Miguel Tierz

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hep-th2026

Equal-charge projection of the $N = 4$ index: exact large- $N$ formula and finite-rank $U (3)$ coefficients

Miguel Tierz

The equal-charge branch of supersymmetric rotating AdS $_{5}$ black holes has $Q_{1} = Q_{2} = Q_{3}$ . The corresponding microcanonical sector of the $N = 4$ superconformal index is obt…

hep-th2026

Exact Schwarzian Metric Factor and Holographic Wilson-Loop Screening

Miguel Tierz

We evaluate exactly the radial metric factor $h (ζ)$ generated by Schwarzian averaging in the AdS $_{2}$ throat of an extremal Reissner--Nordström AdS $_{5}$ black brane. The result is a…

hep-th2026

BPS spectra of $Tr [Ψ^{p}]$ matrix models for odd $p$

Miguel Tierz

We study the BPS cohomology and Hamiltonian of a model built from an $N \times N$ matrix $Ψ$ of complex fermions, with supercharge $Q_{p} = Tr (Ψ^{p})$ for odd $p \geq 3$ . Numerical cal…

hep-th2025

Finite Gauss-Sum Modular Kernels: Scalar Gap and a Pure AdS $_{3}$ Gravity No-Go Theorem

Miguel Tierz

We obtain closed-form expressions for the $S T^{n} S$ modular kernels of non-rational Virasoro CFTs and use them to construct fully analytic modular-bootstrap functionals. At rational…

Equal-charge projection of the N=4 index: exact large-N formula and finite-rank U(3) coefficients

Exact Schwarzian Metric Factor and Holographic Wilson-Loop Screening

BPS spectra of Tr[Ψp] matrix models for odd p

Finite Gauss-Sum Modular Kernels: Scalar Gap and a Pure AdS3​ Gravity No-Go Theorem

Equal-charge projection of the $N = 4$ index: exact large- $N$ formula and finite-rank $U (3)$ coefficients

BPS spectra of $Tr [Ψ^{p}]$ matrix models for odd $p$

Finite Gauss-Sum Modular Kernels: Scalar Gap and a Pure AdS $_{3}$ Gravity No-Go Theorem