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"http://arxiv.org/licenses/nonexclusive-distrib/1.0/", "/static/browse/0.3.4/images/icons/cu/cornell-reduced-white-SMALL.svg", "https://reddit.com/submit?url=https://arxiv.org/abs/1406.3536\u0026title=Marginal scalar and Proca clouds around Reissner-Nordstr\\\"om black holes", "https://arxiv.org/", "/list/gr-qc/2014-06", "https://www.catalyzex.com" ], "httpBodyMetaTags": { "description": "Abstract page for arXiv paper 1406.3536: Marginal scalar and Proca clouds around Reissner-Nordström black holes", "og:description": "Massive scalar test fields around Kerr black holes can form quasi-bound states with complex frequencies. Some of these states decay in time, but some others -- in the superradiant regime -- grow, causing a superradiant instability. Precisely at the threshold between decaying and growing modes, there exist bound states with real frequency, known as scalar clouds. Fully non-linear counterparts of these clouds have been shown to yield Kerr black holes with scalar hair. Here, we consider massive, (electrically) charged, test scalar and Proca fields on the background of Reissner-Nordström black holes. By computing the quasi-bound state frequencies, we establish that no such states exist in the superradiant regime for the Proca field -- a similar behavior to that known for scalar fields. But decaying quasi-bound states with an arbitrarily small imaginary part of the frequency exist and thus which are arbitrarily long lived. In the limit of vanishing imaginary part of the frequency, the field does not trivialize and we dub the corresponding configurations as marginal (charged) scalar or Proca clouds, since they are only marginally bound. We comment on the possible existence of non-linear counterparts to these marginal clouds.", "twitter:description": "Massive scalar test fields around Kerr black holes can form quasi-bound states with complex frequencies. Some of these states decay in time, but some others -- in the superradiant regime -- grow,..." }, "httpBodyByteSize": 48111, "httpBodyPageTitle": "[1406.3536] Marginal scalar and Proca clouds around Reissner-Nordström black holes" }, "/abs/1906.03457": { "date": "2026-02-06T18:39:47Z", "httpProtocol": "h2, tls/1.3", "httpStatus": 200, "ipAddress": "151.101.195.42", "ipASN": "Fastly, Inc.", "ipCountry": "United States", "httpHeaderHash": "I3BO4DJFTAWUIJJH3AKSYF672DE45P2S", "httpHeaderTechnologies": [ "Varnish", "Google Cloud", "Google Cloud Trace" ], "httpHeaderUrls": [], "httpHeaderByteSize": 629, "httpBodyHash": "MOELA6L4CGRPLD5MXSRQL3RYYNLVECAL", "httpBodyTechnologies": [ "jsDelivr", "jQuery CDN", "jQuery" ], "httpBodyUrls": [ "/show-email/489c93a3/1906.03457", "https://huggingface.co/huggingface", "https://ui.adsabs.harvard.edu/abs/arXiv:1906.03457", "/static/browse/0.3.4/images/icons/favicon-16x16.png", "//cdn.jsdelivr.net/npm/js-cookie@2/src/js.cookie.min.js", "/list/math.SG/new", "https://www.cornell.edu/", "https://replicate.com/docs/arxiv/about", "/static/browse/0.3.4/images/icons/apple-touch-icon.png", "https://scholar.google.com/scholar_lookup?arxiv_id=1906.03457", "https://info.arxiv.org/labs/showcase.html#arxiv-bibliographic-explorer", "http://www.bibsonomy.org/BibtexHandler?requTask=upload\u0026url=https://arxiv.org/abs/1906.03457\u0026description=S^1-equivariant contact homology for hypertight contact forms", "https://dagshub.com/", "/abs/1906.03457v2", "/list/math.SG/2019-06", "https://arxiv.org/abs/1906.03457", "https://info.arxiv.org/about/donate.html", "/static/browse/0.3.4/js/mathjaxToggle.min.js", "/static/browse/0.3.4/js/toggle-labs.js?20241022", "/static/browse/0.3.4/images/icons/site.webmanifest", "https://status.arxiv.org", "https://www.catalyzex.com", "https://sciencecast.org/welcome", "https://core.ac.uk/services/recommender", "/static/browse/0.3.4/css/arXiv-print.css?v=20200611", "/static/browse/0.3.4/images/icons/social/reddit.png", "http://arxiv.org/licenses/nonexclusive-distrib/1.0/", "/static/browse/0.3.4/images/icons/safari-pinned-tab.svg", "https://www.litmaps.co/", "https://doi.org/10.48550/arXiv.1906.03457", "/static/browse/0.3.4/js/optin-modal.js?v=20250819", "/auth/show-endorsers/1906.03457", "/static/browse/0.3.4/images/icons/social/bibsonomy.png", "https://static.arxiv.org/js/bibex-dev/bibex.css?20200709", "//cdn.jsdelivr.net/npm/dompurify@2.3.5/dist/purify.min.js", "https://reddit.com/submit?url=https://arxiv.org/abs/1906.03457\u0026title=S^1-equivariant contact homology for hypertight contact forms", "/pdf/1906.03457", "https://alphaxiv.org/", "https://www.scite.ai/", "https://info.arxiv.org/about/ourmembers.html", "https://paperswithcode.com/", "https://influencemap.cmlab.dev/", "https://arxiv.org/search/advanced", "https://arxiv.org/abs/1906.03457v1", "https://www.connectedpapers.com/about", "https://huggingface.co/docs/hub/spaces", "https://info.arxiv.org/help/license/index.html", "https://info.arxiv.org/labs/index.html", "/abs/1906.03457?context=math", "/list/math.SG/recent", "/", "https://arxiv.org/", "https://info.arxiv.org/help", "https://info.arxiv.org/help/subscribe", "/static/browse/0.3.4/images/arxiv-logo-one-color-white.svg", "/static/browse/0.3.4/images/arxiv-logomark-small-white.svg", "https://arxiv.org/search/math?searchtype=author\u0026query=Nelson,+J", "/static/browse/0.3.4/images/icons/cu/cornell-reduced-white-SMALL.svg", "https://info.arxiv.org/help/mathjax.html", "https://api.semanticscholar.org/arXiv:1906.03457", "https://info.arxiv.org/help/policies/privacy_policy.html", "/abs/1906.03457v1", "https://arxiv.org/login", "https://info.arxiv.org/about", "javascript:setMathjaxCookie()", "/static/browse/0.3.4/js/cite.js", "https://arxiv.org/abs/1906.03457v3", "//code.jquery.com/jquery-latest.min.js", "/static/browse/0.3.4/images/icons/favicon-32x32.png", "/static/base/1.0.1/css/abs.css", "#content", "/src/1906.03457", "https://txyz.ai", "/static/browse/0.3.4/js/accordion.js", "/static/browse/0.3.4/css/arXiv.css?v=20241206", "/prevnext?id=1906.03457\u0026function=prev\u0026context=math.SG", "https://arxiv.org/search/math?searchtype=author\u0026query=Hutchings,+M", "http://gotit.pub/faq", "https://info.arxiv.org/help/contact.html", "/static/browse/0.3.4/css/browse_search.css", "/static/base/1.0.1/js/member_acknowledgement.js", "https://info.arxiv.org/help/web_accessibility.html", "/IgnoreMe", "/static/browse/0.3.4/css/tooltip.css", "/prevnext?id=1906.03457\u0026function=next\u0026context=math.SG", "/list/math/recent" ], "httpBodyMetaTags": { "description": "Abstract page for arXiv paper 1906.03457: S^1-equivariant contact homology for hypertight contact forms", "og:description": "In a previous paper, we showed that the original definition of cylindrical contact homology, with rational coefficients, is valid on a closed three-manifold with a dynamically convex contact form. However we did not show that this cylindrical contact homology is an invariant of the contact structure.\n In the present paper, we define \"nonequivariant contact homology\" and \"S^1-equivariant contact homology\", both with integer coefficients, for a contact form on a closed manifold in any dimension with no contractible Reeb orbits. We prove that these contact homologies depend only on the contact structure. Our construction uses Morse-Bott theory and is related to the positive S^1-equivariant symplectic homology of Bourgeois-Oancea. However, instead of working with Hamiltonian Floer homology, we work directly in contact geometry, using families of almost complex structures. When cylindrical contact homology can also be defined, it agrees with the tensor product of the S^1-equivariant contact homology with Q. We also present examples showing that the S^1-equivariant contact homology contains interesting torsion information.\n In a subsequent paper we will use obstruction bundle gluing to extend the above story to closed three-manifolds with dynamically convex contact forms, which in particular will prove that their cylindrical contact homology has a lift to integer coefficients which depends only on the contact structure.", "twitter:description": "In a previous paper, we showed that the original definition of cylindrical contact homology, with rational coefficients, is valid on a closed three-manifold with a dynamically convex contact form...." }, "httpBodyByteSize": 46186, "httpBodyPageTitle": "[1906.03457] S^1-equivariant contact homology for hypertight contact forms" }, "/abs/2002.01354": { "date": "2026-02-06T19:02:04Z", "httpProtocol": "h2, tls/1.3", "httpStatus": 200, "ipAddress": "151.101.195.42", "ipASN": "Fastly, Inc.", "ipCountry": "United States", "httpHeaderHash": 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The future research program is outlined also.", "twitter:description": "It is shown that all predictions for the light scalars, based on their four-quark nature, are supported by experiment. 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Thus, if loop quantum cosmology (LQC) is to provide an accurate depiction of the real world, it must allow for quantum states of spacetime geometry which are semi-classical in two respects: they must be sharply peaked around a single, classical geometry, and they must have small quantum fluctuations. It is generally assumed that Gaussian states exhibit both of these properties. After all, they do in ordinary quantum mechanics. In this paper, we derive exact closed-form expressions for the fluctuations of Gaussian states in LQC and their lower bound given by the Robertson-Schrödinger inequality. We demonstrate that, contrary to ordinary quantum mechanics, fluctuations for Gaussian states in spatially flat, homogeneous and isotropic LQC diverge as the state variance increases (as well as in related cosmological models with the same kinematic Hilbert space and canonical observables). 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These neutrinos can scatter and boost the DM particles in the Milky Way halo to relativistic energies allowing us to detect them in terrestrial laboratories. Focusing on generic models of DM-neutrino and electron interactions, mediated by a vector or a scalar boson, we implement energy-dependent scattering cross-sections and perform detailed numerical analysis of DM attenuation due to electron scattering in-medium while propagating towards terrestrial experiments. We set new limits on DM-neutrino and electron interactions for DM with masses in the range $\\sim (0.1, 10^4)~$MeV, using recent data from XENONnT, LUX-ZEPLIN, and PandaX-4T direct detection experiments. 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