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A general BRST approach to string theories with zeta function regularizations
High Energy Physics - Theory · Submitted 1 Apr 1998
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We propose a new general BRST approach to string and string-like theories which have a wider range of applicability than e g the conventional conformal field theory method.
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The abstract, sentence by sentence
We propose a new general BRST approach to string and string-like theories which have a wider range of applicability than e g the conventional conformal field theory method. The method involves a simple general regularization of all basic commutators which makes all divergent sums to be expressible in terms of zeta functions from which finite values then may be extracted in a rigorous manner. The method is particular useful in order to investigate possible state space representations to a given model. The method is applied to three string models: The ordinary bosonic string, the tensionless string and the conformal tensionless string. We also investigate different state spaces for these models. The tensionless string models are treated in details. Although we mostly rederive known results they appear in a new fashion which deepens our understanding of these models. Furthermore, we believe that our treatment is more rigorous than most of the previous ones. In the case of the conformal tensionless string we find a new solution for d=4.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We propose a new general BRST approach to string and string-like theories which have a wider range of applicability than e g the conventional conformal field theory method. | contribution 1.00 | 0.92 | 0.26 | asserted 0.94 |
| s1 | The method involves a simple general regularization of all basic commutators which makes all divergent sums to be expressible in terms of zeta functions from which finite values then may be extracted in a rigorous manner. | method 0.98 | 0.87 | 0.15 | asserted 0.98 |
| s2 | The method is particular useful in order to investigate possible state space representations to a given model. | contribution 0.44 | 0.33 | 0.07 | asserted 0.97 |
| s3 | The method is applied to three string models: The ordinary bosonic string, the tensionless string and the conformal tensionless string. | contribution 0.82 | 0.93 | 0.06 | asserted 0.99 |
| s4 | We also investigate different state spaces for these models. | contribution 0.99 | 0.95 | 0.05 | asserted 0.98 |
| s5 | The tensionless string models are treated in details. | contribution 0.96 | 0.91 | 0.05 | asserted 1.00 |
| s6 | Although we mostly rederive known results they appear in a new fashion which deepens our understanding of these models. | interpretation 0.79 | 0.83 | 0.14 | asserted 0.93 |
| s7 | Furthermore, we believe that our treatment is more rigorous than most of the previous ones. | interpretation 0.77 | 0.36 | 0.13 | hedged possibility 0.46 |
| s8 | In the case of the conformal tensionless string we find a new solution for d=4. | result 1.00 | 0.97 | 0.28 | asserted 1.00 |
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The paper
Original abstract
We propose a new general BRST approach to string and string-like theories which have a wider range of applicability than e g the conventional conformal field theory method. The method involves a simple general regularization of all basic commutators which makes all divergent sums to be expressible in terms of zeta functions from which finite values then may be extracted in a rigorous manner. The method is particular useful in order to investigate possible state space representations to a given model. The method is applied to three string models: The ordinary bosonic string, the tensionless string and the conformal tensionless string. We also investigate different state spaces for these models. The tensionless string models are treated in details. Although we mostly rederive known results they appear in a new fashion which deepens our understanding of these models. Furthermore, we believe that our treatment is more rigorous than most of the previous ones. In the case of the conformal tensionless string we find a new solution for d=4.
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References
How the literature uses it
5 arXiv papers cite this in 11 sentences
Papers citing it · 5 sentences without a confident label
Uses its method or tool 1 paper
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Following the generalized-zeta family of Ref. [ref] , we define [equation] For the bilinear matter generators, every \(xp\)–\(xp\) double contraction contains a vanishing \(⟨xp⟩\).
Quantum Anomalies of Tensionless Bosonic Strings · Derivation of world-sheet quantum anomaly in the induced vacuum · 0.99
Cites it as background 2 papers
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Review: We call twisted strings the worldsheet models described by Siegel in the context in [ref] , [See also the older work [ref] .].
Windings of twisted strings · Twisted strings · 0.96
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Another point to consider is the notion of “flipped” vacua in CFT (e.g. [ref] ).
The BRST quantisation of chiral BMS-like field theories · Conclusions and future work · 0.93
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