The Experts below are selected from a list of 57 Experts worldwide ranked by ideXlab platform
Kentaroh Yoshida - One of the best experts on this subject based on the ideXlab platform.
-
Yang-Baxter σ -models, conformal twists, and noncommutative Yang-Mills theory
Physical Review D, 2017Co-Authors: Thiago R. Araujo, Ilya Bakhmatov, E. Ó Colgáin, Jun-ichi Sakamoto, Mohammad M. Sheikh-jabbari, Kentaroh YoshidaAbstract:The Yang-Baxter σ-model is a systematic way to generate integrable deformations of AdS5×S5. We recast the deformations as seen by open Strings, where the metric is undeformed AdS5×S5 with Constant String coupling, and all information about the deformation is encoded in the noncommutative (NC) parameter Θ. We identify the deformations of AdS5 as twists of the conformal algebra, thus explaining the noncommutativity. We show that the unimodularity condition on r-matrices for supergravity solutions translates into Θ being divergence-free. Integrability of the σ-model for unimodular r-matrices implies the existence and planar integrability of the dual NC gauge theory.
-
Yang-Baxter $\sigma$-models, conformal twists & noncommutative Yang-Mills
arXiv: High Energy Physics - Theory, 2017Co-Authors: Thiago R. Araujo, Ilya Bakhmatov, E. Ó Colgáin, Jun-ichi Sakamoto, Mohammad M. Sheikh-jabbari, Kentaroh YoshidaAbstract:The Yang-Baxter $\sigma$-model is a systematic way to generate integrable deformations of AdS$_5\times$S$^5$. We recast the deformations as seen by open Strings, where the metric is undeformed AdS$_5\times$S$^5$ with Constant String coupling, and all information about the deformation is encoded in the noncommutative (NC) parameter $\Theta$. We identify the deformations of AdS$_5$ as twists of the conformal algebra, thus explaining the noncommutativity. We show that the unimodularity conditon on $r$-matrices for supergravity solutions translates into $\Theta$ being divergence-free. Integrability of the $\sigma$-model for unimodular $r$-matrices implies the existence and planar integrability of the dual NC gauge theory.
Thiago R. Araujo - One of the best experts on this subject based on the ideXlab platform.
-
Yang-Baxter σ -models, conformal twists, and noncommutative Yang-Mills theory
Physical Review D, 2017Co-Authors: Thiago R. Araujo, Ilya Bakhmatov, E. Ó Colgáin, Jun-ichi Sakamoto, Mohammad M. Sheikh-jabbari, Kentaroh YoshidaAbstract:The Yang-Baxter σ-model is a systematic way to generate integrable deformations of AdS5×S5. We recast the deformations as seen by open Strings, where the metric is undeformed AdS5×S5 with Constant String coupling, and all information about the deformation is encoded in the noncommutative (NC) parameter Θ. We identify the deformations of AdS5 as twists of the conformal algebra, thus explaining the noncommutativity. We show that the unimodularity condition on r-matrices for supergravity solutions translates into Θ being divergence-free. Integrability of the σ-model for unimodular r-matrices implies the existence and planar integrability of the dual NC gauge theory.
-
Yang-Baxter $\sigma$-models, conformal twists & noncommutative Yang-Mills
arXiv: High Energy Physics - Theory, 2017Co-Authors: Thiago R. Araujo, Ilya Bakhmatov, E. Ó Colgáin, Jun-ichi Sakamoto, Mohammad M. Sheikh-jabbari, Kentaroh YoshidaAbstract:The Yang-Baxter $\sigma$-model is a systematic way to generate integrable deformations of AdS$_5\times$S$^5$. We recast the deformations as seen by open Strings, where the metric is undeformed AdS$_5\times$S$^5$ with Constant String coupling, and all information about the deformation is encoded in the noncommutative (NC) parameter $\Theta$. We identify the deformations of AdS$_5$ as twists of the conformal algebra, thus explaining the noncommutativity. We show that the unimodularity conditon on $r$-matrices for supergravity solutions translates into $\Theta$ being divergence-free. Integrability of the $\sigma$-model for unimodular $r$-matrices implies the existence and planar integrability of the dual NC gauge theory.
Hiroki Arimura - One of the best experts on this subject based on the ideXlab platform.
-
Inductive inference of unbounded unions of pattern languages from positive data
Theoretical Computer Science, 2000Co-Authors: Takeshi Shinohara, Hiroki ArimuraAbstract:AbstractA pattern is a String consisting of Constant symbols and variables. The language of a pattern is the set of Constant Strings obtained by substituting nonempty Constant Strings for variables in the pattern. In this paper we consider the inductive inference of unbounded unions of pattern languages from positive data. For any fixed k, the class of unions of at most k pattern languages is already shown to be inferable from positive data. The class of unbounded unions is not inferable, because any pattern with at least one variable defines an infinite language and any Constant String defines a singleton set consisting of itself, and therefore, the class of unions becomes super-finite, that is, it contains all the finite languages and at least one infinite language. In this paper, we consider several restrictions on patterns to investigate the inferability of unbounded unions of their languages from positive data. A proper pattern contains at least one variable. A regular pattern contains at most one occurrence of every variable. Although the class of unbounded unions of proper pattern languages is not super-finite, it is shown not to be inferable from positive data, even if patterns are restricted to be regular or one-variable. When regular patterns are restricted to be of the form “xwy”, where x and y are variables and w is a Constant String, the class of unbounded unions is shown to be inferable from positive data. When regular patterns do not contain more than l consecutive occurrences of Constant symbols, for some fixed l, the class of unbounded unions is shown to be inferable from positive data. Extended pattern languages, where substitutions of the empty String for some variables are allowed, are also considered from the viewpoint of relationship to the inferability of unbounded unions of non-extended pattern languages
-
ALT - Inductive Inference of Unbounded Unions of Pattern Languages from Positive Data
1996Co-Authors: Takeshi Shinohara, Hiroki ArimuraAbstract:A pattern is a String consisting of Constant symbols and variables. The language of a pattern is the set of Constant Strings obtained by substituting nonempty Constant Strings for variables in the pattern. For any fixed k, the class of unions of at most k pattern languages is already shown to be inferable from positive data. The class of all the unions of arbitrarily finitely many pattern languages is not inferable, because any Constant String defines a singleton set consisting of itself, and the class of unions contains all the finite languages. A proper pattern is a pattern that contains at least one variable. The language of a proper pattern is infinite. In this paper, we consider the class of unions when patterns are restricted to be proper and show that the class is not inferable from positive data. A regular pattern is a pattern that contains at most one occurrence of every variable. When regular patterns are restricted not to contain more than l consecutive occurrences of Constant symbols for some l, the class of unions is shown to be inferable from positive data.
Jun-ichi Sakamoto - One of the best experts on this subject based on the ideXlab platform.
-
Yang-Baxter σ -models, conformal twists, and noncommutative Yang-Mills theory
Physical Review D, 2017Co-Authors: Thiago R. Araujo, Ilya Bakhmatov, E. Ó Colgáin, Jun-ichi Sakamoto, Mohammad M. Sheikh-jabbari, Kentaroh YoshidaAbstract:The Yang-Baxter σ-model is a systematic way to generate integrable deformations of AdS5×S5. We recast the deformations as seen by open Strings, where the metric is undeformed AdS5×S5 with Constant String coupling, and all information about the deformation is encoded in the noncommutative (NC) parameter Θ. We identify the deformations of AdS5 as twists of the conformal algebra, thus explaining the noncommutativity. We show that the unimodularity condition on r-matrices for supergravity solutions translates into Θ being divergence-free. Integrability of the σ-model for unimodular r-matrices implies the existence and planar integrability of the dual NC gauge theory.
-
Yang-Baxter $\sigma$-models, conformal twists & noncommutative Yang-Mills
arXiv: High Energy Physics - Theory, 2017Co-Authors: Thiago R. Araujo, Ilya Bakhmatov, E. Ó Colgáin, Jun-ichi Sakamoto, Mohammad M. Sheikh-jabbari, Kentaroh YoshidaAbstract:The Yang-Baxter $\sigma$-model is a systematic way to generate integrable deformations of AdS$_5\times$S$^5$. We recast the deformations as seen by open Strings, where the metric is undeformed AdS$_5\times$S$^5$ with Constant String coupling, and all information about the deformation is encoded in the noncommutative (NC) parameter $\Theta$. We identify the deformations of AdS$_5$ as twists of the conformal algebra, thus explaining the noncommutativity. We show that the unimodularity conditon on $r$-matrices for supergravity solutions translates into $\Theta$ being divergence-free. Integrability of the $\sigma$-model for unimodular $r$-matrices implies the existence and planar integrability of the dual NC gauge theory.
Mohammad M. Sheikh-jabbari - One of the best experts on this subject based on the ideXlab platform.
-
Yang-Baxter σ -models, conformal twists, and noncommutative Yang-Mills theory
Physical Review D, 2017Co-Authors: Thiago R. Araujo, Ilya Bakhmatov, E. Ó Colgáin, Jun-ichi Sakamoto, Mohammad M. Sheikh-jabbari, Kentaroh YoshidaAbstract:The Yang-Baxter σ-model is a systematic way to generate integrable deformations of AdS5×S5. We recast the deformations as seen by open Strings, where the metric is undeformed AdS5×S5 with Constant String coupling, and all information about the deformation is encoded in the noncommutative (NC) parameter Θ. We identify the deformations of AdS5 as twists of the conformal algebra, thus explaining the noncommutativity. We show that the unimodularity condition on r-matrices for supergravity solutions translates into Θ being divergence-free. Integrability of the σ-model for unimodular r-matrices implies the existence and planar integrability of the dual NC gauge theory.
-
Yang-Baxter $\sigma$-models, conformal twists & noncommutative Yang-Mills
arXiv: High Energy Physics - Theory, 2017Co-Authors: Thiago R. Araujo, Ilya Bakhmatov, E. Ó Colgáin, Jun-ichi Sakamoto, Mohammad M. Sheikh-jabbari, Kentaroh YoshidaAbstract:The Yang-Baxter $\sigma$-model is a systematic way to generate integrable deformations of AdS$_5\times$S$^5$. We recast the deformations as seen by open Strings, where the metric is undeformed AdS$_5\times$S$^5$ with Constant String coupling, and all information about the deformation is encoded in the noncommutative (NC) parameter $\Theta$. We identify the deformations of AdS$_5$ as twists of the conformal algebra, thus explaining the noncommutativity. We show that the unimodularity conditon on $r$-matrices for supergravity solutions translates into $\Theta$ being divergence-free. Integrability of the $\sigma$-model for unimodular $r$-matrices implies the existence and planar integrability of the dual NC gauge theory.