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We describe the dynamics of two-dimensional relativistic and Carrollian fluids. These are mapped holographically to three-dimensional locally anti-de Sitter and locally Minkowski spacetimes, respectively. To this end, we use…

High Energy Physics - Theory · Physics 2019-07-15 Andrea Campoleoni , Luca Ciambelli , Charles Marteau , P. Marios Petropoulos , Konstantinos Siampos

We introduce a universally applicable method, based on the bond-algebraic theory of dualities, to search for generalized order parameters in disparate systems including non-Landau systems with topological order. A key notion that we advance…

Statistical Mechanics · Physics 2013-08-02 E. Cobanera , G. Ortiz , Z. Nussinov

The holographic correspondence predicts that certain strongly coupled quantum systems describe an emergent, higher-dimensional bulk spacetime in which excitations enjoy local dynamics. We consider a general holographic state dual to an…

High Energy Physics - Theory · Physics 2025-02-24 Simon Caron-Huot , Joydeep Chakravarty , Keivan Namjou

This paper meticulously revisit and study the flux geometry of any compact oriented manifold $(M; W)$. We generalize several well-known factorization results, exhibit some orbital conditions for the study of flux geometry, give a proof of…

Symplectic Geometry · Mathematics 2019-08-06 Stéphane Tchuiaga

Quadratic flows have the unique property of uniform strain and are commonly used in turbulence modeling and hydrodynamic analysis. While previous application focused on two-dimensional homogeneous fluid, this study examines the geometric…

Fluid Dynamics · Physics 2017-03-30 Che Sun

Motivated by the theory of holographic quantum error correction in the anti-de Sitter/conformal field theory (AdS/CFT) correspondence, together with the kink transform conjecture on the bulk AdS description of boundary cocycle flow, we…

Operator Algebras · Mathematics 2024-12-03 Jason Crann , Monica Jinwoo Kang

The holographic principle is often (and hastily) attributed to quantum gravity and domains of the Planck size. Meanwhile it can be usefully applied to problems where gravitation effects are negligible and domains of less exotic size. The…

High Energy Physics - Theory · Physics 2017-08-23 B. P. Kosyakov

Recent advances in generative models highlight the power of geometry-aware modeling in manifold-constrained settings. Yet, for natural images, the field remains confined to Euclidean assumptions, failing to exploit the potential of…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Junho Lee , Kwanseok Kim , Joonseok Lee

We construct a family of holographic duals to anisotropic states in a strongly coupled gauge theory. On the field theory side the anisotropy is generated by giving a vacuum expectation value to a dimension three operator. We obtain our…

High Energy Physics - Theory · Physics 2020-05-20 Carlos Hoyos , Niko Jokela , José Manuel Penín , Alfonso V. Ramallo

We consider N=2 supergravity in four dimensions, coupled to an arbitrary number of vector- and hypermultiplets, where abelian isometries of the quaternionic hyperscalar target manifold are gauged. Using a static and spherically or…

High Energy Physics - Theory · Physics 2016-09-14 Dietmar Klemm , Nicolò Petri , Marco Rabbiosi

We consider in the framework of the fluid/gravity correspondence the dynamics of hypersurfaces located in the holographic radial direction at r = r_0. We prove that these hypersurfaces evolve, to all orders in the derivative expansion and…

High Energy Physics - Theory · Physics 2013-05-29 Christopher Eling , Yaron Oz

We analyze the AdS/CFT dual geometry of an expanding boost-invariant plasma. We show that the requirement of nonsingularity of the dual geometry for leading and subasymptotic times predicts, without any further assumptions about gauge…

High Energy Physics - Theory · Physics 2008-11-26 Romuald A. Janik

We develop the holographic framework for the $\textrm{T}\overline{\textrm{T}}$ deformation of two-dimensional conformal field theories (CFT$_2$) with gravitational anomalies, characterized by unequal left and right central charges and…

High Energy Physics - Theory · Physics 2025-08-07 Debarshi Basu , Qiang Wen , Mingshuai Xu

Quark-gluon plasma during its initial phase after its production in heavy-ion collisions is expected to have substantial pressure anisotropies. In order to model this situation by a strongly coupled N=4 super-Yang-Mills plasma with fixed…

High Energy Physics - Theory · Physics 2015-06-05 Anton Rebhan , Dominik Steineder

A relativistic fluid in 3+1 dimensions with a global $U(1)$ symmetry admits nine independent static susceptibilities at the second order in the hydrodynamic derivative expansion, which capture the response of the fluid in thermal…

High Energy Physics - Theory · Physics 2021-08-26 Sebastian Grieninger , Ashish Shukla

In this paper, we find the boundary dual of the symplectic form for the bulk fields in any entanglement wedge. The key ingredient is Uhlmann holonomy, which is a notion of parallel transport of purifications of density matrices based on a…

High Energy Physics - Theory · Physics 2020-01-16 Josh Kirklin

Within a phenomenological holographic model in $(4+1)$-bulk dimensions, defined by Einstein-gravity with a negative cosmological constant, coupled to a Dirac-Born-Infeld and a Chern-Simons term, we explore the fate of BF-bound violation for…

High Energy Physics - Theory · Physics 2017-12-06 Arnab Kundu

We have studied theoretically the flow of superfluid 3He-A in parallel-plate geometry. The equilibrium order-parameter texture is calculated numerically in two spatial dimensions consisting of the coordinates along the flow direction and…

Condensed Matter · Physics 2007-05-23 J. Kopu , E. V. Thuneberg

We study the holographic dual of a topological symmetry operator in the context of the AdS/CFT correspondence. Symmetry operators arise from topological field theories localized on a subspace of the boundary CFT spacetime. We use bottom up…

High Energy Physics - Theory · Physics 2024-10-23 Jonathan J. Heckman , Max Hübner , Chitraang Murdia

We develop a model for hadrons in the framework of the worldline formalism. While being based wholly in four-dimensional quantum field theory, it shares many features with holographic approaches: Already by the use of the worldline…

High Energy Physics - Phenomenology · Physics 2014-08-18 Dennis D. Dietrich