http://arxiv.org/abs/1808.03483(adsbygoogle = window.adsbygoogle || []).push({});

Theta-problem and the String Swampland

Sergio Cecotti, Cumrun Vafa

(Submitted on 10 Aug 2018)

In the context of N=2 supergravity without vector multiplets coupled to hypermultiplets, the coupling constant of graviphoton τ is apriori a free parameter. Stringy realization of this and using a mathematical conjecture leads to the statement that j(τ)∈R so that the θ-angle is 0 or π. We conjecture that for any consistent realization of N=2 supergravity theories coupled only to hypermultiplets this is the case and the rest belong to the swampland. This leads to the speculation that the θ-angle for QCD or QED may also be fixed to 0 for quantum gravitational consistency.

http://arxiv.org/abs/1808.04583

The Pauli sum rules imply BSM physics

Matt Visser (Victoria University of Wellington)

(Submitted on 14 Aug 2018)

Some 67 years ago (1951) Wolfgang Pauli mooted the three sum rules:

$$\sum_n (−1)^{2S_n} g_n=0; \sum_n (−1)^{2S_n} g_n m_n^2 = 0; \sum_n (−1)^{2S_n} g_n m_n^4 = 0.$$ These three sum rules are intimately related to both the Lorentz invariance and the finiteness of the zero-point stress-energy tensor. Further afield, these three constraints are also intimately related to the existence of finite QFTs ultimately based on fermi--bose cancellations. (Supersymmetry is neither necessary nor sufficient for the existence of these finite QFTs; though softly but explicitly broken supersymmetry can be used as a book-keeping device to keep the calculations manageable.) In the current article I shall instead take these three Pauli sum rules as given, assume their exact non-perturbative validity, contrast them with the observed standard model particle physics spectrum, and use them to extract as much model-independent information as possible regarding beyond standard model (BSM) physics.

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# A Numerology from Vafa and Visser

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