Circumnavigating collinear superspace

Cohen, Timothy; Elor, Gilly; Larkoski, Andrew J.; Thaler, Jesse

doi:10.1007/JHEP02(2020)156

Circumnavigating collinear superspace

Journal Article · Tue Feb 25 00:00:00 EST 2020 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/JHEP02(2020)156· OSTI ID:1603791

Cohen, Timothy ^[1]; Elor, Gilly ^[2]; Larkoski, Andrew J. ^[3]; Thaler, Jesse ^[4]

Univ. of Oregon, Eugene, OR (United States). Inst. of Theoretical Science; University of Oregon
Univ. of Washington, Seattle, WA (United States)
Reed College, Portland, OR (United States)
Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States); Harvard Univ., Cambridge, MA (United States)

In this paper, we extend the collinear superspace formalism to include the full range of N = 1 supersymmetric interactions. Building on the effective field theory rules developed in a companion paper — Navigating Collinear Superspace — we construct collinear superspace Lagrangians for theories with non-trivial F- and D-term auxiliary fields. For (massless) Wess-Zumino models, the key ingredient is a novel type of Grassmann-valued supermultiplet whose lowest component is a (non-propagating) fermionic degree of freedom. For gauge theories coupled to charged chiral matter, the key ingredient is a novel type of vector superfield whose lowest component is a non-propagating gauge potential. This unique vector superfield is used to construct a gauge-covariant derivative; while such an object does not appear in the standard full superspace formalism, it is crucial for modeling gauge interactions when the theory is expres sed on a collinear slice. This brings us full circle, by showing that all types of N = 1 theories in four dimensions can beconstructed in collinear superspace from purely infrared considerations. We speculate that supersymmetric theories with N > 1 could also be implemented using similar collinear superspace constructions.

View Accepted Manuscript (DOE)

Research Organization:: Massachusetts Institute of Technology (MIT), Cambridge, MA (United States); Univ. of Oregon, Eugene, OR (United States); Univ. of Washington, Seattle, WA (United States)

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

Grant/Contract Number:: SC0011637; SC0011640; SC0012567; SC0018191

OSTI ID:: 1603791

Alternate ID(s):: OSTI ID: 1756102
OSTI ID: 1774038

Journal Information:: Journal of High Energy Physics (Online), Journal Name: Journal of High Energy Physics (Online) Journal Issue: 2 Vol. 2020; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

References (37)

Introduction Becher, Thomas; Broggio, Alessandro; Ferroglia, Andrea Introduction to Soft-Collinear Effective Theory https://doi.org/10.1007/978-3-319-14848-9_1	book	January 2015
Soft-collinear supersymmetry Cohen, Timothy; Elor, Gilly; Larkoski, Andrew J. Journal of High Energy Physics, Vol. 2017, Issue 3 https://doi.org/10.1007/JHEP03(2017)017	journal	March 2017
The Supersymmetric Effective Field Theory of Inflation Delacrétaz, Luca V.; Gorbenko, Victor; Senatore, Leonardo Journal of High Energy Physics, Vol. 2017, Issue 3 https://doi.org/10.1007/JHEP03(2017)063	journal	March 2017
On the origin of constrained superfields Dall’Agata, G.; Dudas, E.; Farakos, F. Journal of High Energy Physics, Vol. 2016, Issue 5 https://doi.org/10.1007/JHEP05(2016)041	journal	May 2016
Rigid supersymmetric theories in curved superspace Festuccia, Guido; Seiberg, Nathan Journal of High Energy Physics, Vol. 2011, Issue 6 https://doi.org/10.1007/JHEP06(2011)114	journal	June 2011
Soft theorems from effective field theory Larkoski, Andrew J.; Neill, Duff; Stewart, Iain W. Journal of High Energy Physics, Vol. 2015, Issue 6 https://doi.org/10.1007/JHEP06(2015)077	journal	June 2015
An effective field theory for forward scattering and factorization violation Rothstein, Ira Z.; Stewart, Iain W. Journal of High Energy Physics, Vol. 2016, Issue 8 https://doi.org/10.1007/JHEP08(2016)025	journal	August 2016
The goldstone and goldstino of supersymmetric inflation Kahn, Yonatan; Roberts, Daniel A.; Thaler, Jesse Journal of High Energy Physics, Vol. 2015, Issue 10 https://doi.org/10.1007/JHEP10(2015)001	journal	October 2015
Localization of Gauge Theory on a Four-Sphere and Supersymmetric Wilson Loops Pestun, Vasily Communications in Mathematical Physics, Vol. 313, Issue 1 https://doi.org/10.1007/s00220-012-1485-0	journal	May 2012
Supergauge multiplets and superfields Ferrara, S.; Zumino, B.; Wess, J. Physics Letters B, Vol. 51, Issue 3 https://doi.org/10.1016/0370-2693(74)90283-4	journal	August 1974
Spontaneously broken supergauge symmetries and goldstone spinors Fayet, P.; Iliopoulos, J. Physics Letters B, Vol. 51, Issue 5 https://doi.org/10.1016/0370-2693(74)90310-4	journal	September 1974
Quantum superspace Brink, Lars; Schwarz, John H. Physics Letters B, Vol. 100, Issue 4 https://doi.org/10.1016/0370-2693(81)90093-9	journal	April 1981
The ultra-violet finiteness of the N=4 Yang-Mills theory Brink, Lars; Lindgren, Olof; E. W. Nilsson, Bengt Physics Letters B, Vol. 123, Issue 5 https://doi.org/10.1016/0370-2693(83)91210-8	journal	April 1983
The reduction of N = 1 supersymmetric Yang-Mills theory to the light-cone gauge Hassoun, Y.; Restuccia, A.; Taylor, J. G. Physics Letters B, Vol. 124, Issue 3-4 https://doi.org/10.1016/0370-2693(83)91434-X	journal	April 1983
Super-gauge transformations Salam, Abdus; Strathdee, J. Nuclear Physics B, Vol. 76, Issue 3 https://doi.org/10.1016/0550-3213(74)90537-9	journal	July 1974
Transformation properties of the supercurrent Ferrara, S.; Zumino, B. Nuclear Physics B, Vol. 87, Issue 2 https://doi.org/10.1016/0550-3213(75)90063-2	journal	March 1975
All possible generators of supersymmetries of the S-matrix Haag, Rudolf; Łopuszański, Jan T.; Sohnius, Martin Nuclear Physics B, Vol. 88, Issue 2 https://doi.org/10.1016/0550-3213(75)90279-5	journal	March 1975
Superprojectors Siegel, W.; Gates, S. J. Nuclear Physics B, Vol. 189, Issue 2 https://doi.org/10.1016/0550-3213(81)90382-5	journal	October 1981
Light-cone superspace and the ultraviolet finiteness of the N=4 model Mandelstam, Stanley Nuclear Physics B, Vol. 213, Issue 1 https://doi.org/10.1016/0550-3213(83)90179-7	journal	March 1983
On-shell and conformal N = 4 supergravity in superspace James Gates, S. Nuclear Physics B, Vol. 213, Issue 3 https://doi.org/10.1016/0550-3213(83)90229-8	journal	March 1983
N = 4 Yang-Mills theory on the light cone Brink, Lars; Lindgren, Olof; E. W. Nilsson, Bengt Nuclear Physics B, Vol. 212, Issue 3 https://doi.org/10.1016/0550-3213(83)90678-8	journal	February 1983
Electric-magnetic duality in supersymmetric non-Abelian gauge theories Seiberg, N. Nuclear Physics B, Vol. 435, Issue 1-2 https://doi.org/10.1016/0550-3213(94)00023-8	journal	February 1995
Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD Seiberg, N.; Witten, E. Nuclear Physics B, Vol. 431, Issue 3 https://doi.org/10.1016/0550-3213(94)90214-3	journal	December 1994
Light-cone supersymmetry and D-branes Green, Michael B.; Gutperle, Michael Nuclear Physics B, Vol. 476, Issue 3 https://doi.org/10.1016/0550-3213(96)00352-5	journal	September 1996
Reparameterization invariance for collinear operators Manohar, Aneesh V.; Mehen, Thomas; Pirjol, Dan Physics Letters B, Vol. 539, Issue 1-2 https://doi.org/10.1016/S0370-2693(02)02029-4	journal	July 2002
Wilson loops in supersymmetric Yang–Mills theory Erickson, J. K.; Semenoff, G. W.; Zarembo, K. Nuclear Physics B, Vol. 582, Issue 1-3 https://doi.org/10.1016/S0550-3213(00)00300-X	journal	August 2000
Light-cone superspace BPS theory Hearin, Patrick Nuclear Physics B, Vol. 846, Issue 2 https://doi.org/10.1016/j.nuclphysb.2011.01.005	journal	May 2011
Aspects of Supersymmetry and its Breaking Dumitrescu, Thomas T.; Komargodski, Zohar Nuclear Physics B - Proceedings Supplements, Vol. 216, Issue 1 https://doi.org/10.1016/j.nuclphysbps.2011.04.149	journal	July 2011
Quantum integrability in (super) Yang–Mills theory on the light-cone Belitsky, A. V.; Derkachov, S. É.; Korchemsky, G. P. Physics Letters B, Vol. 594, Issue 3-4 https://doi.org/10.1016/j.physletb.2004.04.092	journal	August 2004
Two-component spinor techniques and Feynman rules for quantum field theory and supersymmetry Dreiner, Herbi K.; Haber, Howard E.; Martin, Stephen P. Physics Reports, Vol. 494, Issue 1-2 https://doi.org/10.1016/j.physrep.2010.05.002	journal	September 2010
The Large-N Limit of Superconformal Field Theories and Supergravity Maldacena, Juan International Journal of Theoretical Physics, Vol. 38, Issue 4, p. 1113-1133 https://doi.org/10.1023/A:1026654312961	journal	January 1999
Generating tree amplitudes in 𝒩 = 4 SYM and 𝒩 = 8 SG Bianchi, Massimo; Elvang, Henriette; Freedman, Daniel Z. Journal of High Energy Physics, Vol. 2008, Issue 09 https://doi.org/10.1088/1126-6708/2008/09/063	journal	September 2008
From linear SUSY to constrained superfields Komargodski, Zohar; Seiberg, Nathan Journal of High Energy Physics, Vol. 2009, Issue 09 https://doi.org/10.1088/1126-6708/2009/09/066	journal	September 2009
Introduction to noncovariant gauges Leibbrandt, George Reviews of Modern Physics, Vol. 59, Issue 4 https://doi.org/10.1103/RevModPhys.59.1067	journal	October 1987
Super-Tricks for Superspace Bertolini, D.; Thaler, J.; Thomas, Z. Proceedings of the 2012 Theoretical Advanced Study Institute in Elementary Particle Physics, Searching for New Physics at Small and Large Scales https://doi.org/10.1142/9789814525220_0009	conference	November 2013
Still in Light-Cone Superspace Ramond, P. International Journal of Modern Physics A, Vol. 25, Issue 02n03 https://doi.org/10.1142/S0217751X10048676	journal	January 2010
As Scales Become Separated: Lectures on Effective Field Theory Cohen, Tim Proceedings of Theoretical Advanced Study Institute Summer School 2018 "Theory in an Era of Data" — PoS(TASI2018) https://doi.org/10.22323/1.333.0011	conference	July 2019

Similar Records

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
Superspaces
Supersymmetric Effective Theories
Supersymmetric GaugeTheory

Circumnavigating collinear superspace

Citation Formats

References (37)

Similar Records

Related Subjects