<p>We propose an <InlineEquation ID="IEq1"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> <mo>=</mo> <mn>2</mn> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{N}=2 \)</EquationSource> </InlineEquation> preserving deformation that leads to the confining phase of the 3d reduction of the <i>D</i><sub><i>p</i></sub>[SU(<i>N</i>)] Argyres-Douglas theories, referred to as 𝔻<sub><i>p</i></sub>[SU(<i>N</i>)]. This deformation incorporates monopole superpotential terms, which have recently played interesting roles in exploring possible RG fixed points of 3d supersymmetric gauge theories. Employing this confining phenomenon in 3d 𝔻<sub><i>p</i></sub>[SU(<i>N</i>)] theories, we also propose a deconfined version of the Kim-Park duality, an IR duality for 3d <InlineEquation ID="IEq2"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> <mo>=</mo> <mn>2</mn> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{N}=2 \)</EquationSource> </InlineEquation> adjoint SQCDs, where an adjoint matter field is replaced by a linear quiver tail of 𝔻<sub><i>p</i></sub>[SU(<i>N</i>)]. Surprisingly, both the confinement of deformed 𝔻<sub><i>p</i></sub>[SU(<i>N</i>)] and the deconfined Kim-Park duality can be proven only assuming some basic 3d <InlineEquation ID="IEq3"> <EquationSource Format="MATHML"><math display="inline"> <mi mathvariant="script">N</mi> <mo>=</mo> <mn>2</mn> </math></EquationSource> <EquationSource Format="TEX">\( \mathcal{N}=2 \)</EquationSource> </InlineEquation> IR dualities. Finally, we propose a variant of the Kim-Park duality deformed by a single monopole superpotential term, which can also be derived using the same method.</p>

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S-confinement of 3d Argyres-Douglas theories and the Seiberg-like duality with an adjoint matter

  • Chiung Hwang,
  • Sungjoon Kim

摘要

We propose an N = 2 \( \mathcal{N}=2 \) preserving deformation that leads to the confining phase of the 3d reduction of the Dp[SU(N)] Argyres-Douglas theories, referred to as 𝔻p[SU(N)]. This deformation incorporates monopole superpotential terms, which have recently played interesting roles in exploring possible RG fixed points of 3d supersymmetric gauge theories. Employing this confining phenomenon in 3d 𝔻p[SU(N)] theories, we also propose a deconfined version of the Kim-Park duality, an IR duality for 3d N = 2 \( \mathcal{N}=2 \) adjoint SQCDs, where an adjoint matter field is replaced by a linear quiver tail of 𝔻p[SU(N)]. Surprisingly, both the confinement of deformed 𝔻p[SU(N)] and the deconfined Kim-Park duality can be proven only assuming some basic 3d N = 2 \( \mathcal{N}=2 \) IR dualities. Finally, we propose a variant of the Kim-Park duality deformed by a single monopole superpotential term, which can also be derived using the same method.