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The Toric Phases of the Y^{p,q} Quivers
High Energy Physics - Theory · Submitted 23 Dec 2004
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We construct all connected toric phases of the recently discovered $Y^{p,q}$ quivers and show their IR equivalence using Seiberg duality.
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The abstract, sentence by sentence
We construct all connected toric phases of the recently discovered $Y^{p,q}$ quivers and show their IR equivalence using Seiberg duality. We also compute the R and global U(1) charges for a generic toric phase of $Y^{p,q}$.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We construct all connected toric phases of the recently discovered $Y^{p,q}$ quivers and show their IR equivalence using Seiberg duality. | contribution 0.98 | 0.96 | 0.68 | asserted 1.00 |
| s1 | We also compute the R and global U(1) charges for a generic toric phase of $Y^{p,q}$. | result 0.54 | 0.95 | 0.13 | asserted 1.00 |
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The paper
Original abstract
We construct all connected toric phases of the recently discovered $Y^{p,q}$ quivers and show their IR equivalence using Seiberg duality. We also compute the R and global U(1) charges for a generic toric phase of $Y^{p,q}$.
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References
How the literature uses it
15 arXiv papers cite this in 21 sentences
Papers citing it · 13 sentences without a confident label
Uses its data or values 1 paper
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The $R$-charge assignments as computed in [ref] are [equation] To check consistency, one verifies that $r(𝗑_α𝗒_β) = r(𝗑_α) + r(𝗒_β)$ in each of the four cases $α, β∈{1,2}$.
On the noncommutative geometry of square superpotential algebras · Azumaya loci and (non-local) global dimensions · 0.88
Compares with it 2 papers
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We expect that the cascade will have similar qualitative features to the cascade for the $Y^p,q$ family [ref] and its supergravity dual [ref] .
Brane Tilings and Non-Commutative Geometry · Introduction · 0.80
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Of course, one may always add regular branes until all ranks are positive.[It is worth noting that this procedure is closely related to the algorithm for constructing fractional brane rank assignments introduced in [ref] , in which the difference in the ranks between two nodes in the quiver is proportional to the baryonic $U(1)$ charge of the bifundamental field connecting them, with one independent vector for each baryonic $U(1)$.
Dimers, Orientifolds and Anomalies · Anomalies and Zig-Zag Paths · 0.89
Cites it as background 5 papers
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The $Y^p,q$ quiver gauge theories were constructed to model these geometries using symmetry arguments in a process known as geometric engineering, by Benvenuti, Franco, Hanany, Martelli, Sparks, and Kazakopoulos [ref] .
On the noncommutative geometry of square superpotential algebras · A math-physics dictionary for quivers · 0.89
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The quiver gauge theory arises from the worldvolume of stack of D3 probling a singular, toric Calabi-Yau (CY) 3-fold [ref] .
New dimer integrable systems and defects in five dimensional gauge theory · Dimer models and integrable systems · 0.81
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More technical details and examples can be found in [ref] .
Quantum Periods and Spectra in Dimer Models and Calabi-Yau Geometries · Examples · 0.99
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