Details
| Original language | English |
|---|---|
| Title of host publication | From Fields to Strings |
| Subtitle of host publication | Circumnavigating Theoretical Physics: Ian Kogan Memorial Collection |
| Publisher | World Scientific Publishing Co. Pte Ltd |
| Pages | 1201-1256 |
| Number of pages | 56 |
| Volume | 1 |
| ISBN (electronic) | 9789812775344 |
| ISBN (print) | 9789812389558 |
| Publication status | Published - 1 Jan 2005 |
| Externally published | Yes |
Abstract
We review some aspects of logarithmic conformal field theories which might shed some light on the geometrical meaning of logarithmic operators. We consider an approach, put forward by V. Knizhnik, where computation of correlation functions on higher genus Riemann surfaces can be replaced by computations on the sphere under certain circumstances. We show that this proposal naturally leads to logarithmic conformal field theories, when the additional vertex operator insertions, which simulate the branch points of a ramified covering of the sphere, are viewed as dynamical objects in the theory. We study the Seiberg-Witten solution of supersymmetric low energy effective field theory as an example where physically interesting quantities, the periods of a meromorphic one-form, can be effectively computed within this conformal field theory setting. We comment on the relation between correlation functions computed on the plane, but with insertions of twist fields, and torus vacuum amplitudes.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
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From Fields to Strings: Circumnavigating Theoretical Physics: Ian Kogan Memorial Collection. Vol. 1 World Scientific Publishing Co. Pte Ltd, 2005. p. 1201-1256.
Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research › peer review
}
TY - CHAP
T1 - Logarithmic conformal field theory or how to compute a torus amplitude on the sphere
AU - Flohr, Michael
N1 - Publisher Copyright: © 2005 by World Scientific Publishing Co. Pte. Ltd. All rights reserved.
PY - 2005/1/1
Y1 - 2005/1/1
N2 - We review some aspects of logarithmic conformal field theories which might shed some light on the geometrical meaning of logarithmic operators. We consider an approach, put forward by V. Knizhnik, where computation of correlation functions on higher genus Riemann surfaces can be replaced by computations on the sphere under certain circumstances. We show that this proposal naturally leads to logarithmic conformal field theories, when the additional vertex operator insertions, which simulate the branch points of a ramified covering of the sphere, are viewed as dynamical objects in the theory. We study the Seiberg-Witten solution of supersymmetric low energy effective field theory as an example where physically interesting quantities, the periods of a meromorphic one-form, can be effectively computed within this conformal field theory setting. We comment on the relation between correlation functions computed on the plane, but with insertions of twist fields, and torus vacuum amplitudes.
AB - We review some aspects of logarithmic conformal field theories which might shed some light on the geometrical meaning of logarithmic operators. We consider an approach, put forward by V. Knizhnik, where computation of correlation functions on higher genus Riemann surfaces can be replaced by computations on the sphere under certain circumstances. We show that this proposal naturally leads to logarithmic conformal field theories, when the additional vertex operator insertions, which simulate the branch points of a ramified covering of the sphere, are viewed as dynamical objects in the theory. We study the Seiberg-Witten solution of supersymmetric low energy effective field theory as an example where physically interesting quantities, the periods of a meromorphic one-form, can be effectively computed within this conformal field theory setting. We comment on the relation between correlation functions computed on the plane, but with insertions of twist fields, and torus vacuum amplitudes.
UR - http://www.scopus.com/inward/record.url?scp=85014590144&partnerID=8YFLogxK
U2 - 10.48550/arXiv.hep-th/0407003
DO - 10.48550/arXiv.hep-th/0407003
M3 - Contribution to book/anthology
AN - SCOPUS:85014590144
SN - 9789812389558
VL - 1
SP - 1201
EP - 1256
BT - From Fields to Strings
PB - World Scientific Publishing Co. Pte Ltd
ER -