Off-Shell Color-Kinematics Duality for Chern-Simons

Ben-Shahar, Maor; Johansson, Henrik

doi:10.48550/arxiv.2112.11452

Cited by 4 publications

(5 citation statements)

References 154 publications

(207 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Its generality, however, is far from understood. To what extent does it apply off-shell [5][6][7][8][9][10][11]? To curved geometries [12][13][14][15][16][17][18][19][20][21][22]?…”

mentioning

confidence: 99%

See 1 more Smart Citation

Non-perturbative Double Copy in Flatland

Cheung¹,

Mangan²,

Parra-Martinez³

et al. 2022

Preprint

View full text Add to dashboard Cite

We derive a non-perturbative, Lagrangian-level formulation of the double copy in two spacetime dimensions. Our results elucidate the field theoretic underpinnings of the double copy in a broad class of scalar theories which can include masses and higher-dimension operators. An immediate corollary is the amplitudes-level double copy at all orders in perturbation theory. Applied to certain integrable models, the double copy defines an isomorphism between Lax connections, Wilson lines, and infinite towers of conserved currents. We also implement the double copy at the level of non-perturbative classical solutions, both analytically and numerically, and present a stringy generalization.

show abstract

“…Its generality, however, is far from understood. To what extent does it apply off-shell [5][6][7][8][9][10][11]? To curved geometries [12][13][14][15][16][17][18][19][20][21][22]?…”

mentioning

confidence: 99%

“…Remarkably, Chern-Simons theory automatically manifests offshell, Lagrangian-level color-kinematics duality[9].…”

mentioning

confidence: 99%

Non-perturbative Double Copy in Flatland

Cheung¹,

Mangan²,

Parra-Martinez³

et al. 2022

Preprint

View full text Add to dashboard Cite

show abstract

“…Similar algebras corresponding to volume-preserving diffeomorphisms have previously appeared as the kinematic algebras within double copy constructions [31][32][33]. In our case, instead of encoding the momentum dependence of the amplitude, they encode the coupling strength between different massive states.…”

Section: Jhep08(2022)098mentioning

confidence: 73%

Double copy for massive scalar field theories

González

Liang

Trodden

2022

J. High Energ. Phys.

View full text Add to dashboard Cite

We explore extensions of the double copy to massive theories and find a new cubic theory with a local double copy. We consider the nonlinear sigma model and the special galileon theory, massless versions of which are known to be related through the double copy. We show that by performing a Kaluza-Klein reduction of these theories from five dimensions down to four, a double copy relation exists between the resulting massive four-dimensional scalar field theories. This requires the vanishing contribution of new galileon terms arising in high dimensions. We further explore if other interactions that do not arise from a dimensional reduction of the nonlinear sigma model could be double copied and find a new cubic interaction which satisfies the BCJ relations up to 5-point amplitudes.

show abstract

“…Replacing now the full twisted colour-stripping by kinematic factors leads to the same double copy theory as that of ordinary Chern-Simons theory with itself [18]. This is a non-local theory of fields H μµ = A μ ⊗ A µ , with action functional…”

Section: Noncommutative Chern-simons Theorymentioning

confidence: 98%

Homotopy Double Copy of Noncommutative Gauge Theories

Szabo,

Trojani

2023

Symmetry

View full text Add to dashboard Cite

We discuss the double-copy formulation of Moyal–Weyl-type noncommutative gauge theories from the homotopy algebraic perspective of factorisations of L∞-algebras. We define new noncommutative scalar field theories with rigid colour symmetries taking the role of the zeroth copy, where the deformed colour algebra plays the role of a kinematic algebra; some of these theories have a trivial classical limit but exhibit colour–kinematics duality, from which we construct the double copy theory explicitly. We show that noncommutative gauge theories exhibit a twisted form of colour–kinematics duality, which we use to show that their double copies match with the commutative case. We illustrate this explicitly for Chern–Simons theory, and for Yang–Mills theory where we obtain a modified Kawai–Lewellen–Tye relationship whose momentum kernel is linked to a binoncommutative biadjoint scalar theory. We reinterpret rank-one noncommutative gauge theories as double copy theories and discuss how our findings tie in with recent discussions of Moyal–Weyl deformations of self–dual Yang–Mills theory and gravity.

show abstract

Off-Shell Color-Kinematics Duality for Chern-Simons

Cited by 4 publications

References 154 publications

Non-perturbative Double Copy in Flatland

Non-perturbative Double Copy in Flatland

Double copy for massive scalar field theories

Homotopy Double Copy of Noncommutative Gauge Theories

Contact Info

Product

Resources

About