Chosen Fixed Point
Here is the data for the chosen fixed point.
$F_{UV}$ represents the flavor symmetries in the UV Lagrangian, and $F_{IR}$ represents the flavor symmetries in the IR. $F_{UV}$ and $F_{IR}$ can differ due to accidental symmetry enhancement.
The number of marginal operators, $n_{marginal}$, minus the dimension of flavor symmetries in IR, $|F_{IR}|$, corresponds to the coefficient of $t^6$ in the superconformal index.
| # | Theory | Superpotential | Central charge $a$ | Central charge $c$ | Ratio $a/c$ | Matter field: $R$-charge | U(1) part of $F_{UV}$ | Rank of $F_{UV}$ | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 46203 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 0.5568 | 0.7209 | 0.7723 | [M:[1.0504, 0.7481, 0.9496], q:[0.7626, 0.187], qb:[0.4893, 0.6618], phi:[0.4748]] | [M:[[-4], [20], [4]], q:[[-1], [5]], qb:[[-19], [7]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}\phi_{1}^{2}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.029 + t^2.244 + 2*t^2.547 + 2*t^2.849 + 2*t^3.453 + t^3.971 + t^4.058 + 2*t^4.273 + t^4.36 + t^4.489 + t^4.576 + 2*t^4.791 + 3*t^4.878 + 4*t^5.093 + 5*t^5.395 + t^5.482 + 3*t^5.698 + t^6.087 + t^6.215 + 3*t^6.302 + t^6.389 + 2*t^6.518 + t^6.733 + 3*t^6.82 + 4*t^6.907 + 2*t^7.035 + 3*t^7.122 + t^7.209 + 4*t^7.337 + t^7.424 + 7*t^7.64 + 3*t^7.727 + 2*t^7.814 + 8*t^7.942 - 3*t^8.029 + t^8.116 + 4*t^8.244 + 2*t^8.331 + t^8.418 + t^8.46 - t^8.547 + t^8.721 + 2*t^8.762 - 3*t^8.849 + 2*t^8.936 + t^8.977 - t^4.424/y - t^6.669/y + (3*t^7.576)/y + (2*t^7.791)/y + (2*t^7.878)/y + (3*t^8.093)/y + t^8.18/y + (4*t^8.395)/y + (2*t^8.482)/y + (3*t^8.698)/y - t^8.913/y - t^4.424*y - t^6.669*y + 3*t^7.576*y + 2*t^7.791*y + 2*t^7.878*y + 3*t^8.093*y + t^8.18*y + 4*t^8.395*y + 2*t^8.482*y + 3*t^8.698*y - t^8.913*y | t^2.029/g1^14 + g1^20*t^2.244 + 2*g1^12*t^2.547 + 2*g1^4*t^2.849 + (2*t^3.453)/g1^12 + g1^14*t^3.971 + t^4.058/g1^28 + 2*g1^6*t^4.273 + t^4.36/g1^36 + g1^40*t^4.489 + t^4.576/g1^2 + 2*g1^32*t^4.791 + (3*t^4.878)/g1^10 + 4*g1^24*t^5.093 + 5*g1^16*t^5.395 + t^5.482/g1^26 + 3*g1^8*t^5.698 + t^6.087/g1^42 + g1^34*t^6.215 + (3*t^6.302)/g1^8 + t^6.389/g1^50 + 2*g1^26*t^6.518 + g1^60*t^6.733 + 3*g1^18*t^6.82 + (4*t^6.907)/g1^24 + 2*g1^52*t^7.035 + 3*g1^10*t^7.122 + t^7.209/g1^32 + 4*g1^44*t^7.337 + g1^2*t^7.424 + 7*g1^36*t^7.64 + (3*t^7.727)/g1^6 + (2*t^7.814)/g1^48 + 8*g1^28*t^7.942 - (3*t^8.029)/g1^14 + t^8.116/g1^56 + 4*g1^20*t^8.244 + (2*t^8.331)/g1^22 + t^8.418/g1^64 + g1^54*t^8.46 - g1^12*t^8.547 + t^8.721/g1^72 + 2*g1^46*t^8.762 - 3*g1^4*t^8.849 + (2*t^8.936)/g1^38 + g1^80*t^8.977 - (g1^2*t^4.424)/y - (g1^22*t^6.669)/y + (3*t^7.576)/(g1^2*y) + (2*g1^32*t^7.791)/y + (2*t^7.878)/(g1^10*y) + (3*g1^24*t^8.093)/y + t^8.18/(g1^18*y) + (4*g1^16*t^8.395)/y + (2*t^8.482)/(g1^26*y) + (3*g1^8*t^8.698)/y - (g1^42*t^8.913)/y - g1^2*t^4.424*y - g1^22*t^6.669*y + (3*t^7.576*y)/g1^2 + 2*g1^32*t^7.791*y + (2*t^7.878*y)/g1^10 + 3*g1^24*t^8.093*y + (t^8.18*y)/g1^18 + 4*g1^16*t^8.395*y + (2*t^8.482*y)/g1^26 + 3*g1^8*t^8.698*y - g1^42*t^8.913*y |
Deformation
Here is the data for the deformed fixed points from the chosen fixed point.
| # | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|
| 46652 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.5776 | 0.7619 | 0.758 | [M:[1.0501, 0.7495, 0.9499, 0.6753], q:[0.7625, 0.1874], qb:[0.4879, 0.6623], phi:[0.475]] | 2*t^2.026 + t^2.249 + 2*t^2.549 + 2*t^2.85 + 2*t^3.451 + 3*t^4.052 + 3*t^4.275 + t^4.352 + t^4.497 + 3*t^4.575 + 2*t^4.798 + 5*t^4.876 + 4*t^5.098 + 5*t^5.399 + 3*t^5.477 + 3*t^5.699 - t^6. - t^4.425/y - t^4.425*y | detail | |
| 46528 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ | 0.5704 | 0.7452 | 0.7654 | [M:[1.0541, 0.7295, 0.9459, 0.8377], q:[0.7635, 0.1824], qb:[0.507, 0.6553], phi:[0.473]] | t^2.068 + t^2.189 + 3*t^2.513 + 2*t^2.838 + t^3.487 + t^3.932 + t^4.136 + 2*t^4.257 + t^4.377 + t^4.461 + 2*t^4.581 + 3*t^4.702 + 3*t^4.906 + 7*t^5.026 + 7*t^5.351 + 2*t^5.675 - t^6. - t^4.419/y - t^4.419*y | detail | |
| 46664 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}X_{1}$ | 0.5167 | 0.6609 | 0.7818 | [X:[1.3846], M:[1.0769, 0.6154, 0.9231], q:[0.7692, 0.1538], qb:[0.6154, 0.6154], phi:[0.4615]] | 3*t^2.308 + 2*t^2.769 + 3*t^3.692 + 2*t^4.154 + 4*t^4.615 + 9*t^5.077 + t^5.538 + t^6. - t^4.385/y - t^4.385*y | detail | {a: 9081/17576, c: 1452/2197, X1: 18/13, M1: 14/13, M2: 8/13, M3: 12/13, q1: 10/13, q2: 2/13, qb1: 8/13, qb2: 8/13, phi1: 6/13} |
Equivalent Fixed Points from Other Seed Theories
Here is a list of equivalent fixed points from other gauge theories.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|
Equivalent Fixed Points from the Same Seed Theory
Below is a list of equivalent fixed points from the same seed theories.
| id | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | More Info. | Rational |
|---|
Previous Theory
The previous fixed point before deforming to get the chosen fixed point.
| # | Theory | Superpotential | Central Charge $a$ | Central Charge $c$ | Ratio $a/c$ | $R$-charges | Superconformal Index | More Info. | Rational |
|---|---|---|---|---|---|---|---|---|---|
| 45993 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{1}M_{3}$ | 0.6106 | 0.7847 | 0.7781 | [M:[0.972, 0.7842, 1.028], q:[0.743, 0.285], qb:[0.4729, 0.4431], phi:[0.514]] | t^2.184 + t^2.274 + t^2.352 + t^2.748 + 2*t^3.084 + t^3.252 + t^3.558 + t^3.726 + t^3.816 + t^4.201 + t^4.29 + t^4.369 + t^4.379 + t^4.458 + t^4.537 + t^4.547 + t^4.626 + t^4.705 + t^4.932 + t^5.021 + t^5.1 + 2*t^5.268 + 2*t^5.358 + 2*t^5.437 + t^5.496 + t^5.605 + t^5.743 + 2*t^5.832 + t^5.911 - t^6. - t^4.542/y - t^4.542*y | detail |