Fetching the paper…

Reading the bibliography…

Series Solution and Minimal Surfaces in AdS · Around

2009

Series Solution and Minimal Surfaces in AdS

Jevicki, Antal, Jin, Kewang

Original
PDF
Post on X

Understand

According to the Alday-Maldacena program the strong coupling limit of Super Yang-Mills scattering amplitudes is given by minimal area surfaces in AdS spacetime with a boundary consisting of a momentum space polygon.

The string equations in AdS systematically reduce to coupled Toda type equations whose Euclidean classical solutions are then of direct relevance.
While in the simplest case of AdS_3 exact solutions were known from earlier studies of the sinh-Gordon equation, there exist at present no similar exact forms for the generalized Toda equations related to AdS_d with d>=4.
In this paper we develop a series method for the solution to those equations and evaluate their contribution to the finite piece of the worldsheet area.

Built on

K. Pohlmeyer, Commun. Math. Phys. 46
1976
Earlier work this paper cites.
B. M. McCoy, C. A. Tracy and T. T. Wu, J. Math. Phys. 18
1977
Earlier work this paper cites.
N. S. Manton, Nucl. Phys. B 150
1979
Earlier work this paper cites.
E. F. Corrigan, D. B. Fairlie, R. G. Yates and P. Goddard, Commun. Math. Phys. 58
1982
Earlier work this paper cites.
H. J. de Vega and N. Sanchez, Phys. Rev. D 47
1993
Earlier work this paper cites.
A. B. Zamolodchikov, Nucl. Phys. B 432
1994
Earlier work this paper cites.
S. S. Gubser, I. R. Klebanov and A. M. Polyakov, Nucl. Phys. B 636
2002
Earlier work this paper cites.

Similar

A. A. Tseytlin, arXiv:hep-th/0311139. A. A. Tseytlin, arXiv:hep-th/0409296. J. Plefka, Living Rev. Rel. 8
2005
Cited alongside, same era.
Z. Bern, L. J. Dixon and V. A. Smirnov, Phys. Rev. D 72
2005
Cited alongside, same era.
N. Beisert, B. Eden and M. Staudacher, J. Stat. Mech. 0701
2007
Cited alongside, same era.
L. F. Alday and J. M. Maldacena, JHEP 0706
Original
2007
Cited alongside, same era.
M. Kruczenski, JHEP 0508
Original
2008
Cited alongside, same era.
C. Anastasiou, Z. Bern, L. J. Dixon and D. A. Kosower, Phys. Rev. Lett. 91
Original

Then

A. Jevicki, K. Jin, C. Kalousios and A. Volovich, JHEP 0803
Original
2008
Later among the works it cites.
N. Berkovits and J. Maldacena, JHEP 0809
Original
2008
Later among the works it cites.
B. M. Barbashov, V. V. Nesterenko and A. M. Chervyakov, Commun. Math. Phys. 84
Original
2008
Later among the works it cites.
L. F. Alday and R. Roiban, Phys. Rept. 468
Original
2009
Closest in time.
S. Dobashi, K. Ito and K. Iwasaki, JHEP 0807
Original
2009
Closest in time.

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

2008

Cited alongside, same era.

A. Mironov, A. Morozov and T. N. Tomaras, JHEP 0711

2008

Cited alongside, same era.

L. F. Alday and J. Maldacena, arXiv:0903.4707 [hep-th]. L. F. Alday and J. Maldacena, arXiv:0904.0663 [hep-th]

Cited in the paper.

D. Gaiotto, G. W. Moore and A. Neitzke, arXiv:0807.4723 [hep-th]. D. Gaiotto, G. W. Moore and A. Neitzke, arXiv:0907.3987 [hep-th]

Cited in the paper.

L. F. Alday, D. Gaiotto and J. Maldacena, arXiv:0911.4708 [hep-th]

Cited in the paper.

A. Jevicki and K. Jin, Int. J. Mod. Phys. A 23

2009

Closest in time.

H. Dorn, G. Jorjadze and S. Wuttke, arXiv:0903.0977 [hep-th]. K. Sakai and Y. Satoh, JHEP 0910

2009

Closest in time.