From the classical $$ \mathrm{SO}\left(\mathcal{N}=8\right) $$ extended superconformal algebra between the lowest $$ \mathcal{N}=8 $$ multiplet in two dimensions obtained by Ademollo et al. (1976), we generalize it for the arbitrary $$ \mathcal{N}=8 $$ multiplet with manifest SU(8) symmetry containing the bosonic $\textit{w}$ algebra. By modifying this $$ \mathcal{N}=8 $$ supersymmetric $\textit{w}$ algebra in two dimensions, we propose a consistent celestial soft current algebra between the graviton, the gravitinos, the graviphotons, the graviphotinos, and the scalars in the $$ \mathcal{N}=8 $$ supergravity theory with SO(8) (or SU(8)) global symmetry in four dimensions initiated by de Wit and Freedman (at Stony Brook in 1977). The twenty five couplings in this celestial algebra can be written in terms of eight arbitrary couplings via the Jacobi identity.

South Korea

Changhyun Ahn

Man Kim

Toward A celestial soft symmetry algebra in the $$ \mathcal{N}=8 $$ supergravity

We construct and study the supersymmetry properties of the weighted projective spaces 𝕎ℂℙ and 𝕎ℂℙ . These are topologically ℂℙ with $\textit{n}$ + 1 orbifold singularities and as such are higher dimensional analogues of the “spindle” or 𝕎ℂℙ . We use these to construct interesting supersymmetric orbifolds of canonical near horizon geometries of relevance to the AdS/CFT correspondence. Interestingly, for certain tunings of their integer weights, and unlike the spindle, 𝕎ℂℙ and 𝕎ℂℙ are compatible with supersymmetry beyond the realm of gauged supergravity. This allows one to construct interesting supersymmetric solutions in type II supergravity such as AdS × 𝕎ℂℙ × S and AdS × 𝕎ℂℙ via duality, in which 𝕎ℂℙ appears without a connection fibred over it. We also leverage our results to construct a supersymmetric AdS solution containing a topological 𝕋 space with 4 orbifold singularities.

Spain

United Kingdom

Andrea Conti

Niall Macpherson

Supersymmetric 𝕎ℂℙ $\textit{n}$ , AdS near horizons and orbifolds

We consider planar $$ \mathcal{N} $$ = 4 super Yang-Mills at finite temperature with chemical potentials that couple either to the $\textit{R}$-charges or the spins of the operators. We find expressions for the Hagedorn temperatures at both zero coupling by explicitly counting states, and at strong coupling using the string theory dual. We then apply the quantum spectral curve (QSC) to this problem, which adds additional twists to the $\textit{Q}$-functions. For a single chemical potential $\textit{μ}$ coupled to one of the $\textit{R}$-charges, we find the analytic weak-coupling Hagedorn temperature to one-loop order for any value of $\textit{μ}$, and to two-loop order for $\textit{μ}$ = 1/2. We then solve the QSC numerically, showing that at strong coupling there is good agreement with the string theory prediction to order 1/$\textit{λ}$ . This provides further evidence for a recent conjecture of Harmark for the form of the world-sheet zero-point shift. We also use the QSC to find the analytic one-loop correction to the Hagedorn temperature with non-zero chemical potentials coupled to the spins.

Sweden

Simon Ekhammar

United States

Joseph Minahan

Charles Thull

Twisting the Hagedorn temperature in planar $$ \mathcal{N} $$ = 4 super Yang-Mills

We present model calculations for the in-medium suppression of the Υ(1 <italic>S</italic>, 2 <italic>S</italic>, 3 <italic>S</italic>) states in <math altimg='si1.svg'><mrow><msqrt><msub><mi>s</mi><mrow><mi>N</mi><mi>N</mi></mrow></msub></msqrt><mo linebreak='goodbreak'>=</mo><mn>5.02</mn></mrow></math> TeV Pb-Pb collisions at the Large Hadron Collider in comparison with recent CMS data for all three spin-triplet <italic>s</italic>-wave states. The model parameters initial central temperature, and formation times for the &#933;( <italic>nS</italic>) states are determined in simultaneous <italic>&#967;</italic> <sup>2</sup> minimizations with respect to the data, such that the sequential centrality- and transverse-momentum-dependent suppression of the observed states is reproduced.

Germany

J. Majonica

G. Wolschin

In-medium Υ(1 <italic>S</italic>, 2 <italic>S</italic>, 3 <italic>S</italic>) suppression in Pb-Pb collisions at <math altimg='si1.svg'><mrow><msqrt><msub><mi>s</mi><mrow><mi>N</mi><mi>N</mi></mrow></msub></msqrt><mo linebreak='goodbreak'>=</mo><mn>5.02</mn></mrow></math> TeV

We compute the contour integral for the partition function of an $$ \mathcal{N} $$ = 2 SU(2) topologically twisted theory on $$ {\mathbbm{CP}}^2 $$ , dimensionally reducing from an $$ \mathcal{N} $$ = 1 theory on $\textit{S}$ . Earlier works presented the partition function as a sum over three equivariant fluxes, one for each toric divisor of $$ {\mathbbm{CP}}^2 $$ . Our result depends only on a single physical flux, assigned to the non-trivial two-cycle of the manifold. The reduced summation over fluxes is compensated by a contour of integration, arising from a different solution of the BPS equations, which captures more poles in each topological sector. As our observable involves a position-dependent Yang-Mills coupling, we compute new equivariant invariants of $$ {\mathbbm{CP}}^2 $$ , which reduce to Donaldson invariants in the non-equivariant limit. Stability conditions of gauge bundles over $$ {\mathbbm{CP}}^2 $$ appear intrinsically via the dimensional reduction.

Italy

Lorenzo Ruggeri

Contour integral for the partition function of $$ \mathcal{N} $$ = 2 topologically twisted on $$ {\mathbbm{CP}}^2 $$ and physical fluxes

<p>The effective number of neutrino species, <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>N</mi><mi>eff</mi></msub></math>, serves as a key fitting parameter extensively employed in cosmological studies. In this work, we point out a fundamental inconsistency in the conventional treatment of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>N</mi><mi>eff</mi></msub></math> in big bang nucleosynthesis (BBN), particularly regarding its applicability to new physics scenarios where <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="normal">Δ</mi><msub><mi>N</mi><mi>eff</mi></msub></math>, the deviation of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>N</mi><mi>eff</mi></msub></math> from the standard BBN prediction, is negative. To ensure consistent interpretation, it is imperative to either restrict the allowed range of <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>N</mi><mi>eff</mi></msub></math> or systematically adjust neutrino-induced reaction rates based on physically motivated assumptions. As a concrete example, we consider a simple scenario in which a negative <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="normal">Δ</mi><msub><mi>N</mi><mi>eff</mi></msub></math> arises from entropy injection into the electromagnetic sector due to the decay of long-lived particles after neutrino decoupling. This process dilutes the neutrino density and suppresses the rate of neutrino-driven neutron-proton conversion. Under this assumption, we demonstrate that the resulting BBN constraints on <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>N</mi><mi>eff</mi></msub></math> deviate significantly from those obtained by the conventional, but unphysical, extrapolation of dark radiation scenarios into the <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><mi mathvariant="normal">Δ</mi><msub><mi>N</mi><mi>eff</mi></msub><mo>&lt;</mo><mn>0</mn></math> regime.</p>

Sougata Ganguly

Tae Hyun Jung

Seokhoon Yun

Consistent <math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><msub><mi>N</mi><mi>eff</mi></msub></math> fitting in big bang nucleosynthesis analysis

We investigate the processes $\textit{e}$ $\textit{e}$ → $\textit{η}$ + $\textit{γ}$ and $\textit{e}$ $\textit{e}$ → $\textit{χ}$ + $\textit{γ}$ at B factories within the NRQCD factorization framework, computing the corresponding helicity amplitudes through $$ \mathcal{O}\left({\alpha}_s^2\right) $$ . The short-distance coefficients are obtained as series expansions in $$ r=\frac{4{m}_c^2}{s} $$ around $\textit{r}$ = 0, 1/3, 2/3, 1, using the method of differential equations. By combining the expansions from all four points, we construct composite asymptotic expressions that reproduce the exact results accurately over the full range 0 ≤ $\textit{r}$ ≤ 1, with relative errors below 0.1% over most of the domain and remaining under 1% elsewhere. Analytic expressions for the leading and next-to-leading logarithmic terms are extracted in the limit $\textit{r}$ → 0. Using these results, we compute the unpolarized cross sections and observe that the perturbative corrections are small for $\textit{χ}$ + $\textit{γ}$, moderate for $\textit{χ}$ + $\textit{γ}$, and substantial for $\textit{η}$ + $\textit{γ}$ and $\textit{χ}$ + $\textit{γ}$. Theoretical prediction for $\textit{χ}$ + $\textit{γ}$ is consistent with the Belle measurement within 2$\textit{σ}$, showing good agreement between theory and experiment. We also predict the angular distribution parameters $$ {\alpha}_{\theta}^H $$ , which are insensitive to NRQCD matrix elements and exhibit small theoretical uncertainties. These parameters further display good stability across different perturbative orders. With the high luminosity anticipated at Belle 2, future experimental measurements will thus provide a clear test of NRQCD factorization.

China

Cong Li

Wen-Long Sang

Hong-Fei Zhang

The next-to-next-to-leading-order QCD corrections to $\textit{e}$ + $\textit{e}$ $\textit{−}$ $\textit{→ η}$ $\textit{c}$ $\textit{/χ}$ $\textit{cJ}$ + $\textit{γ}$ at B factories

Based on a sample of (10087 ± 44) × 10 $\textit{J}$/$\textit{ψ}$ events collected at the center-of-mass energy $$ \sqrt{s}=3.0969 $$ GeV with the BESIII detector, we search for the charmonium rare weak decay $$ J/\psi \to {\overline{D}}^0{\overline{K}}^{\ast 0}+\textrm{c}.\textrm{c}. $$ . No significant signal is observed, and the upper limit on its decay branching fraction at the 90% confidence level is set as 1.4 × 10 , improving the sensitivity of the previous best limit by an order of magnitude.

M. Ablikim

Russia

M. Achasov

P. Adlarson

X. Ai

R. Aliberti

A. Amoroso

Q. An

Y. Bai

O. Bakina

Y. Ban

H.R. Bao

Poland

V. Batozskaya

Mongolia

K. Begzsuren

N. Berger

M. Berlowski

M. Bertani

D. Bettoni

F. Bianchi

E. Bianco

A. Bortone

I. Boyko

R. Briere

A. Brueggemann

H. Cai

M. Cai

X. Cai

A. Calcaterra

G. Cao

N. Cao

Türkiye

S. Cetin

X. Chai

J. Chang

G. Che

Y. Che

C. Chen

Chao Chen

G. Chen

H. Chen

M. Chen

S. Chen

T. Chen

X. Chen

Y. Chen

Z. Chen

J. Cheng

S. Choi

X. Chu

G. Cibinetto

F. Cossio

J. Cottee-Meldrum

J. Cui

H. Dai

J. Dai

X. Dai

A. Dbeyssi

R. Boer

D. Dedovich

C. Deng

Z. Deng

A. Denig

I. Denysenko

M. Destefanis

F. Mori

B. Ding

X. Ding

Y. Ding

J. Dong

L. Dong

M. Dong

X. Dong

M. Du

S. Du

Y. Duan

Z. Duan

P. Egorov

G. Fan

J. Fan

Y. Fan

J. Fang

S. Fang

W. Fang

Y. Fang

L. Fava

F. Feldbauer

G. Felici

C. Feng

J. Feng

L. Feng

Search for the charmonium weak decay $$ J/\psi \to {\overline{D}}^0{\overline{K}}^{\ast 0}+\textrm{c}.\textrm{c}. $$

$\textit{N}$-naturalness is a novel solution to the electroweak hierarchy problem which posits $\textit{N}$ copies of the Standard Model with varying Higgs mass-squared parameters. Reheating proceeds through a “reheaton” particle that deposits most of its energy density into the Standard Model and small but potentially measurable fractions into the other copies. Typically the sector with the lightest negative Higgs mass-squared is identified as the Standard Model. We demonstrate that $\textit{N}$-naturalness admits a broader class of realizations in which the Standard Model is identified with a heavier sector, rather than being restricted to the lightest. This is made possible by resonant mixing between the reheaton and the Higgs, which generically causes one sector to be preferentially reheated and to acquire the largest share of the energy density, singling it out as the Standard Model. We demonstrate that this scenario is consistent with current cosmological bounds on new relativistic degrees of freedom and overclosure constraints from heavy stable relics, while future cosmic microwave background and high redshift surveys will probe significant portions of the remaining parameter space. Furthermore, we highlight the possibility of a novel stochastic gravitational wave spectrum from the many cosmological first order QCD phase transitions occurring across the other sectors.

Brian Batell

Akshay Ghalsasi

Wenjie Huang

Matthew Low

$\textit{i}$-ncidental $\textit{N}$-naturalness

We study integrated correlation functions of half-BPS operators in SU($\textit{N}$) $$ \mathcal{N}=4 $$ supersymmetric Yang-Mills theory (SYM) involving two superconformal primary operators in the stress-tensor multiplet and two identical maximal-trace operators of arbitrary $\textit{R}$-charge $\textit{p}$. Thanks to $$ \mathcal{N}=4 $$ SYM electro-magnetic duality these integrated correlators have recently been computed as exact functions of $\textit{N}$, $\textit{p}$, and of the Yang-Mills complexified coupling $\textit{τ}$. Using a combination of tools from SL(2$\textit{,}$ ℤ) spectral theory and resurgence analysis, we study the landscape of large-$\textit{N}$ and/or large-charge expansions for these correlators. In particular, we find novel non-perturbative effects in the limit where $\textit{N}$ → ∞ with $\textit{p/N}$ fixed. From a holographic point of view this double-scaling regime is deeply connected with a second family of correlators which we analyse. Using the results for the maximal-trace operators, we derive an exact expression for a new integrated correlator involving two coherent-state operators, defined via an exponential generating function of multi-graviton states. At large-$\textit{N}$ this correlator admits a holographic dual description in terms of a back-reacted geometry known as the AdS bubble. First, we show that the leading supergravity contribution to the integrated correlator agrees with a direct explicit integration of the correlator itself. Secondly, we derive predictions for the integrated version of the Virasoro-Shapiro amplitude evaluated on the AdS bubble background. Lastly, we demonstrate that the large-$\textit{N}$ non-perturbative contributions to this integrated correlator emerge from giant-magnon configurations in the dual AdS bubble

Francesco Aprile

Daniele Dorigoni

Rudolfs Treilis

Dynamics of heavy operators in $$ \mathcal{N}=4 $$ SYM: integrated correlators and AdS bubbles