scholarly journals Recent progress of lattice and non-lattice super Yang-Mills

2012 ◽  
Author(s):  
Masanori Hanada ◽  
Issaku Kanamori ◽  
So Matsuura ◽  
Fumihiko Sugino
Keyword(s):  
Recent Progress ◽  
Yang Mills

scholarly journals QUANTUM STRINGS IN AdS5 × S5 AND GAUGE–STRING DUALITY

2010 ◽  
Vol 25 (02n03) ◽  
pp. 319-331 ◽  
Author(s):  
A. A. TSEYTLIN
Keyword(s):  
String Duality ◽  
Strong Coupling ◽  
Recent Progress ◽  
Anomalous Dimension ◽  
General Structure ◽  
Strong Coupling Expansion ◽  
Massive String ◽  
Yang Mills ◽  
Extract Information

We review some recent progress in understanding the spectrum of energies/dimensions of strings/operators in AdS5 × S5 – planar [Formula: see text] super Yang-Mills correspondence. We consider leading strong coupling corrections to the energy of lightest massive string modes in AdS5 × S5, which should be dual to members of the Konishi operator multiplet in the SYM theory. This determines the general structure of strong-coupling expansion of the anomalous dimension of the Konishi operator. We use 1-loop results for semiclassical string states to extract information about the leading coefficients in this expansion.

scholarly journals The Deformed Hermitian–Yang–Mills Equation in Geometry and Physics

2018 ◽  
pp. 69-90 ◽  
Author(s):  
Tristan C. Collins ◽  
Dan Xie ◽  
Shing-Tung Yau
Keyword(s):  
Mirror Symmetry ◽  
Recent Progress ◽  
Chern Number ◽  
Stability Conditions ◽  
Physical Origin ◽  
Yang Mills ◽  
Algebraic Stability ◽  
Non Linear ◽  
The Relationship ◽  
Mathematics And Physics

This chapter provides an introduction to the mathematics and physics of the deformed Hermitian–Yang–Mills equation, a fully non-linear geometric PDE on Kähler manifolds, which plays an important role in mirror symmetry. The chapter discusses the physical origin of the equation, and some recent progress towards its solution. In addition, in dimension 3, it proves a new Chern number inequality and discusses the relationship with algebraic stability conditions.

scholarly journals Comments on all-loop constraints for scattering amplitudes and Feynman integrals

2022 ◽  
Vol 2022 (1) ◽  
Author(s):  
Song He ◽  
Zhenjie Li ◽  
Qinglin Yang
Keyword(s):  
Scattering Amplitudes ◽  
Recent Progress ◽  
Minimal Subtraction ◽  
Feynman Integrals ◽  
Yang Mills ◽  
The Status ◽  
Loop Constraints ◽  
Finite Integrals

Abstract We comment on the status of “Steinmann-like” constraints, i.e. all-loop constraints on consecutive entries of the symbol of scattering amplitudes and Feynman integrals in planar $$ \mathcal{N} $$ N = 4 super-Yang-Mills, which have been crucial for the recent progress of the bootstrap program. Based on physical discontinuities and Steinmann relations, we first summarize all possible double discontinuities (or first-two-entries) for (the symbol of) amplitudes and integrals in terms of dilogarithms, generalizing well-known results for n = 6, 7 to all multiplicities. As our main result, we find that extended-Steinmann relations hold for all finite integrals that we have checked, including various ladder integrals, generic double-pentagon integrals, as well as finite components of two-loop NMHV amplitudes for any n; with suitable normalization such as minimal subtraction, they hold for n = 8 MHV amplitudes at three loops. We find interesting cancellation between contributions from rational and algebraic letters, and for the former we have also tested cluster-adjacency conditions using the so-called Sklyanin brackets. Finally, we propose a list of possible last-two-entries for MHV amplitudes up to 9 points derived from $$ \overline{Q} $$ Q ¯ equations, which can be used to reduce the space of functions for higher-point MHV amplitudes.

scholarly journals A STRONG COUPLING EXPANSION FOR N = 4 SYM THEORY AND OTHER SCFT's

2008 ◽  
Vol 23 (14n15) ◽  
pp. 2143-2152 ◽  
Author(s):  
DAVID BERENSTEIN
Keyword(s):  
Wave Function ◽  
Strong Coupling ◽  
Recent Progress ◽  
Einstein Manifold ◽  
Strong Coupling Expansion ◽  
Field Theories ◽  
Superconformal Field Theories ◽  
Four Dimensions ◽  
Yang Mills

Recent progress towards understanding a strong coupling expansion for various superconformal field theories in four dimensions is described. First, the case of the maximally supersymmetric Yang Mills theory is analyzed, as well as many calculations that can be done directly at strong coupling and matched to the AdS dual geometry. Also, this understanding is extended to other AdS duals where the sphere is replaced by a Sasaki-Einstein manifold. Particular emphasis is made on matching exactly part of the supergravity dual spectrum of various of these field theories by using wave function methods.

SURPRISING SYMMETRY OF SCATTERING AMPLITUDES IN GAUGE THEORIES

2009 ◽  
Vol 24 (35n37) ◽  
pp. 2868-2881 ◽  
Author(s):  
G. P. KORCHEMSKY
Keyword(s):  
Scattering Amplitudes ◽  
String Duality ◽  
Recent Progress ◽  
Gauge Theories ◽  
Strongly Coupled ◽  
Superconformal Symmetry ◽  
Yang Mills ◽  
Arbitrary Coupling

I will review a recent progress in computing scattering amplitudes in strongly coupled gauge theories — a fascinating subject which has been recently boosted by the formulation of the gauge/string duality in maximally supersymmetric Yang–Mills theory. In addition to the conventional symmetry of the underlying Lagrangian, the scattering amplitudes in this theory exhibit a new, dual superconformal symmetry. This symmetry is powerful enough to completely determine the scattering amplitudes for arbitrary coupling in a suitably defined limit.

EMERGENT GRAVITY AND GAUGE THEORY FROM MATRIX MODELS

2009 ◽  
Vol 24 (15) ◽  
pp. 2866-2876 ◽  
Author(s):  
HAROLD STEINACKER
Keyword(s):  
Gauge Theory ◽  
Cosmological Constant ◽  
Matrix Models ◽  
Classical Limit ◽  
Recent Progress ◽  
Gauge Fields ◽  
Cosmological Constant Problem ◽  
Emergent Gravity ◽  
Yang Mills ◽  
Effective Gravity

Matrix models of Yang-Mills type induce an effective gravity theory on 4-dimensional branes, which are considered as models for dynamical space-time. We review recent progress in the understanding of this emergent gravity. The metric is not fundamental but arises effectively in the semi-classical limit, along with nonabelian gauge fields. This leads to a mechanism which could resolve the cosmological constant problem.

SURPRISING SYMMETRY OF SCATTERING AMPLITUDES IN GAUGE THEORIES

2010 ◽  
Vol 25 (02n03) ◽  
pp. 351-366
Author(s):  
G. P. KORCHEMSKY
Keyword(s):  
Scattering Amplitudes ◽  
String Duality ◽  
Recent Progress ◽  
Gauge Theories ◽  
Strongly Coupled ◽  
Superconformal Symmetry ◽  
Yang Mills ◽  
Arbitrary Coupling

I review a recent progress in computing scattering amplitudes in strongly coupled gauge theories - a fascinating subject which has been recently boosted by the formulation of the gauge/string duality in maximally supersymmetric Yang-Mills theory. In addition to the conventional symmetry of the underlying Lagrangian, the scattering amplitudes in this theory exhibit a new, dual superconformal symmetry. This symmetry is powerful enough to completely determine the scattering amplitudes for arbitrary coupling in a suitably defined limit.

scholarly journals Maximally supersymmetric Yang–Mills on the lattice

2017 ◽  
Vol 32 (36) ◽  
pp. 1747019 ◽  
Author(s):  
David Schaich ◽  
Simon Catterall
Keyword(s):  
Lattice Theory ◽  
Lattice Spacing ◽  
Recent Progress ◽  
Numerical Calculations ◽  
Static Potential ◽  
Lattice Action ◽  
Yang Mills ◽  
Preliminary Results ◽  
Sign Problem

We summarize recent progress in lattice studies of four-dimensional [Formula: see text] supersymmetric Yang–Mills theory and present preliminary results from ongoing investigations. Our work is based on a construction that exactly preserves a single supersymmetry at non-zero lattice spacing, and we review a new procedure to regulate flat directions by modifying the moduli equations in a manner compatible with this supersymmetry. This procedure defines an improved lattice action that we have begun to use in numerical calculations. We discuss some highlights of these investigations, including the static potential and an update on the question of a possible sign problem in the lattice theory.

Electron-Mirror Microscopic Aspects of Ferroelectric Domains of BaTiO3 And Ca2Sr (C2H5CO2)6

1970 ◽  
Vol 28 ◽  
pp. 478-479
Author(s):  
Teruo Someya ◽  
Jinzo Kobayashi
Keyword(s):  
Surface Layer ◽  
Electric Fields ◽  
Quantitative Study ◽  
Recent Progress ◽  
Ferroelectric Domain ◽  
Resolving Power ◽  
Surface Pattern ◽  
Crystal Surfaces ◽  
One Dimensional ◽  
Ferroelectric Domains

Recent progress in the electron-mirror microscopy (EMM), e.g., an improvement of its resolving power together with an increase of the magnification makes it useful for investigating the ferroelectric domain physics. English has recently observed the domain texture in the surface layer of BaTiO3. The present authors ) have developed a theory by which one can evaluate small one-dimensional electric fields and/or topographic step heights in the crystal surfaces from their EMM pictures. This theory was applied to a quantitative study of the surface pattern of BaTiO3).

The Nature of Oxide Surfaces: Topographic and Electronic Structure

1993 ◽  
Vol 51 ◽  
pp. 966-967
Author(s):  
Dawn A. Bonnell ◽  
Yong Liang
Keyword(s):  
Transition Metal Oxides ◽  
Electronic Structures ◽  
Recent Progress ◽  
Spatial Localization ◽  
Level Of Detail ◽  
Scanning Tunneling ◽  
Oxide Surfaces ◽  
Tunneling Microscopy ◽  
Considerable Effort ◽  
Complete Understanding

Recent progress in the application of scanning tunneling microscopy (STM) and tunneling spectroscopy (STS) to oxide surfaces has allowed issues of image formation mechanism and spatial resolution limitations to be addressed. As the STM analyses of oxide surfaces continues, it is becoming clear that the geometric and electronic structures of these surfaces are intrinsically complex. Since STM requires conductivity, the oxides in question are transition metal oxides that accommodate aliovalent dopants or nonstoichiometry to produce mobile carriers. To date, considerable effort has been directed toward probing the structures and reactivities of ZnO polar and nonpolar surfaces, TiO2 (110) and (001) surfaces and the SrTiO3 (001) surface, with a view towards integrating these results with the vast amount of previous surface analysis (LEED and photoemission) to build a more complete understanding of these surfaces. However, the spatial localization of the STM/STS provides a level of detail that leads to conclusions somewhat different from those made earlier.

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