Celestial self-dual Yang-Mills theory: a new formula and the OPE limit

Chattopadhyay, Pratik; Tao, Yi-Xiao

doi:10.1007/jhep03(2024)100

J. High Energ. Phys.

2024

DOI: 10.1007/jhep03(2024)100

|View full text |Cite

Celestial self-dual Yang-Mills theory: a new formula and the OPE limit

Pratik Chattopadhyay,

Yi-Xiao Tao

Abstract: Celestial holography is a new way to understand flat-space amplitudes. Self-dual theories, due to their nice properties, are good subjects to study celestial holography. In this paper, we developed a new formula to calculate the celestial color-ordered self-dual Yang-Mills amplitudes based on celestial Berends-Giele currents, which makes the leading OPE limit manifest. In addition, we explore some higher-order terms of OPE in the celestial self-dual Yang-Mills theory.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2024

Publication Types

Select...

Article4

Relationship

Self Cite0

Independent4

Authors

Journals

Cited by 4 publications

References 24 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Carrollian Amplitudes from Strings

Stieberger,

Taylor,

Zhu

2024

J. High Energ. Phys.

View full text Add to dashboard Cite

Carrollian holography is supposed to describe gravity in four-dimensional asymptotically flat space-time by the three-dimensional Carrollian CFT living at null infinity. We transform superstring scattering amplitudes into the correlation functions of primary fields of Carrollian CFT depending on the three-dimensional coordinates of the celestial sphere and a retarded time coordinate. The power series in the inverse string tension is converted to a whole tower of both UV and IR finite descendants of the underlying field-theoretical Carrollian amplitude. We focus on four-point amplitudes involving gauge bosons and gravitons in type I open superstring theory and in closed heterotic superstring theory at the tree-level. We also discuss the limit of infinite retarded time coordinates, where the string world-sheet becomes celestial.

show abstract

Carrollian Amplitudes from Strings

Stieberger,

Taylor,

Zhu

2024

J. High Energ. Phys.

View full text Add to dashboard Cite

show abstract

On the anomaly interpretation of amplitudes in self-dual Yang-Mills and gravity

Doran,

Monteiro,

Wikeley

2024

J. High Energ. Phys.

View full text Add to dashboard Cite

We investigate the integrability anomalies arising in the self-dual sectors of gravity and Yang-Mills theory, focusing on their connection to both the chiral anomaly and the trace anomaly. The anomalies in the self-dual sectors generate the one-loop all-plus amplitudes of gravitons and gluons, and have recently been studied via twistor constructions. On the one hand, we show how they can be interpreted as an anomaly of the chiral U(1) electric-magnetic-type duality in the self-dual sectors. We also note the similarity, for the usual fermionic chiral anomaly, between the 4D setting of self-dual Yang-Mills and the 2D setting of the Schwinger model. On the other hand, the anomalies in the self-dual theories also resemble the trace anomaly, sharing the same type of non-local effective action. We highlight the role of a Weyl-covariant fourth-order differential operator familiar from the trace anomaly literature, which (i) explains the conformal properties of the one-loop amplitudes, and (ii) indicates how this story may be extended to non-trivial spacetime backgrounds, e.g. with a cosmological constant. Moving beyond the self-dual sectors, and focusing on the gravity case, we comment on an intriguing connection to the two-loop ultraviolet divergence of pure gravity, whereby cancelling the anomaly at one-loop eliminates the two-loop divergence for the simplest helicity amplitudes.

show abstract

All OPEs invariant under the infinite symmetry algebra for gluons on the celestial sphere

Banerjee,

Mandal,

Misra

et al. 2024

Phys. Rev. D

View full text Add to dashboard Cite

S algebra is an infinite-dimensional Lie algebra, which is known to be the symmetry algebra of some gauge theories. It is a “colored version” of the w1+∞. In this paper, we write down all possible S-invariant (celestial) operator product expansions between two positive-helicity outgoing gluons and also find the Knizhnik-Zamolodchikov type null states for these theories. Our analysis hints at the existence of an infinite number of S-invariant gauge theories which include the (tree-level) maximally helicity-violating sector and the self-dual Yang-Mills theory. Published by the American Physical Society 2024

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Celestial self-dual Yang-Mills theory: a new formula and the OPE limit

Cited by 4 publications

References 24 publications

Carrollian Amplitudes from Strings

Carrollian Amplitudes from Strings

On the anomaly interpretation of amplitudes in self-dual Yang-Mills and gravity

All OPEs invariant under the infinite symmetry algebra for gluons on the celestial sphere

Contact Info

Product

Resources

About