Integrable Amplitude Deformations for N=4 Super Yang-Mills and ABJM Theory

Bargheer, Till; Huang, Yu-tin; Loebbert, Florian; Yamazaki, Masahito

doi:10.1103/PhysRevD.91.026004

Integrable Amplitude Deformations for N=4 Super Yang-Mills and ABJM Theory

Till Bargheer
(
- Princeton, Inst. Advanced Study and
- DESY
)
,
Yu-tin Huang
(
- Princeton, Inst. Advanced Study and
- Taiwan, Natl. Taiwan U.
)
,
Florian Loebbert
(
- Princeton, Inst. Advanced Study and
- Humboldt U., Berlin
)
,
Masahito Yamazaki
(
- Princeton, Inst. Advanced Study and
- Tokyo U., IPMU
)

Jul 16, 2014

26 pages

Published in:

Phys.Rev.D 91 (2015) 2, 026004

Published: Jan 9, 2015

e-Print:

1407.4449 [hep-th]

DOI:

10.1103/PhysRevD.91.026004

Report number:

DESY-14-128,
IPMU-14-0157,
HU-EP-14-29

View in:

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Abstract: (APS)

We study Yangian-invariant deformations of scattering amplitudes in 4d N=4 super Yang-Mills theory and 3d N=6 Aharony-Bergman-Jafferis-Maldacena (ABJM) theory. In particular, we obtain the deformed Graßmannian integral for 4d N=4 supersymmetric Yang-Mills theory, both in momentum and momentum-twistor space. For 3d ABJM theory, we initiate the study of deformed scattering amplitudes. We investigate general deformations of on-shell diagrams, and find the deformed Graßmannian integral for this theory. We furthermore introduce the algebraic R-matrix construction of deformed Yangian invariants for ABJM theory.

Note:

39 pages, 9 figures; v2: references added, typos fixed, section 3.4 improved, published version

11.15.-q
12.60.Jv
11.25.Tq
supersymmetry: 4
deformation
ABJM model
scattering amplitude
R-matrix
Yangian
Yang-Mills: supersymmetry

References(54)

Figures(0)

[1]

Scattering Amplitudes

Henriette Elvang
(
- Michigan U., MCTP
)
,
Yu-tin Huang
(
- Michigan U., MCTP
)

e-Print:
- 1308.1697

[2]

N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals

Ofer Aharony
(
- Weizmann Inst.
)
,
Oren Bergman
(
- Princeton, Inst. Advanced Study and
- Technion
)
,
Daniel Louis Jafferis
(
- Rutgers U., Piscataway
)
,
Juan Maldacena
(
- Princeton, Inst. Advanced Study
)

- JHEP 10 (2008) 091
•
e-Print:
- 0806.1218
•
DOI:
- 10.1088/1126-6708/2008/10/091

[2]

N=5,6 Superconformal Chern-Simons Theories and M2-branes on Orbifolds

Kazuo Hosomichi
(
- Korea Inst. Advanced Study, Seoul
)
,
Ki-Myeong Lee
(
- Korea Inst. Advanced Study, Seoul
)
,
Sangmin Lee
(
- Seoul Natl. U.
)
,
Sungjay Lee
(
- Korea Inst. Advanced Study, Seoul and
- Seoul Natl. U.
)
,
Jaemo Park
(
- POSTECH and
- Stanford U., Phys. Dept.
)

- JHEP 09 (2008) 002
•
e-Print:
- 0806.4977
•
DOI:
- 10.1088/1126-6708/2008/09/002

[3]

Yangian symmetry of scattering amplitudes in N=4 super Yang-Mills theory

James M. Drummond
(
- Annecy, LAPTH
)
,
Johannes M. Henn
(
- Humboldt U., Berlin
)
,
Jan Plefka
(
- Humboldt U., Berlin
)

- JHEP 05 (2009) 046
•
e-Print:
- 0902.2987
•
DOI:
- 10.1088/1126-6708/2009/05/046

[4]

Exacting N=4 Superconformal Symmetry

- JHEP 11 (2009) 056
•
e-Print:
- 0905.3738
•
DOI:
- 10.1088/1126-6708/2009/11/056

[5]

Symmetries and analytic properties of scattering amplitudes in N=4 SYM theory

G.P. Korchemsky
(
- Saclay, SPhT
)
,
E. Sokatchev
(
- Annecy, LAPTH
)

- Nucl.Phys.B 832 (2010) 1-51
•
e-Print:
- 0906.1737
•
DOI:
- 10.1016/j.nuclphysb.2010.01.022

[6]

From Scattering Amplitudes to the Dilatation Generator in N=4 SYM

Benjamin I. Zwiebel
(
- Caltech
)

- J.Phys.A 45 (2012) 115401
•
e-Print:
- 1111.0083
•
DOI:
- 10.1088/1751-8113/45/11/115401

[7]

Harmonic R-matrices for Scattering Amplitudes and Spectral Regularization

Livia Ferro
(
- Humboldt U., Berlin
)
,
Tomasz Lukowski
(
- Humboldt U., Berlin and
- Humboldt U., Berlin, Inst. Math.
)
,
Carlo Meneghelli
(
- Hamburg U., Dept. Math. and
- DESY
)
,
Jan Plefka
(
- Humboldt U., Berlin
)
,
Matthias Staudacher
(
)

- Phys.Rev.Lett. 110 (2013) 12, 121602
•
e-Print:
- 1212.0850
•
DOI:
- 10.1103/PhysRevLett.110.121602

[8]

Spectral Parameters for Scattering Amplitudes in N=4 Super Yang-Mills Theory

Livia Ferro
(
- Humboldt U., Berlin
)
,
Tomasz Łukowski
(
- Humboldt U., Berlin
)
,
Carlo Meneghelli
(
- Hamburg U., Dept. Math. and
- DESY
)
,
Jan Plefka
(
- Humboldt U., Berlin
)
,
Matthias Staudacher
(
- Humboldt U., Berlin and
- Potsdam, Max Planck Inst.
)

- JHEP 01 (2014) 094
•
e-Print:
- 1308.3494
•
DOI:
- 10.1007/JHEP01(2014)094

[9]

Grassmannian Geometry of Scattering Amplitudes

et al.

•
e-Print:
- 1212.5605
•
DOI:
- 10.1017/CBO9781316091548

[10]

On Yangian-invariant regularization of deformed on-shell diagrams in $\mathcal{N}=4$ super-Yang-Mills theory

- J.Phys.A 47 (2014) 365402
•
e-Print:
- 1401.7274
•
DOI:
- 10.1088/1751-8113/47/36/365402

[11]

Yang-Baxter operators and scattering amplitudes in N=4 super-Yang-Mills theory

- Nucl.Phys.B 881 (2014) 467-501
•
e-Print:
- 1309.5748
•
DOI:
- 10.1016/j.nuclphysb.2014.02.016

[12]

Bethe Ansatz for Yangian Invariants: Towards Super Yang-Mills Scattering Amplitudes

- Nucl.Phys.B 883 (2014) 373-424
•
e-Print:
- 1312.1693
•
DOI:
- 10.1016/j.nuclphysb.2014.03.015

[12]

A shortcut to general tree-level scattering amplitudes in $\mathcal{N} = 4$ SYM via integrability

- Fortsch.Phys. 62 (2014) 556-572
•
e-Print:
- 1403.3382
•
DOI:
- 10.1002/prop.201400017

[12]

A dictionary between R-operators, on-shell graphs and Yangian algebras

- JHEP 06 (2014) 170
•
e-Print:
- 1403.3670
•
DOI:
- 10.1007/JHEP06(2014)170

[13]

Deformed one-loop amplitudes in $\mathcal{N}=4$ super-Yang-Mills theory

- JHEP 11 (2014) 091
•
e-Print:
- 1406.4024
•
DOI:
- 10.1007/JHEP11(2014)091

[14]

New recursion relations for tree amplitudes of gluons

- Nucl.Phys.B 715 (2005) 499-522
•
e-Print:
- hep-th/0412308
•
DOI:
- 10.1016/j.nuclphysb.2005.02.030

[14]

Direct proof of tree-level recursion relation in Yang-Mills theory

- Phys.Rev.Lett. 94 (2005) 181602
•
e-Print:
- hep-th/0501052
•
DOI:
- 10.1103/PhysRevLett.94.181602

[15]

A Duality For The S Matrix

- JHEP 03 (2010) 020
•
e-Print:
- 0907.5418
•
DOI:
- 10.1007/JHEP03(2010)020

[16]

ABJM amplitudes and the positive orthogonal grassmannian

- JHEP 02 (2014) 104
•
e-Print:
- 1309.3252
•
DOI:
- 10.1007/JHEP02(2014)104

[17]

Yangian Invariant Scattering Amplitudes in Supersymmetric Chern-Simons Theory

Sangmin Lee
(
- Seoul U.
)

- Phys.Rev.Lett. 105 (2010) 151603
•
e-Print:
- 1007.4772
•
DOI:
- 10.1103/PhysRevLett.105.151603

[18]

Symmetries of Tree-level Scattering Amplitudes in N=6 Superconformal Chern-Simons Theory

- Phys.Rev.D 82 (2010) 045016
•
e-Print:
- 1003.6120
•
DOI:
- 10.1103/PhysRevD.82.045016

[19]

On Yangian Symmetry in Planar N=4 SYM

Niklas Beisert
(
- Potsdam, Max Planck Inst.
)

- In *Diakonov, D. (ed.): Subtleties in quantum field theory* 175-203,
- In *Trieste 2010, Gribov-80 Memorial Volume* 413-438
•
e-Print:
- 1004.5423
•
DOI:
- 10.1142/9789814350198_0039

[20]

An Introduction to Yangian Symmetries

Denis Bernard
(
- Saclay
)

- Int.J.Mod.Phys.B 7 (1993) 3517-3530,
- Como ARW QFT 1992:39-52
•
e-Print:
- hep-th/9211133
•
DOI:
- 10.1142/S0217979293003371

[20]

Introduction to Yangian symmetry in integrable field theory

N.J. MacKay
(
- York U., England, Dept. Math.
)

- Int.J.Mod.Phys.A 20 (2005) 7189-7218
•
e-Print:
- hep-th/0409183
•
DOI:
- 10.1142/S0217751X05022317

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