiberg-Witten Prepotential from Instanton Counting
2004
Cited alongside, same era.
N. Dorey, T. J. Hollowood, S. Lee, “ Quantization of Integrable Systems and a 2d/4d Duality
Original
Cited in the paper.
N. A. Nekrasov, S. L. Shatashvili, “ Quantization of Integrable Systems and Four Dimensional Gauge Theories
Original
Cited in the paper.
N. Nekrasov and A. Okounkov, “ Seiberg-Witten Theory and Random Partitions
Cited in the paper.
F. Fucito, J. F. Morales, R. Poghossian and D. R. Pacifici, “ Gauge Theories on Ω \Omega -backgrounds from Non Commutative Seiberg-Witten Curves
Original
Cited in the paper.
R. Poghossian, “ Deforming SW Curve
Original
Cited in the paper.

Then

S. Lee, P. Yi, “ A Study of Wall-Crossing: Flavored Kinks in D=2 QED
Original
2010
Later among the works it cites.
L. F. Alday, D. Gaiotto, Y. Tachikawa, “ Liouville Correlation Functions from Four-dimensional Gauge Theories
Original
2010
Later among the works it cites.
K. Maruyoshi, M. Taki, “ Deformed Prepotential, Quantum Integrable System and Liouville Field Theory
Original
2010
Later among the works it cites.
D. Orlando, S. Reffert, “ Relating Gauge Theories via Gauge/Bethe Correspondence
Original
2010
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…