Partition Functions of Pure Spinors
arXiv:hep-th/0510215 · doi:10.1016/j.nuclphysb.2006.05.021
Abstract
We compute partition functions describing multiplicities and charges of massless and first massive string states of pure-spinor superstrings in 3,4,6,10 dimensions. At the massless level we find a spin-one gauge multiplet of minimal supersymmetry in d dimensions. At the first massive string level we find a massive spin-two multiplet. The result is confirmed by a direct analysis of the BRST cohomology at ghost number one. The central charges of the pure spinor systems are derived in a manifestly SO(d) covariant way confirming that the resulting string theories are critical. A critical string model with N=(2,0) supersymmetry in d=2 is also described.
LaTex, 30 pp
References in corpus (26)
- Super-Poincare Covariant Quantization of the Superstring
- Pure Spinor Formalism as an N=2 Topological String
- On stringy AdS_5 x S^5 and higher spin holography
- Multiloop Amplitudes and Vanishing Theorems using the Pure Spinor Formalism for the Superstring
- ICTP Lectures on Covariant Quantization of the Superstring
- Consistency of Super-Poincare Covariant Superstring Tree Amplitudes
- Higher Spin Symmetry and N=4 SYM
- Superconformal Gauge Theories and Non-Critical Superstrings
- Covariant Quantization of Superstrings Without Pure Spinor Constraints
- Cohomology in the Pure Spinor Formalism for the Superstring
- Covariant One-Loop Amplitudes in D=11
- On the spectrum of AdS/CFT beyond supergravity
- Massive Superstring Vertex Operator in D=10 Superspace
- On the Berkovits Covariant Quantization of GS Superstring
- Relating the Green-Schwarz and Pure Spinor Formalisms for the Superstring
- The Superembedding Origin of the Berkovits Pure Spinor Covariant Quantization of Superstrings
- A New First Class Algebra, Homological Perturbation and Extension of Pure Spinor Formalism for Superstring
- Ghost constraints and the covariant quantization of the superparticle in ten dimensions
- Super-Chern-Simons Theory as Superstring Theory
- Relating Green-Schwarz and Extended Pure Spinor Formalisms by Similarity Transformation
- Lower-dimensional pure-spinor superstrings
- Operator Mapping between RNS and Extended Pure Spinor Formalisms for Superstring
- Pure-spinor superstrings in d=2,4,6
- D-Brane Boundary States in the Pure Spinor Superstring
- Higher spin holography for SYM in d dimensions
- Yang-Mills theories in dimensions 3,4,6,10 and Bar-duality
Cited by in corpus (18)
- Sasaki-Einstein Manifolds and Volume Minimisation
- Pure Spinor Vertex Operators in Siegel Gauge and Loop Amplitude Regularization
- Superstring Scattering Amplitudes with the Pure Spinor Formalism
- Integrability of Type II Superstrings on Ramond-Ramond Backgrounds in Various Dimensions
- Lower-dimensional pure-spinor superstrings
- Hilbert space of curved βγsystems on quadric cones
- Partition Functions, Localization, and the Chiral de Rham complex
- Theta Expansion of First Massive Vertex Operator in Pure Spinor
- Non-Critical Pure Spinor Superstrings
- N=2 Superparticles, RR Fields and Noncommutative Structures of (super)-Spacetime
- Hidden exceptional symmetry in the pure spinor superstring
- Curved Beta-Gamma Systems and Quantum Koszul Resolution
- DDF Construction and D-Brane Boundary States in Pure Spinor Formalism
- Y-Formalism and Curved Beta-Gamma Systems
- Partition function of beta-gamma system on orbifolds
- A simple BRST system with quadratically constrained ghosts
- BV Formalism and Partition Functions
- Beta-gamma system, pure spinors and Hilbert series of arc spaces