New Fayet-Iliopoulos terms in N = 2 supergravity

: We present a new type of Fayet-Iliopoulos (FI) terms in N = 2 supergravity that do not require the gauging of the R -symmetry. We elaborate on the impact of such terms on the vacuum structure of the N = 2 theory and compare their properties with the standard Fayet-Iliopoulos terms that arise from gaugings. In particular, we show that, with the use of the new FI terms, models with a single physical N = 2 vector multiplet can be constructed that give stable de Sitter vacua.

[1]  S. Kuzenko Superconformal vector multiplet self-couplings and generalised Fayet-Iliopoulos terms , 2019, Physics Letters B.

[2]  Yermek Aldabergenov No-scale supergravity with new Fayet-Iliopoulos term , 2019, Physics Letters B.

[3]  E. Palti,et al.  The Swampland: Introduction and Review , 2019, Fortschritte der Physik.

[4]  N. Cribiori,et al.  Supersymmetric Born-Infeld actions and new Fayet-Iliopoulos terms , 2018, Journal of High Energy Physics.

[5]  S. Ketov,et al.  Massive vector multiplet with Dirac-Born-Infeld and new Fayet-Iliopoulos terms in supergravity , 2018, Journal of High Energy Physics.

[6]  S. Ketov,et al.  General couplings of a vector multiplet in N = 1 supergravity with new FI terms , 2018, Physics Letters B.

[7]  I. Antoniadis,et al.  The cosmological constant in supergravity , 2018, The European Physical Journal C.

[8]  G. Dall’Agata,et al.  On the off-shell formulation of N = 2 supergravity with tensor multiplets , 2018, Journal of High Energy Physics.

[9]  I. Antoniadis,et al.  Fayet–Iliopoulos terms in supergravity and D-term inflation , 2018, The European Physical Journal C.

[10]  S. Kuzenko Taking a vector supermultiplet apart: Alternative Fayet–Iliopoulos-type terms , 2018, Physics Letters B.

[11]  S. Ketov,et al.  Removing instability of inflation in Polonyi–Starobinsky supergravity by adding FI term , 2017, 1711.06789.

[12]  S. Kuzenko,et al.  New nilpotent N = 2 superfields , 2017, 1707.07390.

[13]  Rikard von Unge,et al.  N = 2 super Yang-Mills theory in projective superspace , 2017, 1706.07000.

[14]  M. Trigiante Gauged Supergravities. , 2016, 1609.09745.

[15]  P. Petropoulos,et al.  0 A ug 2 01 8 All partial breakings in N = 2 supergravity with a single hypermultiplet , 2018 .

[16]  N. Cribiori,et al.  On the dynamical origin of parameters in N = 2 supersymmetry , 2018 .

[17]  A. Proeyen,et al.  Fayet-Iliopoulos terms in supergravity without gauged R-symmetry , 2017, 1712.08601.

[18]  J. Novak,et al.  The component structure of conformal supergravity invariants in six dimensions , 2017, 1701.08163.

[19]  I. Antoniadis,et al.  Nonlinear N = 2 global supersymmetry , 2017 .

[20]  M. Porrati,et al.  Minimal constrained supergravity , 2016, 1611.01490.

[21]  G. Dall’Agata,et al.  Interactions of N Goldstini in Superspace , 2016, 1607.01277.

[22]  S. Theisen,et al.  Invariants for minimal conformal supergravity in six dimensions , 2016, 1606.02921.

[23]  T. Kugo,et al.  Component versus Superspace Approaches to D = 4, N = 1 Conformal Supergravity , 2016, 1602.04441.

[24]  S. Kuzenko,et al.  Nilpotent chiral superfield in N = 2 supergravity and partial rigid supersymmetry breaking , 2016 .

[25]  I. Bandos,et al.  Brane induced supersymmetry breaking and de Sitter supergravity , 2015, 1511.03024.

[26]  S. Kuzenko Complex linear Goldstino superfield and supergravity , 2015 .

[27]  I. Antoniadis,et al.  The coupling of non-linear supersymmetry to supergravity , 2015, 1508.06767.

[28]  R. Kallosh,et al.  Pure de Sitter supergravity , 2015, 1507.08264.

[29]  S. Ferrara,et al.  Properties of nilpotent supergravity , 2015, 1507.07842.

[30]  D. Butter A new approach to curved projective superspace , 2014, 1406.6235.

[31]  Yusuke Yamada,et al.  Component action of nilpotent multiplet coupled to matter in 4 dimensional N = 1 supergravity , 2015 .

[32]  S. Kuzenko,et al.  Conformal supergravity in five dimensions: new approach and applications , 2014, 1410.8682.

[33]  D. Butter Projective multiplets and hyperkähler cones in conformal supergravity , 2014, 1410.3604.

[34]  S. Ferrara,et al.  A Search for an N=2 Inflaton Potential , 2014 .

[35]  S. Ferrara,et al.  The Volkov–Akulov–Starobinsky supergravity , 2014, 1403.3269.

[36]  S. Kuzenko,et al.  Conformal supergravity in three dimensions: new off-shell formulation , 2013, 1305.3132.

[37]  C. Scrucca,et al.  Simple metastable de Sitter vacua in N=2 gauged supergravity , 2013, 1302.1754.

[38]  S. Kuzenko Super-Weyl anomalies in N = 2 supergravity and (non)local effective actions , 2013 .

[39]  I. Antoniadis,et al.  N=2 supersymmetry breaking at two different scales , 2012, 1204.2141.

[40]  J. Novak,et al.  Component reduction in N = 2 supergravity : the vector , tensor , and vector-tensor multiplets , 2012 .

[41]  S. Kuzenko,et al.  $ \mathcal{N} = 2 $ AdS supergravity and supercurrents , 2011, 1104.2153.

[42]  U. Lindström,et al.  Off-shell supergravity-matter couplings in three dimensions , 2011, 1101.4013.

[43]  G. Tartaglino-Mazzucchelli On 2D N = (4,4) superspace supergravity , 2009, 0912.5300.

[44]  S. Kuzenko Lectures on nonlinear sigma-models in projective superspace , 2010, 1004.0880.

[45]  D. Butter N=1 Conformal Superspace in Four Dimensions , 2009, 0906.4399.

[46]  M. Roček,et al.  On conformal supergravity and projective superspace , 2009, 0905.0063.

[47]  S. Kuzenko,et al.  Different representations for the action principle in 4D N = 2 supergravity , 2008, 0812.3464.

[48]  M. Roček,et al.  Properties of Hyperkähler Manifolds and Their Twistor Spaces , 2008, 0807.1366.

[49]  S. Kuzenko,et al.  Field theory in 4D N = 2 conformally flat superspace , 2008, 0807.3368.

[50]  M. Roček,et al.  4D N=2 supergravity and projective superspace , 2008, 0805.4683.

[51]  S. Kuzenko,et al.  Super-Weyl invariance in 5D supergravity , 2008, 0802.3953.

[52]  S. Kuzenko,et al.  5D supergravity and projective superspace , 2007, 0712.3102.

[53]  S. Kuzenko,et al.  Five-dimensional superfield supergravity , 2007, 0710.3440.

[54]  A. Proeyen Supergravity with Fayet‐Iliopoulos terms and R‐symmetry , 2004, hep-th/0410053.

[55]  G. Dall’Agata,et al.  D=4, N=2 gauged supergravity in the presence of tensor multiplets , 2003, hep-th/0312210.

[56]  P. Fré,et al.  Stable de Sitter vacua from N=2 supergravity , 2002, hep-th/0205119.

[57]  G. Girardi,et al.  Supergravity couplings: a geometric formulation , 2000, hep-th/0005225.

[58]  P. Howe On harmonic superspace , 1998, hep-th/9812133.

[59]  M. Roček,et al.  Partial breaking of global D = 4 supersymmetry, constrained superfields, and three-brane actions , 1998, hep-th/9811232.

[60]  E. Ivanov,et al.  Modifying N=2 Supersymmetry via Partial Breaking , 1998, hep-th/9801016.

[61]  E. Ivanov,et al.  Modified N=2 supersymmetry and Fayet-Iliopoulos terms , 1997, hep-th/9710236.

[62]  S. Ferrara,et al.  N = 2 supergravity and N = 2 super Yang-Mills theory on general scalar manifolds: Symplectic covariance gaugings and the momentum map , 1996, hep-th/9605032.

[63]  S. Ferrara,et al.  General matter coupled N=2 supergravity , 1996, hep-th/9603004.

[64]  L. Girardello,et al.  Spontaneous breaking of N = 2 to N = 1 in rigid and local supersymmetric theories , 1995, hep-th/9512180.

[65]  I. Antoniadis,et al.  Spontaneous breaking of N = 2 global supersymmetry , 1995, hep-th/9512006.

[66]  I. Buchbinder,et al.  Ideas and Methods of Supersymmetry and Supergravity , 1995 .

[67]  S. Ferrara,et al.  Special and quaternionic isometries: General couplings in N = 2 supergravity and the scalar potential☆ , 1991 .

[68]  M. Müller Consistent Classical Supergravity Theories , 1989 .

[69]  M. Roček,et al.  New hyperkähler metrics and new supermultiplets , 1988 .

[70]  E. Sokatchev,et al.  $N=2$ Supergravity in Superspace: Different Versions and Matter Couplings , 1987 .

[71]  N. A. Kỳ,et al.  N=2 supergravity in superspace: Solution to the constraints , 1987 .

[72]  M. Müller Chiral actions for minimal N = 2 supergravity , 1987 .

[73]  L. Baulieu,et al.  BRS symmetry of supergravity in superspace and its projection to component formalism , 1987 .

[74]  E. S. Kandelakis Extended Akulov-Volkov superfield theory , 1986 .

[75]  W. Siegel Chiral actions for N = 2 supersymmetric tensor multiplets☆ , 1985 .

[76]  L. Girardello,et al.  Vector multiplets coupled to N=2 supergravity: Super-Higgs effect, flat potentials and geometric structure , 1985 .

[77]  P. G. Lauwers,et al.  Lagrangians of N = 2 supergravity-matter systems , 1985 .

[78]  M. Roček,et al.  Self-interacting tensor multiplets in N = 2 superspace , 1984 .

[79]  E Ivanov,et al.  Unconstrained N=2 matter, Yang-Mills and supergravity theories in harmonic superspace , 1984 .

[80]  Ulf Lindström,et al.  Scalar tensor duality and N = 1,2 non-linear σ-models , 1983 .

[81]  R. Philippe,et al.  The improved tensor multiplet in N = 2 supergravity , 1983 .

[82]  S. Gates,et al.  Superspace or One Thousand and One Lessons in Supersymmetry , 1983, hep-th/0108200.

[83]  M. Waldrop Supersymmetry and supergravity. , 1983, Science.

[84]  L. Girardello,et al.  Soft breaking of supersymmetry , 1982 .

[85]  E. Bergshoeff,et al.  Extended conformal supergravity , 1981 .

[86]  P. Howe A superspace approach to extended conformal supergravity , 1981 .

[87]  K. Stelle,et al.  Representations of Extended Supersymmetry , 1981 .

[88]  A. Proeyen,et al.  Structure of N=2 Supergravity , 1981 .

[89]  W. Siegel Off-shell central charges , 1980 .

[90]  A. Proeyen,et al.  Transformation rules of N = 2 supergravity multiplets , 1980 .

[91]  M. Roček,et al.  CONSTRAINED LOCAL SUPERFIELDS , 1979 .

[92]  W. Siegel Superfields in higher-dimensional spacetime , 1979 .

[93]  M. Sohnius,et al.  Extended Supersymmetry and Gauge Theories , 1978 .

[94]  B. Zumino SUPERGRAVITY , 1977 .

[95]  B. Zumino,et al.  Broken Supersymmetry and Supergravity , 1977 .

[96]  P. Fayet Fermi-Bose Hypersymmetry , 1976 .

[97]  J. Wess Supersymmetry and Internal Symmetry , 1975 .

[98]  P. Fayet,et al.  Spontaneously broken supergauge symmetries and goldstone spinors , 1974 .