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 |
|---|---|---|---|---|---|---|---|---|---|
| 47906 | SU3adj1nf2 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ | 1.3942 | 1.633 | 0.8537 | [M:[1.1779], q:[0.411, 0.389], qb:[0.411, 0.389], phi:[0.4]] | [M:[[1, 0, 1]], q:[[-1, -1, -1], [1, 0, 0]], qb:[[0, 1, 0], [0, 0, 1]], phi:[[0, 0, 0]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${2}\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ 2}\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ 3}\phi_{1}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$ | 6 | t^2.334 + 3*t^2.4 + 2*t^3.534 + 3*t^3.6 + t^3.666 + t^4.668 + 4*t^4.734 + 2*t^4.767 + 8*t^4.8 + 2*t^4.833 + t^4.866 + 2*t^5.868 + 7*t^5.934 + 2*t^5.967 + 6*t^6. + 2*t^6.033 + t^6.066 + t^7.001 + 7*t^7.068 + 4*t^7.101 + 14*t^7.134 + 8*t^7.167 + 19*t^7.2 + 6*t^7.233 + 3*t^7.266 + 2*t^7.299 + t^7.332 + 2*t^8.201 + 9*t^8.268 + 4*t^8.301 + 16*t^8.334 + 8*t^8.367 + 11*t^8.4 + 4*t^8.433 + 2*t^8.466 + t^8.532 - t^4.2/y - t^5.4/y - t^6.534/y - (3*t^6.6)/y + t^7.734/y + t^8.868/y + (4*t^8.934)/y - t^4.2*y - t^5.4*y - t^6.534*y - 3*t^6.6*y + t^7.734*y + t^8.868*y + 4*t^8.934*y | g1*g3*t^2.334 + t^2.4 + t^2.4/(g1*g2) + g1*g2*t^2.4 + 2*g1*g3*t^3.534 + t^3.6 + t^3.6/(g1*g2) + g1*g2*t^3.6 + t^3.666/(g1*g3) + g1^2*g3^2*t^4.668 + 2*g1*g3*t^4.734 + (g3*t^4.734)/g2 + g1^2*g2*g3*t^4.734 + (g1*t^4.767)/(g2*g3) + g2*g3^2*t^4.767 + 2*t^4.8 + t^4.8/(g1^2*g2^2) + (2*t^4.8)/(g1*g2) + 2*g1*g2*t^4.8 + g1^2*g2^2*t^4.8 + t^4.833/(g1*g2^2*g3^2) + g2^2*g3*t^4.833 + t^4.866/(g1*g3) + 2*g1^2*g3^2*t^5.868 + 3*g1*g3*t^5.934 + (2*g3*t^5.934)/g2 + 2*g1^2*g2*g3*t^5.934 + (g1*t^5.967)/(g2*g3) + g2*g3^2*t^5.967 + t^6./(g1^2*g2^2) + (2*t^6.)/(g1*g2) + 2*g1*g2*t^6. + g1^2*g2^2*t^6. + t^6.033/(g1*g2^2*g3^2) + g2^2*g3*t^6.033 + t^6.066/(g1*g3) + g1^3*g3^3*t^7.001 + 5*g1^2*g3^2*t^7.068 + (g1*g3^2*t^7.068)/g2 + g1^3*g2*g3^2*t^7.068 + g1^3*t^7.101 + (g1^2*t^7.101)/g2 + g3^3*t^7.101 + g1*g2*g3^3*t^7.101 + 4*g1*g3*t^7.134 + (g3*t^7.134)/(g1*g2^2) + (4*g3*t^7.134)/g2 + 4*g1^2*g2*g3*t^7.134 + g1^3*g2^2*g3*t^7.134 + (g1^2*t^7.167)/g3 + t^7.167/(g2^2*g3) + (2*g1*t^7.167)/(g2*g3) + (g3^2*t^7.167)/g1 + 2*g2*g3^2*t^7.167 + g1*g2^2*g3^2*t^7.167 + 5*t^7.2 + t^7.2/(g1^3*g2^3) + (3*t^7.2)/(g1^2*g2^2) + (3*t^7.2)/(g1*g2) + 3*g1*g2*t^7.2 + 3*g1^2*g2^2*t^7.2 + g1^3*g2^3*t^7.2 + t^7.233/(g1^2*g2^3*g3^2) + (2*t^7.233)/(g1*g2^2*g3^2) + 2*g2^2*g3*t^7.233 + g1*g2^3*g3*t^7.233 + t^7.266/(g1*g3) + t^7.266/(g1^2*g2*g3) + (g2*t^7.266)/g3 + g2^3*t^7.299 + t^7.299/(g1^3*g2^3*g3^3) + t^7.332/(g1^2*g3^2) + 2*g1^3*g3^3*t^8.201 + 5*g1^2*g3^2*t^8.268 + (2*g1*g3^2*t^8.268)/g2 + 2*g1^3*g2*g3^2*t^8.268 + (2*g1^2*t^8.301)/g2 + 2*g1*g2*g3^3*t^8.301 + 2*g1*g3*t^8.334 + (2*g3*t^8.334)/(g1*g2^2) + (5*g3*t^8.334)/g2 + 5*g1^2*g2*g3*t^8.334 + 2*g1^3*g2^2*g3*t^8.334 + (g1^2*t^8.367)/g3 + (2*t^8.367)/(g2^2*g3) + (g1*t^8.367)/(g2*g3) + (g3^2*t^8.367)/g1 + g2*g3^2*t^8.367 + 2*g1*g2^2*g3^2*t^8.367 + 3*t^8.4 + t^8.4/(g1^3*g2^3) + (3*t^8.4)/(g1^2*g2^2) + 3*g1^2*g2^2*t^8.4 + g1^3*g2^3*t^8.4 + t^8.433/(g1^2*g2^3*g3^2) + t^8.433/(g1*g2^2*g3^2) + g2^2*g3*t^8.433 + g1*g2^3*g3*t^8.433 + t^8.466/(g1^2*g2*g3) + (g2*t^8.466)/g3 + t^8.532/(g1^2*g3^2) - t^4.2/y - t^5.4/y - (g1*g3*t^6.534)/y - t^6.6/y - t^6.6/(g1*g2*y) - (g1*g2*t^6.6)/y - (g1*g3*t^7.734)/y + (g3*t^7.734)/(g2*y) + (g1^2*g2*g3*t^7.734)/y + (g1^2*g3^2*t^8.868)/y + (2*g3*t^8.934)/(g2*y) + (2*g1^2*g2*g3*t^8.934)/y - t^4.2*y - t^5.4*y - g1*g3*t^6.534*y - t^6.6*y - (t^6.6*y)/(g1*g2) - g1*g2*t^6.6*y - g1*g3*t^7.734*y + (g3*t^7.734*y)/g2 + g1^2*g2*g3*t^7.734*y + g1^2*g3^2*t^8.868*y + (2*g3*t^8.934*y)/g2 + 2*g1^2*g2*g3*t^8.934*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 |
|---|---|---|---|---|---|---|---|---|
| 57446 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ | 1.3777 | 1.604 | 0.8589 | [M:[1.1779, 1.2], q:[0.411, 0.389], qb:[0.411, 0.389], phi:[0.4]] | t^2.334 + 2*t^2.4 + 2*t^3.534 + 4*t^3.6 + t^3.666 + t^4.668 + 3*t^4.734 + 2*t^4.767 + 5*t^4.8 + 2*t^4.833 + t^4.866 + 2*t^5.868 + 6*t^5.934 + 2*t^5.967 + 5*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | |
| 57448 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{3}$ | 1.4107 | 1.662 | 0.8488 | [M:[1.1779, 0.8], q:[0.411, 0.389], qb:[0.411, 0.389], phi:[0.4]] | t^2.334 + 4*t^2.4 + 2*t^3.534 + 2*t^3.6 + t^3.666 + t^4.668 + 5*t^4.734 + 2*t^4.767 + 12*t^4.8 + 2*t^4.833 + t^4.866 + 2*t^5.868 + 8*t^5.934 + 2*t^5.967 + 5*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | |
| 57447 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.3783 | 1.6061 | 0.8582 | [M:[1.1779, 1.1779], q:[0.3998, 0.3998], qb:[0.4223, 0.3781], phi:[0.4]] | 2*t^2.334 + t^2.4 + 4*t^3.534 + t^3.6 + 2*t^3.666 + 3*t^4.668 + 4*t^4.734 + t^4.736 + 2*t^4.798 + t^4.8 + 2*t^4.866 + t^4.868 + 7*t^5.868 + 6*t^5.934 + t^5.936 + 2*t^5.998 - t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | |
| 57445 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ | 1.377 | 1.602 | 0.8596 | [M:[1.2, 1.2], q:[0.4, 0.4], qb:[0.4, 0.4], phi:[0.4]] | 3*t^2.4 + 7*t^3.6 + 14*t^4.8 + 17*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 1377/1000, c: 801/500, M1: 6/5, M2: 6/5, q1: 2/5, q2: 2/5, qb1: 2/5, qb2: 2/5, phi1: 2/5} |
| 57443 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}q_{2}\tilde{q}_{2}^{2}$ | 1.3938 | 1.632 | 0.8541 | [M:[1.1896], q:[0.4105, 0.3896], qb:[0.4, 0.4], phi:[0.4]] | 2*t^2.369 + t^2.4 + t^2.431 + 3*t^3.569 + t^3.6 + 2*t^3.631 + 3*t^4.737 + 5*t^4.769 + 5*t^4.8 + 3*t^4.831 + t^4.832 + t^4.863 + 5*t^5.937 + 6*t^5.969 + 4*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | |
| 57440 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.3049 | 1.5377 | 0.8486 | [M:[1.2745], q:[0.4283, 0.5858], qb:[0.2971, 0.2887], phi:[0.4]] | t^2.151 + t^2.4 + t^2.624 + t^2.649 + t^3.351 + t^3.376 + t^3.6 + 3*t^3.824 + 2*t^3.849 + t^4.302 + 2*t^4.551 + t^4.576 + t^4.775 + 2*t^4.8 + 3*t^5.024 + 3*t^5.049 + t^5.247 + t^5.273 + t^5.298 + t^5.502 + t^5.527 + 2*t^5.751 + t^5.776 + 3*t^5.975 + t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | |
| 57441 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.3154 | 1.5597 | 0.8434 | [M:[1.0922], q:[0.597, 0.4059], qb:[0.3107, 0.2863], phi:[0.4]] | t^2.077 + t^2.15 + t^2.4 + t^2.65 + 2*t^3.277 + t^3.35 + t^3.6 + 2*t^3.85 + 2*t^3.923 + t^4.153 + t^4.227 + t^4.3 + 2*t^4.477 + 2*t^4.55 + t^4.727 + 2*t^4.8 + 3*t^5.05 + 2*t^5.123 + t^5.3 + 2*t^5.353 + 3*t^5.427 + t^5.5 + 3*t^5.677 + 2*t^5.75 + 3*t^5.927 + 2*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | |
| 57444 | ${}\phi_{1}^{5}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{1}q_{2}^{2}$ | 1.3941 | 1.6328 | 0.8538 | [M:[1.1802], q:[0.412, 0.394], qb:[0.4079, 0.3861], phi:[0.4]] | t^2.34 + t^2.394 + t^2.4 + t^2.406 + 2*t^3.54 + t^3.594 + t^3.6 + t^3.606 + t^3.66 + t^4.681 + t^4.735 + 3*t^4.74 + t^4.746 + t^4.789 + 2*t^4.794 + 3*t^4.8 + 3*t^4.806 + t^4.811 + t^4.854 + t^4.86 + 2*t^5.881 + 2*t^5.935 + 4*t^5.94 + 2*t^5.946 + t^5.989 + 2*t^5.994 + t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47871 | SU3adj1nf2 | ${}\phi_{1}^{5}$ | 1.41 | 1.66 | 0.8494 | [q:[0.4, 0.4], qb:[0.4, 0.4], phi:[0.4]] | 5*t^2.4 + 5*t^3.6 + 23*t^4.8 + 21*t^6. - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | {a: 141/100, c: 83/50, q1: 2/5, q2: 2/5, qb1: 2/5, qb2: 2/5, phi1: 2/5} |