Janus and multifaced supersymmetric theories. II

Kim, Chanju; Koh, Eunkyung; Lee, Kimyeong

doi:10.1103/physrevd.79.126013

Cited by 22 publications

(39 citation statements)

References 23 publications

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“…Obviously, the reason for considering a non-vanishing C0 is that we want to capture the theta parameter θ in the SYM action (2.2). 8 The hatted indices are the flat indices as in the previous section. We assume e 12) and ( * 4 F 5 ) j and ( * 4 F 3 ) µν j are defined in (B.54).…”

Section: Jhep03(2018)128mentioning

confidence: 99%

“…Here, ISO(1, 1), SO(2) and SO(4) act on x 0,1 , x 4,5 and x 6,7,8,9 , respectively, and the couplings in the action may depend on x 2,3 . The metric (2.7) is assumed to be 27) where the indices are α, β = 0, 1; m, n = 2, 3; a, b = 4, 5 and p, q = 6, 7, 8, 9.…”

Section: Jhep03(2018)128mentioning

confidence: 99%

“…is the volume form of the unit S 3 embedded in the R 4 parametrized by x 3,7,8,9 with its center at the position of the (p, q) 5-brane. ǫ 3 can be written explicitly as…”

Section: (P Q) 5-branes and Gaiotto-witten Solutionmentioning

confidence: 99%

“…(See also section 3.4 in [2]) It is a solution of the SUSY conditions (2.14)-(2.18) with the parameters depending only on x 3 . ISO(1, 2) is the Poincaré group acting on x 0,1,2 and SO(3) × SO(3) acts on x 4,5,6 and x 7,8,9 . The metric is assumed to be flat and the non-trivial components of the couplings in the action are given as follows: 5 τ = 4πa(c + i) = τ 0 + 4πD e i2ψ , (2.23)…”

Section: Jhep03(2018)128mentioning

confidence: 99%

“…JHEP03 (2018)128 φ is the dilaton field, g IJ is the background metric, B 2 = 1 2 B IJ dx I ∧ dx J is the KalbRamond 2-form field and C n (n = 0, 2,4,6,8) are the Ramond-Ramond (R-R) n-form potential. The hat " " on the background fields indicates that they are evaluated at the position of the Dp-branes placed at x i = λΦ i , which is defined via a Taylor expansion as, e.g.,…”

Section: B11 Bosonic Partmentioning

confidence: 99%

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Deformation of $$ \mathcal{N} $$ = 4 SYM with varying couplings via fluxes and intersecting branes

Choi

Fernandez-Melgarejo

Sugimoto

2018

J. High Energ. Phys.

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We study deformations of N = 4 supersymmetric Yang-Mills theory with space-time dependent couplings by embedding probe D3-branes in supergravity backgrounds with non-trivial fluxes. The effective action on the world-volume of the D3-branes is analyzed and a map between the deformation parameters and the fluxes is obtained. As an explicit example, we consider D3-branes in a background corresponding to (p, q) 5-branes intersecting them and show that the effective theory on the D3-branes precisely agrees with the supersymmetric Janus configuration found by Gaiotto and Witten in [1]. D3-branes in an intersecting D3-brane background is also analyzed and the D3-brane effective action reproduces one of the supersymmetric configurations with ISO(1, 1) × SO(2) × SO(4) symmetry found in our previous paper [2].

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Section: Jhep03(2018)128mentioning

confidence: 99%

Section: Jhep03(2018)128mentioning

confidence: 99%

“…is the volume form of the unit S 3 embedded in the R 4 parametrized by x 3,7,8,9 with its center at the position of the (p, q) 5-brane. ǫ 3 can be written explicitly as…”

Section: (P Q) 5-branes and Gaiotto-witten Solutionmentioning

confidence: 99%

Section: Jhep03(2018)128mentioning

confidence: 99%

Section: B11 Bosonic Partmentioning

confidence: 99%

See 3 more Smart Citations

Deformation of $$ \mathcal{N} $$ = 4 SYM with varying couplings via fluxes and intersecting branes

Choi

Fernandez-Melgarejo

Sugimoto

2018

J. High Energ. Phys.

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Axion Electrodynamics in Magnetoelectric Media

Martín-Ruiz

Cambiaso

Urrutia

2021

Topics in Applied Physics

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Supersymmetric inhomogeneous field theories in 1+1 dimensions

Kim

Kwon

2022

J. High Energ. Phys.

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We study supersymmetric inhomogeneous field theories in 1+1 dimensions which have explicit coordinate dependence. Although translation symmetry is broken, part of supersymmetries can be maintained. In this paper, we consider the simplest inhomogeneous theories with one real scalar field, which possess an unbroken supersymmetry. The energy is bounded from below by the topological charge which is not necessarily nonnegative definite. The bound is saturated if the first-order Bogomolny equation is satisfied. Non-constant static supersymmetric solutions above the vacuum involve in general a zero mode although the system lacks translation invariance. We consider two inhomogeneous theories obtained by deforming supersymmetric sine-Gordon theory and ϕ6 theory. They are deformed either by overall inhomogeneous rescaling of the superpotential or by inhomogeneous deformation of the vacuum expectation value. We construct explicitly the most general supersymmetric solutions and obtain the BPS energy spectrum for arbitrary position-dependent deformations. Nature of the solutions and their energies depend only on the boundary values of the inhomogeneous functions. The vacuum of minimum energy is not necessarily a constant configuration. In some cases, we find a one-parameter family of degenerate solutions which include a non-vacuum constant solution as a special case.

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Janus and multifaced supersymmetric theories. II

Cited by 22 publications

References 23 publications

Deformation of $$ \mathcal{N} $$ = 4 SYM with varying couplings via fluxes and intersecting branes

Deformation of $$ \mathcal{N} $$ = 4 SYM with varying couplings via fluxes and intersecting branes

Axion Electrodynamics in Magnetoelectric Media

Supersymmetric inhomogeneous field theories in 1+1 dimensions

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