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Singular BPS boundary conditions in $\mathcal{N} = (2,2)$ supersymmetric gauge theories
High Energy Physics - Theory · Submitted 4 Sep 2020
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim We find that both A-type and B-type brane configurations are lifted to M-theory as a system of M2-branes ending on an M5-brane wrapped on a product of a holomorphic curve in $\mathbb{C}^2$ with a special Lagrangian 3-cycle in $\mathbb{C}^3$.
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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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The abstract, sentence by sentence
We derive general BPS boundary conditions in two-dimensional $\mathcal{N}=(2,2)$ supersymmetric gauge theories. We analyze the solutions of these boundary conditions, and in particular those that allow the bulk fields to have poles at the boundary. We also present the brane configurations for the half- and quarter-BPS boundary conditions of the $\mathcal{N}=(2,2)$ supersymmetric gauge theories in terms of branes in Type IIA string theory. We find that both A-type and B-type brane configurations are lifted to M-theory as a system of M2-branes ending on an M5-brane wrapped on a product of a holomorphic curve in $\mathbb{C}^2$ with a special Lagrangian 3-cycle in $\mathbb{C}^3$.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We derive general BPS boundary conditions in two-dimensional $\mathcal{N}=(2,2)$ supersymmetric gauge theories. | contribution 0.95 | 0.97 | 0.16 | asserted 1.00 |
| s1 | We analyze the solutions of these boundary conditions, and in particular those that allow the bulk fields to have poles at the boundary. | contribution 0.97 | 0.95 | 0.09 | asserted 0.98 |
| s2 | We also present the brane configurations for the half- and quarter-BPS boundary conditions of the $\mathcal{N}=(2,2)$ supersymmetric gauge theories in terms of branes in Type IIA string theory. | contribution 0.96 | 0.91 | 0.12 | asserted 1.00 |
| s3 | We find that both A-type and B-type brane configurations are lifted to M-theory as a system of M2-branes ending on an M5-brane wrapped on a product of a holomorphic curve in $\mathbb{C}^2$ with a special Lagrangian 3-cycle in $\mathbb{C}^3$. | result 1.00 | 0.91 | 0.38 | asserted 1.00 |
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The paper
Original abstract
We derive general BPS boundary conditions in two-dimensional $\mathcal{N}=(2,2)$ supersymmetric gauge theories. We analyze the solutions of these boundary conditions, and in particular those that allow the bulk fields to have poles at the boundary. We also present the brane configurations for the half- and quarter-BPS boundary conditions of the $\mathcal{N}=(2,2)$ supersymmetric gauge theories in terms of branes in Type IIA string theory. We find that both A-type and B-type brane configurations are lifted to M-theory as a system of M2-branes ending on an M5-brane wrapped on a product of a holomorphic curve in $\mathbb{C}^2$ with a special Lagrangian 3-cycle in $\mathbb{C}^3$.
Human review
How the literature uses it
4 arXiv papers cite this in 4 sentences
What it cites · 52 sentences without a confident label
Builds on 2 papers
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In section [ref] we construct brane configurations realizing these BPS boundary conditions in Type IIA string theory which generalizes the Hanany-Hori brane setup [ref] .
Branes and N=2 Theories in Two Dimensions · Introduction and summary · 0.98
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After T-dualizing along the $x^2$ direction and exchanging the coordinates $x^2$ and $x^3$, the brane configuration ([ref]) turns into the following brane configuration in Type IIB string theory [equation] This generalizes the brane construction [ref] of 3d $𝒩=2$ gauge theories by including the additional 5-branes.
Branes, Superpotentials and Superconformal Fixed Points · Half-BPS $𝒩=(1,1)$ boundary conditions · 0.95
Cites as support 1 paper
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This is identified with the half-BPS $𝒩=(1,1)$ Dirichlet boundary condition for the $U(1)$ vector multiplet [ref] .
Supersymmetric Boundary Conditions in Three Dimensional N = 2 Theories · Half-BPS $𝒩=(1,1)$ boundary conditions · 0.96
Cites as background 43 papers
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The detailed analysis of B-type boundary conditions for Abelian gauge theories were presented in [ref] and the basic B-type boundary conditions associated to the Neumann boundary conditions on the gauge field for non-Abelian gauge theories were studied in [ref] .
Exact Results In Two-Dimensional (2,2) Supersymmetric Gauge Theories With Boundary · Introduction and summary · 0.92
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The detailed analysis of B-type boundary conditions for Abelian gauge theories were presented in [ref] and the basic B-type boundary conditions associated to the Neumann boundary conditions on the gauge field for non-Abelian gauge theories were studied in [ref] .
Phases Of N=2 Theories In 1+1 Dimensions With Boundary · Introduction and summary · 0.92
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The detailed analysis of B-type boundary conditions for Abelian gauge theories were presented in [ref] and the basic B-type boundary conditions associated to the Neumann boundary conditions on the gauge field for non-Abelian gauge theories were studied in [ref] .
Exact results for boundaries and domain walls in 2d supersymmetric theories · Introduction and summary · 0.92
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