{"arxiv_id":"2111.08041","incoming":{"papers":24,"sentences":34,"groups":[{"kind":"supports_this_paper","label":"Cites it as support","papers":1,"sentences":1,"quotes":[{"arxiv_id":"2210.02470","title":"Dipole condensates in tilted Bose-Hubbard chains","url":"/paper/2210.02470","section":"Finite size effects and the Bose Einstein Insulator","sentence":"Despite being a continuous symmetry, and despite being in one dimension, dipole symmetry is actually spontaneously broken in the BEI at $T=0$ [ref] : indeed, correlations of the dipole order parameter $e^i_xϕ$ go as C_e^i_x ϕ(0,x) ∼e^-∫_q,øq^2 1-cos(qx)/ø^2 K_τ+q^4 K_D x ∞ 1,as the integral in the exponential is IR-finite (c.f. the power law behavior in the DC phase [ref]), implying a nonzero expectation value $|d_i | ≠0$.","intent_p":0.98,"contests_p":null}]},{"kind":"background","label":"Cites it as background","papers":12,"sentences":14,"quotes":[{"arxiv_id":"2201.10589","title":"Global Dipole Symmetry, Compact Lifshitz Theory, Tensor Gauge Theory, and Fractons","url":"/paper/2201.10589","section":"Introduction","sentence":"This global symmetry and the current conservation have been studied in [ref] .","intent_p":0.8,"contests_p":null},{"arxiv_id":"2304.09886","title":"Subsystem Non-Invertible Symmetry Operators and Defects","url":"/paper/2304.09886","section":"Subsystem non-invertible symmetry","sentence":"So the mobile subspace is the $t-x$ plane, and the defect with respect to the $t-x$ plane is of codimension one.] [ref] .[There are also earlier works on subsystem symmetry from algebraic duality approach [ref] .] Here and in Tab. [ref] we only present a highly incomplete list of references.[Another line of development of unconventional symmetry, motivated by commutant algebra in the study of quantum many body scar, was explored in [ref] .","intent_p":0.8,"contests_p":null},{"arxiv_id":"2410.10036","title":"Web of 4D Dualities, Supersymmetric Partition functions and SymTFT","url":"/paper/2410.10036","section":"Introduction and Conclusion","sentence":"They encompass the higher-form or higher-group symmetries [ref] , non-invertible symmetries [ref] , subsystem symmetries [ref] , etc.","intent_p":0.99,"contests_p":null},{"arxiv_id":"2203.13274","title":"Evolution of Dynamical Signature in the X-cube Fracton Topological Order","url":"/paper/2203.13274","section":"Introduction","sentence":"to high energy physics [ref] .","intent_p":0.97,"contests_p":null},{"arxiv_id":"2305.00941","title":"Many-body physics of spontaneously broken higher-rank symmetry: from fractonic superfluids to dipolar Hubbard model","url":"/paper/2305.00941","section":"Introduction","sentence":"At present, it remains topics of active exploration on quantum systems with higher moment conservation and higher-rank symmetry studied by the community from many different strategies ranging from condensed matter to high energy, see, e.g., [ref] and other references appearing in the maintext of this paper.","intent_p":0.92,"contests_p":null}]}],"unlabelled_sentences":19},"outgoing":{"papers":4,"sentences":8,"groups":[{"kind":"background","label":"Cites as background","papers":3,"sentences":5,"quotes":[{"arxiv_id":"2201.04132","title":"The dipolar Bose-Hubbard model","url":"/paper/2201.04132","section":"Explicit lattice example","sentence":"A detailed discussion of the phase diagram and phenomenology of this model is given in [ref] ; in the following we will simply discuss the symmetry breaking patterns realized in various different limits.","intent_p":0.93,"contests_p":null},{"arxiv_id":"1806.01855","title":"Generalized $U(1)$ Gauge Field Theories and Fractal Dynamics","url":"/paper/1806.01855","section":"Introduction","sentence":"They are known to arise in `fracton' phases of quantum matter [ref] , the key dynamical properties of which are known to descend from conservation laws on multipole moments of charge [ref] .","intent_p":0.85,"contests_p":null},{"arxiv_id":"1802.07747","title":"Higher-form symmetries and spontaneous symmetry breaking","url":"/paper/1802.07747","section":"Discussion","sentence":"Another setting for generalized Mermin-Wagner-type arguments is higher form global symmetries [ref] .","intent_p":0.89,"contests_p":null}]}],"unlabelled_sentences":3},"claims":[],"thresholds":{"intent_p":0.8,"supports_p":0.95,"contests_p":0.7},"method":"Citing sentences come from each paper's LaTeX source; every \\cite marks the sentence and the works it cites. Pith's classifier typed each sentence. A label is shown at intent probability 0.8 or more (0.95 for support), a contest at 0.7 or more. Measured accuracy against two blind model families is at https://pith.science/accuracy. The quoted sentences are the citing authors' own.","held_up":null,"_links":{"html":"https://pith.science/paper/2111.08041"}}