Where is M-theory in the space of scattering amplitudes?

Guerrieri, Andrea L.; Murali, Harish; Penedones, João; Vieira, Pedro

doi:10.1007/jhep06(2023)064

Cited by 14 publications

(2 citation statements)

References 25 publications

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“…In turn, the consistency of anomaly inflow on these defects can restrict the theory even with lower amounts of supersymmetry, as exemplified in [23]. Perhaps one can achieve more mileage complementing such kinematical considerations with dynamical ones, for instance relying on S-matrix bootstrap techniques along the lines of [103,104]. Another promising avenue is the study of equivariant topological modular forms [105][106][107], a generalised cohomology theory believed to encode deformation classes of 2d SQFTs (and thus of heterotic worldsheets) [108] according to the Stolz-Teichner conjecture [43].…”

Section: Jhep04(2024)067 9 Conclusionmentioning

confidence: 99%

Anomaly constraints for heterotic strings and supergravity in six dimensions

Basile,

Leone

2024

J. High Energ. Phys.

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The landscape of six-dimensional supergravities is dramatically constrained by the cancellation of gauge and gravitational anomalies, but the full extent of its implications has not been uncovered. We explore the cancellation of global anomalies of the Dai-Freed type in this setting with abelian and simply laced gauge groups, finding novel constraints. In particular, we exclude arbitrarily large abelian charges in an infinite family of theories for certain types of quadratic refinements, including a specific one defined in the literature. We also show that the Gepner orientifold with no tensor multiplets is anomaly-free for a different choice, as well as a number of heterotic models with and without spacetime supersymmetry in six dimensions. The latter analysis extends previous results in ten dimensions to some lower-dimensional settings in the heterotic landscape.

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Section: Jhep04(2024)067 9 Conclusionmentioning

confidence: 99%

Anomaly constraints for heterotic strings and supergravity in six dimensions

Basile,

Leone

2024

J. High Energ. Phys.

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“…By now positivity bounds have been derived in a variety of contexts, including without and with gravity, see, e.g., [72][73][74][75][76][77][78] and with [79][80][81][82][83][84][85][86][87] respectively, and [88] for reviews. The impact of broken Lorentz invariance has been considered in [89][90][91] and in a quantum gravitational context, positivity bounds have been considered in string theory [92][93][94]. In order to make use of results on photon self-interactions in asymptotically safe gravity [95][96][97], we focus on positivity bounds for the photon [1,[98][99][100].…”

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confidence: 99%

Weak-gravity bound in asymptotically safe gravity-gauge systems

2022

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The weak-gravity bound has been discovered in asymptotically safe gravity-matter systems, where it limits the maximum strength of gravitational fluctuations. In the present paper, we explore it for the first time in systems with more than one gauge field to discover whether systems with 12 gauge fields (like the Standard Model) exhibit a weak-gravity bound and whether the gravitational fixed point evades it. Further, we test the robustness of the present and previous results on the weak-gravity bound by exploring their dependence on a gravitational gauge parameter. Finally, the existence of the weak-gravity bound also has important phenomenological consequences: it is key to a proposed mechanism that bounds the spacetime dimensionality from above to four or five dimensions. In this paper, we strengthen the evidence for this mechanism. Thus, the predictive power of the asymptotic safety paradigm could extend to parameters of the spacetime geometry, such that the four dimensionality of our Universe could be explained from first principles.

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Effective field theory bootstrap, large-N χPT and holographic QCD

2024

J. High Energ. Phys.

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We review the effective field theory (EFT) bootstrap by formulating it as an infinite-dimensional semidefinite program (SDP), built from the crossing symmetric sum rules and the S-matrix primal ansatz. We apply the program to study the large-N chiral perturbation theory (χPT) and observe excellent convergence of EFT bounds between the dual (rule-out) and primal (rule-in) methods. This convergence aligns with the predictions of duality theory in SDP, enabling us to analyze the bound states and resonances in the ultra-violet (UV) spectrum. Furthermore, we incorporate the upper bound of unitarity to uniformly constrain the EFT space from the UV scale M using the primal method, thereby confirming the consistency of the large-N expansion. In the end, we translate the large-N χPT bounds to constrain the higher derivative corrections of holographic QCD models.

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Where is M-theory in the space of scattering amplitudes?

Cited by 14 publications

References 25 publications

Anomaly constraints for heterotic strings and supergravity in six dimensions

Anomaly constraints for heterotic strings and supergravity in six dimensions

Weak-gravity bound in asymptotically safe gravity-gauge systems

Effective field theory bootstrap, large-N χPT and holographic QCD

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