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 |
|---|---|---|---|---|---|---|---|---|---|
| 1652 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}M_{7}$ | 0.5358 | 0.673 | 0.7962 | [X:[1.4155], M:[0.9223, 1.2207, 0.5845, 0.8311, 0.7793, 1.1689, 0.8311], q:[0.8052, 0.2207], qb:[0.857, 0.5585], phi:[0.3896]] | [X:[[3]], M:[[-15], [4], [-3], [6], [-4], [-6], [6]], q:[[1], [4]], qb:[[11], [-8]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{1}$, ${ }q_{1}q_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{7}$, ${ }M_{5}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{7}q_{1}q_{2}$ | ${}$ | -3 | 2*t^2.338 + 2*t^2.493 + t^2.767 + t^3.078 + t^4.247 + t^4.402 + t^4.52 + 3*t^4.676 + 4*t^4.831 + 3*t^4.987 + t^5.105 + t^5.26 + 2*t^5.416 + t^5.534 + 2*t^5.571 - 3*t^6. - t^6.155 - t^6.274 + t^6.311 - t^6.429 + t^6.584 + 2*t^6.74 + 3*t^6.858 + t^6.895 + 5*t^7.013 + 4*t^7.169 + t^7.287 + 5*t^7.324 + t^7.442 + 4*t^7.48 + t^7.598 + 3*t^7.753 + t^7.871 + t^7.909 + t^8.027 + t^8.064 - t^8.182 + t^8.3 - 6*t^8.338 - 7*t^8.493 - t^8.611 + t^8.649 - 4*t^8.767 + 2*t^8.804 - t^8.922 - t^4.169/y - t^6.507/y - t^6.662/y - t^6.936/y + t^7.402/y + (2*t^7.676)/y + (5*t^7.831)/y + t^7.987/y + (2*t^8.105)/y + (2*t^8.26)/y + (2*t^8.416)/y + (2*t^8.571)/y - t^4.169*y - t^6.507*y - t^6.662*y - t^6.936*y + t^7.402*y + 2*t^7.676*y + 5*t^7.831*y + t^7.987*y + 2*t^8.105*y + 2*t^8.26*y + 2*t^8.416*y + 2*t^8.571*y | (2*t^2.338)/g1^4 + 2*g1^6*t^2.493 + t^2.767/g1^15 + g1^5*t^3.078 + g1^3*t^4.247 + g1^13*t^4.402 + t^4.52/g1^18 + (3*t^4.676)/g1^8 + 4*g1^2*t^4.831 + 3*g1^12*t^4.987 + t^5.105/g1^19 + t^5.26/g1^9 + 2*g1*t^5.416 + t^5.534/g1^30 + 2*g1^11*t^5.571 - 3*t^6. - g1^10*t^6.155 - t^6.274/g1^21 + g1^20*t^6.311 - t^6.429/g1^11 + t^6.584/g1 + 2*g1^9*t^6.74 + (3*t^6.858)/g1^22 + g1^19*t^6.895 + (5*t^7.013)/g1^12 + (4*t^7.169)/g1^2 + t^7.287/g1^33 + 5*g1^8*t^7.324 + t^7.442/g1^23 + 4*g1^18*t^7.48 + t^7.598/g1^13 + (3*t^7.753)/g1^3 + t^7.871/g1^34 + g1^7*t^7.909 + t^8.027/g1^24 + g1^17*t^8.064 - t^8.182/g1^14 + t^8.3/g1^45 - (6*t^8.338)/g1^4 - 7*g1^6*t^8.493 - t^8.611/g1^25 + g1^16*t^8.649 - (4*t^8.767)/g1^15 + 2*g1^26*t^8.804 - t^8.922/g1^5 - t^4.169/(g1^2*y) - t^6.507/(g1^6*y) - (g1^4*t^6.662)/y - t^6.936/(g1^17*y) + (g1^13*t^7.402)/y + (2*t^7.676)/(g1^8*y) + (5*g1^2*t^7.831)/y + (g1^12*t^7.987)/y + (2*t^8.105)/(g1^19*y) + (2*t^8.26)/(g1^9*y) + (2*g1*t^8.416)/y + (2*g1^11*t^8.571)/y - (t^4.169*y)/g1^2 - (t^6.507*y)/g1^6 - g1^4*t^6.662*y - (t^6.936*y)/g1^17 + g1^13*t^7.402*y + (2*t^7.676*y)/g1^8 + 5*g1^2*t^7.831*y + g1^12*t^7.987*y + (2*t^8.105*y)/g1^19 + (2*t^8.26*y)/g1^9 + 2*g1*t^8.416*y + 2*g1^11*t^8.571*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 |
|---|---|---|---|---|---|---|---|---|
| 4050 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}M_{7}$ + ${ }M_{1}M_{5}$ | 0.5067 | 0.6448 | 0.7857 | [X:[1.3684], M:[1.1579, 1.1579, 0.6316, 0.7368, 0.8421, 1.2632, 0.7368], q:[0.7895, 0.1579], qb:[0.6842, 0.6842], phi:[0.4211]] | 2*t^2.211 + 2*t^2.526 + t^2.842 + t^3.474 + t^3.789 + t^4.105 + 3*t^4.421 + 4*t^4.737 + 5*t^5.053 + 4*t^5.368 - t^6. - t^4.263/y - t^4.263*y | detail | {a: 27801/54872, c: 17691/27436, X1: 26/19, M1: 22/19, M2: 22/19, M3: 12/19, M4: 14/19, M5: 16/19, M6: 24/19, M7: 14/19, q1: 15/19, q2: 3/19, qb1: 13/19, qb2: 13/19, phi1: 8/19} |
| 4051 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}M_{7}$ + ${ }M_{4}q_{1}q_{2}$ | 0.5139 | 0.6503 | 0.7903 | [X:[1.4545], M:[0.7273, 1.2727, 0.5455, 0.9091, 0.7273, 1.0909, 0.9091], q:[0.8182, 0.2727], qb:[1.0, 0.4545], phi:[0.3636]] | 3*t^2.182 + 2*t^2.727 + t^3.273 + t^3.818 + 6*t^4.364 + 6*t^4.909 + 4*t^5.455 + 2*t^6. - t^4.091/y - t^4.091*y | detail | {a: 684/1331, c: 1731/2662, X1: 16/11, M1: 8/11, M2: 14/11, M3: 6/11, M4: 10/11, M5: 8/11, M6: 12/11, M7: 10/11, q1: 9/11, q2: 3/11, qb1: 1, qb2: 5/11, phi1: 4/11} |
| 4049 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ + ${ }M_{6}M_{7}$ + ${ }M_{8}q_{1}q_{2}$ | 0.5386 | 0.6779 | 0.7946 | [X:[1.4211], M:[0.8946, 1.2281, 0.5789, 0.8422, 0.7719, 1.1578, 0.8422, 0.9649], q:[0.807, 0.2281], qb:[0.8773, 0.5438], phi:[0.3859]] | 2*t^2.316 + 2*t^2.527 + t^2.684 + t^2.895 + t^4.263 + t^4.42 + t^4.474 + 3*t^4.631 + 4*t^4.842 + t^4.999 + 3*t^5.053 + 3*t^5.21 + t^5.367 + 2*t^5.421 + t^5.578 - 3*t^6. - t^4.158/y - t^4.158*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1061 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}X_{1}$ | 0.5217 | 0.6488 | 0.804 | [X:[1.4208], M:[0.8962, 1.2277, 0.5792, 0.8415, 0.7723, 1.1585], q:[0.8069, 0.2277], qb:[0.8761, 0.5447], phi:[0.3862]] | 2*t^2.317 + t^2.525 + t^2.689 + t^3.104 + t^3.475 + t^4.262 + t^4.426 + t^4.47 + 3*t^4.634 + 2*t^4.842 + t^5.006 + t^5.049 + t^5.377 + 2*t^5.421 + t^5.628 + 2*t^5.792 - 2*t^6. - t^4.158/y - t^4.158*y | detail |