Charge-Sector Construction of the Type-IIB Axion--Dilaton Wormhole Partition Function

I construct the Type-IIB axion--dilaton wormhole partition function from charge-sector data. In a chosen axion charge, equivalently form-field flux sector, the long-distance saddle calculation supplies a two-end operator term with coefficient matrix (C^{ij}ν). The labels (i,j) label end-insertion operators; the labels (A,B) label parent universes. Reduction data (b) convert this matrix into scalar coefficients (W_ν[b]). The wormhole partition function in the theta variable is (Z{\rm wh}(θ;b)=\sum_νW_ν[b]\e^{iνθ}). I analyze properties and constraints this coefficients satisfy: discrete-symmetry covariance, phase, absolute bounds, moment positivity, Cauchy--Schwarz inequalities for the unreduced coefficient matrix, complex-(θ) domains, charge-lattice tails, and the dilute Bessel/Skellam limit. The (θ)-dependence of the wormhole partition function is the Fourier transform of the charge-sector scalar coefficients.

Source: arXiv:2607.05385v1 - http://arxiv.org/abs/2607.05385v1 PDF: https://arxiv.org/pdf/2607.05385v1 Original Link: http://arxiv.org/abs/2607.05385v1