# Geometry, topology, and string theory

## Abstract

A variety of scenarios are considered which shed light upon the uses and limitations of classical geometric and topological notions in string theory. The primary focus is on situations in which D-brane or string probes of a given classical space-time see the geometry quite differently than one might naively expect. In particular, situations in which extra dimensions, non-commutative geometries as well as other non-local structures emerge are explored in detail. Further, a preliminary exploration of such issues in Lorentzian space-times with non-trivial causal structures within string theory is initiated.

- Authors:

- Univ. of California, Berkeley, CA (United States)

- Publication Date:

- Research Org.:
- Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

- OSTI Identifier:
- 813395

- Report Number(s):
- LBNL-53120

R&D Project: PTHOPS; TRN: US0303906

- DOE Contract Number:
- AC03-76SF00098

- Resource Type:
- Thesis/Dissertation

- Resource Relation:
- Other Information: TH: Thesis (Ph.D.); Submitted to the Univ. of California, Berkeley, CA (US); PBD: 10 Jul 2003

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; DIMENSIONS; EXPLORATION; GEOMETRY; PROBES; SPACE-TIME; TOPOLOGY; STRING THEORY

### Citation Formats

```
Varadarajan, Uday.
```*Geometry, topology, and string theory*. United States: N. p., 2003.
Web. doi:10.2172/813395.

```
Varadarajan, Uday.
```*Geometry, topology, and string theory*. United States. doi:10.2172/813395.

```
Varadarajan, Uday. Wed .
"Geometry, topology, and string theory". United States.
doi:10.2172/813395. https://www.osti.gov/servlets/purl/813395.
```

```
@article{osti_813395,
```

title = {Geometry, topology, and string theory},

author = {Varadarajan, Uday},

abstractNote = {A variety of scenarios are considered which shed light upon the uses and limitations of classical geometric and topological notions in string theory. The primary focus is on situations in which D-brane or string probes of a given classical space-time see the geometry quite differently than one might naively expect. In particular, situations in which extra dimensions, non-commutative geometries as well as other non-local structures emerge are explored in detail. Further, a preliminary exploration of such issues in Lorentzian space-times with non-trivial causal structures within string theory is initiated.},

doi = {10.2172/813395},

journal = {},

number = ,

volume = ,

place = {United States},

year = {Wed Jan 01 00:00:00 EST 2003},

month = {Wed Jan 01 00:00:00 EST 2003}

}

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