Results 1 to 10 of about 58,030 (68)

Hilbert transforms and the Cauchy integral in euclidean space [PDF]

, 2009
We generalize the notion of harmonic conjugate functions and Hilbert transforms to higher dimensional euclidean spaces, in the setting of differential forms and the Hodge-Dirac system.
Axelsson, Andreas, Kou, Kit Ian, Qian, Tao   +2 more
core   +1 more source

Triangulated Surfaces in Twistor Space: A Kinematical Set up for Open/Closed String Duality [PDF]

, 2006
We exploit the properties of the three-dimensional hyperbolic space to discuss a simplicial setting for open/closed string duality based on (random) Regge triangulations decorated with null twistorial fields.
C. Petronio, Claudio Dappiaggi, D. Gaiotto, E. Looijenga, E. Witten, F. Costantino, G. Mondello, H. Hamber, H. Murakami, H. Murakami, J. Ambjörn, J. Ambjörn, J.R. David, K. Krasnov, K. Strebel, M. Carfora, M. Mirzakhani, M. Mirzakhani, M. Mulase, Mauro Carfora, O. Aharony, P. Baird, P. Zograf, R. Benedetti, R. Gopakumar, R. Kaufmann, R.C. Penner, S. Baseilhac, S. Grushevsky, S. Moroianu, S. Moroianu, T. Ohtsuki (ed), Valeria L Gili, W.P. Thurston, Y.I. Manin   +34 more
core   +5 more sources

Isotopic tiling theory for hyperbolic surfaces [PDF]

, 2020
In this paper, we develop the mathematical tools needed to explore isotopy classes of tilings on hyperbolic surfaces of finite genus, possibly nonorientable, with boundary, and punctured.
Evans, Myfanwy E., Kolbe, Benedikt
core   +3 more sources

Integrable Background Geometries [PDF]

, 2014
This work has its origins in an attempt to describe systematically the integrable geometries and gauge theories in dimensions one to four related to twistor theory. In each such dimension, there is a nondegenerate integrable geometric structure, governed
Calderbank, David M. J.
core   +4 more sources

On membrane interactions and a three-dimensional analog of Riemann surfaces [PDF]

, 2015
Membranes in M-theory are expected to interact via splitting and joining processes. We study these effects in the pp-wave matrix model, in which they are associated with transitions between states in sectors built on vacua with different numbers of ...
Kovacs, Stefano, Sato, Yuki, Shimada, Hidehiko   +2 more
core   +3 more sources

Exploring de Sitter Space and Holography [PDF]

, 2002
We explore aspects of the physics of de Sitter (dS) space that are relevant to holography with a positive cosmological constant. First we display a nonlocal map that commutes with the de Sitter isometries, transforms the bulk-boundary propagator and ...
Allen, Allen, Bal, Balasubramanian, Balasubramanian, Balasubramanian, Balasubramanian, Balasubramanian, Balasubramanian, Balasubramanian, Banados, Bautier, Bekenstein, Berglund, Bos, Boschi-Filho, Bousso, Bousso, Bousso, Breitenlohner, Brown, Brown, Bunch, Burges, Cai, Candelas, Carlip, Chernikov, Coussaert, Danielsson, de Boer, de Haro, Deo, Deser, Djordje Minic, Dowker, Elitzur, Fefferman, Figari, Gaberdiel, Gates, Gates, Gelfand, Ghezelbash, Gibbons, Gibbons, Gibbons, Giddings, Govindarajan, Gubser, Gunaydin, Gunaydin, Gutperle, Hawking, Helgason, Henningson, Howe, Hull, Hull, Hull, Hull, Hull, Hull, Hull, Hull, Hull, Jan de Boer, Janik, Kallosh, Klemm, Kristjansson, Kruczenski, Laflamme, Lapedes, Larsen, Leblond, Lin, Liu, Lohya, Maldacena, Maldacena, Maldacena, Maximo Banados, Mazur, Mottola, Mottola, Mu-In Park, Naimark, Nicolai, Nojiri, Nojiri, Per Kraus, Pernici, Pilch, Ratra, Rooman, Schomblond, Schrodinger, Sen, Simon, Skenderis, Skenderis, Spradlin, Strominger, Strominger, Susskind, Tagirov, Teschner, Vijay Balasubramanian, Witten, Witten, Witten, Witten, ’tHooft   +113 more
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Isoparametric and Dupin Hypersurfaces [PDF]

, 2008
A hypersurface $M^{n-1}$ in a real space-form ${\bf R}^n$, $S^n$ or $H^n$ is isoparametric if it has constant principal curvatures. For ${\bf R}^n$ and $H^n$, the classification of isoparametric hypersurfaces is complete and relatively simple, but as ...
Cecil, Thomas E.
core   +7 more sources

Minimality of planes in normed spaces

, 2012
We prove that a region in a two-dimensional affine subspace of a normed space $V$ has the least 2-dimensional Hausdorff measure among all compact surfaces with the same boundary.
A.C. Thompson, D. Burago, D. Burago, Dmitri Burago, F.J. Almgren Jr., H. Busemann, H. Busemann, H. Busemann, H. Busemann, H. Busemann, M. Gromov, R.D. Holmes, Sergei Ivanov   +12 more
core   +1 more source

Intertwined Hamiltonians in Two Dimensional Curved Spaces

, 2004
The problem of intertwined Hamiltonians in two dimensional curved spaces is investigated. Explicit results are obtained for Euclidean plane,Minkowski plane, Poincar{\' e} half plane ($AdS_2$), de Sitter Plane ($dS_2$), sphere, and torus. It is shown that
Aghababaei Samani, Aghababaei Samani, Bakalov, Balazs, Cariñena, Cooper, Demircioğlu, Dobrev, Gutzwillwer, Kalnins, Keivan Aghababaei Samani, Kuru, Mateev, Milanoviv, Mina Zarei, Mostafazadeh   +15 more
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Geometric entropy, area, and strong subadditivity

, 2004
The trace over the degrees of freedom located in a subset of the space transforms the vacuum state into a density matrix with non zero entropy. This geometric entropy is believed to be deeply related to the entropy of black holes.
Araki H, Barbón J L F, Bekenstein J D, Bekenstein J D, Bombelli L, Bousso R, Brustein R Oaknin D H Yarom A, Brustein R Yarom A, Brustein R Yarom A, Casini H, Casini H, Casini H, Casini H Huerta M, Cegla W, Cegla W Florek J, Demers J D, Dowker J S, Flanagan E E, Frolov V, Gibbons G W, H Casini, Haag R, Hawking S W, Hotta M, Jacobson T, Lieb E H, Oaknin D H, Robinson D W, See also Mukohyama S, Solodukhin S N, Strominger A Thompson D, Susskind L, Wald R M, Wehrl A   +33 more
core   +4 more sources