# Higher dimensional curved domain walls on Kähler surfaces

## Abstract

In this paper we study some aspects of curved BPS-like domain walls in higher dimensional gravity theory coupled to scalars where the scalars span a complex Kähler surface with scalar potential turned on. Assuming that a fake superpotential has a special form which depends on Kähler potential and a holomorphic function, we prove that BPS-like equations have a local unique solution. Then, we analyze the vacuum structure of the theory including their stability using dynamical system and their existence in ultraviolet-infrared regions using renormalization group flow.

- Authors:

- Theoretical Physics Laboratory, Theoretical High Energy Physics and Instrumentation Research Group, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung, Jl. Ganesha no. 10 Bandung, 40132 (Indonesia)
- (Indonesia)

- Publication Date:

- OSTI Identifier:
- 22617477

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Annals of Physics; Journal Volume: 378; Other Information: Copyright (c) 2017 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; GRAVITATION; MANY-DIMENSIONAL CALCULATIONS; MATHEMATICAL SOLUTIONS; RENORMALIZATION

### Citation Formats

```
Akbar, Fiki T., E-mail: ftakbar@fi.itb.ac.id, Gunara, Bobby E., E-mail: bobby@fi.itb.ac.id, Radjabaycolle, Flinn C., Departement of Physics, Faculty of Mathematics and Natural Sciences, Cendrawasih University, Jl. Kampwolker Kampus Uncen Baru Waena-Jayapura 99351, and Wijaya, Rio N..
```*Higher dimensional curved domain walls on Kähler surfaces*. United States: N. p., 2017.
Web. doi:10.1016/J.AOP.2017.01.028.

```
Akbar, Fiki T., E-mail: ftakbar@fi.itb.ac.id, Gunara, Bobby E., E-mail: bobby@fi.itb.ac.id, Radjabaycolle, Flinn C., Departement of Physics, Faculty of Mathematics and Natural Sciences, Cendrawasih University, Jl. Kampwolker Kampus Uncen Baru Waena-Jayapura 99351, & Wijaya, Rio N..
```*Higher dimensional curved domain walls on Kähler surfaces*. United States. doi:10.1016/J.AOP.2017.01.028.

```
Akbar, Fiki T., E-mail: ftakbar@fi.itb.ac.id, Gunara, Bobby E., E-mail: bobby@fi.itb.ac.id, Radjabaycolle, Flinn C., Departement of Physics, Faculty of Mathematics and Natural Sciences, Cendrawasih University, Jl. Kampwolker Kampus Uncen Baru Waena-Jayapura 99351, and Wijaya, Rio N.. Wed .
"Higher dimensional curved domain walls on Kähler surfaces". United States.
doi:10.1016/J.AOP.2017.01.028.
```

```
@article{osti_22617477,
```

title = {Higher dimensional curved domain walls on Kähler surfaces},

author = {Akbar, Fiki T., E-mail: ftakbar@fi.itb.ac.id and Gunara, Bobby E., E-mail: bobby@fi.itb.ac.id and Radjabaycolle, Flinn C. and Departement of Physics, Faculty of Mathematics and Natural Sciences, Cendrawasih University, Jl. Kampwolker Kampus Uncen Baru Waena-Jayapura 99351 and Wijaya, Rio N.},

abstractNote = {In this paper we study some aspects of curved BPS-like domain walls in higher dimensional gravity theory coupled to scalars where the scalars span a complex Kähler surface with scalar potential turned on. Assuming that a fake superpotential has a special form which depends on Kähler potential and a holomorphic function, we prove that BPS-like equations have a local unique solution. Then, we analyze the vacuum structure of the theory including their stability using dynamical system and their existence in ultraviolet-infrared regions using renormalization group flow.},

doi = {10.1016/J.AOP.2017.01.028},

journal = {Annals of Physics},

number = ,

volume = 378,

place = {United States},

year = {Wed Mar 15 00:00:00 EDT 2017},

month = {Wed Mar 15 00:00:00 EDT 2017}

}

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