The superselection-rule approach to ghost theories is extended to theories with a nonreal spectrum containing a complex-conjugate pair of poles on the physical sheet. The two excitations are labeled by their respective complex masses, $M$ and $M^*$, and the superselection sectors are labeled by $n$, the difference between the numbers of $M$ and $M^*$ excitations. The corresponding generalized ghost parity $Q$ assigns a phase $e^{in\alpha}$ to each sector. Under $Q$ superselection, nonvanishing norms occur only in the $n=0$ sector, and the physical state condition $Q^{2}|s\rangle=|s\rangle$ projects onto this sector. For a $MM^*$ pair carrying real total energy and momentum, we define a swap operation $R$. The $R$-eigenstates are entangled pairs, and an $R$ superselection rule ensures positive probabilities. We discuss how the optical theorem describes physical cuts through these entangled pairs.
We consider heavy-heavy-light-light (HHLL) holographic correlators in which the heavy states are coherent superpositions of $n$-particle operators. In the limit of large $n$ and large central charge, $c$, with $n/c$ held fixed, these HHLL correlators are described by a classical supergravity computation. When the multi...
We study tree-level completions of four-dimensional $\mathcal N=4$ Yang--Mills theory coupled to $\mathcal N=4$ supergravity. Six-point factorization and supersymmetry Ward identities, supplemented by a peculiar-parity restriction on scalar contact terms, impose nonlinear relations between the single- and double-trace...
Li Chiang, Yu-Tin Huang, He-Chen Weng· 0 citations
We extend the modularity-based approach of arXiv:2509.02226 for the holographic thermal propagator to the physically relevant case of nonzero energy $\omega$. Via the AGT correspondence, the problem is mapped to $\mathcal{N}=2$ $SU(2)$ gauge theory with $N_f=4$ hypermultiplets. Turning on $\omega$ activates all four hy...
B. Bajc, Mendrit Latifi, Katarina Trailović· 1 citation
We study the singlet sector of large-$N$, $O(N)$ vector model on $S^1_\beta\times S^2_r$ in presence of an angular potential $\Omega$. We compute the free energy of the model both at the free fixed point as well as the non-trivial fixed point. The model undergoes a phase transition when the temperature $T$ and angular...
We construct the complete spectrum of gravitational total-transmission modes (TTMs) of Kerr black holes and find four globally continuous families, $n_\infty=1,2,3,4$, each with two complex-conjugate frequency branches. Compared with the three-family classification of Cook and Lu, our global continuation resolves the m...
Changkai Chen, Xiao-Hua Zhang, Zhou-Jian Cao et al.· 0 citations
This is an extended version of arXiv:2511.22129. We develop a general construction of the superstrip algebra $\mathbf{sStr}_{\mathscr C}(\mathcal M)$, the fermionic counterpart of the strip algebra, for a gapped $(1+1)$-dimensional system with a fermionic superfusion category $\mathscr C$ and the vacuum structure descr...
Jin Chen, Z. Duan, Qiang Jia et al.· 0 citations
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