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 |
|---|---|---|---|---|---|---|---|---|---|
| 4422 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6666 | 0.8467 | 0.7873 | [M:[0.7168, 1.0411, 1.2009, 1.1187, 0.7991, 0.8813, 1.0364, 0.7215], q:[0.5229, 0.7603], qb:[0.3584, 0.4407], phi:[0.4794]] | [M:[[-34], [12], [10], [-14], [-10], [14], [-38], [16]], q:[[31], [3]], qb:[[-17], [7]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }M_{8}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{8}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{8}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{6}M_{8}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{7}$, ${ }M_{1}M_{2}$, ${ }M_{7}M_{8}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{8}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}M_{7}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{8}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{3}M_{8}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | ${}$ | -1 | t^2.15 + t^2.165 + t^2.397 + t^2.644 + t^3.109 + t^3.123 + t^3.356 + t^3.589 + t^3.603 + 2*t^4.082 + t^4.301 + t^4.315 + 2*t^4.329 + t^4.547 + t^4.562 + t^4.576 + 2*t^4.794 + t^4.809 + t^5.041 + t^5.26 + 2*t^5.274 + 2*t^5.288 + t^5.506 + 2*t^5.521 + t^5.739 + 2*t^5.753 + 2*t^5.767 + t^5.986 - t^6. + t^6.218 + 3*t^6.233 + t^6.247 + t^6.451 + 2*t^6.465 + 3*t^6.479 + t^6.494 + 2*t^6.698 + 2*t^6.712 + 4*t^6.726 + t^6.74 + 2*t^6.945 + t^6.959 + 2*t^6.973 + t^7.177 + 2*t^7.191 + t^7.206 + t^7.22 + t^7.41 + 2*t^7.424 + 3*t^7.438 + 2*t^7.453 + t^7.657 + 3*t^7.671 + 3*t^7.685 + t^7.889 + 2*t^7.904 + 3*t^7.918 + 2*t^7.932 + t^8.136 - t^8.15 + t^8.165 + t^8.369 + 5*t^8.383 + 2*t^8.411 + t^8.601 + 2*t^8.616 + 4*t^8.63 - t^8.644 + 3*t^8.658 + 2*t^8.848 + 3*t^8.862 + 5*t^8.877 + 2*t^8.891 + 2*t^8.905 - t^4.438/y - t^6.589/y - t^6.603/y + t^7.315/y + t^7.329/y + t^7.562/y + t^7.794/y + t^7.809/y + t^8.041/y + t^8.26/y + (3*t^8.274)/y + (2*t^8.288)/y + (2*t^8.506)/y + (2*t^8.521)/y + (3*t^8.753)/y + t^8.767/y + t^8.986/y - t^4.438*y - t^6.589*y - t^6.603*y + t^7.315*y + t^7.329*y + t^7.562*y + t^7.794*y + t^7.809*y + t^8.041*y + t^8.26*y + 3*t^8.274*y + 2*t^8.288*y + 2*t^8.506*y + 2*t^8.521*y + 3*t^8.753*y + t^8.767*y + t^8.986*y | t^2.15/g1^34 + g1^16*t^2.165 + t^2.397/g1^10 + g1^14*t^2.644 + t^3.109/g1^38 + g1^12*t^3.123 + t^3.356/g1^14 + t^3.589/g1^40 + g1^10*t^3.603 + 2*g1^8*t^4.082 + t^4.301/g1^68 + t^4.315/g1^18 + 2*g1^32*t^4.329 + t^4.547/g1^44 + g1^6*t^4.562 + g1^56*t^4.576 + (2*t^4.794)/g1^20 + g1^30*t^4.809 + g1^4*t^5.041 + t^5.26/g1^72 + (2*t^5.274)/g1^22 + 2*g1^28*t^5.288 + t^5.506/g1^48 + 2*g1^2*t^5.521 + t^5.739/g1^74 + (2*t^5.753)/g1^24 + 2*g1^26*t^5.767 + t^5.986/g1^50 - t^6. + t^6.218/g1^76 + (3*t^6.233)/g1^26 + g1^24*t^6.247 + t^6.451/g1^102 + (2*t^6.465)/g1^52 + (3*t^6.479)/g1^2 + g1^48*t^6.494 + (2*t^6.698)/g1^78 + (2*t^6.712)/g1^28 + 4*g1^22*t^6.726 + g1^72*t^6.74 + (2*t^6.945)/g1^54 + t^6.959/g1^4 + 2*g1^46*t^6.973 + t^7.177/g1^80 + (2*t^7.191)/g1^30 + g1^20*t^7.206 + g1^70*t^7.22 + t^7.41/g1^106 + (2*t^7.424)/g1^56 + (3*t^7.438)/g1^6 + 2*g1^44*t^7.453 + t^7.657/g1^82 + (3*t^7.671)/g1^32 + 3*g1^18*t^7.685 + t^7.889/g1^108 + (2*t^7.904)/g1^58 + (3*t^7.918)/g1^8 + 2*g1^42*t^7.932 + t^8.136/g1^84 - t^8.15/g1^34 + g1^16*t^8.165 + t^8.369/g1^110 + (5*t^8.383)/g1^60 + 2*g1^40*t^8.411 + t^8.601/g1^136 + (2*t^8.616)/g1^86 + (4*t^8.63)/g1^36 - g1^14*t^8.644 + 3*g1^64*t^8.658 + (2*t^8.848)/g1^112 + (3*t^8.862)/g1^62 + (5*t^8.877)/g1^12 + 2*g1^38*t^8.891 + 2*g1^88*t^8.905 - t^4.438/(g1^6*y) - t^6.589/(g1^40*y) - (g1^10*t^6.603)/y + t^7.315/(g1^18*y) + (g1^32*t^7.329)/y + (g1^6*t^7.562)/y + t^7.794/(g1^20*y) + (g1^30*t^7.809)/y + (g1^4*t^8.041)/y + t^8.26/(g1^72*y) + (3*t^8.274)/(g1^22*y) + (2*g1^28*t^8.288)/y + (2*t^8.506)/(g1^48*y) + (2*g1^2*t^8.521)/y + (3*t^8.753)/(g1^24*y) + (g1^26*t^8.767)/y + t^8.986/(g1^50*y) - (t^4.438*y)/g1^6 - (t^6.589*y)/g1^40 - g1^10*t^6.603*y + (t^7.315*y)/g1^18 + g1^32*t^7.329*y + g1^6*t^7.562*y + (t^7.794*y)/g1^20 + g1^30*t^7.809*y + g1^4*t^8.041*y + (t^8.26*y)/g1^72 + (3*t^8.274*y)/g1^22 + 2*g1^28*t^8.288*y + (2*t^8.506*y)/g1^48 + 2*g1^2*t^8.521*y + (3*t^8.753*y)/g1^24 + g1^26*t^8.767*y + (t^8.986*y)/g1^50 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5925 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{9}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6837 | 0.8772 | 0.7794 | [M:[0.7407, 1.0327, 1.1939, 1.1285, 0.8061, 0.8715, 1.0631, 0.7103, 0.7757], q:[0.5011, 0.7582], qb:[0.3703, 0.4357], phi:[0.4836]] | t^2.131 + t^2.222 + t^2.327 + t^2.418 + t^2.614 + t^3.098 + t^3.189 + t^3.386 + t^3.582 + 2*t^4.065 + 2*t^4.262 + t^4.353 + t^4.444 + 2*t^4.458 + 2*t^4.549 + t^4.64 + t^4.654 + 2*t^4.745 + 2*t^4.836 + t^4.941 + t^5.033 + 2*t^5.229 + 2*t^5.32 + t^5.411 + t^5.425 + 3*t^5.516 + t^5.608 + 3*t^5.713 + t^5.804 + t^5.909 - t^6. - t^4.451/y - t^4.451*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2392 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}M_{5}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6466 | 0.8096 | 0.7987 | [M:[0.7113, 1.0431, 1.2025, 1.1164, 0.7975, 0.8836, 1.0303], q:[0.5279, 0.7608], qb:[0.3557, 0.4418], phi:[0.4785]] | t^2.134 + t^2.392 + t^2.651 + t^3.091 + t^3.129 + t^3.349 + t^3.569 + t^3.608 + t^3.828 + 2*t^4.086 + t^4.268 + t^4.344 + t^4.526 + t^4.603 + 2*t^4.785 + t^5.043 + t^5.225 + t^5.263 + t^5.301 + t^5.483 + t^5.522 + t^5.703 + t^5.742 + t^5.78 + 2*t^5.962 - t^6. - t^4.435/y - t^4.435*y | detail |