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High Energy Physics - Theory · arXiv:0908.1816 v1 · submitted 13 Aug 2009

Branes in Supergroups

Thomas Creutzig

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The paper says

“In the supergroup case we find some branes that preserve the topological A-twist and some that preserve the B-twist.”

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The paper

Abstract

In this thesis we initiate a systematic study of branes in Wess-Zumino-Novikov-Witten models with Lie supergroup target space. We start by showing that a branes' worldvolume is a twisted superconjugacy class and construct the action of the boundary WZNW model. Then we consider symplectic fermions and give a complete description of boundary states including twisted sectors. Further we show that the GL(1|1) WZNW model is equivalent to symplectic fermions plus two scalars. We then consider the GL(1|1) boundary theory. Twisted and untwisted Cardy boundary states are constructed explicitly and their amplitudes are computed. In the twisted case we find a perturbative formulation of the model. For this purpose the introduction of an additional fermionic boundary degree of freedom is necessary. We compute all bulk one-point functions, bulk-boundary two-point functions and boundary three-point functions. Logarithmic singularities appear in bulk-boundary as well as pure boundary correlation functions. Finally we turn to world-sheet and target space supersymmetric models. There is N=2 superconformal symmetry in many supercosets and also in certain supergroups. In the supergroup case we find some branes that preserve the topological A-twist and some that preserve the B-twist.

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. No sentence in this record was written by a model.

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

How the main claim is stated: asserted 0.99

What the abstract itself states, as probabilities: claims first 0.27 · states limitation 0.10 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.08 · compares with prior results 0.07 · mentions code or data availability 0.01

The abstract, sentence by sentence

This table labels the abstract only (arXiv listing abstract v1). The number is the probability the classifier gave the label.

SentenceRoleThe authors' own workStates the main conclusionStrength
In this thesis we initiate a systematic study of branes in Wess-Zumino-Novikov-Witten models with Lie supergroup target space. contribution 0.99 0.89 0.06 asserted 0.96
We start by showing that a branes' worldvolume is a twisted superconjugacy class and construct the action of the boundary WZNW model. contribution 0.55 0.95 0.13 asserted 1.00
Then we consider symplectic fermions and give a complete description of boundary states including twisted sectors. contribution 0.86 0.93 0.08 asserted 1.00
Further we show that the GL(1|1) WZNW model is equivalent to symplectic fermions plus two scalars. result 0.89 0.87 0.11 asserted 1.00
We then consider the GL(1|1) boundary theory. contribution 0.90 0.77 0.02 unclear 0.52
Twisted and untwisted Cardy boundary states are constructed explicitly and their amplitudes are computed. contribution 0.71 0.95 0.09 asserted 1.00
In the twisted case we find a perturbative formulation of the model. result 0.57 0.95 0.05 asserted 1.00
For this purpose the introduction of an additional fermionic boundary degree of freedom is necessary. method 0.96 0.65 0.03 asserted 1.00
We compute all bulk one-point functions, bulk-boundary two-point functions and boundary three-point functions. contribution 0.60 0.95 0.07 asserted 1.00
Logarithmic singularities appear in bulk-boundary as well as pure boundary correlation functions. result 1.00 0.91 0.08 asserted 1.00
Finally we turn to world-sheet and target space supersymmetric models. contribution 0.78 0.71 0.03 asserted 0.50
There is N=2 superconformal symmetry in many supercosets and also in certain supergroups. background 0.83 0.27 0.06 asserted 0.96
In the supergroup case we find some branes that preserve the topological A-twist and some that preserve the B-twist. result 0.94 0.93 0.13 asserted 0.99

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 1.00

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

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  • S sections
  • T body sentences
  • C citations
  • R cross-paper relations

How the labels were made

Compiled by classifier-1.13-20260917 via OpenRouter, question bank abstract-p1-20260923, 2026-09-23: 1 request, 9,286 input tokens, $0.0004 reported.

Every quoted sentence on this record is the authors'. Every label is from Pith's closed vocabulary, with the probability shown beside it. This record as JSON

Cited by 1 Pith paper

Reviewed papers on Pith that cite this one. The full citation record

  1. Logarithmic Conformal Field Theory: Beyond an Introduction hep-th · Mar 2013
How the literature uses it

9 arXiv papers cite this in 15 sentences

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 citing it · 3 sentences without a confident label

Uses its method or tool 1 paper
Cites it as support 1 paper
Cites it as background 7 papers
  • So far, the boundary GL(1$|$1) WZNW model is well understood, i.e. boundary states and correlation functions are computed [ref] .

    Branes in the OSP(1|2) WZNW model · Introduction · 0.83

  • Boundary conformal field theory on supergroups hasbeen investigated in [ref] .

    From world-sheet supersymmetry to super target spaces · Boundary actions and the Warner problem · 0.96

  • [Examples of such models studied recently are deformations of Liouville field theory and $H_3^+$ model [ref] , as well as supergroup WZNW models [ref] .

    The FZZ duality with boundary · Introduction · 0.92

What it cites · 99 sentences without a confident label

Builds on 1 paper
  • Following previous reasoning for bosonic models [ref] we have shown that such branes are localised along (twisted) super-conjugacy classes, an insight that generalises to other supergroup target spaces (section [ref]).

    D-branes in the WZW model · Conclusions · 0.80

Uses the method or tool of 5 papers
Compares with 9 papers
  • Note that these cases resemble the atypical branes in [ref] .

    Geometry of branes on supergroups · Boundary conditions · 1.00

  • The normalisation is fixed by defining [equation] Then we get [equation] which is exactly as in [ref] .

    Symplectic Fermions · Bulk correlation functions · 0.95

  • As in the case of the $p=2$ triplet theory [ref] , untwisted branes turn out to be in one-to-one correspondence with irreducible representations of the current algebra.

    The logarithmic triplet theory with boundary · Conclusions · 0.93

Cites as background 43 papers

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