Revisit the entanglement entropy with gravitational anomaly by Peng-Zhang He, Hai-Qing Zhang

“…These results are important for further understandings of the two-dimensional CFT with gravitational anomalies.…”
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Additional Solar System Gravitational Anomalies by Les Coleman

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Exactly solvable lattice Hamiltonians and gravitational anomalies by Yu-An Chen, Po-Shen Hsin

“…We construct infinitely many new exactly solvable local commuting projector lattice Hamiltonian models for general bosonic beyond group cohomology invertible topological phases of order two and four in any spacetime dimensions, whose boundaries are characterized by gravitational anomalies. Examples include the beyond group cohomology invertible phase without symmetry in (4+1)D that has an anomalous boundary $\mathbb{Z}_2$ topological order with fermionic particle and fermionic loop excitations that have mutual $\pi$ statistics. …”
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Gravitational anomalies of fermionic higher-spin fields by Victor Lekeu, Yi Zhang

“…Abstract Using the Atiyah-Singer index theorem, we formally compute gravitational anomalies for fermionic higher-spin fields in two, six and ten dimensions, as well as the U(1) mixed gauge-gravitational anomaly in four dimensions. …”
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MANTLE GRAVITATIONAL ANOMALIES IN THE REGIONS OF EURASIA, NORTH AMERICA AND THE ATLANTIC by V.V. Gordienko, L.Ya. Gordienko

Non-invertible self-duality defects of Cardy-Rabinovici model and mixed gravitational anomaly by Yui Hayashi, Yuya Tanizaki

“…Moreover, for some fixed points of the self-duality, the duality symmetry turns out to have a mixed gravitational anomaly detected on a K3 surface, and we can rule out the trivially gapped phase as a consequence of anomaly matching. …”
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Non-invertible self-duality defects of Cardy-Rabinovici model and mixed gravitational anomaly by Hayashi Yui, Tanizaki Yuya

“…As an application, we can rule out the trivially gapped phase for some self-dual parameters due to a mixed gravitational anomaly of this new symmetry. We also show how the conjectured phase diagram of the Cardy-Rabinovici model is consistent with this anomaly matching condition.…”
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Elasticity tetrads, mixed axial-gravitational anomalies, and (3+1)-d quantum Hall effect by J. Nissinen, G. E. Volovik

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Noncommutative $$D=5$$ D = 5 Chern–Simons gravity: Kaluza–Klein reduction and chiral gravitational anomaly by Dušan Ɖorđević, Dragoljub Gočanin

“…We find that this NC background spacetime gives rise to chiral gravitational anomaly due to the nonvanishing $$\theta $$ θ -dependent Pontryagin density.…”
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Classifying gauge anomalies through symmetry-protected trivial orders and classifying gravitational anomalies through topological orders by Wen, Xiao-Gang

“…Using the same approach that shows gauge anomalies to be connected to SPT phases, we can also show that gravitational anomalies are connected to topological orders (i.e., patterns of long-range entanglement) in one-higher dimension.…”
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Forecast of areas of distribution of gas hydrogat deposits on geophysical data in the Gulf of Guinea by Vladimir Yu Abramov, Diomande Mamadou, Moises Romero, Hiba Aljabasini

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GEODYNAMICS OF THE TAIMYR PENINSULA FROM GEOPHYSICAL DATA by D. G. Kushnir

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Elliptic Calabi-Yau fivefolds and 2d (0,2) F-theory landscape by Tian, J, Wang, YN

“…We find that orbifold singularities on the base fourfold have non-zero contributions to the gravitational anomaly.…”

Gapped domain walls between 2+1D topologically ordered states by Tian Lan, Xueda Wen, Liang Kong, Xiao-Gang Wen

“…Such conditions can be viewed as bulk topological order determining the (noninvertible) gravitational anomaly at the domain wall, and our theory can be viewed as finding all types of the gapped domain wall given a (noninvertible) gravitational anomaly. …”
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Algebraic higher symmetry and categorical symmetry: A holographic and entanglement view of symmetry by Liang Kong, Tian Lan, Xiao-Gang Wen, Zhi-Hao Zhang, Hao Zheng

“…Thus, we also refer to a noninvertible gravitational anomaly as categorical symmetry to stress its connection to symmetry. …”
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Topological orders, braiding statistics, and mixture of two types of twisted BF theories in five dimensions by Zhi-Feng Zhang, Peng Ye

“…Following Wen’s definition, the boundary theory of a topological order exhibits gravitational anomaly. We expect that the characterization and classification of 5D topological orders in this paper encode information of 4D gravitational anomaly. …”
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Algebraic higher symmetry and categorical symmetry: A holographic and entanglement view of symmetry by Kong, Liang, Lan, Tian, Wen, Xiao-Gang, Zhang, Zhi-Hao, Zheng, Hao

“…Thus we also refer to non-invertible gravitational anomaly as categorical symmetry to stress its connection to symmetry. …”
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Hypercharge quantisation and Fermat's last theorem by Nakarin Lohitsiri, David Tong

“…This argument does not rely on the mixed gauge-gravitational anomaly, which is automatically vanishing if hypercharge is quantised and the gauge anomalies vanish.…”
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Breakdown of the Newton–Einstein Standard Gravity at Low Acceleration in Internal Dynamics of Wide Binary Stars by Kyu-Hyun Chae

“…A gravitational anomaly is found at weak gravitational acceleration g _N ≲ 10 ^−9 m s ^−2 from analyses of the dynamics of wide binary stars selected from the Gaia DR3 database that have accurate distances, proper motions, and reliably inferred stellar masses. …”
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The action of geometric entropy in topologically massive gravity by Molly Kaplan

“…Abstract Due to the presence of a gravitational anomaly in topologically massive gravity (TMG), the geometric entropy is no longer simply the Hubeny-Rangamani-Takayanagi (HRT) area; instead, it is given by the HRT area plus an anomalous contribution. …”
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