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1974
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1979
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2015

A 4D-2D equivalence for large-N Yang-Mills theory

Basar, Gokce, Cherman, Aleksey, Dienes, Keith R. et al.

Understand

General string-theoretic considerations suggest that four-dimensional large-N gauge theories should have dual descriptions in terms of two-dimensional conformal field theories.

However, for non-supersymmetric confining theories such as pure Yang-Mills theory, a long-standing challenge has been to explicitly show that such dual descriptions actually exist.
In this paper, we consider the large-N limit of four-dimensional pure Yang-Mills theory compactified on a three-sphere in the solvable limit where the sphere radius is small compared to the strong length scale, and demonstrate that the confined-phase spectrum of this gauge theory coincides with the spectrum of an irrational two-dimensional conformal field theory.

Built on

G. ’t Hooft, Nucl.Phys. B72
1974
Earlier work this paper cites.
E. Witten, Nucl. Phys. B160
1979
Earlier work this paper cites.
G. Anderson and G. W. Moore, Commun.Math.Phys. 117
1988
Earlier work this paper cites.
C. Vafa, Phys.Lett. B206
1988
Earlier work this paper cites.
J. L. Cardy, Nucl.Phys. B366
1991
Earlier work this paper cites.
V. Gurarie, Nucl.Phys. B410
1993
Earlier work this paper cites.
B. Sundborg, Nucl.Phys. B573
2000
Earlier work this paper cites.
A. M. Polyakov, Int.J.Mod.Phys. A17S1
2002
Earlier work this paper cites.

Similar

O. Aharony, J. Marsano, S. Minwalla, K. Papadodimas, and M. Van Raamsdonk, Adv.Theor.Math.Phys. 8
2004
Cited alongside, same era.
O. Aharony, J. Marsano, S. Minwalla, K. Papadodimas, and M. Van Raamsdonk, Phys.Rev. D71
2005
Cited alongside, same era.
N. Itzhaki and J. McGreevy, Phys. Rev. D71
2005
Cited alongside, same era.
L. F. Alday, D. Gaiotto, and Y. Tachikawa, Lett.Math.Phys. 91
Original
2010
Cited alongside, same era.
S. S. Razamat, JHEP 1210
Original
2012
Cited alongside, same era.
T. Creutzig and D. Ridout, J.Phys. A46
Original

Then

C. Closset, T. T. Dumitrescu, G. Festuccia, and Z. Komargodski, JHEP 01
Original
2014
Later among the works it cites.
L. Di Pietro and Z. Komargodski, JHEP 12
Original
2014
Later among the works it cites.
D. Ridout and S. Wood, Lett.Math.Phys. 105
Original
2015
Closest in time.
C. Cordova and S.-H. Shao, (2015), arXiv:1506.00265 [hep-th]
Original
2015
Closest in time.
C. Beem, M. Lemos, P. Liendo, W. Peelaers, L. Rastelli, et al. , Commun.Math.Phys. 336
Original
2015
Closest in time.

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2013

Cited alongside, same era.

M. R. Gaberdiel and R. Gopakumar, J.Phys. A46

Original

2013

Cited alongside, same era.

G. Basar, A. Cherman, K. R. Dienes, and D. A. McGady, in preparation (2015a)

Cited in the paper.

In YM theory the overall U ⁡ ( 1 ) U(1) in U ⁡ ( N ) U(N) decouples, so its contribution to the partition function factorizes

Cited in the paper.

G. Basar, A. Cherman, D. A. McGady, and M. Yamazaki, Phys. Rev. D91

Original

Cited in the paper.

G. Basar, A. Cherman, and D. A. McGady, JHEP 07

Original

Cited in the paper.

Supersymmetric theories on S 3 × S 1 S^{3}\times S^{1} are an exception: it has been shown that the coefficient of the T 3 T^{3} term in l o g ⁡ Z 4 D \mathop{log}\nolimits Z_{\rm 4D} vanishes at any N N if the compactification does not break supersymmetry [ 29 , *Assel:2015nca

Cited in the paper.

F. Nieri and S. Pasquetti, (2015), arXiv:1507.00261 [hep-th]

Original

2015

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B. Assel, D. Cassani, L. Di Pietro, Z. Komargodski, J. Lorenzen, and D. Martelli, JHEP 07

Original

2015

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