Exact probes of orientifolds

Abstract

We compute the exact vacuum expectation value of circular Wilson loops for Euclidean $\mathcal{N}=4$ super Yang-Mills with $G=SO(N),Sp(N)$, in the fundamental and spinor representations. These field theories are dual to type IIB string theory compactified on $Ad{S}_5\times \mathbb{R}{\mathbb{P}}^5$ plus certain choices of discrete torsion, and we use our results to probe this holographic duality. We first revisit the LLM-type geometries having $Ad{S}_5\times \mathbb{R}{\mathbb{P}}^5$ as ground state. Our results clarify and refine the identification of these LLM-type geometries as bubbling geometries arising from fermions on a half harmonic oscillator. We furthermore identify the presence of discrete torsion with the one-fermion Wigner distribution becoming negative at the origin of phase space. We then turn to the string world-sheet interpretation of our results and argue that for the quantities considered they imply two features: first, the contribution coming from world-sheets with a single crosscap is closely related to the contribution coming from orientable world-sheets, and second, world-sheets with two crosscaps don't contribute to these quantities.

arXiv comment28 pages. v2: Added references

References in corpus (46)

• 2D Gravity and Random Matrices
• Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
• Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
• Bubbling AdS space and 1/2 BPS geometries
• Baryons And Branes In Anti de Sitter Space
• Wilson Loops in N=4 Supersymmetric Yang--Mills Theory
• An Exact Prediction of N=4 SUSYM Theory for String Theory
• Reading between the lines of four-dimensional gauge theories
• The Exact Superconformal R-Symmetry Extremizes Z
• From weak to strong coupling in ABJM theory
• A Perturbative Window into Non-Perturbative Physics
• A toy model for the AdS/CFT correspondence
• All-genus calculation of Wilson loops using D-branes
• An exact formula for the radiation of a moving quark in N=4 super Yang Mills
• Exact results for the entanglement entropy and the energy radiated by a quark
• Search for the decay $B_s^0\to {\overline{D}}^0{f}_0(980)$
• AdS/CFT Correspondence And Topological Field Theory
• Les Houches lectures on matrix models and topological strings
• The Library of Babel: On the origin of gravitational thermodynamics
• Anti-de Sitter Space and the Center of the Gauge Group
• Exact results for static and radiative fields of a quark in N=4 super Yang-Mills
• Fermions from Half-BPS Supergravity
• Minisuperspace Quantization of "Bubbling AdS" and Free Fermion Droplets
• SO and Sp Chern-Simons at Large N
• Wilson Loops in N=2 Super-Yang-Mills from Matrix Model
• Exact results for Wilson loops in arbitrary representations
• Geometry Quantization from Supergravity: the case of "Bubbling AdS"
• Topological Open String Amplitudes On Orientifolds
• Exact Results and Holography of Wilson Loops in N=2 Superconformal (Quiver) Gauge Theories
• Spectral curves, emergent geometry, and bubbling solutions for Wilson loops
• Unoriented Strings, Loop Equations, and N=1 Superpotentials from Matrix Models
• Quantum 't Hooft operators and S-duality in N=4 super Yang-Mills
• Perturbative Computation of Glueball Superpotentials for SO(N) and USp(N)
• Operator product expansion of higher rank Wilson loops from D-branes and matrix models
• SO(N) Superpotential, Seiberg-Witten Curves and Loop Equations
• Complex Matrix Model and Fermion Phase Space for Bubbling AdS Geometries
• String theory and the Kauffman polynomial
• Bubbling Orientifolds
• Operators, Correlators and Free Fermions for SO(N) and Sp(N)
• A basis for large operators in N=4 SYM with orthogonal gauge group
• Two-dimensional Yang-Mills Theories Are String Theories
• Comment on Two Dimensional O(N) and Sp(N) Yang Mills Theories as String Theories
• Exact momentum fluctuations of an accelerated quark in N=4 super Yang-Mills
• Counting Higher Genus Curves with Crosscaps in Calabi-Yau Orientifolds
• Energy loss by radiation to all orders in 1/N
• Large rank Wilson loops in N=2 superconformal QCD at strong coupling

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• Probing N=2 superconformal field theories with localization
• Modular invariant holographic correlators for $\mathcal{N}=4$ SYM with general gauge group
• The planar limit of $\mathcal{N}=2$ superconformal field theories
• Wilson loops in terms of color invariants
• Exact strong coupling results in $\mathcal{N}$=2 $Sp(2N)$ superconformal gauge theory from localization
• Eigenvalue instantons in the spectral form factor of random matrix model
• Cusped Wilson lines in symmetric representations
• Orbifold ETW brane and half-indices
• Novel charges in CFT's
• Interior analysis, stretched technique and bubbling geometries
• Wilson loops in $\mathcal{N}=4$ $SO(N)$ SYM and D-Branes in $Ad{S}_5\times {\mathbb{RP}}^5$
• Localization and wall-crossing of giant graviton expansions in AdS${}_5$
• BPS Wilson loop in $\mathcal{N}=2$ superconformal $SU(N)$ "orientifold" gauge theory and weak-strong coupling interpolation
• $\mathcal{N}=4$ line defect correlators of type BCD
• Holographic Operator Product Expansion of Loop Operators in $\mathcal{N}=4$ $SO(N)$ Super Yang-Mills Theory
• 't Hooft expansion of $SO(N)$ and $Sp(N)$ $\mathcal{N}=4$ SYM revisited
• Strong coupling expansion of free energy and BPS Wilson loop in $\mathcal{N}=2$ superconformal models with fundamental hypermultiplets