O-vertex, O7$^+$-plane, and Topological Vertex - INSPIRE

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O-vertex, O7 $^+$ -plane, and Topological Vertex

Sung-Soo Kim
(
- UESTC, Chengdu
)
,
Xiaobin Li
(
- Southwest Jiaotong U.
)
,
Futoshi Yagi
(
- Huzhou U.
)
,
Rui-Dong Zhu
(
- Suzhou, Soochow U.
)

Dec 27, 2024

32 pages

e-Print:

2412.19655 [hep-th]

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Abstract: (arXiv)

We revisit the instanton partition function for 5d

\mathcal{N}=1

SO(

N

) gauge theories compactified on S

^1

, computed from the topological vertex formalism with the O-vertex based on a 5-brane web diagram with an O5-plane. We introduce an identity that enables us to rewrite the unrefined partition function into a new expression in terms of the Nekrasov factors summed over Young diagrams, which can be interpreted as the freezing of an O7-plane. Based on this, we propose topological vertex formalism with an O7

^+

-plane.

Note:

32 pages, 12 figures

References(36)

Figures(0)

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)
,
Albrecht Klemm
(
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)
,
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(
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)
,
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(
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)

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•
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•
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Amer Iqbal
(
- Washington U., Seattle
)
,
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(
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)
,
Cumrun Vafa
(
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)

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•
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Nikita A. Nekrasov
(
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)

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(
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)
,
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(
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)

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(
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,
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)
,
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)
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)

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•
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Sung-Soo Kim
(
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)
,
Xing-Yue Wei
(
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)

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Hee-Cheol Kim
(
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)
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(
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)
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(
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)

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•
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(
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)
,
Sung-Soo Kim
(
- UESTC, Chengdu and
- Chengdu U. of Sci. Tech.
)
,
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(
- Korea Inst. Advanced Study, Seoul
)
,
Futoshi Yagi
(
- Technion
)

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•
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•
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(
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)
,
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(
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)
,
Futoshi Yagi
(
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)

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•
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•
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Hirotaka Hayashi
(
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)
,
Rui-Dong Zhu
(
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- Dublin Inst.
)

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•
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•
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•
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[19]

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Satoshi Nawata
(
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)
,
Rui-Dong Zhu
(
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)

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•
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[20]

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Oren Bergman
(
- Technion
)
,
Gabi Zafrir
(
- Technion
)

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•
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•
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[21]

Seiberg-Witten curves with O7 $^{±}$ -planes

Hirotaka Hayashi
(
- Tokai U., Hiratsuka
)
,
Sung-Soo Kim
(
- UESTC, Chengdu
)
,
Kimyeong Lee
(
- Korea Inst. Advanced Study, Seoul
)
,
Futoshi Yagi
(
- Southwest Jiaotong U.
)

- JHEP 11 (2023) 178
•
e-Print:
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•
DOI:
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[22]

Freezing and BPS jumping

Sung-Soo Kim
(
- UESTC, Chengdu
)
,
Xiaobin Li
(
- Southwest Jiaotong U.
)
,
Satoshi Nawata
(
- Fudan U. and
- Shanghai, Astron. Observ.
)
,
Futoshi Yagi
(
- Southwest Jiaotong U.
)

- JHEP 05 (2024) 340
•
e-Print:
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•
DOI:
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[23]

Superconformal indices for non-Lagrangian theories in five dimensions

Hee-Cheol Kim
(
- APCTP, Pohang
)
,
Minsung Kim
(
- APCTP, Pohang
)
,
Sung-Soo Kim
(
- UESTC, Chengdu
)
,
Gabi Zafrir
(
- Haifa U., Oranim and
- Haifa U.
)

- JHEP 03 (2024) 164
•
e-Print:
- 2307.03231
•
DOI:
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[24]

S-foldings of 5d SCFTs

Hee-Cheol Kim
(
- POSTECH, Pohang and
- APCTP, Pohang
)
,
Sung-Soo Kim
(
- UESTC, Chengdu
)
,
Kimyeong Lee
(
- Korea Inst. Advanced Study, Seoul
)

- JHEP 05 (2022) 178
•
e-Print:
- 2112.14550
•
DOI:
- 10.1007/JHEP05(2022)178

[25]

Defects and type D relativistic Toda lattice for some 5d gauge theories

Kimyeong Lee
(
- Korea Inst. Advanced Study, Seoul and
- BIMSA, Beijing
)
,
Norton Lee
(
- IBS, Daejeon
)

- JHEP02(2025)210
•
e-Print:
- 2409.03483
•
DOI:
- 10.1007/JHEP02(2025)210

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