7 problems
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Tensor-product conjecture for the full Hofstadter energy trans-series
Tensor-product conjecture. The full energy trans-series can be written as a tensor product of the minimal trans-series and the medium, namely
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Resurgence conjecture for the trans-series columns in the CP(N-1) model
Let the trans-series be organized in a resurgence triangle whose rows are indexed by instanton number and whose columns are indexed by independent topological- sectors. Eac…
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The free-energy trans-series convergence conjecture for integrable asymptotically free theories
Free-energy trans-series convergence conjecture. This convergence property also holds for the trans-series of the free energy in integrable asymptotically free theories.
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The QFT trans-series completion conjecture
QFT trans-series completion conjecture. Perturbative series in quantum field theory can be upgraded to trans-series in such a way that exact results are obtained by their resummati…
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Conjecture on multi-instanton solutions and Delabaere–Pham discontinuities
Consider the resurgent structure of quantum periods for general quantum curves with one single modulus, including the NS free energies and Wilson-loop vevs governed by holomorphic-…
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Ritus' two-loop instanton trans-series conjecture for the Euler–Heisenberg effective Lagrangian
Ritus' conjecture. The weak-field instanton expansion of its non-perturbative imaginary part has the form
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Stokes-parameter conjecture for the first superconducting trans-series coefficient
In the Gauding--Yang model, let denote the ground-state energy and write its trans-series as … Here and are trans-series parameters, and the ambiguity…