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Non-perturbative aspects of gauge and string theories and their holographic relations

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Marine Samsonyan

High Energy Physics - Theory · Submitted 7 Feb 2011

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We show that this partition function at some special values of the parameters directly reproduces the generating function for the Poincare` polynomial of the moduli space of instantons.

how it is stated · asserted 1.00 read the record →

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arXiv ID1102.1357 (version 1)
Pith IDGMQRDU6K, Pith's permanent record of this paper and its review
CitationMarine Samsonyan. "Non-perturbative aspects of gauge and string theories and their holographic relations." arXiv:1102.1357 (2011). https://pith.science/paper/GMQRDU6K
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The compiled record

The paper's own sentences, arranged. Each label is drawn from a closed vocabulary; the number beside it is the probability the classifier gave that label. Numbers in the tables are the authors', checked by code. No sentence in this record was written by a model.

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Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 10,948 input tokens, $0.0005 reported.

What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.07 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.10 · compares with prior results 0.14 · mentions code or data availability 0.02.

The abstract, sentence by sentence

arXiv listing abstract v1. Results and the main claim are underlined; .

In this thesis we discuss non-perturbative phenomena emerging in gauge and in string/supergravity theories. We compute the partition function of 5D minimal supersymmetric U(1) gauge theory with extra adjoint matter in general Omega-background. These N=2^* theories are massive deformations of N=4 SYM and can be thought of as a minimal supersymmetric five dimensional theory compactified on a circle. Such partition functions encode very rich topological information. We show that this partition function at some special values of the parameters directly reproduces the generating function for the Poincare` polynomial of the moduli space of instantons. We discuss the basic aspects of worldsheet and penta-brane instantons as well as (unoriented) D-brane instantons and threshold corrections to BPS-saturated couplings in superstring theories. We consider non-perturbative superpotentials generated by `gauge' and `exotic' instantons living on D3-branes at orientifold singularities. We also discuss the interplay between worldsheet and D-string instantons on T^4/Z_2. We focus on a 4-fermi amplitude and offer a multi D-string instanton interpretation. We discuss also AdS/CFT correspondence and the role of instantons there. We concentrate on AdS4/CFT3 correspondence. We revisit Kaluza-Klein compactification of 11-d supergravity on S^7/Z_k using group theory techniques that may find application in other flux vacua with internal coset spaces. Among the SO(2) neutral states, we identify marginal deformations and fields that couple to the recently discussed worldsheet instanton of Type IIA on CP^3. We also discuss charged states, dual to monopole operators, and the Z_k projection of the Osp(8|4) singleton and its tensor products. We show that the doubleton spectrum may account for N =6 higher spin symmetry enhancement in the limit of vanishing 't Hooft coupling in the boundary CS theory.

background contribution method result interpretation main claim

What the classifier reports for each sentence. The number is the probability it gave the label.
#sentencerolethe authors' own workstates the main conclusionstrength
s0 In this thesis we discuss non-perturbative phenomena emerging in gauge and in string/supergravity theories. background 0.52 0.67 0.06 asserted 0.84
s1 We compute the partition function of 5D minimal supersymmetric U(1) gauge theory with extra adjoint matter in general Omega-background. contribution 0.96 0.95 0.06 asserted 1.00
s2 These N=2^* theories are massive deformations of N=4 SYM and can be thought of as a minimal supersymmetric five dimensional theory compactified on a circle. background 0.91 0.12 0.04 asserted 0.72
s3 Such partition functions encode very rich topological information. interpretation 0.90 0.22 0.04 asserted 1.00
s4 We show that this partition function at some special values of the parameters directly reproduces the generating function for the Poincare` polynomial of the moduli space of instantons. result 0.99 0.94 0.21 asserted 1.00
s5 We discuss the basic aspects of worldsheet and penta-brane instantons as well as (unoriented) D-brane instantons and threshold corrections to BPS-saturated couplings in superstring theories. contribution 0.97 0.59 0.03 asserted 0.74
s6 We consider non-perturbative superpotentials generated by `gauge' and `exotic' instantons living on D3-branes at orientifold singularities. contribution 1.00 0.80 0.04 asserted 0.87
s7 We also discuss the interplay between worldsheet and D-string instantons on T^4/Z_2. contribution 1.00 0.77 0.03 asserted 0.72
s8 We focus on a 4-fermi amplitude and offer a multi D-string instanton interpretation. contribution 0.71 0.88 0.05 asserted 0.81
s9 We discuss also AdS/CFT correspondence and the role of instantons there. contribution 0.76 0.59 0.04 asserted 0.53
s10 We concentrate on AdS4/CFT3 correspondence. contribution 0.92 0.74 0.05 asserted 0.80
s11 We revisit Kaluza-Klein compactification of 11-d supergravity on S^7/Z_k using group theory techniques that may find application in other flux vacua with internal coset spaces. contribution 0.85 0.87 0.05 hedged possibility 0.92
s12 Among the SO(2) neutral states, we identify marginal deformations and fields that couple to the recently discussed worldsheet instanton of Type IIA on CP^3. result 0.75 0.88 0.05 asserted 1.00
s13 We also discuss charged states, dual to monopole operators, and the Z_k projection of the Osp(8|4) singleton and its tensor products. contribution 0.95 0.78 0.06 asserted 0.90
s14 We show that the doubleton spectrum may account for N =6 higher spin symmetry enhancement in the limit of vanishing 't Hooft coupling in the boundary CS theory. result 0.79 0.89 0.15 asserted 0.98

What kind of paper the classifier reports this is: theoretical result 0.99 · evidence from proof or derivation 0.94.

What was examined, and what was not

sources read
  • arXiv listing abstract v1
not examined
  • full text
  • figures and tables
  • references and citing sentences
  • relations to other papers
levels run
  • P abstract
not run
  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. Every number in the measurements table is the authors', checked by code. Record as JSON

The paper
Original abstract

In this thesis we discuss non-perturbative phenomena emerging in gauge and in string/supergravity theories. We compute the partition function of 5D minimal supersymmetric U(1) gauge theory with extra adjoint matter in general Omega-background. These N=2^* theories are massive deformations of N=4 SYM and can be thought of as a minimal supersymmetric five dimensional theory compactified on a circle. Such partition functions encode very rich topological information. We show that this partition function at some special values of the parameters directly reproduces the generating function for the Poincare` polynomial of the moduli space of instantons. We discuss the basic aspects of worldsheet and penta-brane instantons as well as (unoriented) D-brane instantons and threshold corrections to BPS-saturated couplings in superstring theories. We consider non-perturbative superpotentials generated by `gauge' and `exotic' instantons living on D3-branes at orientifold singularities. We also discuss the interplay between worldsheet and D-string instantons on T^4/Z_2. We focus on a 4-fermi amplitude and offer a multi D-string instanton interpretation. We discuss also AdS/CFT correspondence and the role of instantons there. We concentrate on AdS4/CFT3 correspondence. We revisit Kaluza-Klein compactification of 11-d supergravity on S^7/Z_k using group theory techniques that may find application in other flux vacua with internal coset spaces. Among the SO(2) neutral states, we identify marginal deformations and fields that couple to the recently discussed worldsheet instanton of Type IIA on CP^3. We also discuss charged states, dual to monopole operators, and the Z_k projection of the Osp(8|4) singleton and its tensor products. We show that the doubleton spectrum may account for N =6 higher spin symmetry enhancement in the limit of vanishing 't Hooft coupling in the boundary CS theory.

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1 arXiv paper cite this in 1 sentence

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers whose main result relates to this one's

Found among the papers closest to this one by title and main claim. Pith's classifier compared each pair's main results and a second model family confirmed the relation; checked against two further families, shown conflicts agreed 118 times in 120 and shown same results 218 times in 239. The quoted sentence is the other paper's main claim.

States the same result 1 paper
  • We show in particular that unlike the case with no extra matter, the partition function with extra adjoint at some special values of the parameters directly reproduces the generating function for the Poincare polynomial of the moduli space of instantons.

    Instantons and the 5D U(1) gauge theory with extra adjoint · 0.88

Papers citing it

Cites it as background 1 paper

What it cites · 162 sentences without a confident label

Builds on 1 paper
  • In the case with adjoint hypermultiplet instead of ([ref]) one starts with the (super) character [ref] χ= (1-T_m)× ∑_α,β=1^N e_βe_α^-1 {∑_s∈Y_α(T_1^-l_β(s)T_2^a_α(s)+1)+∑_s∈Y_β(T_1^l_α(s)+1T_2^-a_β(s))}.

    Multi-Instanton Calculus and Equivariant Cohomology · ADHM construction · 0.84

Uses the method or tool of 3 papers
Compares with 3 papers
Cites as support 1 paper
  • For $k=1,2$ dressing composite vector currents in the $6_±2$ and scalar operators in the $10_±2$ and $10^*_∓2$ (with $Δ_±=1,2$) with charge 2 monopole operators is crucial to the enhancement of supersymmetry to $= 8$ with full $SO(8)$ R-symmetry [ref] .

    M2-branes and AdS/CFT · A quick look at the spectrum · 0.96

Cites as background 21 papers
  • The multi-(instanton) configuration of this system was first analyzed in [ref] .

    Heterotic / type I duality and D-brane instantons · Vertex operators for `stringy' instantons · 0.84

  • D(p-4)-branes which are localized within the previous stack of branes behave as instantons [ref] .

    Branes within Branes · ADHM from branes within branes · 0.84

  • Interacting theories for massless HS gauge fields, thus only describing the doubleton, have been proposed by Vasiliev [ref] that capture some aspects of the holographic correspondence in the extremely stringy (high AdS curvature) regime.

    Nonlinear higher spin theories in various dimensions · Doubleton and higher spin gauge fields · 0.81

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