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D-branes and Discrete Torsion II
High Energy Physics - Theory · Submitted 2 Mar 1999
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We show that, as suggested in previous work, closed string moduli do not fully resolve the singularity, but the resulting space -- containing n-1 conifold singularities -- is somewhat surprising.
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The abstract, sentence by sentence
We derive D-brane gauge theories for C^3/Z_n x Z_n orbifolds with discrete torsion and study the moduli space of a D-brane at a point. We show that, as suggested in previous work, closed string moduli do not fully resolve the singularity, but the resulting space -- containing n-1 conifold singularities -- is somewhat surprising. Fractional branes also have unusual properties. We also define an index which is the CFT analog of the intersection form in geometric compactification, and use this to show that the elementary D6-brane wrapped about T^6/Z_n x Z_n must have U(n) world-volume gauge symmetry.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We derive D-brane gauge theories for C^3/Z_n x Z_n orbifolds with discrete torsion and study the moduli space of a D-brane at a point. | contribution 1.00 | 0.97 | 0.14 | asserted 1.00 |
| s1 | We show that, as suggested in previous work, closed string moduli do not fully resolve the singularity, but the resulting space -- containing n-1 conifold singularities -- is somewhat surprising. | result 0.95 | 0.89 | 0.39 | asserted 0.99 |
| s2 | Fractional branes also have unusual properties. | result 0.88 | 0.64 | 0.05 | asserted 0.95 |
| s3 | We also define an index which is the CFT analog of the intersection form in geometric compactification, and use this to show that the elementary D6-brane wrapped about T^6/Z_n x Z_n must have U(n) world-volume gauge symmetry. | contribution 0.50 | 0.95 | 0.24 | asserted 1.00 |
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Original abstract
We derive D-brane gauge theories for C^3/Z_n x Z_n orbifolds with discrete torsion and study the moduli space of a D-brane at a point. We show that, as suggested in previous work, closed string moduli do not fully resolve the singularity, but the resulting space -- containing n-1 conifold singularities -- is somewhat surprising. Fractional branes also have unusual properties. We also define an index which is the CFT analog of the intersection form in geometric compactification, and use this to show that the elementary D6-brane wrapped about T^6/Z_n x Z_n must have U(n) world-volume gauge symmetry.
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References
How the literature uses it
10 arXiv papers cite this in 19 sentences
Papers citing it · 12 sentences without a confident label
Builds on it 1 paper
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Fiol who considered the special case when $n=3$ in their paper [ref] on $ℂ^3/(ℤ/ℓℤ)^2$ orbifolds with discrete torsion.
Center of Twisted Graded Hecke Algebras for Homocyclic Groups · Main results · 0.96
Cites it as background 4 papers
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In this section we review the well known orbifold construction for D-branes [ref] and how to introduce discrete torsion [ref] on them.
Aspects of ABJM orbifolds with discrete torsion · The Orbifold projection · 0.99
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The basic structure of these matrices and the resulting 4d $=1$ gauge theories where studied in [ref] , as we now review.
The Hitchhiker's Guide to Tensionless String Limits in 4d SCFTs · The open string description · 0.97
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[ref] Orbifold CFTs can be obtained from a parent CFT by modding out (“gauging”) a discrete symmetry group $G$.
Relationship between Symmetry Protected Topological Phases and Boundary Conformal Field Theories via the Entanglement Spectrum · Quick review of orbifold CFTs · 1.00
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