One-loop corrections to the celestial chiral algebra from Koszul Duality

Fernández, Víctor E.

doi:10.1007/jhep04(2023)124

Cited by 3 publications

(4 citation statements)

References 13 publications

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“…Consequently, we should not expect the 3d theory obtained by reduction from 6d to describe the corresponding 4d self-dual gauge theory beyond tree-level computations. As shown in [10], it is possible to remedy this anomaly via a Green-Schwarz-like mechanism for certain special choices of gauge Lie algebra g. In particular, when the gauge Lie algebra is sl(2), sl(3), so (8), or an exceptional algebra one can introduce a Kodera-Spencer-like field (and its BV partners) η ∈ Ω (2,•) (PT) satisfying ∂η = 0 with full 6d action…”

Section: Anomaly On Ptmentioning

confidence: 99%

“…For twistorial theories, one can also characterize celestial chiral algebras at the quantum level [7][8][9]. It would be interesting to explore quantum deformations of the full nonperturbative chiral algebras (i.e.…”

Section: Jhep08(2023)088mentioning

confidence: 99%

“…The impact of quantum corrections on these classical chiral algebras, and their fourdimensional origin, has been recently explored by several groups, e.g. [3][4][5][6][7][8][9]. It was observed in [7] that in a formulation of self-dual Yang Mills (SDYM) theory, the chiral algebra of asymptotic symmetries, when deformed to include the theory's one-loop collinear splitting amplitude, failed to be associative.…”

Section: Introductionmentioning

confidence: 99%

“…Such an obstruction manifests as a gauge anomaly in the sixdimensional holomorphic theory [10]. Conversely, one can couple SDYM to a certain scalar field with a quartic kinetic term, which cancels the 6d gauge anomaly via a Green-Schwarzlike mechanism on twistor space and obtain an associative chiral algebra, including loop effects [6][7][8]. In this work we focus on theories with associative chiral algebras: either self-dual theories at tree-level or, when we wish to move beyond classical physics, such integrable "twistorial" 4d theories, with lifts to local, non-anomalous holomorphic theories on twistor space, guaranteeing chiral algebra associativity.…”

Section: Introductionmentioning

confidence: 99%

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Twistorial monopoles & chiral algebras

Garner,

Paquette

2023

J. High Energ. Phys.

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We initiate the study of how the insertion of magnetically charged states in 4d self-dual gauge theories impacts the 2d chiral algebras supported on the celestial sphere at asymptotic null infinity, from the point of view of the 4d/2d twistorial correspondence introduced by Costello and the second author. By reducing the 6d twistorial theory to a 3d holomorphic-topological theory with suitable boundary conditions, we can motivate certain non-perturbative enhancements of the celestial chiral algebra corresponding to extensions by modules arising from 3d boundary monopole operators. We also identify the insertion of 4d (non-abelian) monopoles with families of spectral flow automorphisms of the celestial chiral algebra.

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Section: Anomaly On Ptmentioning

confidence: 99%

Section: Jhep08(2023)088mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Twistorial monopoles & chiral algebras

Garner,

Paquette

2023

J. High Energ. Phys.

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Burns space and holography

Costello,

Paquette,

Sharma

2023

J. High Energ. Phys.

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We elaborate on various aspects of our top-down celestial holographic duality wherein the semiclassical bulk spacetime is a 4d asymptotically flat, self-dual Kähler geometry known as Burns space. The bulk theory includes an open string sector comprising a 4d WZW model and a closed string sector called “Mabuchi gravity” capturing fluctuations of the Kähler potential. Starting with the type I topological B-model on the twistor space of flat space, we obtain the twistor space of Burns space from the backreaction of a stack of N coincident D1 branes, while the chiral algebra is obtained from (a twist of) the brane worldvolume theory. One striking consequence of this duality is that all loop-level scattering amplitudes of the theory on Burns space can be expressed as correlation functions of an explicit 2d chiral algebra.We also present additional large-N checks, matching several 2 and 3-point amplitudes and their collinear expansions in the WZW4 sector, and the mixed WZW4-Mabuchi sector, of the bulk theory to the corresponding 2 and 3-point vacuum correlators and operator product expansions in the dual chiral algebra. Key features of the duality, along with our main results, are summarized in the introduction.

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Celestial holography: An asymptotic symmetry perspective

Donnay

2024

Physics Reports

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One-loop corrections to the celestial chiral algebra from Koszul Duality

Cited by 3 publications

References 13 publications

Twistorial monopoles & chiral algebras

Twistorial monopoles & chiral algebras

Burns space and holography

Celestial holography: An asymptotic symmetry perspective

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