Built on

D. J. Binder, S. M. Chester, S. S. Pufu and Y. Wang, 𝒩 = 4 \mathcal{N}=4 Super-Yang-Mills Correlators at Strong Coupling from String Theory and Localization , 1902.06263
Original
1902
Earlier work this paper cites.
D. Karateev, P. Kravchuk, M. Serone and A. Vichi, Fermion Conformal Bootstrap in 4d , JHEP 06
Original
1902
Earlier work this paper cites.
S. Giusto, R. Russo, A. Tyukov and C. Wen, Holographic correlators in AdS 3 without Witten diagrams , 1905.12314
Original
1905
Earlier work this paper cites.
L. Rastelli, K. Roumpedakis and X. Zhou, A d S 3 × S 3 AdS_{3}\times S^{3} Tree-Level Correlators: Hidden Six-Dimensional Conformal Symmetry , 1905.11983
Original
1905
Earlier work this paper cites.
D. J. Binder, S. M. Chester and S. S. Pufu, AdS 4 /CFT 3 from Weak to Strong String Coupling , 1906.07195
Original
1906
Earlier work this paper cites.
J. M. Drummond, D. Nandan, H. Paul and K. S. Rigatos, String corrections to AdS amplitudes and the double-trace spectrum of N N =4 SYM , 1907.00992
Original
1907
Earlier work this paper cites.
S. M. Chester, Genus-2 Holographic Correlator on A d S 5 × S 5 AdS_{5}\times S^{5} from Localization , 1908.05247
Original
1908
Earlier work this paper cites.
S. M. Chester, M. B. Green, S. S. Pufu, Y. Wang and C. Wen, Modular Invariance in Superstring Theory From 𝒩 = 4 {\cal N}=4 Super-Yang Mills , 1912.13365
Original
1912
Earlier work this paper cites.
L. F. Alday and X. Zhou, Simplicity of AdS Supergravity at One Loop , 1912.02663
Original
1912
Earlier work this paper cites.
J. M. Drummond and H. Paul, One-loop string corrections to AdS amplitudes from CFT , 1912.07632
Original
1912
Earlier work this paper cites.
F. Aprile, J. Drummond, P. Heslop and H. Paul, One-loop amplitudes in A d S 5 × S 5 AdS_{5}\times S^{5} supergravity from 𝒩 = 4 \mathcal{N}=4 SYM at strong coupling , 1912.01047
Original
1912
Earlier work this paper cites.
S. Ferrara, A. Grillo and R. Gatto, Tensor representations of conformal algebra and conformally covariant operator product expansion , Annals Phys. 76
1973
Earlier work this paper cites.
A. Polyakov, Nonhamiltonian approach to conformal quantum field theory , Zh.Eksp.Teor.Fiz. 66
1974
Earlier work this paper cites.
G. Mack, Duality in Quantum Field Theory , Nucl.Phys. B118
1977
Earlier work this paper cites.
W. Nahm, Supersymmetries and their Representations , Nucl. Phys. B 135
1978
Earlier work this paper cites.
H. Osborn and A. Petkou, Implications of conformal invariance in field theories for general dimensions , Annals Phys. 231
1994
Earlier work this paper cites.
E. Witten, Some comments on string dynamics , in STRINGS 95: Future Perspectives in String Theory , pp. 501–523, 7, 1995, hep-th/9507121
1995
Earlier work this paper cites.
N. Seiberg, Five-dimensional SUSY field theories, nontrivial fixed points and string dynamics , Phys. Lett. B 388
1996
Earlier work this paper cites.
M. B. Green, M. Gutperle and P. Vanhove, One loop in eleven-dimensions , Phys. Lett. B409
1997
Earlier work this paper cites.
J. G. Russo and A. A. Tseytlin, One loop four graviton amplitude in eleven-dimensional supergravity , Nucl. Phys. B508
1997
Earlier work this paper cites.
N. Seiberg, Notes on theories with 16 supercharges , Nucl. Phys. B Proc. Suppl. 67
1998
Earlier work this paper cites.
E. Witten, Baryons and branes in anti-de Sitter space , JHEP 07
1998
Earlier work this paper cites.
O. Aharony, Y. Oz and Z. Yin, M theory on AdS(p) x S(11-p) and superconformal field theories , Phys. Lett. B 430
1998
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar, M. Perelstein and J. S. Rozowsky, On the relationship between Yang-Mills theory and gravity and its implication for ultraviolet divergences , Nucl. Phys. B530
1998
Earlier work this paper cites.
J. M. Maldacena, The Large N N limit of superconformal field theories and supergravity , Int. J. Theor. Phys. 38
1999
Earlier work this paper cites.
K. A. Intriligator, Anomaly matching and a Hopf-Wess-Zumino term in 6d, N=(2,0) field theories , Nucl. Phys. B581
2000
Earlier work this paper cites.
B. Eden, A. C. Petkou, C. Schubert and E. Sokatchev, Partial nonrenormalization of the stress tensor four point function in 𝒩 = 4 {\cal N}=4 SYM and AdS / CFT , Nucl.Phys. B607
2001
Earlier work this paper cites.

Similar

G. Arutyunov and E. Sokatchev, Implications of superconformal symmetry for interacting (2,0) tensor multiplets , Nucl. Phys. B 635
2002
Cited alongside, same era.
F. Dolan and H. Osborn, Superconformal symmetry, correlation functions and the operator product expansion , Nucl.Phys. B629
2002
Cited alongside, same era.
A. Bissi, G. Fardelli and A. Georgoudis, Towards All Loop Supergravity Amplitudes on A d S 5 × S 5 AdS_{5}\times S^{5} , 2002.04604
Original
2002
Cited alongside, same era.
S. Ferrara and E. Sokatchev, Universal properties of superconformal OPEs for 1/2 BPS operators in 3 ≤ d ≤ 6 3\leq d\leq 6 , New J.Phys. 4
2002
Cited alongside, same era.
S. M. Chester and S. S. Pufu, Far Beyond the Planar Limit in Strongly-Coupled 𝒩 = 4 \mathcal{N}=4 SYM , 2003.08412
Original
2003

Then

K. Ohmori, H. Shimizu, Y. Tachikawa and K. Yonekura, Anomaly polynomial of general 6d SCFTs , PTEP 2014
Original
2014
Later among the works it cites.
S. M. Chester, J. Lee, S. S. Pufu and R. Yacoby, The 𝒩 = 8 \mathcal{N}=8 superconformal bootstrap in three dimensions , JHEP 09
Original
2014
Later among the works it cites.
S. El-Showk, M. F. Paulos, D. Poland, S. Rychkov, D. Simmons-Duffin and A. Vichi, Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents , J. Stat. Phys. 157
Original
2014
Later among the works it cites.
C. Beem, L. Rastelli and B. C. van Rees, 𝒲 \mathcal{W} symmetry in six dimensions , JHEP 05
Original
2015
Later among the works it cites.
V. Gonçalves, Four point function of 𝒩 = 4 \mathcal{N}=4 stress-tensor multiplet at strong coupling , JHEP 04

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2020

6d (2,0) and M-theory at 1-loop

Alday, Luis F., Chester, Shai M., Raj, Himanshu

Understand

We study the stress tensor multiplet four-point function in the 6d maximally supersymmetric $(2,0)$ $A_{N-1}$ and $D_N$ theories, which have no Lagrangian description, but in the large $N$ limit are holographically dual to weakly coupled M-theory on $AdS_7\times S^4$ and $AdS_7\times S^4/\mathbb{Z}_2$, respectively.

We use the analytic bootstrap to compute the 1-loop correction to this holographic correlator coming from Witten diagrams with supergravity $R$ and the first higher derivative correction $R^4$ vertices, which is the first 1-loop correction computed for a non-Lagrangian theory.
We then take the flat space limit and find precise agreement with the corresponding terms in the 11d M-theory S-matrix, some of which we compute for the first time using two-particle unitarity cuts.

Built on

D. J. Binder, S. M. Chester, S. S. Pufu and Y. Wang, 𝒩 = 4 \mathcal{N}=4 Super-Yang-Mills Correlators at Strong Coupling from String Theory and Localization , 1902.06263
Original
1902
Earlier work this paper cites.
D. Karateev, P. Kravchuk, M. Serone and A. Vichi, Fermion Conformal Bootstrap in 4d , JHEP 06
Original
1902
Earlier work this paper cites.
S. Giusto, R. Russo, A. Tyukov and C. Wen, Holographic correlators in AdS 3 without Witten diagrams , 1905.12314
Original
1905
Earlier work this paper cites.
L. Rastelli, K. Roumpedakis and X. Zhou, A d S 3 × S 3 AdS_{3}\times S^{3} Tree-Level Correlators: Hidden Six-Dimensional Conformal Symmetry , 1905.11983
Original
1905
Earlier work this paper cites.
D. J. Binder, S. M. Chester and S. S. Pufu, AdS 4 /CFT 3 from Weak to Strong String Coupling , 1906.07195
Original
1906
Earlier work this paper cites.
J. M. Drummond, D. Nandan, H. Paul and K. S. Rigatos, String corrections to AdS amplitudes and the double-trace spectrum of N N =4 SYM , 1907.00992
Original
1907
Earlier work this paper cites.
S. M. Chester, Genus-2 Holographic Correlator on A d S 5 × S 5 AdS_{5}\times S^{5} from Localization , 1908.05247
Original
1908
Earlier work this paper cites.
S. M. Chester, M. B. Green, S. S. Pufu, Y. Wang and C. Wen, Modular Invariance in Superstring Theory From 𝒩 = 4 {\cal N}=4 Super-Yang Mills , 1912.13365
Original
1912
Earlier work this paper cites.
L. F. Alday and X. Zhou, Simplicity of AdS Supergravity at One Loop , 1912.02663
Original
1912
Earlier work this paper cites.
J. M. Drummond and H. Paul, One-loop string corrections to AdS amplitudes from CFT , 1912.07632
Original
1912
Earlier work this paper cites.
F. Aprile, J. Drummond, P. Heslop and H. Paul, One-loop amplitudes in A d S 5 × S 5 AdS_{5}\times S^{5} supergravity from 𝒩 = 4 \mathcal{N}=4 SYM at strong coupling , 1912.01047
Original
1912
Earlier work this paper cites.
S. Ferrara, A. Grillo and R. Gatto, Tensor representations of conformal algebra and conformally covariant operator product expansion , Annals Phys. 76
1973
Earlier work this paper cites.
A. Polyakov, Nonhamiltonian approach to conformal quantum field theory , Zh.Eksp.Teor.Fiz. 66
1974
Earlier work this paper cites.
G. Mack, Duality in Quantum Field Theory , Nucl.Phys. B118
1977
Earlier work this paper cites.
W. Nahm, Supersymmetries and their Representations , Nucl. Phys. B 135
1978
Earlier work this paper cites.
H. Osborn and A. Petkou, Implications of conformal invariance in field theories for general dimensions , Annals Phys. 231
1994
Earlier work this paper cites.
E. Witten, Some comments on string dynamics , in STRINGS 95: Future Perspectives in String Theory , pp. 501–523, 7, 1995, hep-th/9507121
1995
Earlier work this paper cites.
N. Seiberg, Five-dimensional SUSY field theories, nontrivial fixed points and string dynamics , Phys. Lett. B 388
1996
Earlier work this paper cites.
M. B. Green, M. Gutperle and P. Vanhove, One loop in eleven-dimensions , Phys. Lett. B409
1997
Earlier work this paper cites.
J. G. Russo and A. A. Tseytlin, One loop four graviton amplitude in eleven-dimensional supergravity , Nucl. Phys. B508
1997
Earlier work this paper cites.
N. Seiberg, Notes on theories with 16 supercharges , Nucl. Phys. B Proc. Suppl. 67
1998
Earlier work this paper cites.
E. Witten, Baryons and branes in anti-de Sitter space , JHEP 07
1998
Earlier work this paper cites.
O. Aharony, Y. Oz and Z. Yin, M theory on AdS(p) x S(11-p) and superconformal field theories , Phys. Lett. B 430
1998
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar, M. Perelstein and J. S. Rozowsky, On the relationship between Yang-Mills theory and gravity and its implication for ultraviolet divergences , Nucl. Phys. B530
1998
Earlier work this paper cites.
J. M. Maldacena, The Large N N limit of superconformal field theories and supergravity , Int. J. Theor. Phys. 38
1999
Earlier work this paper cites.
K. A. Intriligator, Anomaly matching and a Hopf-Wess-Zumino term in 6d, N=(2,0) field theories , Nucl. Phys. B581
2000
Earlier work this paper cites.
B. Eden, A. C. Petkou, C. Schubert and E. Sokatchev, Partial nonrenormalization of the stress tensor four point function in 𝒩 = 4 {\cal N}=4 SYM and AdS / CFT , Nucl.Phys. B607
2001
Earlier work this paper cites.

Similar

G. Arutyunov and E. Sokatchev, Implications of superconformal symmetry for interacting (2,0) tensor multiplets , Nucl. Phys. B 635
2002
Cited alongside, same era.
F. Dolan and H. Osborn, Superconformal symmetry, correlation functions and the operator product expansion , Nucl.Phys. B629
2002
Cited alongside, same era.
A. Bissi, G. Fardelli and A. Georgoudis, Towards All Loop Supergravity Amplitudes on A d S 5 × S 5 AdS_{5}\times S^{5} , 2002.04604
Original
2002
Cited alongside, same era.
S. Ferrara and E. Sokatchev, Universal properties of superconformal OPEs for 1/2 BPS operators in 3 ≤ d ≤ 6 3\leq d\leq 6 , New J.Phys. 4
2002
Cited alongside, same era.
S. M. Chester and S. S. Pufu, Far Beyond the Planar Limit in Strongly-Coupled 𝒩 = 4 \mathcal{N}=4 SYM , 2003.08412
Original
2003

Then

K. Ohmori, H. Shimizu, Y. Tachikawa and K. Yonekura, Anomaly polynomial of general 6d SCFTs , PTEP 2014
Original
2014
Later among the works it cites.
S. M. Chester, J. Lee, S. S. Pufu and R. Yacoby, The 𝒩 = 8 \mathcal{N}=8 superconformal bootstrap in three dimensions , JHEP 09
Original
2014
Later among the works it cites.
S. El-Showk, M. F. Paulos, D. Poland, S. Rychkov, D. Simmons-Duffin and A. Vichi, Solving the 3d Ising Model with the Conformal Bootstrap II. c-Minimization and Precise Critical Exponents , J. Stat. Phys. 157
Original
2014
Later among the works it cites.
C. Beem, L. Rastelli and B. C. van Rees, 𝒲 \mathcal{W} symmetry in six dimensions , JHEP 05
Original
2015
Later among the works it cites.
V. Gonçalves, Four point function of 𝒩 = 4 \mathcal{N}=4 stress-tensor multiplet at strong coupling , JHEP 04

Beyond the bibliography

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

Open on alphaXiv

alphaXiv is searching for related work…

Cited alongside, same era.

P. Heslop, Aspects of superconformal field theories in six dimensions , JHEP 07

2004

Cited alongside, same era.

F. A. Dolan, L. Gallot and E. Sokatchev, On four-point functions of 1/2-BPS operators in general dimensions , JHEP 0409

2004

Cited alongside, same era.

J. Drummond, H. Paul and M. Santagata, Bootstrapping string theory on AdS 5 × S 5 {}_{5}\times S^{5} , 2004.07282