Deformed quantum mechanics from Seiberg-Witten curves shows phases with real or complex instantons, leading to tunneling suppression at Toda points and anomalous scaling at critical monopole points.
MonodromiesofSecondOrder 饾憺-differenceEquationsfrom the WKB Approximation
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Derives TBA equations for the higher-order Mathieu equation of the SU(r+1) quantum Seiberg-Witten curve, obtains an analytic effective central charge from Y-function boundary conditions at theta to -infinity, and verifies subleading analytic plus higher-order numerical agreement with WKB expansions.
A comprehensive introduction to spectral networks that develops higher-rank Teichm眉ller theory in parallel with class S gauge theory and BPS spectra.
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Thou shalt not tunnel: Complex instantons and tunneling suppression in deformed quantum mechanics
Deformed quantum mechanics from Seiberg-Witten curves shows phases with real or complex instantons, leading to tunneling suppression at Toda points and anomalous scaling at critical monopole points.
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TBA equations for $SU(r+1)$ quantum Seiberg-Witten curve: higher-order Mathieu equation
Derives TBA equations for the higher-order Mathieu equation of the SU(r+1) quantum Seiberg-Witten curve, obtains an analytic effective central charge from Y-function boundary conditions at theta to -infinity, and verifies subleading analytic plus higher-order numerical agreement with WKB expansions.
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Spectral Networks: Bridging higher-rank Teichm\"uller theory and BPS states
A comprehensive introduction to spectral networks that develops higher-rank Teichm眉ller theory in parallel with class S gauge theory and BPS spectra.