The JUNO experiment locates in Jinji town, Kaiping city, Jiangmen city, Guangdong province. The geographic location is east longitude 112 • 31'05' and North latitude 22 • 07'05'. The experimental site is 43 km to the southwest of the Kaiping city, a county-level city in the prefecture-level city Jiangmen in Guangdong province. There are five big cities, Guangzhou, Hong Kong, Macau, Shenzhen, and Zhuhai, all in ∼200 km drive distance, as shown in figure 3.

This paper constructs an explicit homogeneous cellular basis for the cyclotomic Khovanov-Lauda-Rouquier algebras of type A.Specht modules of Brundan, Kleshchev and Wang to give a graded basis of H Λ n and then in section 6 we construct the dual graded basis and use this to show that the blocks of H Λ n are graded symmetric algebras. As an application we construct an isomorphism between the graded Specht modules and the dual of the dual graded Specht modules, which are defined using our second graded cellular basis of H Λ n . In an appendix, which was actually the starting point for this work, we use a different approach to explicitly describe the homogeneous elements which span the one dimensional two-sided ideals of H Λ n . Graded cellular algebrasThis section defines graded cellular algebras and develops their representation theory, extending Graham and Lehrer's [20] theory of cellular algebras. Most of the arguments of Graham and Lehrer apply with minimal change in the graded setting. In particular, we obtain graded cell modules, graded simple and projective modules and a graded analogue of Brauer-Humphreys reciprocity. §2.1. Graded algebras Let R be a commutative integral domain with 1. In this paper a graded R-module is an R-module M which has a direct sum decompositionthen m is homogeneous of degree d and we set deg m = d. If M is a graded R-module let M be the ungraded R-module obtained by forgetting the grading on M . If M is a graded R-module and s ∈ Z let M s be the graded R-module obtained by shifting the grading on M up by s; that is, M s d = M d−s , for d ∈ Z.A graded R-algebra is a unital associative R-algebra A = d∈Z A d which is a graded R-module such that A d A e ⊆ A d+e , for all d, e ∈ Z. It follows that 1 ∈ A 0 and that A 0 is a graded subalgebra of A. A graded (right) A-module is a graded R-module M such that M is an A-module and M d A e ⊆ M d+e , for all d, e ∈ Z. Graded submodules, graded left A-modules and so on are all defined in the obvious way. Let A-Mod be the category of all finitely generated graded A-modules together with degree preserving homomorphisms; that is,for all M, N ∈ A-Mod. The elements of Hom A (M, N ) are homogeneous maps of degree 0. More generally, if f ∈ Hom A (M d , N ) ∼ = Hom A (M, N −d ) then f is a homogeneous map from M to N of degree d and we write deg f = d. Set Hom Z A (M, N ) = d∈Z Hom A (M d , N ) ∼ = d∈Z Hom A (M, N −d ) for M, N ∈ A-Mod. §2.2. Graded cellular algebras Following Graham and Lehrer [20] we now define graded cellular algebras.

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SNO+ is a large liquid scintillator-based experiment located 2 km underground at SNOLAB, Sudbury, Canada. It reuses the Sudbury Neutrino Observatory detector, consisting of a 12 m diameter acrylic vessel which will be filled with about 780 tonnes of ultra-pure liquid scintillator. Designed as a multipurpose neutrino experiment, the primary goal of SNO+ is a search for the neutrinoless double-beta decay (0νββ) of130Te. In Phase I, the detector will be loaded with 0.3% natural tellurium, corresponding to nearly 800 kg of130Te, with an expected effective Majorana neutrino mass sensitivity in the region of 55–133 meV, just above the inverted mass hierarchy. Recently, the possibility of deploying up to ten times more natural tellurium has been investigated, which would enable SNO+ to achieve sensitivity deep into the parameter space for the inverted neutrino mass hierarchy in the future. Additionally, SNO+ aims to measure reactor antineutrino oscillations, low energy solar neutrinos, and geoneutrinos, to be sensitive to supernova neutrinos, and to search for exotic physics. A first phase with the detector filled with water will begin soon, with the scintillator phase expected to start after a few months of water data taking. The0νββPhase I is foreseen for 2017.

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