scholarly journals Global conformal gauge in string theory

2021 ◽  
pp. 136246
Author(s):  
M.O. Katanaev
Keyword(s):  
String Theory ◽  
Conformal Gauge

scholarly journals On the existence of the global conformal gauge in string theory

2021 ◽  
Vol 81 (7) ◽  
Author(s):  
M. O. Katanaev
Keyword(s):  
String Theory ◽  
Global Existence ◽  
Bosonic Strings ◽  
Crucial Role ◽  
Riemannian Metric ◽  
Positive Definite ◽  
Two Dimensional ◽  
Lorentzian Metric ◽  
Long Time ◽  
Conformal Gauge

AbstractThe global conformal gauge is playing the crucial role in string theory providing the basis for quantization. Its existence for two-dimensional Lorentzian metric is known locally for a long time. We prove that if a Lorentzian metric is given on a plain then the conformal gauge exists globally on the whole $${{\mathbb {R}}}^2$$ R 2 . Moreover, we prove the existence of the conformal gauge globally on the whole worldsheets represented by infinite strips with straight boundaries for open and closed bosonic strings. The global existence of the conformal gauge on the whole plane is also proved for the positive definite Riemannian metric.

scholarly journals STRING THEORY AS A UNIVERSAL LANGUAGE

2001 ◽  
Vol 16 (28) ◽  
pp. 4511-4525 ◽  
Author(s):  
A. M. POLYAKOV
Keyword(s):  
String Theory ◽  
Cosmological Constant ◽  
Gauge Theories ◽  
Higher Dimensions ◽  
Brane Worlds ◽  
Open Strings ◽  
Universal Language ◽  
Conformal Gauge

This article, based on the Klein lecture, contains some new results and new speculations on various topics. They include discussion of open strings in the AdS space, unusual features of D-branes, conformal gauge theories in higher dimensions. We also comment on the infrared screening of the cosmological constant and on the ''brane worlds.''

scholarly journals CONSTRUCTION OF AN IDENTICALLY NILPOTENT BRS CHARGE IN THE KATO–OGAWA STRING THEORY

1999 ◽  
Vol 14 (09) ◽  
pp. 1357-1377 ◽  
Author(s):  
MITSUO ABE ◽  
NOBORU NAKANISHI
Keyword(s):  
Field Equation ◽  
String Theory ◽  
Quantum Gravity ◽  
Bosonic Strings ◽  
Open String ◽  
Indefinite Metric ◽  
Two Dimensional ◽  
Conformal Gauge ◽  
Wightman Functions ◽  
Artificial Introduction

In previous work, the conformal-gauge two-dimensional quantum gravity in the BRS formalism has been solved completely in terms of Wightman functions. In the present paper, this result is extended to the closed and open bosonic strings of finite length; the open-string case is nothing but the Kato–Ogawa string theory. The field-equation anomaly found previously, which means a slight violation of a field equation at the level of Wightman functions, remains existent in the finite-string cases. By using this fact, a BRS charge nilpotent even for D≠26 is explicitly constructed in the framework of the Kato–Ogawa string theory. The FP-ghost vacuum structure of the Kato–Ogawa theory is made more transparent; the appearance of half-integral ghost numbers and the artificial introduction of an indefinite metric are avoided.

scholarly journals The disk partition function in string theory

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Lorenz Eberhardt ◽  
Sridip Pal
Keyword(s):  
String Theory ◽  
Partition Function ◽  
Gauge Group ◽  
Path Integral ◽  
Open String ◽  
Infinite Volume ◽  
Conformal Gauge ◽  
Negative Volume

Abstract We investigate the disk partition function for the open string. This is a subtle problem because of the presence of a residual gauge group PSL(2, ℝ) on the worldsheet even after fixing the conformal gauge. It naively has infinite volume and leads to a vanishing answer. We use different methods that all demonstrate that PSL(2, ℝ) effectively behaves like a group with finite negative volume in the path integral, which leads to a simple prescription for the computation of the disk partition function. We apply our findings to give a simple rederivation of the D-brane tensions.

TWO DIMENSIONAL QUANTUM GRAVITY AND STRINGS

1990 ◽  
Vol 05 (10) ◽  
pp. 1833-1859 ◽  
Author(s):  
A.A. TSEYTLIN
Keyword(s):  
String Theory ◽  
Quantum Gravity ◽  
Conformal Factor ◽  
Target Space ◽  
Effective Theory ◽  
Two Dimensional ◽  
Conformal Gauge

We discuss some recent suggestions about a relation between 2-d quantum gravity and string theory. We consider the general 2-d σ model with D-dimensional target space coupled to 2-d quantum gravity and give arguments in favor of the conjecture that the effective theory which describes this system in the conformal gauge may be interpreted as a a model with a D+1-dimensional target space with the conformal factor of the metric playing the role of the D+1 coordinate. The latter σ model must be Weyl invariant while the original one may be arbitrary. The conformal “split” invariance which must be present in the conformal gauge imposes no restrictions on the original σ model couplings, but restricts the additional (D+1-dimensional) couplings which appear in the D+1-dimensional σ model.

CLASSICAL SOLUTIONS OF 2-DIMENSIONAL STRING THEORY

1991 ◽  
Vol 06 (18) ◽  
pp. 1685-1692 ◽  
Author(s):  
GAUTAM MANDAL ◽  
ANIRVAN M. SENGUPTA ◽  
SPENTRA R. WADIA
Keyword(s):  
Black Hole ◽  
String Theory ◽  
Matrix Models ◽  
Two Dimensions ◽  
Parameter Family ◽  
Target Space ◽  
Classical Solutions ◽  
Conformal Gauge

We present an exact one-parameter family of solutions to the classical graviton-dilaton system in two dimensions. The solution can be identified as a black hole. We present the solution both in a Schwarzschild-like gauge and in the target space conformal gauge. We discuss possible relations with matrix models.

A Mathematical Introduction to String Theory

1997 ◽  
Author(s):  
Sergio Albeverio ◽  
Jurgen Jost ◽  
Sylvie Paycha ◽  
Sergio Scarlatti
Keyword(s):  
String Theory

String Theory

1998 ◽  
Author(s):  
Joseph Polchinski
Keyword(s):  
String Theory
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