Interior analysis, stretched technique and bubbling geometries

• URL: http://arxiv.org/abs/2312.16751v2
• Date: Wed, 31 Jan 2024 23:58:24 GMT
• Title: Interior analysis, stretched technique and bubbling geometries
• Authors: Qiuye Jia, Hai Lin,
• Abstract summary: We perform a detailed analysis of quarter BPS bubbling with AdSs geometries and their corresponding duality relations with their dual states in the quantum field theory side. We derive generalized Laplace-type equations with sources, obtained from linearized Monge-Ampere equations, and used for boundaryally AdS geometry.
• Score: 2.5240171181791276
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We perform a detailed analysis of quarter BPS bubbling geometries with AdS asymptotics and their corresponding duality relations with their dual states in the quantum field theory side, among other aspects. We derive generalized Laplace-type equations with sources, obtained from linearized Monge-Ampere equations, and used for asymptotically AdS geometry. This enables us to obtain solutions specific to the asymptotically AdS context. We conduct a thorough analysis of boundary conditions and explore the stretched technique where boundary conditions are imposed on a stretched surface. These boundary conditions include grey droplets. This stretched technique is naturally used for the superstar, where we place grey droplet boundary conditions on the stretched surface. We also perform a coarse-graining of configurations and analyze the symplectic forms on the configuration space and their coarse-graining.

Related papers

• Casimir Energy in (2 + 1)-Dimensional Field Theories [44.99833362998488]
  Two types of boundary conditions give rise to two different exponential decay regimes of the Casimir energy at large distances. Non-perturbative numerical simulations and analytical arguments show such an exponential decay for Dirichlet boundary conditions of SU(2) gauge theories.
  arXiv  Detail & Related papers  (2024-05-06T18:08:31Z)
• Gaussian Entanglement Measure: Applications to Multipartite Entanglement of Graph States and Bosonic Field Theory [50.24983453990065]
  An entanglement measure based on the Fubini-Study metric has been recently introduced by Cocchiarella and co-workers. We present the Gaussian Entanglement Measure (GEM), a generalization of geometric entanglement measure for multimode Gaussian states. By providing a computable multipartite entanglement measure for systems with a large number of degrees of freedom, we show that our definition can be used to obtain insights into a free bosonic field theory.
  arXiv  Detail & Related papers  (2024-01-31T15:50:50Z)
• Geometric Neural Diffusion Processes [55.891428654434634]
  We extend the framework of diffusion models to incorporate a series of geometric priors in infinite-dimension modelling. We show that with these conditions, the generative functional model admits the same symmetry.
  arXiv  Detail & Related papers  (2023-07-11T16:51:38Z)
• Uncovering Exceptional Contours in non-Hermitian Hyperbolic Matter [0.0]
  We introduce non-Hermitian hyperbolic matter and elucidate its exceptional properties in depth. We use hyperbolic Bloch theory to investigate band structures of hyperbolic lattices in the presence of non-Hermitian on-site gain and loss. Our results unveil an abundance of exceptional degeneracies in hyperbolic non-Hermitian matter.
  arXiv  Detail & Related papers  (2023-06-28T05:31:24Z)
• Mixed boundary conditions and Double-trace like deformations in Celestial holography and Wedge-like holography [1.688134675717698]
  We consider deformations of boundary conditions in flat spacetimes under flat space co-dimension-two holographies, celestial holography and Wedge-like holography. In the former celestial-holographic approach, we imposed boundary conditions on initial and final bulk states in the scattering. In the latter Wedge-like holography, we consider mixed Neumann/Dirichlet boundary conditions on the null infinity of the light-cone.
  arXiv  Detail & Related papers  (2023-05-18T07:42:05Z)
• Edge modes as dynamical frames: charges from post-selection in generally covariant theories [0.0]
  We develop a framework based on the covariant phase space formalism that identifies gravitational edge modes as dynamical reference frames. We study the symmetries consistent with such an embedding. We explain how the boundary conditions and presymplectic structure can be encoded into boundary actions.
  arXiv  Detail & Related papers  (2022-05-02T13:51:45Z)
• A Level Set Theory for Neural Implicit Evolution under Explicit Flows [102.18622466770114]
  Coordinate-based neural networks parameterizing implicit surfaces have emerged as efficient representations of geometry. We present a framework that allows applying deformation operations defined for triangle meshes onto such implicit surfaces. We show that our approach exhibits improvements for applications like surface smoothing, mean-curvature flow, inverse rendering and user-defined editing on implicit geometry.
  arXiv  Detail & Related papers  (2022-04-14T17:59:39Z)
• Exact imposition of boundary conditions with distance functions in physics-informed deep neural networks [0.5804039129951741]
  We introduce geometry-aware trial functions in artifical neural networks to improve the training in deep learning for partial differential equations. To exactly impose homogeneous Dirichlet boundary conditions, the trial function is taken as $phi$ multiplied by the PINN approximation. We present numerical solutions for linear and nonlinear boundary-value problems over domains with affine and curved boundaries.
  arXiv  Detail & Related papers  (2021-04-17T03:02:52Z)
• Geodesics in fibered latent spaces: A geometric approach to learning correspondences between conditions [62.997667081978825]
  This work introduces a geometric framework and a novel network architecture for creating correspondences between samples of different conditions. Under this formalism, the latent space is a fiber bundle stratified into a base space encoding conditions, and a fiber space encoding the variations within conditions.
  arXiv  Detail & Related papers  (2020-05-16T03:14:52Z)
• Convex Geometry and Duality of Over-parameterized Neural Networks [70.15611146583068]
  We develop a convex analytic approach to analyze finite width two-layer ReLU networks. We show that an optimal solution to the regularized training problem can be characterized as extreme points of a convex set. In higher dimensions, we show that the training problem can be cast as a finite dimensional convex problem with infinitely many constraints.
  arXiv  Detail & Related papers  (2020-02-25T23:05:33Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.