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Modular Berry Connection

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arxiv 1712.07123 v2 pith:C7KSXOAK submitted 2017-12-19 hep-th

Bartlomiej Czech , Lampros Lamprou , Samuel McCandlish , James Sully This is my paper · ORCID
classification hep-th
keywords modularberryconnectionvaryingcomputehamiltoniantransformationsaccelerations
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

The Berry connection describes transformations induced by adiabatically varying Hamiltonians. We study how zero modes of the modular Hamiltonian are affected by varying the region that supplies the modular Hamiltonian. In the vacuum of a 2d CFT, global conformal symmetry singles out a unique modular Berry connection, which we compute directly and in the dual AdS$_3$ picture. In certain cases, Wilson loops of the modular Berry connection compute lengths of curves in AdS$_3$, reproducing the differential entropy formula. Modular Berry transformations can be measured by bulk observers moving with varying accelerations.

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Forward citations

Cited by 4 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. OpenAlex reports about 50 citations worldwide. Full citation record

  1. Covariant phase space and the semi-classical Einstein equation

    hep-th 2025-10 unverdicted novelty 6.0 of 10

    A semi-classical symplectic two-form is defined as the sum of the gravitational symplectic form and the Berry curvature of the quantum matter state; it is shown to be independent of the Cauchy slice and to satisfy a q...

  2. Modular quantization and black holes

    hep-th 2026-06 unverdicted novelty 5.0 of 10

    Modular quantization of a single holographic CFT reproduces exact Hartle-Hawking correlators of smooth BTZ black holes in the semiclassical limit while yielding non-smooth stretched-horizon descriptions at finite GN.

  3. Modular Flow of Celestial Conformal Field Theory

    hep-th 2026-05 unverdicted novelty 4.0 of 10

    The work introduces vector flow and modular flows in celestial field theory and Klein CFTs and examines their structures in Lifshitz and exotic field theories.

  4. Reflections on Virasoro circuit complexity and Berry phase

    hep-th 2019-08 reject novelty 3.0 of 10

    A claimed identification of Virasoro circuit complexity with the Berry connection fails a basic consistency check for pure rotations.

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