Fetching the paper…

Reading the bibliography…

2016

Higher-loop amplitude monodromy relations in string and gauge theory

Tourkine, Piotr, Vanhove, Pierre

Original
PDF
Post on X

Understand

The monodromy relations in string theory provide a powerful and elegant formalism to understand some of the deepest properties of tree-level field theory amplitudes, like the color-kinematics duality.

This duality has been instrumental in tremendous progress on the computations of loop amplitudes in quantum field theory, but a higher-loop generalisation of the monodromy construction was lacking.
In this letter, we extend the monodromy relations to higher loops in open string theory.
Our construction, based on a contour deformation argument inside open string diagrams, leads to new identities that relate planar and non-planar topologies in string theory.

Higher-loop amplitude monodromy relations in string and gauge theory · Around

Built on

N. Berkovits, M. B. Green, J. G. Russo, and P. Vanhove, JHEP 11
Original
1923
Earlier work this paper cites.
M. B. Green and J. H. Schwarz, Nucl. Phys. B198
1982
Earlier work this paper cites.
M. B. Green, J. H. Schwarz, and L. Brink, Nucl. Phys. B198
1982
Earlier work this paper cites.
M. B. Green, J. H. Schwarz, and E. Witten, Superstring Theory. Vol. 2: Loop Amplitudes, Anomalies and Phenomenology (1988)
1988
Earlier work this paper cites.
E. D’Hoker and D. H. Phong, Rev. Mod. Phys. 60
1988
Earlier work this paper cites.
Z. Bern, Phys. Lett. B296
1992
Earlier work this paper cites.
Z. Bern and D. A. Kosower, Nucl. Phys. B379
1992
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar, and D. A. Kosower, Nucl. Phys. B425
1994
Earlier work this paper cites.
Z. Bern, J. S. Rozowsky, and B. Yan, Phys. Lett. B401
1997
Earlier work this paper cites.
Z. Bern, L. J. Dixon, D. C. Dunbar, M. Perelstein, and J. S. Rozowsky, Nucl. Phys. B530
1998
Earlier work this paper cites.
M. B. Green and P. Vanhove, Phys. Rev. D61
2000
Earlier work this paper cites.
P. Dai and W. Siegel, Nucl. Phys. B770
2007
Earlier work this paper cites.

Similar

Z. Bern, J. J. M. Carrasco, and H. Johansson, Phys. Rev. D78
Original
2008
Cited alongside, same era.
N. E. J. Bjerrum-Bohr, P. H. Damgaard, and P. Vanhove, Phys. Rev. Lett. 103
Original
2009
Cited alongside, same era.
S. Stieberger, (2009), arXiv:0907.2211 [hep-th]
Original
2009
Cited alongside, same era.
C. R. Mafra, O. Schlotterer, and S. Stieberger, JHEP 07
Original
2011
Cited alongside, same era.
J. J. M. Carrasco and H. Johansson, J. Phys. A44
Original
2011
Cited alongside, same era.

Then

J. Nohle, Phys. Rev. D90
Original
2014
Later among the works it cites.
Z. Bern, S. Davies, T. Dennen, Y.-t. Huang, and J. Nohle, Phys. Rev. D92
Original
2015
Later among the works it cites.
S. Badger, G. Mogull, A. Ochirov, and D. O’Connell, JHEP 10
Original
2015
Later among the works it cites.
C. R. Mafra and O. Schlotterer, JHEP 10
Original
2015
Later among the works it cites.
Y. Geyer, L. Mason, R. Monteiro, and P. Tourkine, Phys. Rev. Lett. 115
Original
2015
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…

B. Feng, R. Huang, and Y. Jia, Phys. Lett. B695

2011

Cited alongside, same era.

B. Feng, Y. Jia, and R. Huang, Nucl. Phys. B854

2012

Cited alongside, same era.

S. G. Naculich, Phys. Lett. B707

2012

Cited alongside, same era.

P. Tourkine and P. Vanhove, Class. Quant. Grav. 29

2012

Cited alongside, same era.

E. Witten, (2012), arXiv:1209.5461 [hep-th]

2012

Cited alongside, same era.

R. H. Boels, B. A. Kniehl, O. V. Tarasov, and G. Yang, JHEP 02

2013

Cited alongside, same era.

Y.-J. Du and H. Luo, JHEP 01

2013

Cited alongside, same era.

L. de la Cruz, A. Kniss, and S. Weinzierl, JHEP 09

2015

Later among the works it cites.

D. Chester, Phys. Rev. D93

2016

Closest in time.

A. Primo and W. J. Torres Bobadilla, JHEP 04

2016

Closest in time.

H. Johansson and A. Ochirov, JHEP 01

2016

Closest in time.

S. He, R. Monteiro, and O. Schlotterer, JHEP 01

2016

Closest in time.

A. Ochirov, P. Tourkine, and P. Vanhove, (2017), arXiv:1707.05775 [hep-th]

2017

Closest in time.