Search arXiv⌕ Search
Home/Archive/arXiv

arXiv · hep-th/0603212

Gauge invariant Lagrangian construction for massive higher spin fermionic fields

I. L. Buchbinder·V. A. Krykhtin·L. L. Ryskina·H. Takata
View original source ↗Read source document ↗Export metadata ↓

Abstract

We formulate a general gauge invariant Lagrangian construction describing the dynamics of massive higher spin fermionic fields in arbitrary dimensions. Treating the conditions determining the irreducible representations of Poincare group with given spin as the operator constraints in auxiliary Fock space, we built the BRST charge for the model under consideration and find the gauge invariant equations of motion in terms of vectors and operators in the Fock space. It is shown that like in massless case hep-th/0410215, the massive fermionic higher spin field models are the reducible gauge theories and the order of reducibility grows with the value of spin. In compare with all previous approaches, no off-shell constraints on the fields and the gauge parameters are imposed from the very beginning, all correct constraints emerge automatically as the consequences of the equations of motion. As an example, we derive a gauge invariant Lagrangian for massive spin 3/2 field.

Explore related subjects

hep-th

Keep this discovery

Explore connections, maps & timelines

BibTeXRIS

I. L. Buchbinder, V. A. Krykhtin, L. L. Ryskina, H. Takata. 2006-04-04. Gauge invariant Lagrangian construction for massive higher spin fermionic fields. https://doi.org/10.1016/j.physletb.2006.08.060

Cite the original work for its findings. Save a collection to share your selection of sources.

KEEP EXPLORING

Related papers

arXiv2026

Time-like Janus Solution -- holographic global quantum quench --

We construct a time-like Janus solution, which is mediated by a time-dependent dilaton field in asymptotic AdS spacetime. This solution breaks the null energy condition, but we argue that it is nevertheless useful as a toy model of holographic global quantum quench. The dual CFT is given by conformal perturbation theory, where the primary scalar operator that is dual to the bulk dilaton field is coupled with a global-quench-type time-dependent source. We compute one-point functions of the scalar operator and the stress-energy tensor, and confirm that the results are consistent with the proposed CFT picture. We also evaluate the holographic entanglement entropy for late time after the global quench. Finite temperature version of the solution, which can be interpreted as a time-dependent black hole, is also discussed.

hep-th↗
arXiv2026

ADE Minimal Strings and Multi-Matrix Duals

We revisit ADE minimal string theories, focusing on the D- and E-series minimal models coupled to Liouville theory. Unlike the A-series, whose duals are solvable two-matrix models, these theories are conjectured to correspond to unsolvable four-matrix integrals. We compute sphere four-point and torus one-point amplitudes in the AMS, DMS, and EMS via direct numerical integration over moduli space, confirming/disproving some known results and providing new data where matrix-model predictions are unavailable. For torus one-point amplitudes, we also present conjectural analytic formulas consistent with all our numerical checks. From amplitudes with conformal boundaries, we find evidence for multi-matrix structure in the D-series, including scaled ramp behavior in cylinder diagrams and deviations from the ZZ-instanton sector of two-matrix models. We also perform a preliminary positivity bootstrap to constrain critical points of the multi-matrix models relevant to the DMS string.

hep-th↗
arXiv2026

Resurgence in the Virasoro Minimal String and 3d Gravity

We compute non-perturbative, resurgent contributions to the Virasoro minimal string and 3d gravity using techniques from hermitian matrix models. In particular, we construct a fully non-perturbative partition function for the Virasoro minimal string in terms of a Zak transform. In this context, negative tension D-branes appear naturally, which in the matrix model correspond to anti-eigenvalues, or instantons on the involuted sheet of the spectral curve. We further extend this analysis to resolvents and observe resurgent wall crossing phenomena between ZZ- and FZZT-branes. Using recent results that relate the Virasoro minimal string to 3d gravity with end-of-the-world branes we proceed to study the resurgent consequences of summing over the genus in 3d gravity, where we find non-perturbative contributions of doubly exponential type. These statements are then tested using resurgent large-order asymptotics. Lastly, we compute the non-perturbative eigenvalue density for generic hermitian matrix models and identify the change of asymptotic behavior at the edge of the eigenvalue distribution with a Stokes transition. This allows us to identify oscillations in the eigenvalue density with anti-Stokes behavior of FZZT-branes. In the case of 3d gravity with end-of-the-world branes we comment how this Stokes transition coincides with the onset of black hole behaviour and compute the non-perturbative primary density. Furthermore, we apply these techniques to the eigenvalue density of JT gravity to compute higher genus corrections.

hep-th↗