Exploring Vibrating Strings and Branes for String Theory Testing

In summary, the conversation covers the description of vibrating strings and branes, the connection with the vibration of circular or quadratic membranes and the PDE Helmholtz equation, and the testing of string theory through experiments. It is explained that vibrating strings are described in terms of a 2-dimensional conformal field theory on the string worldsheet. The discussion also touches on the lack of unique predictions in string theory and the potential discovery of supersymmetric particles at the LHC. The conversation then explores the equation of a drum and whether string theory has similar equations. The speaker also asks for instruction on how to write the action on worldsheets.
  • #1
Saturnine
9
0
How do we describe vibrating strinGs and branes?
Is this connected with vibration of circular or quadratic membrane and PDE Helmholtz equation and how?

How to test string theory in experiments?
 
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  • #2
Vibrating strings are described in terms of a 2-dimensional conformal field theory on the string worldsheet. In English: a worldsheet is the 2-dimensional surface swept out by a 1-dimensional string as it moves through spacetime. The fields themselves are the quantized coordinates of the string; the field excitations are manifested as vibrations of the string.

AFAIK, string theory so far does not offer any unique predictions. However, the discovery of supersymmetric particles at the LHC would be an interesting development.
 
  • #3
Does it action on worldsheet define a vibration ?

Does it worldsheet locally shape like this
Drum_vibration_mode23.gif

or like this
[URL]http://upload.wikimedia.org/wikipedia/commons/3/37/Shallow_water_waves.gif[/URL]
This is a equation of drum from wikipedia.
[URL]http://upload.wikimedia.org/math/1/0/8/1083913777d1496bb81c66ca91903206.png[/URL]
Does String theory has such equations?
Can you instruct me how to learn to write action on worldsheets?
 
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  • #4
Essentially. The vibrations are plane waves.
 

FAQ: Exploring Vibrating Strings and Branes for String Theory Testing

What are vibrating strings?

Vibrating strings are thin, flexible objects that produce sound when they are plucked, struck, or bowed. They are commonly found in musical instruments such as guitars, violins, and pianos.

How do vibrating strings produce sound?

When a string is disturbed, it begins to vibrate at a certain frequency. This vibration creates waves in the air, which we perceive as sound. The frequency of the vibration determines the pitch of the sound produced.

What factors affect the vibration of a string?

The vibration of a string is affected by its tension, length, and density. A string with higher tension will vibrate at a higher frequency, while a longer and thicker string will vibrate at a lower frequency.

Can vibrating strings produce different types of sounds?

Yes, vibrating strings can produce different types of sounds depending on how they are played. Plucking a string will produce a sharp, percussive sound, while bowing a string will produce a sustained, smooth sound.

Are there any practical applications of vibrating strings?

Vibrating strings have many practical applications, such as in musical instruments, acoustic devices, and engineering structures. They are also used in scientific experiments to study the properties of waves and sound.

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