Superconformal vector multiplet self-couplings and generalised Fayet-Iliopoulos terms

Abstract We study non-supersymmetric extremal black hole excitations of 4d $$ \mathcal{N} $$ N = 2 supersymmetric string vacua arising from compactification on Calabi-Yau threefolds. The values of the (vector multiplet) moduli at the black hole horizon are governed by the attractor mechanism. This raises natural questions, such as “what is the distribution of attractor points on moduli space?” and “how many attractor black holes are there with horizon area up to a certain size?” We employ tools developed by Denef and Douglas [1] to answer these questions.

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R Symmetry and the Topological Twist of N = 2 Effective Supergravities of Heterotic Strings

International Journal of Modern Physics A ◽

10.1142/s0217751x97000475 ◽

1997 ◽

Vol 12 (02) ◽

pp. 379-418 ◽

Cited By ~ 1

Author(s):

Marco Billó ◽

Pietro Fré ◽

Riccardo D'auria ◽

Sergio Ferrara ◽

Paolo Soriani ◽

...

Keyword(s):

Gauge Theories ◽

The Other ◽

Tree Level ◽

Vector Multiplet ◽

Continuous Symmetry ◽

Yang Mills ◽

Heterotic Strings ◽

Axion Field ◽

Effective Theories ◽

R Symmetry

We discuss R symmetries in locally supersymmetric N = 2 gauge theories coupled to hypermultiplets which can be thought of as effective theories of heterotic superstring models. In this type of supergravities a suitable R symmetry exists and can be used to topologically twist the theory: the vector multiplet containing the dilaton–axion field has different R charge assignments with respect to the other vector multiplets. Correspondingly a system of coupled instanton equations emerges, mixing gravitational and Yang–Mills instantons with triholomorphic hyperinstantons and axion instantons. For the tree level classical special manifolds ST(n) = SU(1,1)/U(1) × SO(2,n)/[SO(2) × SO(n)], R symmetry with the specified properties is a continuous symmetry, but for the quantum-corrected manifolds [Formula: see text] a discrete R group of electric–magnetic duality rotations is sufficient and we argue that it exists.

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Localized Vector Multiplet on a Wall

Progress of Theoretical Physics ◽

10.1143/ptp.111.907 ◽

2004 ◽

Vol 111 (6) ◽

pp. 907-921 ◽

Cited By ~ 12

Author(s):

N. Maru ◽

N. Sakai

Keyword(s):

Vector Multiplet

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PREPOTENTIALS OF N=2 SUPERSYMMETRIC GAUGE THEORIES AND SOLITON EQUATIONS

Modern Physics Letters A ◽

10.1142/s0217732396000151 ◽

1996 ◽

Vol 11 (02) ◽

pp. 131-138 ◽

Cited By ~ 91

Author(s):

TOHRU EGUCHI ◽

SUNG-KIL YANG

Keyword(s):

Gauge Theories ◽

Scalar Fields ◽

Vector Multiplet ◽

Coulomb Branch ◽

Supersymmetric Gauge Theories ◽

Expectation Values ◽

Soliton Equations ◽

Supersymmetric Gauge ◽

Β Function ◽

The One

Using recently proposed soliton equations we derive a basic identity for the scaling violation of N=2 supersymmetric gauge theories Σiai∂F/∂ai−2F=8πib1u. Here F is the prepotential, ai’s are the expectation values of the scalar fields in the vector multiplet, u=1/2 Tr<ϕ2> and b1 is the coefficient of the one-loop β-function. This equation holds in the Coulomb branch of all N=2 supersymmetric gauge theories coupled with massless matter.

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Superconformal duality-invariant models and $$ \mathcal{N} $$ = 4 SYM effective action

Journal of High Energy Physics ◽

10.1007/jhep09(2021)180 ◽

2021 ◽

Vol 2021 (9) ◽

Author(s):

Sergei M. Kuzenko

Keyword(s):

Gauge Group ◽

Nonlinear Theory ◽

Effective Action ◽

Low Energy ◽

Vector Multiplet ◽

Coulomb Branch ◽

Conformal Supergravity ◽

Yang Mills ◽

Planar Part ◽

Invariant Coupling

Abstract We present $$ \mathcal{N} $$ N = 2 superconformal U(1) duality-invariant models for an Abelian vector multiplet coupled to conformal supergravity. In a Minkowski background, such a nonlinear theory is expected to describe (the planar part of) the low-energy effective action for the $$ \mathcal{N} $$ N = 4 SU(N) super-Yang-Mills (SYM) theory on its Coulomb branch where (i) the gauge group SU(N) is spontaneously broken to SU(N − 1) × U(1); and (ii) the dynamics is captured by a single $$ \mathcal{N} $$ N = 2 vector multiplet associated with the U(1) factor of the unbroken group. Additionally, a local U(1) duality-invariant action generating the $$ \mathcal{N} $$ N = 2 super-Weyl anomaly is proposed. By providing a new derivation of the recently constructed U(1) duality-invariant $$ \mathcal{N} $$ N = 1 superconformal electrodynamics, we introduce its SL(2, ℝ) duality-invariant coupling to the dilaton-axion multiplet.

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