Topological couplings in higher derivative extensions of supersymmetric three-form gauge theories

Abstract

We consider a topological coupling between a pseudo-scalar field and a 3-form gauge field in N = 1 supersymmetric higher derivative 3-form gauge theories in four spacetime dimensions. We show that ghost/tachyon-free higher derivative Lagrangians with the topological coupling can generate various potentials for the pseudo-scalar field by solving the equation of motion for the 3-form gauge field.We give two examples of higher derivative Lagrangians and the corresponding potentials: one is a quartic order term of the field strength and the other is the term which can generate a cosine-type potential of the pseudo-scalar field.

Higher Forms and Membranes in 4D Supergravities

“…In [34], there was proposed a general receipt of how to incorporate gauge three-forms into 4D supergravity theory by dualizing chiral multiplets into so-called double (and single) three-form multiplets. Simple examples have been constructed in [21][22][23][24][25][26] and further developments can be found in [27][28][29][30][31][32][33][34][35][36]45,57]. These multiplets are also chiral, but they differ from the ordinary ones in their highest components.…”

“…Introducing the 3-form potentials A I 3 andà 3I constructed as in (36) with the composite prepotentials (39), we find that the integrand of the Wess-Zumino term (33) is…”

“…[21] In such multiplets the Hodge-dual of the four-form field strength * F 4 will take the place of conventional scalar auxiliary fields. Supersymmetric models of variant threeform multiplets have been studied in a series of publications [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36] and couplings with supersymmetric membranes have been also investigated. [37][38][39][40][41][42] These fields generically will arise from type-II string compactifications on Calabi-Yau manifolds with fluxes [8,13,43,44] and can thus provide the realization of the aforementioned physical scenarios in effective four-dimensional supergravity models.…”

Conservation Laws and Stability of Field Theories of Derived Type

“…Various ideas were applied to the study of stability of higher-derivative theories, including the non-Hermitian quantum mechanics [6][7][8], alternative Hamiltonian formulations [9][10][11][12], adiabatic invariants [13], and special boundary conditions [14]. For constrained systems, the energy can be bounded on-shell due to constraints [15][16][17]. The f(R)-gravity [18][19][20] is the most studied model of such a type.…”

Superconformal vector multiplet self-couplings and generalised Fayet-Iliopoulos terms

“…In the literature there have appeared various applications of the generalised FI terms [21,22,23,24,25,26,27,28,29,30,31], including inflationary cosmological models.…”