scholarly journals Topological String Models for the Generalized Two-Dimensional Yang-Mills Theories

1996 ◽  
Vol 95 (6) ◽  
pp. 1183-1197
Author(s):  
Y. Sugawara
Keyword(s):  
Topological String ◽  
Two Dimensional ◽  
Yang Mills ◽  
String Models

scholarly journals ON THE STRING ACTIONS FOR THE GENERALIZED TWO-DIMENSIONAL YANG-MILLS THEORIES

1996 ◽  
Vol 11 (20) ◽  
pp. 1675-1685 ◽  
Author(s):  
YUJI SUGAWARA
Keyword(s):  
Topological String ◽  
String Model ◽  
Partition Functions ◽  
Two Dimensional ◽  
Yang Mills ◽  
Large N

We study the structures of partition functions of the large-N generalized two-dimensional Yang-Mills theories (gY M2) by recasting the higher Casimirs. We clarify the appropriate interpretations of them and try to extend the Cordes-Moore-Ramgoolam’s topological string model describing the ordinary4Y M2 to those describing gY M2. We present the expressions of the appropriate operators to reproduce the higher Casimir terms in gY M2. The concept of “deformed gravitational descendants” will be introduced for this purpose.

scholarly journals BPS Quivers of Five-Dimensional SCFTs, Topological Strings and q-Painlevé Equations

2021 ◽  
Author(s):  
Giulio Bonelli ◽  
Fabrizio Del Monte ◽  
Alessandro Tanzini
Keyword(s):  
Topological String ◽  
Cluster Algebra ◽  
Painlevé Equations ◽  
Partition Functions ◽  
Quantum Field Theories ◽  
Particle Spectrum ◽  
Yang Mills ◽  
Painleve Equations ◽  
Rank One ◽  
Bilinear Equations

AbstractWe study the discrete flows generated by the symmetry group of the BPS quivers for Calabi–Yau geometries describing five-dimensional superconformal quantum field theories on a circle. These flows naturally describe the BPS particle spectrum of such theories and at the same time generate bilinear equations of q-difference type which, in the rank one case, are q-Painlevé equations. The solutions of these equations are shown to be given by grand canonical topological string partition functions which we identify with $$\tau $$ τ -functions of the cluster algebra associated to the quiver. We exemplify our construction in the case corresponding to five-dimensional SU(2) pure super Yang–Mills and $$N_f=2$$ N f = 2 on a circle.

scholarly journals The semiclassical limit of the two‐dimensional quantum Yang–Mills model

1994 ◽  
Vol 35 (10) ◽  
pp. 5354-5361 ◽  
Author(s):  
Christopher King ◽  
Ambar Sengupta
Keyword(s):  
Semiclassical Limit ◽  
Two Dimensional ◽  
Yang Mills

Tyres

2018 ◽  
pp. 107-157
Author(s):  
David J. N. Limebeer ◽  
Matteo Massaro
Keyword(s):  
Vehicle Dynamics ◽  
Nonholonomic Constraint ◽  
Empirical Models ◽  
Physical Models ◽  
Two Dimensional ◽  
Basic Concepts ◽  
Low Speeds ◽  
Tyre Modelling ◽  
String Models ◽  
Dynamics Analyses

Chapter 3 focuses on modern tyre modelling. While classical two-dimensional nonholonomic- constraint models work reasonably well at very low speeds, these models are not acceptable in realistic applications. This chapter aims to explain the mechanisms and modelling issues related to the generation of tyre forces and moments. Physical models such as the brush and string models are used to clarify the basic concepts. Building upon these findings, the empirical models widespread in vehicle dynamics analyses are discussed. An overview of some of the advanced models currently used in the industry is also given.

scholarly journals HIGHER GAUGE THEORY AND GRAVITY IN 2+1 DIMENSIONS

2007 ◽  
Vol 22 (28) ◽  
pp. 5155-5172 ◽  
Author(s):  
R. B. MANN ◽  
E. M. POPESCU
Keyword(s):  
Gauge Theory ◽  
Two Dimensional ◽  
Yang Mills ◽  
Higher Dimensional ◽  
Present Context ◽  
Dimensional Gravity ◽  
Wide Perspective ◽  
Higher Gauge Theory ◽  
Matter Fields ◽  
New Framework

Non-Abelian higher gauge theory has recently emerged as a generalization of standard gauge theory to higher-dimensional (two-dimensional in the present context) connection forms, and as such, it has been successfully applied to the non-Abelian generalizations of the Yang–Mills theory and 2-form electrodynamics. (2+1)-dimensional gravity, on the other hand, has been a fertile testing ground for many concepts related to classical and quantum gravity, and it is therefore only natural to investigate whether we can find an application of higher gauge theory in this latter context. In the present paper we investigate the possibility of applying the formalism of higher gauge theory to gravity in 2+1 dimensions, and we show that a nontrivial model of (2+1)-dimensional gravity coupled to scalar and tensorial matter fields — the ΣΦEA model — can be formulated as a higher gauge theory (as well as a standard gauge theory). Since the model has a very rich structure — it admits as solutions black-hole BTZ-like geometries, particle-like geometries as well as Robertson–Friedman–Walker cosmological-like expanding geometries — this opens a wide perspective for higher gauge theory to be tested and understood in a relevant gravitational context. Additionally, it offers the possibility of studying gravity in 2+1 dimensions coupled to matter in an entirely new framework.

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