# On the cohomology and inner products of the Berkovits superparticle and superstring

@article{Chesterman2004OnTC, title={On the cohomology and inner products of the Berkovits superparticle and superstring}, author={Michael Chesterman}, journal={Nuclear Physics}, year={2004}, volume={703}, pages={400-410} }

## 21 Citations

### Origin of pure spinor superstring

- Physics
- 2005

The pure spinor formalism for the superstring, initiated by N. Berkovits, is derived at the fully quantum level starting from a fundamental reparametrization invariant and super-Poincare invariant…

### Topological M-theory from pure spinor formalism

- Physics
- 2004

We construct multiloop superparticle amplitudes in 11d using the pure spinor formalism. We explain how this construction emerges in the superparticle limit of the multiloop pure spinor superstring…

### Towards pure spinor type covariant description of supermembrane --- an approach from the double spin

- Computer Science
- 2006

This paper extends the doubling of the spinor degrees of freedom in the Green-Schwarz formulation together with the introduction of a new compensating local fermionic symmetry to the case of the supermembrane in 11 dimensions at the classical level.

### Vertex operators for closed superstrings

- Mathematics
- 2004

We construct an iterative procedure to compute the vertex operators of the closed superstring in the covariant formalism given a solution of IIA/IIB supergravity. The manifest supersymmetry allows us…

### Pure-spinor superstrings in d = 2,4,6

- Physics
- 2005

We continue the study of the d = 2,4,6 pure-spinor superstring models introduced in [1]. By explicitly solving the pure-spinor constraint we show that these theories have vanishing central charge and…

### Hilbert space of curved betagamma systems on quadric cones

- Mathematics
- 2008

We clarify the structure of the Hilbert space of curved βγ systems defined by a quadratic constraint. The constraint is studied using intrinsic and BRST methods, and their partition functions are…

### A Simple BRST system with quadratically constrained ghosts

- Physics
- 2008

I present a toy model for the Berkovits pure spinor superparticle. It is a D=1, N=2 superparticle with no physical degrees of freedom. We study the cohomology in various ways, in particular finding…

### Pure spinor partition function and the massive superstring spectrum

- Physics
- 2008

We explicitly compute up to the fifth mass-level the partition function of ten-dimensional pure spinor worldsheet variables including the spin dependence. After adding the contribution from the (x �…

### Relating Green-Schwarz and extended pure spinor formalisms by similarity transformation

- Physics
- 2004

In order to gain deeper understanding of pure-spinor-based formalisms of superstring, an explicit similarity transformation is constructed which provides operator mapping between the light-cone…

## References

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- Physics
- 2004

We present a modification of the Berkovits superparticle. This is firstly in order to covariantly quantize the pure spinor ghosts, and secondly to covariantly calculate matrix elements of a generic…

### Cohomology in the pure spinor formalism for the superstring

- Physics
- 2000

A manifestly super-Poincare covariant formalism for the superstring has recently been constructed using a pure spinor variable. Unlike the covariant Green-Schwarz formalism, this new formalism is…

### Lorentz invariance of the pure spinor BRST cohomology for the superstring

- Physics, Mathematics
- 2001

### Spinorial cohomology and maximally supersymmetric theories

- Physics
- 2001

Fields in supersymmetric gauge theories may be seen as elements in a spinorial cohomology. We elaborate on this subject, specialising to maximally supersymmetric theories, where the superspace…

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- Physics
- 2001

The ten-dimensional superparticle is covariantly quantized by constructing a BRST operator from the fermionic Green-Schwarz constraints and a bosonic pure spinor variable. This same method was…

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- Physics
- 2000

Using pure spinors, the superstring was recently quantized in a manifestly ten-dimensional super-Poincare covariant manner and a covariant prescription was given for tree-level scattering amplitudes.…

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This is a systematic study of the classical and quantum theories of gauge systems. It starts with Dirac's analysis showing that gauge theories are constrained Hamiltonian systems. The classical…

### JHEP 02

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### JHEP 09

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