Advanced glycation end products (AGE) are formed in long-lived matrix proteins by a nonenzymatic reaction with sugar. The presence of AGE beta 2-microglobulin-amyloid fibrils dialysis-related amyloidosis, one the characteristic features which is an accelerated bone resorption around amyloid deposits, was recently demonstrated. This suggested potential link and initiated this investigation whether enhance resorption. When mouse unfractionated cells containing osteoclasts were cultured on...

We consider Jordanian deformations of the AdS5 × S5 superstring action. These correspond to non-standard q-deformations. In particular, it is possible perform a partial deformation, for example, part only, or only. Then classical action and Lax pair are constructed with linear, twisted extended R operator. It shown that preserves κ-symmetry.

It is known that Yang-Baxter sigma models provide a systematic way to study integrable deformations of both principal chiral and symmetric coset models. In the original proposal its subsequent development, have been characterized by classical $r$-matrices satisfying modified equation (mCYBE). this article, we propose based on equations (CYBE) rather than mCYBE. This generalization enables us utilize various kinds solutions CYBE classify deformations. particular, it straightforward realize...

We consider γ-deformations of the AdS5×S5 superstring as Yang-Baxter sigma models with classical r-matrices satisfying equation (CYBE). An essential point is that are composed Cartan generators only and then generate abelian twists. present examples lead to real superstring. Finally we discuss a possible classification integrable deformations corresponding gravity solution in terms solutions CYBE. This may be called gravity/CYBE correspondence.

We derive the gravity duals of noncommutative gauge theories from Yang-Baxter sigma model description AdS_5xS^5 superstring with classical r-matrices. The corresponding r-matrices are 1) solutions equation (CYBE), 2) skew-symmetric, 3) nilpotent and 4) abelian. Hence these should be called abelian Jordanian deformations. As a result, shown to integrable deformations AdS_5xS^5. Then, twists AdS_5 also investigated. These results provide support for gravity/CYBE correspondence proposed in...

The Yang-Baxter $\ensuremath{\sigma}$-model is a systematic way to generate integrable deformations of ${\mathrm{AdS}}_{5}\ifmmode\times\else\texttimes\fi{}{\mathrm{S}}^{5}$. We recast the as seen by open strings, where metric undeformed ${\mathrm{AdS}}_{5}\ifmmode\times\else\texttimes\fi{}{\mathrm{S}}^{5}$ with constant string coupling, and all information about deformation encoded in noncommutative (NC) parameter $\mathrm{\ensuremath{\Theta}}$. identify ${\mathrm{AdS}}_{5}$ twists...

We consider a Jordanian deformation of the AdS5×S5 superstring action by taking simple R-operator which satisfies classical Yang-Baxter equation. The metric and NS-NS two-form are explicitly derived with coordinate system. Only AdS part is deformed resulting geometry contains 3D Schrödinger spacetime as subspace. Then we present full solution in type IIB supergravity determining other field components. In particular, dilaton constant R-R three-form strength turned on. symmetry [SL(2, $$...

We further study integrable deformations of the AdS5×S5 superstring by following Yang-Baxter sigma model approach with classical r-matrices satisfying equation (CYBE). Deformed string backgrounds specified are considered as solutions type IIB supergravity, and therefore relation between gravitational may be called gravity/CYBE correspondence. In this paper, we present a family associated carrying two parameters its three-parameter generalization. The two-parameter case leads to metric NS-NS...

We show that SU(2)_L Yangian and q-deformed SU(2)_R symmetries are realized in a two-dimensional sigma model defined on three-dimensional squashed sphere. These enable us to develop the two descriptions describe its classical dynamics, 1) rational 2) trigonometric descriptions. The former is based symmetry latter comes from broken symmetry. Each of Lax pairs constructed both ways leads same equations motion. related one another through non-local map.

Recently, generalized equations of type IIB supergravity have been derived from the requirement classical kappa-symmetry superstring theory in Green-Schwarz formulation. These are covariant under T -duality transformations and hence one may expect a formulation similar to double field (DFT). In this paper, we consider modification DFT motion by relaxing condition for derivative with an extra vector. modified (mDFT), show that flatness Ricci tensor leads NS-NS part supergravity. particular,...

We present further examples of the correspondence between deformed AdS5×S5 solutions type IIB supergravity and classical r-matrices satisfying YangBaxter equation (CYBE). In previous works, have been composed generators only one either so(2, 4) or so(6) . this paper, we consider some with both them. The kind contain (generalized) Schrödinger spacetimes gravity duals dipole theories. It is known that generalized can also be obtained via a certain class TsT transformations called null Melvin...

We proceed to study infinite-dimensional symmetries in two-dimensional squashed Wess-Zumino-Novikov-Witten (WZNW) models at the classical level. The target space is given by S^3 and isometry SU(2)_L x U(1)_R. It known that enhanced a couple of Yangians. reveal here an extension U(1)_R deformation quantum affine algebra, where new parameter provided with coefficient Wess-Zumino term. Then we consider relation between deformed algebra pair Yangians from viewpoint left-right duality monodromy...

We study Yang-Baxter deformations of the $AdS_5 \times S^5$ superstring with non-Abelian classical $r$-matrices which satisfy homogeneous equation (CYBE). By performing a supercoset construction, we can get deformed backgrounds. While this is new area research, current understanding that Abelian give rise to solutions type IIB supergravity, while lead generalized supergravity equations. examine here some examples r-matrices and derive associated backgrounds explicitly. All resulting For...

It has recently been shown that a set of the generalized type IIB supergravity equations follows from requirement kappa symmetry Green–Schwarz superstring theory defined on an arbitrary background. In this paper, we show whole bosonic part II can be reproduced $T$-duality covariant motion double field by choosing non-standard solution strong constraint. Then, using doubled formalism, Weyl invariance string sigma model gravity According to dual-coordinate dependence dilaton, Fradkin–Tseytlin...

We study a GKP-like classical string solution on q-deformed AdS_5 x S^5 background and argue the spacetime structure by using it as probe. The cannot stretch beyond singularity surface this result may suggest that holographic relation is realized inside surface. This observation leads us to introduce new coordinate system which describes only With system, we minimal surfaces derive deformed Neumann-Rosochatius with rigid ansatz.

Based on the formulation of Yang-Baxter sigma models developed by Klimcik and Delduc-Magro-Vicedo, we explain that various deformations type IIB superstring AdS5 × S5 can be charactered classical r-matrices satisfying equation (CYBE). The relation may referred to as gravity/CYBE correspondence. We present non-trivial examples correspondence including Lunin-Maldacena backgrounds for β-deformations N = 4 super Yang-Mills theory gravity duals non-commutative gauge theories. also discuss...