Soft bootstrap and supersymmetry

Elvang, Henriette; Hadjiantonis, Marios; Jones, Callum R.  T.; Paranjape, Shruti

doi:10.1007/jhep01(2019)195

Title: Soft bootstrap and supersymmetry

Journal Article · Fri Jan 25 00:00:00 EST 2019 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep01(2019)195· OSTI ID:1610961

Elvang, Henriette ^[1];

^[1];

^[1]

Univ. of Michigan, Ann Arbor, MI (United States). Dept. of Physics

The soft bootstrap is an on-shell method to constrain the landscape of effective field theories (EFTs) of massless particles via the consistency of the low-energy S-matrix. Given assumptions on the on-shell data (particle spectra, linear symmetries, and low-energy theorems), the soft bootstrap is an efficient algorithm for determining the possible consistency of an EFT with those properties. The implementation of the soft bootstrap uses the recently discovered method of soft subtracted recursion. We derive a precise criterion for the validity of these recursion relations and show that they fail exactly when the assumed symmetries can be trivially realized by independent operators in the effective action. We use this to show that the possible pure (real and complex) scalar, fermion, and vector exceptional EFTs are highly constrained. Next, we prove how the soft behavior of states in a supermultiplet must be related and illustrate the results in extended supergravity. We demonstrate the power of the soft bootstrap in two applications. First, for the $ \mathcal{N} $ = 1 and $ \mathcal{N} $ = 2 CP¹ nonlinear sigma models, we show that on-shell constructibility establishes the emergence of accidental IR symmetries. This includes a new on-shell perspective on the interplay between $ \mathcal{N} $ = 2 supersymmetry, low-energy theorems, and electromagnetic duality. We also show that $ \mathcal{N} $ = 2 supersymmetry requires 3-point interactions with the photon that make the soft behavior of the scalar O(1) instead of vanishing, despite the underlying symmetric coset. Second, we study Galileon theories, including aspects of supersymmetrization, the possibility of a vector-scalar Galileon EFT, and the existence of higher-derivative corrections preserving the enhanced special Galileon symmetry. The latter is addressed both by soft bootstrap and by application of double-copy/KLT relations applied to higher-derivative corrections of chiral perturbation theory.

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Research Organization:: Univ. of Michigan, Ann Arbor, MI (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF)

Grant/Contract Number:: SC0007859; PHY17-48958

OSTI ID:: 1610961

Alternate ID(s):: OSTI ID: 1643784

Journal Information:: Journal of High Energy Physics (Online), Vol. 2019, Issue 1; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 67 works

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