Results 61 to 70 of about 16,500 (137)

The Mathai-Quillen Formalism and Topological Field Theory

, 1992
These lecture notes give an introductory account of an approach to cohomological field theory due to Atiyah and Jeffrey which is based on the construction of Gaussian shaped Thom forms by Mathai and Quillen.
Alvarez-Gaumé, Alvarez-Gaumé, Atiyah, Atiyah, Atiyah, Atiyah, Axelrod, Babelon, Baulieu, Birmingham, Birmingham, Bismut, Bismut, Blau, Blau, Bott, Dijkgraaf, Distler, Donaldson, Donaldson, Donaldson, Freed, Friedan, Groisser, Kalkman, Mathai, Matthias Blau, Montano, Narasimhan, Singer, Sonnenschein, Taubes, Thompson, Witten, Witten, Witten, Witten, Witten, Witten, Witten, Witten, Witten, Witten   +42 more
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de Sitter State in Heterotic String Theory

Fortschritte der Physik, Volume 72, Issue 11, November 2024.
Abstract Recent no‐go theorems have ruled out four‐dimensional classical de Sitter vacua in heterotic string theory. On the other hand, the absence of a well‐defined Wilsonian effective action and other related phenomena also appear to rule out such time‐dependent vacua with de Sitter isometries, even in the presence of quantum corrections.
Stephon Alexander, Keshav Dasgupta, Archana Maji, Pichai Ramadevi, Radu Tatar   +4 more
wiley   +1 more source

Wegner estimate and upper bound on the eigenvalue condition number of non‐Hermitian random matrices

Communications on Pure and Applied Mathematics, Volume 77, Issue 9, Page 3785-3840, September 2024.
Abstract We consider N×N$N\times N$ non‐Hermitian random matrices of the form X+A$X+A$, where A$A$ is a general deterministic matrix and NX$\sqrt {N}X$ consists of independent entries with zero mean, unit variance, and bounded densities. For this ensemble, we prove (i) a Wegner estimate, that is, that the local density of eigenvalues is bounded by N1+o(
László Erdős, Hong Chang Ji
wiley   +1 more source

Theory of K\"ahler Gravity

, 1994
In this paper we discuss the connection on a space of $N=2$ TCFT's that appears in the context of background (in)dependence. We formulate a family of {\it target space field theories} with a similar connection on it.
Bershadsky, Michael, Sadov, Vladimir
core   +1 more source

Link splitting deformation of colored Khovanov–Rozansky homology

Proceedings of the London Mathematical Society, Volume 129, Issue 3, September 2024.
Abstract We introduce a multiparameter deformation of the triply‐graded Khovanov–Rozansky homology of links colored by one‐column Young diagrams, generalizing the “y$y$‐ified” link homology of Gorsky–Hogancamp and work of Cautis–Lauda–Sussan. For each link component, the natural set of deformation parameters corresponds to interpolation coordinates on ...
Matthew Hogancamp, David E. V. Rose, Paul Wedrich   +2 more
wiley   +1 more source

Lattice supersymmetry, superfields and renormalization

, 2004
We study Euclidean lattice formulations of non-gauge supersymmetric models with up to four supercharges in various dimensions. We formulate the conditions under which the interacting lattice theory can exactly preserve one or more nilpotent anticommuting
A.G. Cohen, A.G. Cohen, D.B. Kaplan, D.B. Kaplan, Erich Poppitz, F. Sugino, F. Sugino, for a more recent list of references, I. Montvay, J. Giedt, J. Wess, Joel Giedt, K. Hori, M. Beccaria, O. Lunin, P.H. Dondi, S. Catterall, S. Catterall, S. Catterall, S. Catterall, see also K. Hori ., T. Reisz, T. Reisz, T. Reisz, Y. Kikukawa   +24 more
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Iwahori‐metaplectic duality

Journal of the London Mathematical Society, Volume 109, Issue 6, June 2024.
Abstract We construct a family of solvable lattice models whose partition functions include p$p$‐adic Whittaker functions for general linear groups from two very different sources: from Iwahori‐fixed vectors and from metaplectic covers. Interpolating between them by Drinfeld twisting, we uncover unexpected relationships between Iwahori and metaplectic ...
Ben Brubaker, Valentin Buciumas, Daniel Bump, Henrik P. A. Gustafsson   +3 more
wiley   +1 more source

Octonionic Magical Supergravity, Niemeier Lattices, and Exceptional & Hilbert Modular Forms

Fortschritte der Physik, Volume 72, Issue 2, February 2024.
Abstract The quantum degeneracies of Bogomolny‐Prasad‐Sommerfield (BPS) black holes of octonionic magical supergravity in five dimensions are studied. Quantum degeneracy is defined purely number theoretically as the number of distinct states in charge space with a given set of invariant labels.
Murat Günaydin, Abhiram Kidambi
wiley   +1 more source

The Geometric Phase in Supersymmetric Quantum Mechanics

, 2008
We explore the geometric phase in N=(2,2) supersymmetric quantum mechanics. The Witten index ensures the existence of degenerate ground states, resulting in a non-Abelian Berry connection.
A. D. Shapere, A. M. Polyakov, A. M. Polyakov, A. V. Smilga, Chris Pedder, David Tong, E. Witten, J. Moody, Julian Sonner   +8 more
core   +1 more source

Large-N reduced models of supersymmetric quiver, Chern-Simons gauge theories and ABJM

, 2009
Using the Eguchi-Kawai equivalence, we provide regularizations of supersymmetric quiver and Chern-Simons gauge theories which leave the supersymmetries unbroken. This allow us to study many interesting theories on a computer.
B. Bringoltz, D. Gaiotto, D.E. Berenstein, G. Ishiki, G. Ishiki, J. Giedt, J. Wess, J.H. Schwarz, J.M. Maldacena, K. Hosomichi, Lorenzo Mannelli, M. Hanada, Masanori Hanada, O. Aharony, P. Kovtun, P.F. Bedaque, S. Catterall, S. Catterall, S.R. Das, T. Azeyanagi, W. Bietenholz, Yoshinori Matsuo   +21 more
core   +2 more sources