Note on refined topological vertex, Jack polynomials and instanton counting

Jianfeng Wu

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Note on refined topological vertex, Jack polynomials and instanton counting

Jianfeng Wu

High Energy Physics - Theory · Submitted 10 Dec 2010

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

The authors' main claim Also, we obtain the partition function for elliptic N=2 models, the results coincide with those of Nekrasov instanton counting partition functions for the $N=2^{\ast}$ theories.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.16 · human participants 0.01 · controlled comparison 0.05 · randomized assignment 0.01 · states quantitative result 0.08 · compares with prior results 0.92 · mentions code or data availability 0.02.

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In this article, we calculated the refined topological vertex for the one parameter case using the Jack symmetric functions. Also, we obtain the partition function for elliptic N=2 models, the results coincide with those of Nekrasov instanton counting partition functions for the $N=2^{\ast}$ theories.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	In this article, we calculated the refined topological vertex for the one parameter case using the Jack symmetric functions.	contribution 0.90	0.96	0.30	asserted 1.00
s1	Also, we obtain the partition function for elliptic N=2 models, the results coincide with those of Nekrasov instanton counting partition functions for the $N=2^{\ast}$ theories.	result 1.00	0.88	0.47	asserted 1.00

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arXiv listing abstract v1

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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 article, we calculated the refined topological vertex for the one parameter case using the Jack symmetric functions. Also, we obtain the partition function for elliptic N=2 models, the results coincide with those of Nekrasov instanton counting partition functions for the $N=2^{\ast}$ theories.

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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

What it cites · 13 sentences without a confident label

Uses the method or tool of 2 papers

Using the gluing rule [ref] , one can truncate the toric diagram into two separate ones denoted by $T_1$ and $T_2$(as showing in Fig. 6b).

Vortex Counting and Lagrangian 3-manifolds · $U(2)×U(2)$ theory · 0.98
Using the gluing rule [ref] , one can truncate the toric diagram into two separate ones denoted by $T_1$ and $T_2$(as showing in Fig. 6b).

Surface Operator, Bubbling Calabi-Yau and AGT Relation · $U(2)×U(2)$ theory · 0.98

Cites as background 1 paper

The detailed relation of these two realizations of $N=2$ gauge theories were considered in Dijkgraaf and Vafa's article [ref] which we will now briefly review in the following.

Toda Theories, Matrix Models, Topological Strings, and N=2 Gauge Systems · Brane setup and toric diagram · 0.98

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