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Six-dimensional correlators from a five-dimensional operator product expansion (2024)
Journal Article
Lambert, N., Lipstein, A., & Mouland, R. (2024). Six-dimensional correlators from a five-dimensional operator product expansion. Journal of High Energy Physics, 2024(6), Article 055. https://doi.org/10.1007/jhep06%282024%29055

In this letter we discuss the operator product expansion of scalar operators in five-dimensional field theories with an SU(1, 3) × U(1) spacetime symmetry. Such theories arise by a novel conformal null reduction of six-dimensional Lorentzian conforma... Read More about Six-dimensional correlators from a five-dimensional operator product expansion.

Graviton trispectrum from gluons (2023)
Journal Article
Armstrong, C., Goodhew, H., Lipstein, A., & Mei, J. (2023). Graviton trispectrum from gluons. Journal of High Energy Physics, 2023(8), Article 206. https://doi.org/10.1007/jhep08%282023%29206

The tree-level wavefunction coefficient for four gravitons in de Sitter space was recently bootstrapped using the Cosmological Optical Theorem, flat space limit, and Manifestly Local Test [1]. Inspired by the double copy for scattering amplitudes, we... Read More about Graviton trispectrum from gluons.

New recursion relations for tree-level correlators in anti–de Sitter spacetime (2022)
Journal Article
Armstrong, C., Gomez, H., Lipinski Jusinskas, R., Lipstein, A., & Mei, J. (2022). New recursion relations for tree-level correlators in anti–de Sitter spacetime. Physical Review D, 106(12), https://doi.org/10.1103/physrevd.106.l121701

We present for the first time classical multiparticle solutions in anti–de Sitter space (AdS) involving scalars, gluons, and gravitons. They are recursively defined through multiparticle currents which reduce to Berends-Giele currents in the flat spa... Read More about New recursion relations for tree-level correlators in anti–de Sitter spacetime.

Enhanced soft limits in de Sitter space (2022)
Journal Article
Armstrong, C., Lipstein, A., & Mei, J. (2022). Enhanced soft limits in de Sitter space. Journal of High Energy Physics, 2022(12), Article 64. https://doi.org/10.1007/jhep12%282022%29064

In flat space, the scattering amplitudes of certain scalar effective field theories exhibit enhanced soft limits due to the presence of hidden symmetries. In this paper, we show that this phenomenon extends to wavefunction coefficients in de Sitter s... Read More about Enhanced soft limits in de Sitter space.

Yangian Symmetry in Five Dimensions (2022)
Journal Article
Lipstein, A., & Orchard, T. (2022). Yangian Symmetry in Five Dimensions. Physical Review Letters, 129(23), Article 231602. https://doi.org/10.1103/physrevlett.129.231602

Quantum gravity in AdS7×S4 is dual to a six-dimensional (6D) superconformal field theory, known as the 6D (2,0) theory, which is very challenging to describe because it lacks a conventional Lagrangian description. On the other hand, certain null redu... Read More about Yangian Symmetry in Five Dimensions.

Effective field theories and cosmological scattering equations (2022)
Journal Article
Armstrong, C., Gomez, H., Jusinskas, R. L., Lipstein, A., & Mei, J. (2022). Effective field theories and cosmological scattering equations. Journal of High Energy Physics, 2022(8), Article 54. https://doi.org/10.1007/jhep08%282022%29054

We propose worldsheet formulae for correlators of the massive non-linear sigma model (NLSM), scalar Dirac-Born-Infeld (DBI), and special Galileon (sGal) theories in de Sitter momentum space in terms of the recently proposed cosmological scattering eq... Read More about Effective field theories and cosmological scattering equations.

Cosmological scattering equations at tree-level and one-loop (2022)
Journal Article
Gomez, H., Jusinskas, R. L., & Lipstein, A. (2022). Cosmological scattering equations at tree-level and one-loop. Journal of High Energy Physics, 2022(7), Article 4. https://doi.org/10.1007/jhep07%282022%29004

We recently proposed a formula for tree-level n-point correlators of massive phi^4 theory in de Sitter momentum space which consists of an integral over n punctures on the Riemann sphere and differential operators in the future boundary dubbed the co... Read More about Cosmological scattering equations at tree-level and one-loop.

Higher-dimensional symmetry of AdS2×S2 correlators (2022)
Journal Article
Abl, T., Heslop, P., & Lipstein, A. E. (2022). Higher-dimensional symmetry of AdS2×S2 correlators. Journal of High Energy Physics, 2022(3), Article 76. https://doi.org/10.1007/jhep03%282022%29076

It was recently shown that IIB supergravity on AdS5×S5 enjoys 10d conformal symmetry and that superstring theory on this background can be described using a 10d scalar effective field theory. In this paper we adapt these two complementary approaches... Read More about Higher-dimensional symmetry of AdS2×S2 correlators.

Five-dimensional path integrals for six-dimensional conformal field theories (2022)
Journal Article
Lambert, N., Lipstein, A., Mouland, R., & Richmond, P. (2022). Five-dimensional path integrals for six-dimensional conformal field theories. Journal of High Energy Physics, 2022(2), Article 151. https://doi.org/10.1007/jhep02%282022%29151

In this paper we derive Ward-Takahashi identities from the path integral of supersymmetric five-dimensional field theories with an SU(1,3) spacetime symmetry in the presence of instantons. We explicitly show how SU(1,3) is enhanced to SU(1,3)×U(1) wh... Read More about Five-dimensional path integrals for six-dimensional conformal field theories.