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<p>We explore the space of non-gravitational, maximally supersymmetric, planar 4d effective field theories (EFTs) that have 𝒩 = 4 super Yang-Mills (SYM) at leading order. In the weakly-coupled regime, we examine the combined constraints of 𝒩 = 4 supersymmetry and <i>SU</i>(4) R-symmetry together with the requirement of standard tree-level factorization on the massless poles of the 4-, 5-, and 6-point EFT scattering amplitudes. When imposing a parity condition on the 6-scalar amplitudes, we find highly nontrivial nonlinear constraints on the 4-point Wilson coefficients. When these novel constraints are combined with positivity, the resulting bounds on the 4-point Wilson coefficients converge to the values of the open string Veneziano amplitude. Our results strongly suggest that supersymmetry, R-symmetry, the parity requirement on the 6-scalar amplitudes, and positivity are sufficient to single out this unique UV completion at tree level. Our findings, moreover, highlight the power of higher-point amplitudes in constraining EFT data and imply that the space of consistent quantum field theories is even more restricted than previously suggested by causality or swampland-based approaches.</p>

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String theory from maximal supersymmetry

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年7月10日

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  • Henriette Elvang,
  • Aidan Herderschee,
  • Roger Morales

摘要

We explore the space of non-gravitational, maximally supersymmetric, planar 4d effective field theories (EFTs) that have 𝒩 = 4 super Yang-Mills (SYM) at leading order. In the weakly-coupled regime, we examine the combined constraints of 𝒩 = 4 supersymmetry and SU(4) R-symmetry together with the requirement of standard tree-level factorization on the massless poles of the 4-, 5-, and 6-point EFT scattering amplitudes. When imposing a parity condition on the 6-scalar amplitudes, we find highly nontrivial nonlinear constraints on the 4-point Wilson coefficients. When these novel constraints are combined with positivity, the resulting bounds on the 4-point Wilson coefficients converge to the values of the open string Veneziano amplitude. Our results strongly suggest that supersymmetry, R-symmetry, the parity requirement on the 6-scalar amplitudes, and positivity are sufficient to single out this unique UV completion at tree level. Our findings, moreover, highlight the power of higher-point amplitudes in constraining EFT data and imply that the space of consistent quantum field theories is even more restricted than previously suggested by causality or swampland-based approaches.