Observing the dimensionality of our parent vacuum by Graham, Peter W., Harnik, Roni, Rajendran, Surjeet

“…Further, this anisotropic curvature causes different dimensions to expand at different rates. …”
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Distribution of Ohm k from the scale-factor cutoff measure by De Simone, Andrea, Salem, Michael P.

“…Anthropic selection does not strongly select for curvature as small as is observed (relative somewhat larger values), meaning the observational bound on curvature can be used to rule out landscape models that typically give too little inflation.…”
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Holographic order from modular chaos by de Boer, Jan, Lamprou, Lampros

“…Generators of null deformations of the bulk extremal surface map to modular scrambling modes — positive CFT operators saturating the bound — and their algebra probes the bulk Riemann curvature, clarifying the modular Berry curvature proposal of arXiv:1903.04493. ©2020…”
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A modular sewing kit for entanglement wedges by Czech, Bartlomiej, de Boer, Jan, Ge, Dongsheng, Lamprou, Lampros

“…We relate the Riemann curvature of a holographic spacetime to an entangle- ment property of the dual CFT state: the Berry curvature of its modular Hamiltonians. …”
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Nonlinear chiral transport phenomena by Ishii, Takeaki, Pu, Shi, Yamamoto, Naoki, Chen, Jiunn-Wei

“…Using the kinetic theory with Berry curvature corrections under the relaxation time approximation, we compute the transport coefficients of possible new electric currents that are forbidden in usual chirally symmetric matter but are allowed in chirally asymmetric matter by parity. …”
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Primordial bispectrum from multifield inflation with nonminimal couplings by Kaiser, David I., Mazenc, Edward A., Sfakianakis, Evangelos

“…Renormalization requires that the fields have nonminimal couplings to the spacetime Ricci curvature scalar, and the couplings can be large at the energy scales of early-universe inflation. …”
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Primordial perturbations from multifield inflation with nonminimal couplings by Kaiser, David I., Todhunter, Audrey T.

“…These fields generically have nonminimal couplings to the Ricci curvature scalar, either as part of a generalized Einstein theory or as necessary counterterms for renormalization in curved background spacetimes. …”
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Spectroscopic probe of the van der Waals interaction between polar molecules and a curved surface by Bimonte, Giuseppe, Emig, Thorsten, Kardar, Mehran, Jaffe, Robert L.

“…We use a derivative expansion for the static Green's function to express the shifts in terms of surface curvature. We argue that the curvature induced line splitting is experimentally observable, and not obscured by natural linewidths and thermal broadening.…”
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Geometric origin of coincidences and hierarchies in the landscape by Bousso, Raphael, Leichenauer, Stefan, Rosenhaus, Vladimir, Freivogel, Benjamin W.

“…We show that the geometry of cutoffs on eternal inflation strongly constrains predictions for the time scales of vacuum domination, curvature domination, and observation. We consider three measure proposals: the causal patch, the fat geodesic, and the apparent horizon cutoff, which is introduced here for the first time. …”
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Towards an invariant geometry of double field theory by Hohm, Olaf, Zwiebach, Barton

“…Finally, we analyze to what extent the generalized Riemann tensor encodes the curvatures of Riemannian geometry. We show that it contains the conventional Ricci tensor and scalar curvature but not the full Riemann tensor, suggesting the possibility of a further extension of this framework.…”
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Four-volume cutoff measure of the multiverse by Vilenkin, Alexander, Yamada, Masaki

“…The probability distributions for the cosmological constant and for the curvature parameter in this measure are similar to those for the scale-factor cutoff and are in a good agreement with observations.…”
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A more attractive scheme for radion stabilization and supercooled phase transition by Fujikura, Kohei, Nakai, Yuichiro, Yamada, Masaki

“…In comparison to the Goldberger-Wise mechanism, the 5D Planck mass can be larger than the AdS curvature and a classical description of the gravity is reliable in our stabilization mechanism. …”
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1/N effects in non-relativistic gauge-gravity duality by Adams, Allan, Maloney, Alexander, Sinha, Aninda, Vazquez, Samuel E.

“…We argue that higher-curvature terms in the gravitational Lagrangian lead, via non-relativistic gauge-gravity duality, to nite renormalization of the dynamical exponent of the dual conformal eld theory. …”
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Large non-Gaussianities with intermediate shapes from quasi-single-field inflation by Chen, Xingang, Wang, Yi

“…In these models large non-Gaussianities can be generated through the transformation from the isocurvature modes to the curvature mode, once the inflaton trajectory turns. …”
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On the Riemann tensor in double field theory by Hohm, Olaf, Zwiebach, Barton

“…Double field theory provides T-duality covariant generalized tensors that are natural extensions of the scalar and Ricci curvatures of Riemannian geometry. We search for a similar extension of the Riemann curvature tensor by developing a geometry based on the generalized metric and the dilaton. …”
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Coupling Constant Corrections in a Holographic Model of Heavy Ion Collisions by Grozdanov, Sašo, van der Schee, Wilke

“…In the dual description, this amounts to colliding gravitational shock waves in a theory with curvature-squared terms. We find that, at intermediate coupling, nuclei experience less stopping and have more energy deposited near the light cone. …”
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Conformal transformations with multiple scalar fields by Kaiser, David I.

“…Many interesting models incorporate scalar fields with nonminimal couplings to the spacetime Ricci curvature scalar. As is well known, if only one scalar field is nonminimally coupled, then one may perform a conformal transformation to a new frame in which both the gravitational portion of the Lagrangian and the kinetic term for the (rescaled) field assume canonical form. …”
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Minimal-Area Metrics on the Swiss Cross and Punctured Torus by Headrick, Matthew, Zwiebach, Barton

“…For small boundary the metric develops a third band of geodesics wrapping around it, and has both regions of positive and of negative curvature. This surface can be completed to provide the minimal-area metric on a once-punctured torus, representing a closed-string tadpole diagram.…”
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Inflationary paradigm after Planck 2013 by Nomura, Yasunori, Guth, Alan, Kaiser, David I.

“…Though detailed assumptions about fields and couplings vary across models, inflation makes specific, quantitative predictions for several observable quantities, such as the flatness parameter (Ωk=1−Ω) and the spectral tilt of primordial curvature perturbations (ns−1=dln⁡P[subscript R]/dln⁡k), among others—predictions that match the latest observations from the Planck satellite to very good precision. …”
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Casimir forces beyond the proximity approximation by Bimonte, Giuseppe, Emig, Thorsten, Jaffe, Robert L., Kardar, Mehran

“…We use a derivative expansion for gently curved surfaces to derive the leading curvature modifications to the PFA. Our methods apply to any homogeneous and isotropic materials; here we present results for Dirichlet and Neumann boundary conditions and for perfect conductors. …”
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