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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.
)

Mar 19, 2024

58 pages

Published in:

JHEP 05 (2024) 340

Published: May 31, 2024

e-Print:

2403.12525 [hep-th]

DOI:

10.1007/JHEP05(2024)340

View in:

ADS Abstract Service

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Abstract: (Springer)

We report a novel BPS jumping phenomenon of 5d

\mathcal{N}

= 1 supersymmetric gauge theories whose brane configuration is equipped with an O7-plane. The study of the relation between O7

^{+}

-plane and O7

^{−}

-plane reveals that such BPS jumps take place when the Higgsing is triggered near the O7-plane upon a particular parameter tuning of the theories. We propose two types of gauge theories whose BPS spectra jump. One is the SU(2N + 8) gauge theory with a symmetric hypermultiplet converted to the SU(2N) gauge theory with an antisymmetric hypermultiplet. The other is pure SO(2N + 8) gauge theory jumping to pure Sp(N) gauge theory. We explicitly confirm our proposal through the (un)refined instanton partition functions. Furthermore, we discuss feasible generalizations involving an Op-plane for supersymmetric gauge theories of eight supercharges in four and three dimensions (p = 6, 5 respectively).

Note:

v1:58 pages, 17 figures, v2:footnotes added, references added, published version

Brane Dynamics in Gauge Theories
Nonperturbative Effects
Supersymmetric Gauge Theory
Topological Strings
gauge field theory: supersymmetry
dimension: 3
dimension: 4
spectrum: BPS
instanton: partition function
supercharge

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