scholarly journals New vortex-string worldsheet theories from supersymmetric localization

2019 ◽  
Vol 2019 (3) ◽  
Author(s):  
Efrat Gerchkovitz ◽  
Avner Karasik
Keyword(s):  
String Worldsheet

scholarly journals THE HAGEDORN TRANSITION AND THE MATRIX MODEL FOR STRINGS

1998 ◽  
Vol 13 (26) ◽  
pp. 2085-2094 ◽  
Author(s):  
B. SATHIAPALAN
Keyword(s):  
Matrix Model ◽  
Light Cone ◽  
Degrees Of Freedom ◽  
Low Energy ◽  
Matrix Formalism ◽  
Yang Mills ◽  
Large N ◽  
The Matrix ◽  
The Continuum ◽  
String Worldsheet

We use the matrix formalism to investigate what happens to strings above the Hagedorn temperature. We show that is not a limiting temperature but a temperature at which the continuum string picture breaks down. We study a collection of N D-0-branes arranged to form a string having N units of light-cone momentum. We find that at high temperatures the favored phase is one where the string worldsheet has disappeared and the low-energy degrees of freedom consists of N2 massless particles ("gluons"). The nature of the transition is very similar to the deconfinement transition in large-N Yang–Mills theories.

scholarly journals Fundamental Strings and D-Strings in the IIB Matrix Model

1997 ◽  
Vol 12 (18) ◽  
pp. 1301-1315 ◽  
Author(s):  
B. Sathiapalan
Keyword(s):  
Matrix Model ◽  
Scaling Limit ◽  
Duality Group ◽  
Fundamental String ◽  
Large N ◽  
The Matrix ◽  
Model Derivation ◽  
The One ◽  
The Right ◽  
String Worldsheet

The matrix model for IIB superstring proposed by Ishibashi, Kawai, Kitazawa and Tsuchiya is investigated. Consideration of planar and non-planar diagrams suggests that large-N perturbative expansion is consistent with the double scaling limit proposed by the above authors. We write down a Wilson loop that can be interpreted as a fundamental string vertex operator. The one-point tadpole in the presence of a D-string has the right form and this can be viewed as a matrix model derivation of the boundary conditions that define a D-string. We also argue that if worldsheet coordinates σ and τ are introduced to the fundamental string, then the conjugate variable d/dσ and d/dτ can be interpreted as the D-string worldsheet coordinates. In this way the SL (2Z) duality group of the IIB superstring becomes identified with the symplectic group acting on (p,q).

scholarly journals TWO-DIMENSIONAL YANG-MILLS THEORIES ARE STRING THEORIES

1993 ◽  
Vol 08 (23) ◽  
pp. 2223-2235 ◽  
Author(s):  
STEPHEN G. NACULICH ◽  
HAROLD A. RIGGS ◽  
HOWARD J. SCHNITZER
Keyword(s):  
String Theory ◽  
Partition Function ◽  
Arbitrary Number ◽  
Closed String ◽  
Two Dimensional ◽  
Branched Covers ◽  
Yang Mills ◽  
String Worldsheet ◽  
String Theories

We show that two-dimensional SO (N) and Sp (N) Yang-Mills theories without fermions can be interpreted as closed string theories. The terms in the 1/N expansion of the partition function on an orientable or nonorientable manifold ℳ can be associated with maps from a string worldsheet onto ℳ. These maps are unbranched and branched covers of ℳ with an arbitrary number of infinitesimal worldsheet cross-caps mapped to points in ℳ. These string theories differ from SU (N) Yang-Mills string theory in that they involve odd powers of 1/N and require both orientable and nonorientable worldsheets.

scholarly journals Correlation functions of symmetric orbifold from AdS3 string theory

2020 ◽  
Vol 2020 (9) ◽  
Author(s):  
Yasuaki Hikida ◽  
Tianshu Liu
Keyword(s):  
Riemann Surface ◽  
String Theory ◽  
Correlation Functions ◽  
Reduction Method ◽  
Important Ingredient ◽  
Genus Zero ◽  
Wznw Model ◽  
Twist Operators ◽  
Liouville Field Theory ◽  
String Worldsheet

Abstract The paper examines correspondence among correlation functions of symmetric orbifold and string theory on AdS3 described by sl(2) Wess-Zumino-Novikov-Witten (WZNW) model. We start by writing down n-point function of twist operators in the symmetric orbifold in terms of the data of effective Riemann surface. It is then shown that the correlation function can be reproduced from the sl(2) WZNW model. The computation is based on the claim that string worldsheet is given by the same Riemann surface and the reduction method from sl(2) WZNW model to Liouville field theory. We first consider the genus zero surface and then generalize the analysis to the case of generic genus. The radius of AdS3 is related to the level k of the WZNW model. For k = 3, our result should be an important ingredient for deriving AdS3/CFT2 correspondence with tensionless superstrings to all orders in string perturbation theory. For generic k, relations involving specific forms of correlation functions for strings on AdS3× X were obtained.

scholarly journals Lattice and string worldsheet in AdS/CFT: a numerical study

2016 ◽  
Author(s):  
Valentina Forini ◽  
Lorenzo Bianchi ◽  
Marco S. Bianchi ◽  
Björn Leder ◽  
Edoardo Vescovi
Keyword(s):  
Numerical Study ◽  
String Worldsheet

scholarly journals Holographic Aspects of Chaos and Integrability in String- and M-Theory

2019 ◽  
Author(s):  
◽  
Jeroen van Gorsel
Keyword(s):  
Conformal Field ◽  
Large N ◽  
Back Ground ◽  
Integrable Deformations ◽  
Set Up ◽  
Horizon Limit ◽  
M Theory ◽  
Chern Simons ◽  
Infinite Linear ◽  
String Worldsheet

In this thesis we investigate classical integrability of the string worldsheet on different super-gravity backgrounds. We focus in particular on the class of half-supersymmetric AdS7 solutions of Massive Type IIA supergravity, that are thought to be the near-horizon limit of a D6-D8-NS5 Hanany-Witten brane set-up, and are dual to six-dimensional conformal field theories with N = (1, 0) supersymmetry. We use both analytical and numerical methods to show the (bosonic sector of the) string worldsheet is non-integrable on most of these backgrounds. The backgrounds on which the string is integrable are an infinite massless solution (corresponding to an infinite constant quiver), and a background corresponding to an infinite linear quiver theory.In addition we find that the (bosonic sector of the) string is integrable on a background that we call AdS7 × (S3)λ. For this background we show that it corresponds to a 6d SCFT with an infinitely long quiver with an infinite number of flavour groups, all proportional to the colour groups. We study this particular supergravity background in detail, and suggest it corresponds to the large-N limit of the dual SCFT in the limit where the Chern-Simons level k goes to infinity.This integrable AdS7 × (S3)λ background can be obtained as the λ-deformation of AdS7×S3. In this context we study integrable deformations of supergravity backgrounds in the last part of this thesis, in particular non-Abelian T-duality. We present another back-ground on which the string is integrable by performing two non-Abelian T-dualities on two three-spheres inside the AdS5×S5 solution and study the resulting background.

A HEURISTIC STRING-THEORETIC APPROACH TO THE 3D ISING MODEL

1992 ◽  
Vol 07 (13) ◽  
pp. 1123-1127
Author(s):  
M. A. MOJUMDER ◽  
MESFIN TADASSE
Keyword(s):  
Fractal Dimension ◽  
Numerical Calculation ◽  
Ising Model ◽  
Critical Exponents ◽  
Field Theories ◽  
Theoretic Approach ◽  
Space Distance ◽  
Good Agreement ◽  
3D Ising Model ◽  
String Worldsheet

We have made a modification of a very heuristic relationship available in the literature between the parameter space distance and the embedding space distance on the string worldsheet. This modification along with the input of numerically determined values of the fractal dimension of the fermionic worldsheet and of the Wilson scaling dimensions of conventional ψ2 and ψ4-field theories enables a numerical calculation of the critical exponents α and β of the 3D Ising model. These values are in very good agreement with the experimental and other theoretical values.

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