Gauging the diamond: integrable coset models from twistor space - INSPIRE

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Gauging the diamond: integrable coset models from twistor space

Lewis T. Cole
(
- Swansea U.
)
,
Ryan A. Cullinan
(
- Durham U., Dept. of Math.
)
,
Ben Hoare
(
- Durham U., Dept. of Math.
)
,
Joaquin Liniado
(
- La Plata U.
)
,
Daniel C. Thompson
(
- Swansea U. and
- Vrije U., Brussels and
- Intl. Solvay Inst., Brussels
)

Jul 12, 2024

44 pages

Published in:

JHEP 12 (2024) 202

Published: Dec 27, 2024

e-Print:

2407.09479 [hep-th]

DOI:

10.1007/JHEP12(2024)202

View in:

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Abstract: (Springer)

Recent work has shown that certain integrable and conformal field theories in two dimensions can be given a higher-dimensional origin from holomorphic Chern-Simons in six dimensions. Along with anti-self-dual Yang-Mills and four-dimensional Chern-Simons, this gives rise to a diamond correspondence of theories. In this work we extend this framework to incorporate models realised through gaugings. As well as describing a higher-dimensional origin of coset CFTs, by choosing the details of the reduction from higher dimensions, we obtain rich classes of two-dimensional integrable models including homogeneous sine-Gordon models and generalisations that are new to the literature.

Note:

44 pages

Chern-Simons Theories
Integrable Field Theories

References(58)

Figures(0)

Integrable and solvable systems, and relations among them

R.S. Ward
(
- Durham U.
)

- Phil.Trans.Roy.Soc.Lond.A 315 (1985) 451-457
•
DOI:
- 10.1098/rsta.1985.0051

[2]

Construction of Instantons

M.F. Atiyah
(
- Oxford U.
)
,
Nigel J. Hitchin
(
- Oxford U.
)
,
V.G. Drinfeld
(
- Steklov Math. Inst., Moscow
)
,
Yu.I. Manin
(
- Steklov Math. Inst., Moscow
)

- Phys.Lett.A 65 (1978) 185-187,
- Reprinted in *Rebbi, C. (ed.), Soliani, G. (ed.): Solitons and Particles*, 808-810, and in *Atiyah, M.: Collected works, vol. 5* 23-25,
•
DOI:
- 10.1016/0375-9601(78)90141-X

DOI:
- 10.1093/oso/9780198534983.001.0001

ANTI SELF-DUAL YANG-MILLS CONNECTIONS OVER COMPLEX ALGEBRAIC SURFACES AND STABLE VECTOR BUNDLES

S.K. Donaldson

- Proc.Lond.Math.Soc. 50 (1985) 1-26
•
DOI:
- 10.1112/plms/s3-50.1.1

[5]

A Kahler-{Chern-Simons} Theory and Quantization of Instanton Moduli Spaces

V.P. Nair
(
- Columbia U.
)
,
Jeremy Schiff
(
- Columbia U.
)

- Phys.Lett.B 246 (1990) 423-429
•
DOI:
- 10.1016/0370-2693(90)90624-F

[6]

Kahler Chern-Simons theory and symmetries of antiselfdual gauge fields

V.P. Nair
(
- Columbia U.
)
,
Jeremy Schiff
(
- Columbia U.
)

- Nucl.Phys.B 371 (1992) 329-352,
- Nucl. Phys. B371 (1992) 329-352 and Columbia Univ. New York - CU-TP-521 (91/05,rec.Jul.) 28 p
•
DOI:
- 10.1016/0550-3213(92)90239-8

[7]

Four-dimensional avatars of two-dimensional RCFT

- Nucl.Phys.B Proc.Suppl. 46 (1996) 130-145,
- Nucl. Phys. B, Proc. Suppl. 46 (1996) 130-145. In *Trieste 1995, Proceedings, S-duality and mirror symmetry* 130-145, and Princeton U. - PUPT-1564 (95/09,rec.Oct.) 26 p. Yale U. New Haven - YCTP-P15-95 (95/09,rec.Oct.) 26 p,
•
e-Print:
- hep-th/9509151
•
DOI:
- 10.1016/0920-5632(96)00015-1

[8]

Deformation of Algebras and Solution of Selfduality Equation

A.N. Leznov
(
- Serpukhov, IHEP
)
,
M.A. Mukhtarov
(
- Serpukhov, IHEP
)

- J.Math.Phys. 28 (1987) 2574-2578,
- Serpukhov Inst. High Energy Phys. - 86-191 (86,REC.FEB.87) 14p,
- J. MATH. PHYS. 28 (1987) 2574-2578 AND SERPUKHOV INST. HIGH ENERGY PHYS. - 86-191 (86,REC.FEB.87) 14 P. (702435)
•
DOI:
- 10.1063/1.527748

[9]

A Cubic action for selfdual Yang-Mills

Andrew Parkes
(
- Zurich, ETH
)

- Phys.Lett.B 286 (1992) 265-270
•
e-Print:
- hep-th/9203074
•
DOI:
- 10.1016/0370-2693(92)91773-3

[10]

Gauge Theories and Integrable Lattice Models

Edward Witten
(
- Princeton, Inst. Advanced Study
)

- Nucl.Phys.B 322 (1989) 629-697
•
DOI:
- 10.1016/0550-3213(89)90232-0

Supersymmetric gauge theory and the Yangian

Kevin Costello
(
- Northwestern U.
)

e-Print:
- 1303.2632

[12]

Integrable lattice models from four-dimensional field theories

Kevin Costello
(
- Northwestern U. (main)
)

- Proc.Symp.Pure Math. 88 (2014) 3-24
•
e-Print:
- 1308.0370
•
DOI:
- 10.1090/pspum/088/01483

[13]

Feynman diagrams in four-dimensional holomorphic theories and the Operatope

Kasia Budzik
(
- Perimeter Inst. Theor. Phys. and
- Waterloo U.
)
,
Davide Gaiotto
(
- Perimeter Inst. Theor. Phys.
)
,
Justin Kulp
(
- Perimeter Inst. Theor. Phys. and
- Waterloo U.
)
,
Jingxiang Wu
(
- Oxford U., Inst. Math.
)
,
Matthew Yu
(
- Perimeter Inst. Theor. Phys. and
- Waterloo U.
)

- JHEP 07 (2023) 127
•
e-Print:
- 2207.14321
•
DOI:
- 10.1007/JHEP07(2023)127

Gauge Theory and Integrability, I

- ICCM Not. 06 (2018) 1, 46-119
•
e-Print:
- 1709.09993
•
DOI:
- 10.4310/ICCM.2018.v6.n1.a6

Gauge Theory and Integrability, II

- ICCM Not. 06 (2018) 1, 120-146
•
e-Print:
- 1802.01579
•
DOI:
- 10.4310/ICCM.2018.v6.n1.a7

Gauge Theory And Integrability, III

e-Print:
- 1908.02289

Four-dimensional Chern–Simons theory and integrable field theories

Sylvain Lacroix
(
)

- J.Phys.A 55 (2022) 8, 083001
•
e-Print:
- 2109.14278
•
DOI:
- 10.1088/1751-8121/ac48ed

[18]

Twistors, the ASD Yang-Mills equations and 4d Chern-Simons theory

- JHEP 02 (2023) 227
•
e-Print:
- 2011.04638
•
DOI:
- 10.1007/JHEP02(2023)227

[19]

Topological strings, twistors and skyrmions, talk at Western Hemisphere Colloquium on Geometry and Physics (WHCGP) April 27

K. Costello

Quantizing local holomorphic field theories on twistor space

Kevin J. Costello
(
- Perimeter Inst. Theor. Phys.
)

e-Print:
- 2111.08879

Twistor algebra

R. Penrose

- J.Math.Phys. 8 (1967) 345
•
DOI:
- 10.1063/1.1705200

[22]

Quantizing the Non-linear Graviton

- Commun.Math.Phys. 403 (2023) 3, 1543-1609,
- CIMP 403 (2023) 1543
•
e-Print:
- 2208.12701
•
DOI:
- 10.1007/s00220-023-04828-0

[23]

Twistor Actions for Integrable Systems

Robert F. Penna
(
- Princeton, Inst. Advanced Study
)

- JHEP 09 (2021) 140
•
e-Print:
- 2011.05831
•
DOI:
- 10.1007/JHEP09(2021)140

[24]

Integrable deformations from twistor space

Lewis T. Cole
(
- Swansea U.
)
,
Ryan A. Cullinan
(
- Durham U., Dept. of Math.
)
,
Ben Hoare
(
- Durham U., Dept. of Math.
)
,
Joaquin Liniado
(
- La Plata U.
)
,
Daniel C. Thompson
(
- Swansea U. and
- Vrije U., Brussels and
- Intl. Solvay Inst., Brussels
)

- SciPost Phys. 17 (2024) 1, 008,
- SciPost Phys. 17 (2024) 008
•
e-Print:
- 2311.17551
•
DOI:
- 10.21468/SciPostPhys.17.1.008

Virasoro Algebras and Coset Space Models

P. Goddard
(
- Cambridge U.
)
,
A. Kent
(
- Cambridge U.
)
,
David I. Olive
(
- Imperial Coll., London
)

- Phys.Lett.B 152 (1985) 88-92
•
DOI:
- 10.1016/0370-2693(85)91145-1

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