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  • Open Access

Efficient conformal block evaluation with a novel software implementation

J. Chryssanthacopoulos1,*, V. Niarchos2,†, C. Papageorgakis1,‡, and A. G. Stapleton1,§

  • *Contact author: j.chryssanthacopoulos@qmul.ac.uk
  • †Contact author: niarchos@physics.uoc.gr
  • ‡Contact author: c.papageorgakis@qmul.ac.uk
  • §Contact author: a.g.stapleton@qmul.ac.uk
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Phys. Rev. D 114, 026020 – Published 15 July, 2026

DOI: https://doi.org/10.1103/p4sb-x44g

Abstract

Conformal blocks in odd spacetime dimensions are not known in closed analytic form. To facilitate efficient computations in the conformal bootstrap, we introduce goblocks: a novel conformal-block generator implemented in the Go programming language, designed for rapid, on-the-fly, parallel evaluation in general spacetime dimensions using recursive relations. The package supports both multipoint and derivative-based bootstrap approaches and allows flexible control over accuracy and performance. We benchmark goblocks against the scalar_blocks package, finding significant speed improvements in applications where computational speed and moderate accuracy are critical, but ultrahigh precision is not essential. As an illustration, we apply goblocks to the mixed-correlator bootstrap of the three-dimensional Ising model, formulated as a nonconvex optimization problem in a suitable truncation scheme. We simultaneously optimize over external scaling dimensions and OPE CFT data. In addition, we discuss how the approach scales as we increase the number of mixed correlators in more general O(N) vector models.

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Phys. Rev. D 114, 026020– Published 15 July, 2026
  • Received 28 April 2026
  • Accepted 25 June 2026
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