The non-abelian tensor multiplet in loop space

Premature loss of teeth in children leads to space loss and affects arch integrity. The band and loop space maintainer is used in majority of patients requiring single tooth space maintenance in both primary and mixed dentitions. It preserves the proximal dimensions, but it is nonfunctional. This paper describes a method to modify the conventional band and loop space maintainer into a functional one and reports its clinical application and follow-up in five children.

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The 3d $$ \mathcal{N} $$ = 6 bootstrap: from higher spins to strings to membranes

Journal of High Energy Physics ◽

10.1007/jhep05(2021)083 ◽

2021 ◽

Vol 2021 (5) ◽

Author(s):

Damon J. Binder ◽

Shai M. Chester ◽

Max Jerdee ◽

Silviu S. Pufu

Keyword(s):

Block Decomposition ◽

Point Function ◽

Present Evidence ◽

Bootstrap Techniques ◽

Wide Range ◽

Higher Spin ◽

Tensor Multiplet ◽

Higher Spins ◽

M Theory ◽

Chern Simons

Abstract We study the space of 3d $$ \mathcal{N} $$ N = 6 SCFTs by combining numerical bootstrap techniques with exact results derived using supersymmetric localization. First we derive the superconformal block decomposition of the four-point function of the stress tensor multiplet superconformal primary. We then use supersymmetric localization results for the $$ \mathcal{N} $$ N = 6 U(N)k × U(N + M)−k Chern-Simons-matter theories to determine two protected OPE coefficients for many values of N, M, k. These two exact inputs are combined with the numerical bootstrap to compute precise rigorous islands for a wide range of N, k at M = 0, so that we can non-perturbatively interpolate between SCFTs with M-theory duals at small k and string theory duals at large k. We also present evidence that the localization results for the U(1)2M × U (1 + M)−2M theory, which has a vector-like large-M limit dual to higher spin theory, saturates the bootstrap bounds for certain protected CFT data. The extremal functional allows us to then conjecturally reconstruct low-lying CFT data for this theory.

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6d (2, 0) and M-theory at 1-loop

Journal of High Energy Physics ◽

10.1007/jhep01(2021)133 ◽

2021 ◽

Vol 2021 (1) ◽

Author(s):

Luis F. Alday ◽

Shai M. Chester ◽

Himanshu Raj

Keyword(s):

Flat Space ◽

Lagrangian Description ◽

Loop Correction ◽

Higher Derivative ◽

Weakly Coupled ◽

S Matrix ◽

Space Limit ◽

Tensor Multiplet ◽

First Time ◽

M Theory

Abstract We study the stress tensor multiplet four-point function in the 6d maximally supersymmetric (2, 0) AN−1 and DN theories, which have no Lagrangian description, but in the large N limit are holographically dual to weakly coupled M-theory on AdS7× S4 and AdS7× S4/ℤ2, respectively. We use the analytic bootstrap to compute the 1-loop correction to this holographic correlator coming from Witten diagrams with supergravity R and the first higher derivative correction R4 vertices, which is the first 1-loop correction computed for a non-Lagrangian theory. We then take the flat space limit and find precise agreement with the corresponding terms in the 11d M-theory S-matrix, some of which we compute for the first time using two-particle unitarity cuts.

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Defect CFT techniques in the 6d $$ \mathcal{N} $$ = (2, 0) theory

Journal of High Energy Physics ◽

10.1007/jhep03(2021)261 ◽

2021 ◽

Vol 2021 (3) ◽

Author(s):

Nadav Drukker ◽

Malte Probst ◽

Maxime Trépanier

Keyword(s):

Stress Tensor ◽

Unitary Representations ◽

Point Function ◽

Displacement Operator ◽

Expectation Value ◽

Operator Expansion ◽

Bulk Stress ◽

Defect Operator ◽

Tensor Multiplet

Abstract Surface operators are among the most important observables of the 6d $$ \mathcal{N} $$ N = (2, 0) theory. Here we apply the tools of defect CFT to study local operator insertions into the 1/2-BPS plane. We first relate the 2-point function of the displacement operator to the expectation value of the bulk stress tensor and translate this relation into a constraint on the anomaly coefficients associated with the defect. Secondly, we study the defect operator expansion of the stress tensor multiplet and identify several new operators of the defect CFT. Technical results derived along the way include the explicit supersymmetry tranformations of the stress tensor multiplet and the classification of unitary representations of the superconformal algebra preserved by the defect.

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New modular invariants in $$ \mathcal{N} $$ = 4 Super-Yang-Mills theory

Journal of High Energy Physics ◽

10.1007/jhep04(2021)212 ◽

2021 ◽

Vol 2021 (4) ◽

Author(s):

Shai M. Chester ◽

Michael B. Green ◽

Silviu S. Pufu ◽

Yifan Wang ◽

Congkao Wen

Keyword(s):

Eisenstein Series ◽

Mass Parameter ◽

Flat Space ◽

Superstring Theory ◽

Modular Invariant ◽

Yang Mills ◽

Laplace Eigenvalue ◽

Modular Invariants ◽

Tensor Multiplet ◽

Super Yang Mills Theory

Abstract We study modular invariants arising in the four-point functions of the stress tensor multiplet operators of the $$ \mathcal{N} $$ N = 4 SU(N) super-Yang-Mills theory, in the limit where N is taken to be large while the complexified Yang-Mills coupling τ is held fixed. The specific four-point functions we consider are integrated correlators obtained by taking various combinations of four derivatives of the squashed sphere partition function of the $$ \mathcal{N} $$ N = 2∗ theory with respect to the squashing parameter b and mass parameter m, evaluated at the values b = 1 and m = 0 that correspond to the $$ \mathcal{N} $$ N = 4 theory on a round sphere. At each order in the 1/N expansion, these fourth derivatives are modular invariant functions of (τ,$$ \overline{\tau} $$ τ ¯ ). We present evidence that at half-integer orders in 1/N , these modular invariants are linear combinations of non-holomorphic Eisenstein series, while at integer orders in 1/N, they are certain “generalized Eisenstein series” which satisfy inhomogeneous Laplace eigenvalue equations on the hyperbolic plane. These results reproduce known features of the low-energy expansion of the four-graviton amplitude in type IIB superstring theory in ten-dimensional flat space and have interesting implications for the structure of the analogous expansion in AdS5× S5.

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String defects, supersymmetry and the Swampland

Journal of High Energy Physics ◽

10.1007/jhep11(2020)125 ◽

2020 ◽

Vol 2020 (11) ◽

Author(s):

Carlo Angelantonj ◽

Quentin Bonnefoy ◽

Cezar Condeescu ◽

Emilian Dudas

Keyword(s):

Supersymmetry Breaking ◽

Dimensional Theory ◽

Consistency Conditions ◽

Tensor Multiplet ◽

Microscopic Origin

Abstract Recently, Kim, Shiu and Vafa proposed general consistency conditions for six dimensional supergravity theories with minimal supersymmetry coming from couplings to strings. We test them in explicit perturbative orientifold models in order to unravel the microscopic origin of these constraints. Based on the perturbative data, we conjecture the existence of null charges Q∙Q = 0 for any six-dimensional theory with at least one tensor multiplet, coupling to string defects of charge Q. We then include the new constraint to exclude some six-dimensional supersymmetric anomaly-free examples that have currently no string or F-theory realization. We also investigate the constraints from the couplings to string defects in case where supersymmetry is broken in tachyon free vacua, containing non-BPS configurations of brane supersymmetry breaking type, where the breaking is localized on antibranes. In this case, some conditions have naturally to be changed or relaxed whenever the string defects experience supersymmetry breaking, whereas the constraints are still valid if they are geometrically separated from the supersymmetry breaking source.

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Notes on gravity multiplet correlators in AdS3 × S3

Journal of High Energy Physics ◽

10.1007/jhep07(2021)125 ◽

2021 ◽

Vol 2021 (7) ◽

Author(s):

Congkao Wen ◽

Shun-Qing Zhang

Keyword(s):

Recursion Relation ◽

Conformal Symmetry ◽

Flat Space ◽

The Other ◽

Tree Level ◽

Space Limit ◽

Compact Expression ◽

Tensor Multiplet ◽

R Symmetry

Abstract We present a compact formula in Mellin space for the four-point tree-level holographic correlators of chiral primary operators of arbitrary conformal weights in (2, 0) supergravity on AdS3× S3, with two operators in tensor multiplet and the other two in gravity multiplet. This is achieved by solving the recursion relation arising from a hidden six-dimensional conformal symmetry. We note the compact expression is obtained after carefully analysing the analytic structures of the correlators. Various limits of the correlators are studied, including the maximally R-symmetry violating limit and flat-space limit.

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