On the abundance of supersymmetric strings in $Ad{S}_3\times S^3\times S^3\times S^1$ describing BPS line operators

Abstract

We study supersymmetric open strings in type IIB $Ad{S}_3\times S^3\times S^3\times S^1$ with mixed R-R and NS-NS fields. We focus on strings ending along a straight line at the boundary of $Ad{S}_3$, which can be interpreted as line operators in a dual CFT${}_2$. We study both classical configurations and quadratic fluctuations around them. We find that strings sitting at a fixed point in $S^3\times S^3\times S^1$, i.e. satisfying Dirichlet boundary conditions, are 1/2 BPS. We also show that strings sitting at different points of certain submanifolds of $S^3\times S^3\times S^1$ can still share some fraction of the supersymmetry. This allows to define supersymmetric smeared configurations by the superposition of them, which range from 1/2 BPS to 1/8 BPS. In addition to the smeared configurations, there are as well 1/4 BPS and 1/8 BPS strings satisfying Neumann boundary conditions. All these supersymmetric strings are shown to be connected by a network of interpolating BPS boundary conditions. Our study reveals the existence of a rich moduli of supersymmetric open string configurations, for which the appearance of massless fermionic fields in the spectrum of quadratic fluctuations is crucial.

arXiv comment23 pages, 1 figure; v3: typos corrected and clarifications added. Version to appear in J.Phys.A

References in corpus (31)

• Wilson loops in large N field theories
• Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
• Green-Schwarz String in AdS_5 x S^5: Semiclassical Partition Function
• An exact formula for the radiation of a moving quark in N=4 super Yang Mills
• Integrability and the AdS(3)/CFT(2) correspondence
• A supermatrix model for N=6 super Chern-Simons-matter theory
• Wilson loops in 3-dimensional N=6 supersymmetric Chern-Simons Theory and their string theory duals
• Wilson Loops in Superconformal Chern-Simons Theory and Fundamental Strings in Anti-de Sitter Supergravity Dual
• B-field in AdS(3)/CFT(2) Correspondence and Integrability
• Supersymmetric Wilson Loops in N=6 Super Chern-Simons-matter theory
• The Holographic Dual of AdS3 x S3 x S3 x S1
• Bootstrapping the half-BPS line defect
• Supersymmetry of Rotating Branes
• T-Duality in the Green-Schwarz Formalism, and the Massless/Massive IIA Duality Map
• A holographic dual for string theory on ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$
• Integrability, spin-chains and the AdS3/CFT2 correspondence
• String Theory on AdS_3 x S^3 x S^3 x S^1
• Non-supersymmetric Wilson loop in N=4 SYM and defect 1d CFT
• Roadmap on Wilson loops in 3d Chern-Simons-matter theories
• Correlators on non-supersymmetric Wilson line in N=4 SYM and AdS${}_2$/CFT${}_1$
• Analytic bootstrap and Witten diagrams for the ABJM Wilson line as defect CFT${}_1$
• Construction and classification of novel BPS Wilson loops in quiver Chern-Simons-matter theories
• Novel BPS Wilson loops in three-dimensional quiver Chern-Simons-matter theories
• Supersymmetric Mixed Boundary Conditions in AdS${}_2$ and DCFT${}_1$ Marginal Deformations
• BPS Wilson loops in $\mathcal{N}\ge 2$ superconformal Chern-Simons-matter theories
• Classifying Superconformal Defects in Diverse Dimensions Part I: Superconformal Lines
• New BPS Wilson loops in $\mathcal{N}\text{= 4}$ circular quiver Chern-Simons-matter theories
• Notes on hyperloops in N=4 Chern-Simons-matter theories
• BPS Wilson loops and quiver varieties
• The topological line of ABJ(M) theory
• Quantum corrections to minimal surfaces with mixed three-form flux

Cited by in corpus (4)

• Conformal and non-conformal hyperloop deformations of the 1/2 BPS circle
• Interpolating Boundary Conditions on $Ad{S}_2$
• Universal sectors in superconformal defects
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