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The factorized S-matrix of CFT/AdS

by Matthias Staudacher , 2004
"... We argue that the recently discovered integrability in the large-N CFT/AdS system is equivalent to diffractionless scattering of the corresponding hidden elementary excitations. This suggests that, perhaps, the key tool for finding the spectrum of this system is neither the gauge theory’s dilatati ..."
Abstract - Cited by 240 (7 self) - Add to MetaCart
dilatation operator nor the string sigma model’s quantum Hamiltonian, but instead the respective factorized S-matrix. To illustrate the idea, we focus on the closed fermionic su(1|1) sector of the N = 4 gauge theory. We introduce a new technique, the perturbative asymptotic Bethe ansatz, and use

An Existence Proof for Interacting Quantum Field Theories with a Factorizing S-Matrix

by Gandalf Lechner - Commun. Mat. Phys
"... Within the context of quantum field theories on two-dimensional Minkowski space with a factorizing S-matrix, a new construction scheme for relativistic model theories is carried out. We show that for a large class of such S-matrices, there exists an associated local quantum field theory in the sense ..."
Abstract - Cited by 25 (0 self) - Add to MetaCart
Within the context of quantum field theories on two-dimensional Minkowski space with a factorizing S-matrix, a new construction scheme for relativistic model theories is carried out. We show that for a large class of such S-matrices, there exists an associated local quantum field theory

On the existence of local observables in theories with a factorizing S-matrix

by Gandalf Lechner - J. Phys. A , 2005
"... A recently proposed criterion for the existence of local quantum fields with a prescribed factorizing scattering matrix is verified in a non-trivial model, thereby establishing a new constructive approach to quantum field theory in a particular example. The existence proof is accomplished by analyzi ..."
Abstract - Cited by 23 (7 self) - Add to MetaCart
A recently proposed criterion for the existence of local quantum fields with a prescribed factorizing scattering matrix is verified in a non-trivial model, thereby establishing a new constructive approach to quantum field theory in a particular example. The existence proof is accomplished

Towards the construction of quantum field theories from a factorizing S-matrix

by Gandalf Lechner , 2005
"... ..."
Abstract - Cited by 16 (4 self) - Add to MetaCart
Abstract not found

Hermitian analyticity versus real analyticity in two-dimensional factorized S-matrix theories

by J. Luis Miramontes
"... The constraints implied by analyticity in two-dimensional factorised S-matrix theories are reviewed. Whenever the theory is not time-reversal invariant, it is argued that the familiar condition of ‘Real analyticity ’ for the S-matrix amplitudes has to be superseded by a different one known as ‘Hermi ..."
Abstract - Cited by 7 (0 self) - Add to MetaCart
The constraints implied by analyticity in two-dimensional factorised S-matrix theories are reviewed. Whenever the theory is not time-reversal invariant, it is argued that the familiar condition of ‘Real analyticity ’ for the S-matrix amplitudes has to be superseded by a different one known

© North-Holland Publishing Company RELATIVISTIC FACTORIZED S-MATRIX IN TWO DIMENSIONS HAVING O(N) ISOTOPIC SYMMETRY

by Alexander B. Zamolodchikov, Alexey B. Zamolodchikov , 1977
"... The factorized total S-matrix in two space-time dimensions with isotopic O(N) sym-metry is constructed. Arguments are presented that this S-matrix is the exact one of the O(N) chiral field• I. ..."
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The factorized total S-matrix in two space-time dimensions with isotopic O(N) sym-metry is constructed. Arguments are presented that this S-matrix is the exact one of the O(N) chiral field• I.

MATRIX FACTORIZATION TECHNIQUES FOR RECOMMENDER SYSTEMS

by Yehuda Koren, Robert Bell, Chris Volinsky - IEEE COMPUTER , 2009
"... As the Netflix Prize competition has demonstrated, matrix factorization models are superior to classic nearest-neighbor techniques for producing product recommendations, allowing the incorporation of additional information such as implicit feedback, temporal effects, and confidence levels. Modern co ..."
Abstract - Cited by 593 (4 self) - Add to MetaCart
As the Netflix Prize competition has demonstrated, matrix factorization models are superior to classic nearest-neighbor techniques for producing product recommendations, allowing the incorporation of additional information such as implicit feedback, temporal effects, and confidence levels. Modern

The AdS5 × S 5 superstring worldsheet S-matrix and crossing symmetry

by Romuald A. Janik , 2008
"... An S-matrix satisying the Yang-Baxter equation with symmetries relevant to the AdS5 × S 5 superstring has recently been determined up to an unknown scalar factor. Such scalar factors are typically fixed using crossing relations, however due to the lack of conventional relativistic invariance, in thi ..."
Abstract - Cited by 228 (6 self) - Add to MetaCart
An S-matrix satisying the Yang-Baxter equation with symmetries relevant to the AdS5 × S 5 superstring has recently been determined up to an unknown scalar factor. Such scalar factors are typically fixed using crossing relations, however due to the lack of conventional relativistic invariance

The Dantzig selector: statistical estimation when p is much larger than n

by Emmanuel Candes, Terence Tao , 2005
"... In many important statistical applications, the number of variables or parameters p is much larger than the number of observations n. Suppose then that we have observations y = Ax + z, where x ∈ R p is a parameter vector of interest, A is a data matrix with possibly far fewer rows than columns, n ≪ ..."
Abstract - Cited by 879 (14 self) - Add to MetaCart
In many important statistical applications, the number of variables or parameters p is much larger than the number of observations n. Suppose then that we have observations y = Ax + z, where x ∈ R p is a parameter vector of interest, A is a data matrix with possibly far fewer rows than columns, n

The Determinants of Credit Spread Changes.

by Pierre Collin-Dufresne , Robert S Goldstein , J Spencer Martin , Gurdip Bakshi , Greg Bauer , Dave Brown , Francesca Carrieri , Peter Christoffersen , Susan Christoffersen , Greg Duffee , Darrell Duffie , Vihang Errunza , Gifford Fong , Mike Gallmeyer , Laurent Gauthier , Rick Green , John Griffin , Jean Helwege , Kris Jacobs , Chris Jones , Andrew Karolyi , Dilip Madan , David Mauer , Erwan Morellec , Federico Nardari , N R Prabhala , Tony Sanders , Sergei Sarkissian , Bill Schwert , Ken Singleton , Chester Spatt , René Stulz - Journal of Finance , 2001
"... ABSTRACT Using dealer's quotes and transactions prices on straight industrial bonds, we investigate the determinants of credit spread changes. Variables that should in theory determine credit spread changes have rather limited explanatory power. Further, the residuals from this regression are ..."
Abstract - Cited by 422 (2 self) - Add to MetaCart
spreads, with most of the remainder attributable to a single systematic factor. Similarly, Duffie and Singleton (1999) find that both credit-risk and liquidity factors are necessary to explain innovations in U.S. swap rates. However, when analyzing the residuals they are unable to find explanatory factors
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