Erschienen:
Springer Science and Business Media LLC, 2023
Erschienen in:Journal of High Energy Physics
Sprache:
Englisch
DOI:
10.1007/jhep06(2023)102
ISSN:
1029-8479
Entstehung:
Anmerkungen:
Beschreibung:
<jats:title>A<jats:sc>bstract</jats:sc>
</jats:title><jats:p>A 1-form symmetry and a 0-form symmetry may combine to form an extension known as the 2-group symmetry. We find the presence of the latter in a class of Argyres-Douglas theories, called <jats:italic>D</jats:italic><jats:sub><jats:italic>p</jats:italic></jats:sub>(USp(2<jats:italic>N</jats:italic>)), which can be realized by ℤ<jats:sub>2</jats:sub>-twisted compactification of the 6d <jats:inline-formula><jats:alternatives><jats:tex-math>$$ \mathcal{N} $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:mi>N</mml:mi>
</mml:math></jats:alternatives></jats:inline-formula> = (2<jats:italic>,</jats:italic> 0) of the <jats:italic>D</jats:italic>-type on a sphere with an irregular twisted puncture and a regular twisted full puncture. We propose the 3d mirror theories of general <jats:italic>D</jats:italic><jats:sub><jats:italic>p</jats:italic></jats:sub>(USp(2<jats:italic>N</jats:italic>)) theories that serve as an important tool to study their flavor symmetry and Higgs branch. Yet another important result is presented: we elucidate a technique, dubbed “bootstrap”, which generates an infinite family of <jats:inline-formula><jats:alternatives><jats:tex-math>$$ {D}_p^b(G) $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:msubsup>
<mml:mi>D</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>b</mml:mi>
</mml:msubsup>
<mml:mfenced>
<mml:mi>G</mml:mi>
</mml:mfenced>
</mml:math></jats:alternatives></jats:inline-formula> theories, where for a given arbitrary group <jats:italic>G</jats:italic> and a parameter <jats:italic>b</jats:italic>, each theory in the same family has the same number of mass parameters, same number of marginal deformations, same 1-form symmetry, and same 2-group structure. This technique is utilized to establish the presence or absence of the 2-group symmetries in several classes of <jats:inline-formula><jats:alternatives><jats:tex-math>$$ {D}_p^b(G) $$</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML">
<mml:msubsup>
<mml:mi>D</mml:mi>
<mml:mi>p</mml:mi>
<mml:mi>b</mml:mi>
</mml:msubsup>
<mml:mfenced>
<mml:mi>G</mml:mi>
</mml:mfenced>
</mml:math></jats:alternatives></jats:inline-formula> theories. In this regard, we find that the <jats:italic>D</jats:italic><jats:sub><jats:italic>p</jats:italic></jats:sub>(USp(2<jats:italic>N</jats:italic>)) theories constitute a special class of Argyres-Douglas theories that have a 2-group symmetry.</jats:p>