Bootstrapping giant graviton correlators

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Abstract
We develop bootstrap methods for mixed heavy-light four-point correlators ⟨ G G O O ⟩ in N = 4 super-Yang-Mills theory at large N , where O ≡ O 2 is the chiral primary operator in the stress-tensor multiplet and G are (dual) giant graviton operators with dimension of order N , including the maximal determinant case. The loop integrand is expanded in a basis of labeled f -graphs—necessarily including nonplanar topologies due to the dimension- N nature of the giant gravitons—and the coefficients are fixed by various bootstrap conditions, including double-triangle and triangle rules in the cusp and operator product expansion limits, integrated correlators from supersymmetric localization, and a ten-dimensional hidden symmetry, the latter also allowing extension to correlators involving generic chiral primaries O k . Together, these inputs uniquely determine the correlator through three loops, passing further nontrivial consistency checks. For the maximal determinant operator, we reproduce the known results through two loops and obtain the full three-loop correction.
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Funding Information
  • National Natural Science Foundation of China (12225510)
  • National Natural Science Foundation of China (12447101)
  • National Natural Science Foundation of China (12347146)
  • China Postdoctoral Science Foundation (2022TQ0346)
  • Royal Society (URF\R\221015)
  • Science and Technology Facilities Council (ST\T000686\1)
  • New Cornerstone Science Foundation

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