# The Sum Over Topological Sectors and θ in the 2+1-Dimensional $${\mathbb{CP}^1 \sigma}$$ CP 1 σ -Model

## Abstract

Not provided.

- Authors:

- Publication Date:

- Research Org.:
- Inst. for Advanced Study, Princeton, NJ (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 1537661

- DOE Contract Number:
- SC0009988

- Resource Type:
- Journal Article

- Journal Name:
- Communications in Mathematical Physics

- Additional Journal Information:
- Journal Volume: 362; Journal Issue: 1; Journal ID: ISSN 0010-3616

- Publisher:
- Springer

- Country of Publication:
- United States

- Language:
- English

- Subject:
- Physics

### Citation Formats

```
Freed, Daniel S., Komargodski, Zohar, and Seiberg, Nathan.
```*The Sum Over Topological Sectors and θ in the 2+1-Dimensional $${\mathbb{CP}^1 \sigma}$$ CP 1 σ -Model*. United States: N. p., 2018.
Web. doi:10.1007/s00220-018-3093-0.

```
Freed, Daniel S., Komargodski, Zohar, & Seiberg, Nathan.
```*The Sum Over Topological Sectors and θ in the 2+1-Dimensional $${\mathbb{CP}^1 \sigma}$$ CP 1 σ -Model*. United States. doi:10.1007/s00220-018-3093-0.

```
Freed, Daniel S., Komargodski, Zohar, and Seiberg, Nathan. Tue .
"The Sum Over Topological Sectors and θ in the 2+1-Dimensional $${\mathbb{CP}^1 \sigma}$$ CP 1 σ -Model". United States. doi:10.1007/s00220-018-3093-0.
```

```
@article{osti_1537661,
```

title = {The Sum Over Topological Sectors and θ in the 2+1-Dimensional $${\mathbb{CP}^1 \sigma}$$ CP 1 σ -Model},

author = {Freed, Daniel S. and Komargodski, Zohar and Seiberg, Nathan},

abstractNote = {Not provided.},

doi = {10.1007/s00220-018-3093-0},

journal = {Communications in Mathematical Physics},

issn = {0010-3616},

number = 1,

volume = 362,

place = {United States},

year = {2018},

month = {1}

}

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Works referenced in this record:

##
Setting the Quantum Integrand of M-Theory

journal, January 2006

- Freed, Daniel S.; Moore, Gregory W.
- Communications in Mathematical Physics, Vol. 263, Issue 1

##
Linking Numbers, Spin, and Statistics of Solitons

journal, December 1983

- Wilczek, Frank; Zee, A.
- Physical Review Letters, Vol. 51, Issue 25

##
Fermi-Bose Transmutations Induced by Gauge Fields

journal, February 1988

- Polyakov, A. M.
- Modern Physics Letters A, Vol. 03, Issue 03

##
Theta-terms in nonlinear sigma-models

journal, March 2000

- Abanov, A. G.; Wiegmann, P. B.
- Nuclear Physics B, Vol. 570, Issue 3

##
Neutral fermions in paramagnetic insulators

journal, February 1988

- Dzyaloshinskii, I.; Polyakov, A.; Wiegmann, P.
- Physics Letters A, Vol. 127, Issue 2

##
A duality web in $2+1$ dimensions and condensed matter physics

journal, November 2016

- Seiberg, Nathan; Senthil, T.; Wang, Chong
- Annals of Physics, Vol. 374

##
Topological Disorder Operators in Three-Dimensional Conformal Field Theory

journal, November 2002

- Borokhov, Vadim; Kapustin, Anton; Wu, Xinkai
- Journal of High Energy Physics, Vol. 2002, Issue 11

##
Pions and generalized cohomology

journal, September 2008

- Freed, D. S.
- Journal of Differential Geometry, Vol. 80, Issue 1

##
Global aspects of current algebra

journal, August 1983

- Witten, Edward
- Nuclear Physics B, Vol. 223, Issue 2

##
Current algebra, baryons, and quark confinement

journal, August 1983

- Witten, Edward
- Nuclear Physics B, Vol. 223, Issue 2

##
Reading between the lines of four-dimensional gauge theories

journal, August 2013

- Aharony, Ofer; Seiberg, Nathan; Tachikawa, Yuji
- Journal of High Energy Physics, Vol. 2013, Issue 8

##
Modifying the sum over topological sectors and constraints on supergravity

journal, July 2010

- Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2010, Issue 7

##
D-brane charges in five-brane backgrounds

journal, October 2001

- Maldacena, Juan; Seiberg, Nathan; Moore, Gregory
- Journal of High Energy Physics, Vol. 2001, Issue 10

##
Coupling a QFT to a TQFT and duality

journal, April 2014

- Kapustin, Anton; Seiberg, Nathan
- Journal of High Energy Physics, Vol. 2014, Issue 4

##
Topological gauge theories and group cohomology

journal, April 1990

- Dijkgraaf, Robbert; Witten, Edward
- Communications in Mathematical Physics, Vol. 129, Issue 2

##
Higher algebraic structures and quantization

journal, January 1994

- Freed, Daniel S.
- Communications in Mathematical Physics, Vol. 159, Issue 2

##
Quadratic functions in geometry, topology, and M-theory

journal, July 2005

- Hopkins, M. J.; Singer, I. M.
- Journal of Differential Geometry, Vol. 70, Issue 3

##
The Uncertainty of Fluxes

journal, January 2007

- Freed, Daniel S.; Moore, Gregory W.; Segal, Graeme
- Communications in Mathematical Physics, Vol. 271, Issue 1

##
Spectral asymmetry and Riemannian Geometry. I

journal, January 1975

- Atiyah, M. F.; Patodi, V. K.; Singer, I. M.
- Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 77, Issue 1