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BMS Supertranslations and Not So Soft Gravitons
Journal of High Energy Physics, 2017 In a previous article, we have argued that Low's sub-leading soft photon theorem can be recovered as a Ward identity associated to the same large gauge transformations that control the leading piece of the theorem. The key for that was to link the energy
Conde, Eduardo, Mao, Pujian
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Recurrence relations connecting mock theta functions and restricted partition functions [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 In this paper, we provide some recurrence relations connecting restricted partition functions and mock theta functions. Elementary manipulations are used including Jacobi triple product identity, Euler's pentagonal number theorem, and Ramanujan's theta ...
M. Rana, H. Kaur, K. Garg
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New magnetic symmetries in (d + 2)-dimensional QED
Journal of High Energy Physics, 2021 Previous analyses of asymptotic symmetries in QED have shown that the subleading soft photon theorem implies a Ward identity corresponding to a charge generating divergent large gauge transformations on the asymptotic states at null infinity.
Temple He, Prahar Mitra
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Covariant phase space and soft factorization in non-Abelian gauge theories
Journal of High Energy Physics, 2021 We perform a careful study of the infrared sector of massless non-abelian gauge theories in four-dimensional Minkowski spacetime using the covariant phase space formalism, taking into account the boundary contributions arising from the gauge sector of ...
Temple He, Prahar Mitra
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Toward the nonequilibrium thermodynamic analog of complexity and the Jarzynski identity
Journal of High Energy Physics, 2022 The Jarzynski identity can describe small-scale nonequilibrium systems through stochastic thermodynamics. The identity considers fluctuating trajectories in a phase space. The complexity geometry frames the discussions on quantum computational complexity
Chen Bai, Wen-Hao Li, Xian-Hui Ge
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Annamalai’s Binomial Identity and Theorem
SSRN Electronic Journal, 2022 This paper presents Annamalai’s binomial theorem, coefficient and identity generated by Chinnaraji Annamalai of the Indian Institute of Technology Kharagpur. Also, an extended geometric series is introduced with innovative summation of single terms and more successive terms of the series in this article.
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Polynomial identities implying Capparelli's partition theorems [PDF]
Journal of Number Theory, 2019 We propose and recursively prove polynomial identities which imply Capparelli's partition theorems. We also find perfect companions to the results of Andrews, and Alladi, Andrews and Gordon involving $q$-trinomial coefficients. We follow Kurşungöz's ideas to provide direct combinatorial interpretations of some of our expressions.
Alexander Berkovich, Ali Kemal Uncu
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A Kronecker-type identity and the representations of a number as a sum of three squares [PDF]
, 2017 By considering a limiting case of a Kronecker-type identity, we obtain an identity found by both Andrews and Crandall. We then use the Andrews-Crandall identity to give a new proof of a formula of Gauss for the representations of a number as a sum of ...
Mortenson, E.
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A note on primes of the form a2 + 1 [PDF]
, 2007 In this note I prove using an algebraic identity and Wilson's ...
Gonzalez, Juan Lopez
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A Shuffle Theorem for Paths Under Any Line
Forum of Mathematics, Pi, 2023 We generalize the shuffle theorem and its $(km,kn)$ version, as conjectured by Haglund et al. and Bergeron et al. and proven by Carlsson and Mellit, and Mellit, respectively. In our version the $(km,kn)$ Dyck paths on the combinatorial side
Jonah Blasiak +4 more
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