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Hidden conformal symmetry in AdS2×S2 beyond tree level (2024)
Journal Article
Heslop, P., Lipstein, A., & Santagata, M. (2024). Hidden conformal symmetry in AdS2×S2 beyond tree level. Physical Review D, 110(6), Article L061902. https://doi.org/10.1103/physrevd.110.l061902

Correlators of N=2 hypermultiplets with two-derivative interactions in AdS2×S2 exhibit a hidden four-dimensional conformal symmetry which allows one to repackage all tree-level four-point correlators into a single four-dimensional object correspondin... Read More about Hidden conformal symmetry in AdS2×S2 beyond tree level.

Integrated Correlators in N=4 Supersymmetric Yang-Mills Theory beyond Localization (2024)
Journal Article
Brown, A., Heslop, P., Wen, C., & Xie, H. (2024). Integrated Correlators in N=4 Supersymmetric Yang-Mills Theory beyond Localization. Physical Review Letters, 132(10), Article 101602. https://doi.org/10.1103/PhysRevLett.132.101602

We study integrated correlators of four superconformal primaries O_{p} with arbitrary charges p in N=4 super Yang-Mills theory. The ⟨O_{2}O_{2}O_{p}O_{p}⟩ integrated correlators can be computed by supersymmetric localization, whereas correlators with... Read More about Integrated Correlators in N=4 Supersymmetric Yang-Mills Theory beyond Localization.

The SAGEX review on scattering amplitudes chapter 8: half BPS correlators (2022)
Journal Article
Heslop, P. J. (2022). The SAGEX review on scattering amplitudes chapter 8: half BPS correlators. Journal of Physics A: Mathematical and Theoretical, 55(44), https://doi.org/10.1088/1751-8121/ac8c71

Half BPS correlators in $\mathcal{N}=4$ super Yang–Mills theory are key quantities both in the AdS/CFT correspondence as well as in scattering amplitudes research. They are dual at strong coupling to quantum gravity amplitudes. At weak coupling on th... Read More about The SAGEX review on scattering amplitudes chapter 8: half BPS correlators.

The SAGEX Review on scattering amplitudes (2022)
Journal Article
Travaglini, G., Brandhuber, A., Dorey, P. E., McLoughlin, T. A., Abreu, S., Bern, Z., Bjerrum-Bohr, N. E. J., Blümlein, J., Britto, R., Carrasco, J. J. M., Chicherin, D., Chiodaroli, M., Damgaard, P. H., Del Duca, V., Dixon, L. J., Dorigoni, D., Duhr, C., Geyer, Y., Green, M. B., Herrmann, E., …White, C. (2022). The SAGEX Review on scattering amplitudes. Journal of Physics A: Mathematical and Theoretical, 55(44), Article 443001. https://doi.org/10.1088/1751-8121/ac8380

This is an introduction to, and invitation to read, a series of review articles on scattering amplitudes in gauge theory, gravity, and superstring theory. Our aim is to provide an overview of the field, from basic aspects to a selection of current (2... Read More about The SAGEX Review on scattering amplitudes.

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.

Amplituhedron-like geometries (2021)
Journal Article
Dian, G., & Heslop, P. (2021). Amplituhedron-like geometries. Journal of High Energy Physics, 2021(11), Article 74. https://doi.org/10.1007/jhep11%282021%29074

We consider amplituhedron-like geometries which are defined in a similar way to the intrinsic definition of the amplituhedron but with non-maximal winding number. We propose that for the cases with minimal number of points the canonical form of these... Read More about Amplituhedron-like geometries.

Towards the Virasoro-Shapiro amplitude in AdS5×S5 (2021)
Journal Article
Abl, T., Heslop, P., & Lipstein, A. E. (2021). Towards the Virasoro-Shapiro amplitude in AdS5×S5. Journal of High Energy Physics, 2021(4), Article 237. https://doi.org/10.1007/jhep04%282021%29237

We propose a systematic procedure for obtaining all single trace 1/2-BPS correlators in N = 4 super Yang-Mills corresponding to the four-point tree-level amplitude for type IIB string theory in AdS5 × S5. The underlying idea is to compute generalised... Read More about Towards the Virasoro-Shapiro amplitude in AdS5×S5.

Single Particle Operators and their Correlators in Free N=4 SYM (2020)
Journal Article
Aprile, F., Drummond, J., Heslop, P., Paul, H., Sanfilippo, F., Santagata, M., & Stewart, A. (2020). Single Particle Operators and their Correlators in Free N=4 SYM. Journal of High Energy Physics, 2020(11), Article 72. https://doi.org/10.1007/jhep11%282020%29072

We consider a set of half-BPS operators in N = 4 super Yang-Mills theory which are appropriate for describing single-particle states of superstring theory on AdS5 × S5. These single-particle operators are defined to have vanishing two-point functions... Read More about Single Particle Operators and their Correlators in Free N=4 SYM.

One-loop amplitudes in AdS5×S5 supergravity from N = 4 SYM at strong coupling (2020)
Journal Article
Aprile, F., Drummond, J., Heslop, P., & Paul, H. (2020). One-loop amplitudes in AdS5×S5 supergravity from N = 4 SYM at strong coupling. Journal of High Energy Physics, 2020(3), Article 190. https://doi.org/10.1007/jhep03%282020%29190

We explore the structure of maximally supersymmetric Yang-Mills correlators in the supergravity regime. We develop an algorithm to construct one-loop supergravity amplitudes of four arbitrary Kaluza-Klein supergravity states, properly dualised into s... Read More about One-loop amplitudes in AdS5×S5 supergravity from N = 4 SYM at strong coupling.

Recursion relations for anomalous dimensions in the 6d (2, 0) theory (2019)
Journal Article
Abl, T., Heslop, P., & Lipstein, A. E. (2019). Recursion relations for anomalous dimensions in the 6d (2, 0) theory. Journal of High Energy Physics, 2019(4), Article 38. https://doi.org/10.1007/jhep04%282019%29038

We derive recursion relations for the anomalous dimensions of double-trace operators occurring in the conformal block expansion of four-point stress tensor correlators in the 6d (2, 0) theory, which encode higher-derivative corrections to supergravit... Read More about Recursion relations for anomalous dimensions in the 6d (2, 0) theory.

Double-trace spectrum of N=4 supersymmetric Yang-Mills theory at strong coupling (2018)
Journal Article
Aprile, F., Drummond, J., Heslop, P., & Paul, H. (2018). Double-trace spectrum of N=4 supersymmetric Yang-Mills theory at strong coupling. Physical Review D, 98(12), Article 126008. https://doi.org/10.1103/physrevd.98.126008

The spectrum of IIB supergravity on AdS5 × S5 contains a number of bound states described by long double-trace multiplets in N ¼ 4 super Yang-Mills theory at large ‘t Hooft coupling. At large N these states are degenerate and to obtain their anomalou... Read More about Double-trace spectrum of N=4 supersymmetric Yang-Mills theory at strong coupling.

The twistor Wilson loop and the amplituhedron (2018)
Journal Article
Heslop, P., & Stewart, A. (2018). The twistor Wilson loop and the amplituhedron. Journal of High Energy Physics, 2018(10), Article 142. https://doi.org/10.1007/jhep10%282018%29142

The amplituhedron provides a beautiful description of perturbative superamplitude integrands in N = 4 SYM in terms of purely geometric objects, generalisations of polytopes. On the other hand the Wilson loop in supertwistor space also gives an explic... Read More about The twistor Wilson loop and the amplituhedron.

Multi-particle amplitudes from the four-point correlator in planar N = 4 SYM (2018)
Journal Article
Heslop, P., & Tran, V. (2018). Multi-particle amplitudes from the four-point correlator in planar N = 4 SYM. Journal of High Energy Physics, 2018(07), Article 068. https://doi.org/10.1007/jhep07%282018%29068

A non-trivial consequence of the super-correlator/super-amplitude duality is that the integrand of the four-point correlation function of stress-tensor multiplets in planar N = 4 super Yang-Mills contains a certain combination of n-point amplitude in... Read More about Multi-particle amplitudes from the four-point correlator in planar N = 4 SYM.

Loop corrections for Kaluza-Klein AdS amplitudes (2018)
Journal Article
Aprile, F., Drummond, J., Heslop, P., & Paul, H. (2018). Loop corrections for Kaluza-Klein AdS amplitudes. Journal of High Energy Physics, 2018(5), Article 56. https://doi.org/10.1007/jhep05%282018%29056

Recently we conjectured the four-point amplitude of graviton multiplets in AdS5 × S5 at one loop by exploiting the operator product expansion of N = 4 super Yang-Mills theory. Here we give the first extension of those results to include Kaluza-Klein... Read More about Loop corrections for Kaluza-Klein AdS amplitudes.

Wilson Loop Form Factors: A New Duality (2018)
Journal Article
Chicherin, D., Heslop, P., Korchemsky, G. P., & Sokatchev, E. (2018). Wilson Loop Form Factors: A New Duality. Journal of High Energy Physics, 2018(04), Article 29. https://doi.org/10.1007/jhep04%282018%29029

We find a new duality for form factors of lightlike Wilson loops in planar N = 4 super-Yang-Mills theory. The duality maps a form factor involving an n-sided lightlike polygonal super-Wilson loop together with m external on-shell states, to the same... Read More about Wilson Loop Form Factors: A New Duality.

Unmixing supergravity (2018)
Journal Article
Aprile, F., Drummond, J., Heslop, P., & Paul, H. (2018). Unmixing supergravity. Journal of High Energy Physics, 2018(2), Article 133. https://doi.org/10.1007/jhep02%282018%29133

We examine the double-trace spectrum of N=4 super Yang-Mills theory in the supergravity limit. At large N double-trace operators exhibit degeneracy. By considering free-field and tree-level supergravity contributions to four-point functions of half-B... Read More about Unmixing supergravity.

M-theory beyond the supergravity approximation (2018)
Journal Article
Heslop, P., & Lipstein, A. E. (2018). M-theory beyond the supergravity approximation. Journal of High Energy Physics, 2018(2), Article 4. https://doi.org/10.1007/jhep02%282018%29004

We analyze the four-point function of stress-tensor multiplets for the 6d quantum field theory with OSp(8∗|4) symmetry which is conjectured to be dual to M-theory on AdS7 × S4, and deduce the leading correction to the tree-level supergravity predicti... Read More about M-theory beyond the supergravity approximation.

Quantum Gravity from Conformal Field Theory (2018)
Journal Article
Aprile, F., Drummond, J., Heslop, P., & Paul, H. (2018). Quantum Gravity from Conformal Field Theory. Monthly Notices of the Royal Astronomical Society, 2018, Article 35. https://doi.org/10.1007/jhep01%282018%29035

We bootstrap loop corrections to AdS5 supergravity amplitudes by enforcing the consistency of the known classical results with the operator product expansion of NN = 4 super Yang-Mills theory. In particular this yields much new information on the spe... Read More about Quantum Gravity from Conformal Field Theory.