scholarly journals The partition function of interfaces from the Nambu-Goto effective string theory

2006 ◽  
Vol 2006 (02) ◽  
pp. 070-070 ◽  
Author(s):  
Marco Billó ◽  
Michele Caselle ◽  
Livia Ferro
Keyword(s):  
String Theory ◽  
Partition Function ◽  
Effective String Theory

scholarly journals A NOTE ON EFFECTIVE STRING THEORY

1993 ◽  
Vol 08 (29) ◽  
pp. 2763-2773
Author(s):  
SHYAMOLI CHAUDHURI ◽  
DJORDJE MINIC
Keyword(s):  
String Theory ◽  
Partition Function ◽  
Target Space ◽  
Effective Theory ◽  
Scaling Exponents ◽  
Random Surfaces ◽  
Yang Mills ◽  
Fixed Area ◽  
Effective String Theory

Motivated by the possibility of an effective string description for the ir limit of pure Yang-Mills theory, we present a toy model for an effective theory of random surfaces propagating in a target space of D > 2. We show that the scaling exponents for the fixed area partition function of the theory are apparently well behaved. We make some observations regarding the usefulness of this toy model.

scholarly journals On the quantization of Seiberg-Witten geometry

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Nathan Haouzi ◽  
Jihwan Oh
Keyword(s):  
Gauge Theory ◽  
String Theory ◽  
Partition Function ◽  
Flat Space ◽  
Matter Content ◽  
Gauge Groups ◽  
Space Limit ◽  
Two Parameters ◽  
Double Quantization ◽  
Quantization Parameters

Abstract We propose a double quantization of four-dimensional $$ \mathcal{N} $$ N = 2 Seiberg-Witten geometry, for all classical gauge groups and a wide variety of matter content. This can be understood as a set of certain non-perturbative Schwinger-Dyson identities, following the program initiated by Nekrasov [1]. The construction relies on the computation of the instanton partition function of the gauge theory on the so-called Ω-background on ℝ4, in the presence of half-BPS codimension 4 defects. The two quantization parameters are identified as the two parameters of this background. The Seiberg-Witten curve of each theory is recovered in the flat space limit. Whenever possible, we motivate our construction from type IIA string theory.

scholarly journals Partition function and open/closed string duality in type IIA string theory on a pp-wave

2003 ◽  
Vol 669 (1-2) ◽  
pp. 78-102 ◽  
Author(s):  
Hyeonjoon Shin ◽  
Katsuyuki Sugiyama ◽  
Kentaroh Yoshida
Keyword(s):  
String Theory ◽  
Partition Function ◽  
String Duality ◽  
Closed String ◽  
Pp Wave

scholarly journals Non-perturbative Nekrasov partition function from string theory

2014 ◽  
Vol 880 ◽  
pp. 87-108 ◽  
Author(s):  
I. Antoniadis ◽  
I. Florakis ◽  
S. Hohenegger ◽  
K.S. Narain ◽  
A. Zein Assi
Keyword(s):  
String Theory ◽  
Partition Function

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 Dark solitons, D-branes and noncommutative tachyon field theory

2017 ◽  
Vol 32 (33) ◽  
pp. 1750201 ◽  
Author(s):  
Stefano Giaccari ◽  
Jun Nian
Keyword(s):  
Field Theory ◽  
String Theory ◽  
Soliton Solutions ◽  
Field Theories ◽  
Tachyon Field ◽  
Dark Solitons ◽  
Quantitative Level ◽  
Two Systems ◽  
Duality Map ◽  
Effective String Theory

In this paper we discuss the boson/vortex duality by mapping the (3[Formula: see text]+[Formula: see text]1)D Gross–Pitaevskii theory into an effective string theory in the presence of boundaries. Via the effective string theory, we find the Seiberg–Witten map between the commutative and the noncommutative tachyon field theories, and consequently identify their soliton solutions with D-branes in the effective string theory. We perform various checks of the duality map and the identification of soliton solutions. This new insight between the Gross–Pitaevskii theory and the effective string theory explains the similarity of these two systems at quantitative level.

scholarly journals WILSON LOOPS IN OPEN STRING THEORY

1988 ◽  
Vol 03 (03) ◽  
pp. 283-287 ◽  
Author(s):  
KIYOSHI SHIRAISHI
Keyword(s):  
String Theory ◽  
Partition Function ◽  
Symmetry Breaking ◽  
Path Integral ◽  
Wilson Loop ◽  
Mass Spectra ◽  
Open String ◽  
Wilson Loops ◽  
Open Strings ◽  
Correct Weight

Wilson loop elements on torus are introduced into the partition function of open strings as Polyakov’s path integral at one-loop level. Mass spectra from compactification and expected symmetry breaking are illustrated by choosing the correct weight for the contributions from annulus and Möbius strip. We show that Jacobi’s imaginary transformation connects the mass spectra with the Wilson loops. The application to thermopartition function and cosmological implications are briefly discussed.

scholarly journals PARTITION FUNCTIONS OF MATRIX MODELS: FIRST SPECIAL FUNCTIONS OF STRING THEORY

2004 ◽  
Vol 19 (24) ◽  
pp. 4127-4163 ◽  
Author(s):  
A. ALEXANDROV ◽  
A. MOROZOV ◽  
A. MIRONOV
Keyword(s):  
String Theory ◽  
Partition Function ◽  
Matrix Model ◽  
Special Functions ◽  
Finite Size ◽  
Building Blocks ◽  
Partition Functions ◽  
Virasoro Constraints ◽  
Elementary Building

Even though matrix model partition functions do not exhaust the entire set of τ-functions relevant for string theory, they seem to be elementary building blocks for many others and they seem to properly capture the fundamental symplicial nature of quantum gravity and string theory. We propose to consider matrix model partition functions as new special functions. Here we restrict our consideration to the finite-size Hermitian 1-matrix model and concentrate mostly on its phase/branch structure arising when the partition function is considered as a D-module. We discuss the role of the CIV–DV prepotential (as generating a possible basis in the linear space of solutions to the Virasoro constraints, but with a lack of understanding of why and how this basis is distinguished).

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