How can two time theories be compactified to 3+1 without any Kaluza-Klein remnants

Question

I have recently been looking into the two-time theories and the implied concepts.

For me this seems slightly hard to grasp.

How can I see the basic concept in this theory in a fundamental way based on its implied interaction with normal 3+1 dimension?

I am interested specifically in how gauge symmetries that effectively reduce 2T-physics in 4+2 dimensions to 1T-physics in 3+1 dimensions without any Kaluza-Klein remnants.

This post imported from StackExchange Physics at 2014-03-17 04:24 (UCT), posted by SE-user Argus

Comments

Possible duplicates: physics.stackexchange.com/q/43322/2451 and links therein.

This post imported from StackExchange Physics at 2014-03-17 04:24 (UCT), posted by SE-user Qmechanic

---

@Qmechanic I think this question is a bit different and more specific than the other one, at least the last paragraph. And it seems to be asking about technical details.

This post imported from StackExchange Physics at 2014-03-17 04:24 (UCT), posted by SE-user Dilaton

---

This article here possibly says something about it, in particular the papers explained therein. But I have just detected and not yet read it.

This post imported from StackExchange Physics at 2014-03-17 04:24 (UCT), posted by SE-user Dilaton

---

Here is another reference.

This post imported from StackExchange Physics at 2014-03-17 04:24 (UCT), posted by SE-user Dilaton

---

"slightly hard to grasp." My friend, if you have understood one time dimension, you are already a king among physicists.

This post imported from StackExchange Physics at 2014-03-17 04:24 (UCT), posted by SE-user kηives

---

Great comments if someone could combine them into a coherent and collective answer that would be great. If I have the time tonight, I will try to do this myself.

This post imported from StackExchange Physics at 2014-03-17 04:24 (UCT), posted by SE-user Argus

---

@Argus, yeah to make a real answer would take me some time I guess, so you might be faster than I. The title of the question seems a little bit strange to me, this is probably what mislead Qmechanic to say it is a duplicat ... Should it not rather how can theories with two time dimensions be compactified such that our 3+1 spacetime emerges, or something along thes lines? This is just a thought ...

This post imported from StackExchange Physics at 2014-03-17 04:24 (UCT), posted by SE-user Dilaton

---

Aren't two-time theories inconsistent? Certainly, I would think you would run into a lot of problems if the two time evolution generators don't commute. I think you're going to run into a lot of problems with the compactified theory if you don't already understand the non-compactified theory.

This post imported from StackExchange Physics at 2014-03-17 04:24 (UCT), posted by SE-user Jerry Schirmer

---

@Jerry No, theories with two time dimensions can be ok if these are only infinitesimal, such as applied in Cumrun Vafa's F-theory for example. If they were macroscopic there would of course be large problems.

This post imported from StackExchange Physics at 2014-03-17 04:24 (UCT), posted by SE-user Dilaton

---

@jerry next time, use the comments area for stuff which doesn't answer the question.. :)

This post imported from StackExchange Physics at 2014-03-17 04:24 (UCT), posted by SE-user Manishearth

---

Dear @Nemo: not that it matters now, but for the record: the question(v2) was a duplicate. OP later included his main question(v3). See the edit history.

This post imported from StackExchange Physics at 2014-03-17 04:24 (UCT), posted by SE-user Qmechanic

Answer 1

In this blog post, a paper that derives by dimensional reduction well known super Yang-Mills (SYM) theories, such as N=1 SYM in 9+1 dimensions and N=4 SYM in 3+1 dimensions among other things using a SYM theory in 10+2 dimensions as a common more fundamental underlying theory.

As can be seen from looking at figure 1 of that paper

As stated below equation (3.1), if applying the method of deriving shadows of two time physics to obtain lower dimensional theories, Kaluza-Klein are avoided.