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1. Flavor diagonal nucleon charges

   https://doi.org/10.22323/1.396.0558  

   Park, Sungwoo; Bhattacharya, Tanmoy; Gupta, Rajan; Lin, Huey-Wen; Mondal, Santanu; Yoon, Boram; Zhang, Rui (May 2022, The 38th International Symposium on Lattice Field Theory (LATTICE2021))
2. Supertranslation-invariant dressed Lorentz charges

   https://doi.org/10.1007/JHEP04(2022)069  

   Javadinezhad, Reza; Kol, Uri; Porrati, Massimo (April 2022, Journal of High Energy Physics)

   A bstract We present an explicit formula for Lorentz boosts and rotations that commute with BMS supertranslations in asymptotically flat spacetimes. Key to the construction is the use of infrared regularizations and of a unitary transformation that makes observables commute with the soft degrees of freedom. We explicitly verify that our charges satisfy the Lorentz algebra and we check that they are consistent with expectations by evaluating them on the supertranslated Minkowski space and on the boosted Kerr black hole. 

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3. BMS charges without supertranslation ambiguity

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   Chen, Po-Ning; Wang, Mu-Tao; Wang, Ye-Kai; Yau, Shing-Tung (May 2022, Communications in mathematical physics)
4. Conservation of asymptotic charges from past to future null infinity: Lorentz charges in general relativity

   https://doi.org/10.1007/JHEP08(2022)029  

   Prabhu, Kartik; Shehzad, Ibrahim (August 2022, Journal of High Energy Physics)

   A bstract We show that the asymptotic charges associated with Lorentz symmetries on past and future null infinity match in the limit to spatial infinity in a class of asymptotically-flat spacetimes. These are spacetimes that obey the Ashtekar-Hansen definition of asymptotic flatness at null and spatial infinity and satisfy an additional set of conditions which we lay out explicitly. Combined with earlier results on the matching of supertranslation charges, this shows that all Bondi-Metzner-Sachs (BMS) charges on past and future null infinity match in the limit to spatial infinity in this class of spacetimes, proving a relationship that was conjectured by Strominger. Assuming additional suitable conditions are satisfied at timelike infinities, this proves that the flux of all BMS charges is conserved in any classical gravitational scattering process in these spacetimes. 

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5. Update on flavor diagonal nucleon charges

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   Park, Sungwoo; Bhattacharya, Tanmoy; Gupta, Rajan; Lin, Huey-Wen; Mondal, Santanu; Yoon, Boram (April 2023, The 39th International Symposium on Lattice Field Theory (LATTICE2022))