skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: T duality of the Zamolodchikov-Zamolodchikov brane

Abstract

We examine how nonperturbative effects in string theory are transformed under the T-duality in its nonperturbative framework by analyzing the c=1/2 noncritical string theory as a simplest example. We show that in the T-dual theory they also take the form of exp(-S{sub 0}/g{sub s}) in the leading order and that the instanton actions S{sub 0} of the dual Zamolodchikov-Zamolodchikov (ZZ)-branes are exactly the same as those in the original c=1/2 string theory. Furthermore we present formulas for coefficients of exp(-S{sub 0}/g{sub s}) in the dual theory.

Authors:
 [1];  [2]
  1. High Energy Accelerator Research Organization (KEK), Tsukuba, Ibaraki 305-0801 (Japan)
  2. Okayama Institute for Quantum Physics, Kyoyama 1-9-1, Okayama 700-0015 (Japan)
Publication Date:
OSTI Identifier:
21011073
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.75.044008; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BRANES; COSMOLOGY; DUALITY; INSTANTONS; QUANTUM FIELD THEORY; STRING MODELS; STRING THEORY

Citation Formats

Kuroki, Tsunehide, and Sugino, Fumihiko. T duality of the Zamolodchikov-Zamolodchikov brane. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.044008.
Kuroki, Tsunehide, & Sugino, Fumihiko. T duality of the Zamolodchikov-Zamolodchikov brane. United States. doi:10.1103/PHYSREVD.75.044008.
Kuroki, Tsunehide, and Sugino, Fumihiko. Thu . "T duality of the Zamolodchikov-Zamolodchikov brane". United States. doi:10.1103/PHYSREVD.75.044008.
@article{osti_21011073,
title = {T duality of the Zamolodchikov-Zamolodchikov brane},
author = {Kuroki, Tsunehide and Sugino, Fumihiko},
abstractNote = {We examine how nonperturbative effects in string theory are transformed under the T-duality in its nonperturbative framework by analyzing the c=1/2 noncritical string theory as a simplest example. We show that in the T-dual theory they also take the form of exp(-S{sub 0}/g{sub s}) in the leading order and that the instanton actions S{sub 0} of the dual Zamolodchikov-Zamolodchikov (ZZ)-branes are exactly the same as those in the original c=1/2 string theory. Furthermore we present formulas for coefficients of exp(-S{sub 0}/g{sub s}) in the dual theory.},
doi = {10.1103/PHYSREVD.75.044008},
journal = {Physical Review. D, Particles Fields},
number = 4,
volume = 75,
place = {United States},
year = {Thu Feb 15 00:00:00 EST 2007},
month = {Thu Feb 15 00:00:00 EST 2007}
}
  • We consider a compactification with a six-dimensional torus in the type II brane gas models. We show that the dilaton and the scale of each cycle of the internal space are fixed in the presence of NS5-branes and Kaluza-Klein monopoles as well as D-branes with the gauge fields. We can construct various models that lead to fixed moduli by using T-duality transformations.
  • We realize the string/(D{minus}5)-brane duality on the action at the classical level between the T{sup 10{minus}D}-compactified heterotic string effective action and the (D{minus}5)-brane effective action in D dimensions by managing a Lagrange multiplier field. In the same way the S duality is also reconstructed as a dual transformation on the T{sup 6}-compactified heterotic string effective action. {copyright} {ital 1997} {ital The American Physical Society}
  • According to string--five-brane duality, the Green-Schwarz factorization of the {ital D}=10 spacetime anomaly polynomial {ital I}{sub 12} into {ital X}{sub 4}{ital X8} means that just as {ital X}{sub 4} is the anomaly polynomial of the {ital d}=2 string world sheet, so {ital X}{sub 8} should be the anomaly polynomial of the {ital d}=6 five-brane world volume. To test this idea we perform a five-brane calculation of {ital X}{sub 8} and find perfect agreement with the string one-loop result.
  • We show how a solitonic {open_quote}{open_quote}magnetically{close_quote}{close_quote} charged {ital p}-brane solution of a given supergravity theory, with the magnetic charge carried by an antisymmetric tensor gauge field, can be generalized to a dyonic solution. We discuss the cases of ten-dimensional and eleven-dimensional supergravity in more detail and a new dyonic five-brane solution in ten dimensions is given. Unlike the purely electrically or magnetically charged five-brane solution the dyonic five-brane contains nonzero Ramond-Ramond fields and is, therefore, an intrinsically type II solution. The solution preserves half of the type II spacetime supersymmetries. It is obtained by applying a solution-generating SL(2,{ital R}){times}SL(2,{ital R})more » {ital S} duality transformation to the purely magnetically charged five-brane solution. One of the SL(2,{ital R}) duality transformations is basically an extension to the type II case of the six-dimensional {ital Z}{sub 2} string-string duality. We also present an action underlying the type IIB supergravity theory. {copyright} {ital 1996 The American Physical Society.}« less
  • A global superalgebra with 32 supercharges and all possible central extensions is studied in order to extract some general properties of duality and hidden dimensions in a theory that treats {ital p}-branes democratically. The maximal number of dimensions is 12, with signature (10,2), containing one space and one time dimension that are hidden from the point of view of perturbative ten-dimensional string theory or its compactifications. When the theory is compactified on {ital R}{sup {ital d}{minus}1,1}{circle_times}{ital T}{sup {ital c}+1,1} with {ital d}+{ital c}+2=12, there are isometry groups that relate to the hidden dimensions as well as to duality. Their combinedmore » intersecting classification schemes provide some properties of nonperturbative states and their couplings. {copyright} {ital 1996 The American Physical Society.}« less