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 |
|---|---|---|---|---|---|---|---|---|---|
| 3686 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6389 | 0.7907 | 0.808 | [X:[1.6197, 1.3382], M:[0.8592, 0.6618, 1.1408, 0.3803, 0.7605, 0.7111], q:[0.4049, 0.7358], qb:[0.4543, 0.8839], phi:[0.3803]] | [X:[[4], [28]], M:[[12], [-28], [-12], [-4], [-8], [-18]], q:[[1], [-13]], qb:[[11], [17]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }X_{2}$, ${ }M_{6}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | ${}$ | -1 | t^2.133 + 2*t^2.282 + t^2.578 + t^3.422 + 2*t^3.57 + t^3.867 + t^4.015 + t^4.267 + 2*t^4.415 + 3*t^4.563 + t^4.711 + 3*t^4.859 + t^5.155 + t^5.556 + 3*t^5.704 + 2*t^5.852 - t^6. + 3*t^6.148 + t^6.296 + t^6.4 + t^6.444 + 2*t^6.548 + t^6.592 + 3*t^6.696 + 5*t^6.845 + 3*t^6.993 + 5*t^7.141 - 2*t^7.289 + 2*t^7.437 + t^7.689 + t^7.733 + 3*t^7.837 + t^7.881 + 3*t^7.985 + t^8.029 + t^8.133 - t^8.282 + 2*t^8.43 + t^8.534 - 2*t^8.578 + 2*t^8.682 + 2*t^8.726 + 3*t^8.83 + t^8.874 + 5*t^8.978 - t^4.141/y - t^6.274/y - (2*t^6.422)/y + (2*t^7.415)/y + t^7.563/y + t^7.711/y + (4*t^7.859)/y + t^8.007/y - t^8.408/y - t^8.556/y + t^8.704/y + (4*t^8.852)/y - t^4.141*y - t^6.274*y - 2*t^6.422*y + 2*t^7.415*y + t^7.563*y + t^7.711*y + 4*t^7.859*y + t^8.007*y - t^8.408*y - t^8.556*y + t^8.704*y + 4*t^8.852*y | t^2.133/g1^18 + (2*t^2.282)/g1^8 + g1^12*t^2.578 + t^3.422/g1^12 + (2*t^3.57)/g1^2 + g1^18*t^3.867 + g1^28*t^4.015 + t^4.267/g1^36 + (2*t^4.415)/g1^26 + (3*t^4.563)/g1^16 + t^4.711/g1^6 + 3*g1^4*t^4.859 + g1^24*t^5.155 + t^5.556/g1^30 + (3*t^5.704)/g1^20 + (2*t^5.852)/g1^10 - t^6. + 3*g1^10*t^6.148 + g1^20*t^6.296 + t^6.4/g1^54 + g1^30*t^6.444 + (2*t^6.548)/g1^44 + g1^40*t^6.592 + (3*t^6.696)/g1^34 + (5*t^6.845)/g1^24 + (3*t^6.993)/g1^14 + (5*t^7.141)/g1^4 - 2*g1^6*t^7.289 + 2*g1^16*t^7.437 + t^7.689/g1^48 + g1^36*t^7.733 + (3*t^7.837)/g1^38 + g1^46*t^7.881 + (3*t^7.985)/g1^28 + g1^56*t^8.029 + t^8.133/g1^18 - t^8.282/g1^8 + 2*g1^2*t^8.43 + t^8.534/g1^72 - 2*g1^12*t^8.578 + (2*t^8.682)/g1^62 + 2*g1^22*t^8.726 + (3*t^8.83)/g1^52 + g1^32*t^8.874 + (5*t^8.978)/g1^42 - t^4.141/(g1^4*y) - t^6.274/(g1^22*y) - (2*t^6.422)/(g1^12*y) + (2*t^7.415)/(g1^26*y) + t^7.563/(g1^16*y) + t^7.711/(g1^6*y) + (4*g1^4*t^7.859)/y + (g1^14*t^8.007)/y - t^8.408/(g1^40*y) - t^8.556/(g1^30*y) + t^8.704/(g1^20*y) + (4*t^8.852)/(g1^10*y) - (t^4.141*y)/g1^4 - (t^6.274*y)/g1^22 - (2*t^6.422*y)/g1^12 + (2*t^7.415*y)/g1^26 + (t^7.563*y)/g1^16 + (t^7.711*y)/g1^6 + 4*g1^4*t^7.859*y + g1^14*t^8.007*y - (t^8.408*y)/g1^40 - (t^8.556*y)/g1^30 + (t^8.704*y)/g1^20 + (4*t^8.852*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3957 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{7}$ | 0.6518 | 0.8129 | 0.8018 | [X:[1.6149, 1.3042], M:[0.8446, 0.6958, 1.1554, 0.3851, 0.7702, 0.733, 0.8446], q:[0.4037, 0.7516], qb:[0.4409, 0.8633], phi:[0.3851]] | t^2.199 + 2*t^2.311 + 2*t^2.534 + 2*t^3.578 + t^3.801 + t^3.913 + t^4.398 + 2*t^4.51 + 3*t^4.621 + 2*t^4.733 + 5*t^4.845 + 3*t^5.068 + t^5.777 + 2*t^5.888 - 2*t^6. - t^4.155/y - t^4.155*y | detail | |
| 3954 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{7}$ | 0.6187 | 0.7531 | 0.8216 | [X:[1.6168, 1.3176], M:[0.8504, 0.6824, 1.1496, 0.3832, 0.7664, 0.7244, 1.2756], q:[0.4042, 0.7454], qb:[0.4462, 0.8714], phi:[0.3832]] | 2*t^2.299 + t^2.551 + t^3.449 + 2*t^3.575 + 2*t^3.827 + t^3.953 + 3*t^4.598 + 3*t^4.85 + t^5.102 + t^5.748 + 2*t^5.874 - 2*t^6. - t^4.15/y - t^4.15*y | detail | |
| 3959 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6593 | 0.8299 | 0.7944 | [X:[1.6217, 1.3516], M:[0.865, 0.6484, 1.135, 0.3783, 0.7567, 0.7026, 0.7026], q:[0.4054, 0.7296], qb:[0.4595, 0.892], phi:[0.3783]] | 2*t^2.108 + 2*t^2.27 + t^2.595 + t^3.405 + 2*t^3.568 + t^4.055 + 3*t^4.215 + 4*t^4.378 + 3*t^4.54 + 2*t^4.703 + 3*t^4.865 + t^5.19 + 2*t^5.513 + 5*t^5.675 + 2*t^5.838 - 2*t^6. - t^4.135/y - t^4.135*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3263 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{2}$ | 0.639 | 0.7917 | 0.8072 | [X:[1.6191, 1.3335], M:[0.8572, 0.6665, 1.1428, 0.3809, 0.7619, 0.7002], q:[0.4117, 0.7311], qb:[0.4455, 0.888], phi:[0.3809]] | t^2.101 + 2*t^2.286 + t^2.572 + t^3.428 + t^3.53 + t^3.613 + t^3.816 + t^4. + t^4.201 + 2*t^4.386 + 3*t^4.571 + t^4.672 + 3*t^4.857 + t^5.143 + t^5.529 + t^5.63 + 2*t^5.714 + t^5.815 + t^5.899 + t^5.916 - 2*t^6. - t^4.143/y - t^4.143*y | detail |