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Gauge invariant perturbation theory and non-critical string models of Yang-Mills theories
High Energy Physics - Theory · Submitted 11 Feb 2010
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim These results seem to show some kind of universality of the models, as well as an irrelevance of the singular character of the solutions.
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The abstract, sentence by sentence
We carry out a gauge invariant analysis of certain perturbations of $D-2$-branes solutions of low energy string theories. We get generically a system of second order coupled differential equations, and show that only in very particular cases it is possible to reduce it to just one differential equation. Later, we apply it to a multi-parameter, generically singular family of constant dilaton solutions of non-critical string theories in $D$ dimensions, a generalization of that recently found in arXiv:0709.0471[hep-th]. According to arguments coming from the holographic gauge theory-gravity correspondence, and at least in some region of the parameters space, we obtain glue-ball spectra of Yang-Mills theories in diverse dimensions, putting special emphasis in the scalar metric perturbations not considered previously in the literature in the non critical setup. We compare our numerical results to those studied previously and to lattice results, finding qualitative and in some cases, tuning properly the parameters, quantitative agreement. These results seem to show some kind of universality of the models, as well as an irrelevance of the singular character of the solutions. We also develop the analysis for the T-dual, non trivial dilaton family of solutions, showing perfect agreement between them.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We carry out a gauge invariant analysis of certain perturbations of $D-2$-branes solutions of low energy string theories. | contribution 0.94 | 0.95 | 0.04 | asserted 0.97 |
| s1 | We get generically a system of second order coupled differential equations, and show that only in very particular cases it is possible to reduce it to just one differential equation. | result 0.81 | 0.96 | 0.08 | asserted 1.00 |
| s2 | Later, we apply it to a multi-parameter, generically singular family of constant dilaton solutions of non-critical string theories in $D$ dimensions, a generalization of that recently found in arXiv:0709.0471[hep-th]. | contribution 0.84 | 0.88 | 0.05 | asserted 0.95 |
| s3 | According to arguments coming from the holographic gauge theory-gravity correspondence, and at least in some region of the parameters space, we obtain glue-ball spectra of Yang-Mills theories in diverse dimensions, putting special emphasis in the scalar metric perturbations not considered previously in the literature in the non critical setup. | result 0.91 | 0.93 | 0.29 | asserted 0.70 |
| s4 | We compare our numerical results to those studied previously and to lattice results, finding qualitative and in some cases, tuning properly the parameters, quantitative agreement. | result 0.96 | 0.95 | 0.11 | asserted 0.99 |
| s5 | These results seem to show some kind of universality of the models, as well as an irrelevance of the singular character of the solutions. | interpretation 1.00 | 0.86 | 0.53 | hedged possibility 0.96 |
| s6 | We also develop the analysis for the T-dual, non trivial dilaton family of solutions, showing perfect agreement between them. | contribution 0.63 | 0.96 | 0.10 | asserted 1.00 |
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Original abstract
We carry out a gauge invariant analysis of certain perturbations of $D-2$-branes solutions of low energy string theories. We get generically a system of second order coupled differential equations, and show that only in very particular cases it is possible to reduce it to just one differential equation. Later, we apply it to a multi-parameter, generically singular family of constant dilaton solutions of non-critical string theories in $D$ dimensions, a generalization of that recently found in arXiv:0709.0471[hep-th]. According to arguments coming from the holographic gauge theory-gravity correspondence, and at least in some region of the parameters space, we obtain glue-ball spectra of Yang-Mills theories in diverse dimensions, putting special emphasis in the scalar metric perturbations not considered previously in the literature in the non critical setup. We compare our numerical results to those studied previously and to lattice results, finding qualitative and in some cases, tuning properly the parameters, quantitative agreement. These results seem to show some kind of universality of the models, as well as an irrelevance of the singular character of the solutions. We also develop the analysis for the T-dual, non trivial dilaton family of solutions, showing perfect agreement between them.
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What this paper does with the arXiv papers it cites
What it cites · 45 sentences without a confident label
Builds on 1 paper
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This is a generalized version of the constant dilaton family obtained in [ref] by performing a T-duality transformation of a non trivial dilaton family.
Space-time filling branes in non critical (super) string theories · The family of solutions · 0.97
Uses the method or tool of 1 paper
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By following steps similar to those in reference [ref] , the general solution to ([ref]) can be written, A_a(u) = l_0 u f(u)^a_a/2 ; C(u)=l_0 u^-1 f(u)^-1/2 with $f(u)$ as in ([ref]), and the constraints on the exponents given in ([ref]).
Space-time filling branes in non critical (super) string theories · A short derivation of the solutions. · 0.99
Compares with 4 papers
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This is due to the difference between our lightest $0^++$ mode related to metric perturbation and that obtained in [ref] .
Non-critical, near extremal AdS_6 background as a holographic laboratory of four dimensional YM theory · Summary of results and discussion · 0.90
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However, at difference of the case worked out in references [ref] , [ref] , they do not disentangle, in the sense that putting to zero the metric fluctuations is not consistent.
Non-critical supergravity (d>1) and holography · Scalar fluctuations · 1.00
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However, at difference of the case worked out in references [ref] , [ref] , they do not disentangle, in the sense that putting to zero the metric fluctuations is not consistent.
Spin-Two Glueballs, Positive Energy Theorems and the AdS/CFT Correspondence · Scalar fluctuations · 1.00
Cites as support 1 paper
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A further support to this statement is the existence, showed in [ref] , of a highly non trivial solution localized both in the Minkowski and cigar spaces, that was identified as the fundamental non critical string.
The fundamental non critical string · Summary of results and discussion · 1.00
Cites as background 17 papers
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In particular, soon after Maldacena' s work, Witten proposed a possible path to study non-supersymmetric, pure Yang-Mills (Y-M) theories at large number of colors $N$, starting from finite temperature field theories and their conjectured gravity duals, i.e. AdS black holes like solutions [ref] .
Anti-de Sitter Space, Thermal Phase Transition, And Confinement In Gauge Theories · Introduction · 0.90
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the so-called type II non-critical superstrings (NCS) [ref] [ref] .
Some Properties of (Non) Critical Strings · Introduction · 1.00
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Since the equivalence between type IIB superstring theory on $AdS_1,4×S^5$ and $N=4$ superconformal Yang-Mills theory in four dimensions was put on firm grounds [ref] [ref] [ref] , many works has been devoted to possible extensions of this gauge/gravity correspondence to general conformal setups, and non conformal (even confining) and less supersymmetric ones [ref] [ref] .
Large N Field Theories, String Theory and Gravity · Introduction · 0.96
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