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 |
|---|---|---|---|---|---|---|---|---|---|
| 57300 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | 1.4314 | 1.6163 | 0.8856 | [X:[1.3772], M:[0.7785], q:[0.4449, 0.6249], qb:[0.4651, 0.5966], phi:[0.3114]] | [X:[[0, 4]], M:[[0, -5]], q:[[-1, 19], [-1, 5]], qb:[[1, -12], [1, 0]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{6}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.336 + t^2.73 + t^2.803 + t^3.125 + t^3.27 + t^3.664 + t^4.059 + t^4.131 + t^4.204 + 2*t^4.599 + t^4.671 + t^4.993 + t^5.066 + 2*t^5.138 + t^5.46 + t^5.478 + t^5.515 + 2*t^5.533 + t^5.606 + t^5.855 + t^5.909 + t^5.927 - 2*t^6. + t^6.018 + t^6.073 + t^6.249 + t^6.394 + t^6.413 + t^6.449 + 2*t^6.467 + 2*t^6.789 + t^6.807 + t^6.843 + 2*t^6.862 + 2*t^6.934 + t^6.952 + t^6.989 + 2*t^7.007 + t^7.183 + t^7.256 - t^7.311 + 4*t^7.329 + t^7.347 + t^7.383 + 4*t^7.401 - t^7.42 + t^7.474 + 4*t^7.723 + t^7.778 + 2*t^7.796 - t^7.814 - t^7.85 + 4*t^7.869 + t^7.887 + 2*t^7.941 + 2*t^8.118 + t^8.172 + t^8.19 + 6*t^8.263 + t^8.281 + t^8.317 - t^8.354 - t^8.39 + 2*t^8.408 + t^8.427 + t^8.585 + t^8.603 + t^8.639 + 5*t^8.657 + t^8.712 - 2*t^8.73 - t^8.785 + 4*t^8.803 + t^8.821 + t^8.875 - t^8.894 + t^8.979 + t^8.803/y^2 - t^3.934/y - t^4.869/y - t^6.27/y - t^6.664/y - t^6.737/y - t^7.059/y - (2*t^7.204)/y - t^7.599/y - t^7.671/y - t^7.993/y + t^8.066/y + t^8.46/y + t^8.855/y - t^3.934*y - t^4.869*y - t^6.27*y - t^6.664*y - t^6.737*y - t^7.059*y - 2*t^7.204*y - t^7.599*y - t^7.671*y - t^7.993*y + t^8.066*y + t^8.46*y + t^8.855*y + t^8.803*y^2 | t^2.336/g2^5 + g2^7*t^2.73 + t^2.803/g2^6 + g2^19*t^3.125 + t^3.27/g2^7 + g2^5*t^3.664 + g2^17*t^4.059 + g2^4*t^4.131 + t^4.204/g2^9 + 2*g2^3*t^4.599 + t^4.671/g2^10 + g2^15*t^4.993 + g2^2*t^5.066 + (2*t^5.138)/g2^11 + g2^14*t^5.46 + (g2^41*t^5.478)/g1^3 + (g1^3*t^5.515)/g2^26 + 2*g2*t^5.533 + t^5.606/g2^12 + g2^26*t^5.855 + (g1^3*t^5.909)/g2^14 + g2^13*t^5.927 - 2*t^6. + (g2^27*t^6.018)/g1^3 + t^6.073/g2^13 + g2^38*t^6.249 + g2^12*t^6.394 + (g2^39*t^6.413)/g1^3 + (g1^3*t^6.449)/g2^28 + (2*t^6.467)/g2 + 2*g2^24*t^6.789 + (g2^51*t^6.807)/g1^3 + (g1^3*t^6.843)/g2^16 + 2*g2^11*t^6.862 + (2*t^6.934)/g2^2 + (g2^25*t^6.952)/g1^3 + (g1^3*t^6.989)/g2^42 + (2*t^7.007)/g2^15 + g2^36*t^7.183 + g2^23*t^7.256 - (g1^3*t^7.311)/g2^17 + 4*g2^10*t^7.329 + (g2^37*t^7.347)/g1^3 + (g1^3*t^7.383)/g2^30 + (4*t^7.401)/g2^3 - (g2^24*t^7.42)/g1^3 + t^7.474/g2^16 + 4*g2^22*t^7.723 + (g1^3*t^7.778)/g2^18 + 2*g2^9*t^7.796 - (g2^36*t^7.814)/g1^3 - (g1^3*t^7.85)/g2^31 + (4*t^7.869)/g2^4 + (g2^23*t^7.887)/g1^3 + (2*t^7.941)/g2^17 + 2*g2^34*t^8.118 + (g1^3*t^8.172)/g2^6 + g2^21*t^8.19 + 6*g2^8*t^8.263 + (g2^35*t^8.281)/g1^3 + (g1^3*t^8.317)/g2^32 - (g2^22*t^8.354)/g1^3 - (g1^3*t^8.39)/g2^45 + (2*t^8.408)/g2^18 + (g2^9*t^8.427)/g1^3 + g2^33*t^8.585 + (g2^60*t^8.603)/g1^3 + (g1^3*t^8.639)/g2^7 + 5*g2^20*t^8.657 + (g1^3*t^8.712)/g2^20 - 2*g2^7*t^8.73 - (g1^3*t^8.785)/g2^33 + (4*t^8.803)/g2^6 + (g2^21*t^8.821)/g1^3 + t^8.875/g2^19 - (g2^8*t^8.894)/g1^3 + g2^45*t^8.979 + t^8.803/(g2^6*y^2) - t^3.934/(g2^2*y) - t^4.869/(g2^4*y) - t^6.27/(g2^7*y) - (g2^5*t^6.664)/y - t^6.737/(g2^8*y) - (g2^17*t^7.059)/y - (2*t^7.204)/(g2^9*y) - (g2^3*t^7.599)/y - t^7.671/(g2^10*y) - (g2^15*t^7.993)/y + (g2^2*t^8.066)/y + (g2^14*t^8.46)/y + (g2^26*t^8.855)/y - (t^3.934*y)/g2^2 - (t^4.869*y)/g2^4 - (t^6.27*y)/g2^7 - g2^5*t^6.664*y - (t^6.737*y)/g2^8 - g2^17*t^7.059*y - (2*t^7.204*y)/g2^9 - g2^3*t^7.599*y - (t^7.671*y)/g2^10 - g2^15*t^7.993*y + g2^2*t^8.066*y + g2^14*t^8.46*y + g2^26*t^8.855*y + (t^8.803*y^2)/g2^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 58015 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{2}$ | 1.4138 | 1.5856 | 0.8916 | [X:[1.3751], M:[0.7811, 1.2189], q:[0.4404, 0.6274], qb:[0.4661, 0.5915], phi:[0.3124]] | t^2.72 + t^2.81 + t^3.1 + t^3.28 + 2*t^3.66 + t^4.03 + t^4.13 + t^4.22 + 2*t^4.59 + t^4.97 + t^5.16 + t^5.46 + t^5.51 + 2*t^5.53 + t^5.82 + t^5.88 + t^5.91 - 3*t^6. - t^3.94/y - t^4.87/y - t^3.94*y - t^4.87*y | detail | |
| 58016 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ | 1.4236 | 1.602 | 0.8886 | [X:[1.3819], M:[0.7726, 1.0817], q:[0.4555, 0.6188], qb:[0.4628, 0.6085], phi:[0.3091]] | t^2.32 + t^2.78 + t^3.19 + 2*t^3.25 + t^3.68 + t^4.12 + t^4.15 + t^4.17 + 2*t^4.61 + t^4.64 + t^5.05 + 2*t^5.1 + t^5.52 + t^5.53 + t^5.54 + 2*t^5.56 + 2*t^5.97 - 3*t^6. - t^3.93/y - t^4.85/y - t^3.93*y - t^4.85*y | detail | |
| 58017 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ | 1.4381 | 1.6256 | 0.8847 | [X:[1.3897], M:[0.7628, 0.8987], q:[0.473, 0.6089], qb:[0.4591, 0.6283], phi:[0.3051]] | t^2.29 + t^2.7 + t^2.75 + t^2.8 + t^3.2 + t^3.71 + t^4.12 + t^4.17 + t^4.22 + t^4.58 + 2*t^4.63 + t^4.98 + 2*t^5.03 + t^5.08 + t^5.13 + t^5.39 + t^5.44 + 2*t^5.49 + 2*t^5.54 + t^5.55 + t^5.58 + t^5.9 + t^5.95 + t^5.99 - 2*t^6. - t^3.92/y - t^4.83/y - t^3.92*y - t^4.83*y | detail | |
| 58018 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.44 | 1.6324 | 0.8822 | [X:[1.3726], M:[0.7842, 0.9021], q:[0.4348, 0.6306], qb:[0.4673, 0.5852], phi:[0.3137]] | t^2.35 + 2*t^2.71 + t^2.82 + t^3.06 + t^3.65 + t^4. + t^4.12 + t^4.23 + 2*t^4.59 + t^4.71 + t^4.94 + 2*t^5.06 + 2*t^5.18 + 3*t^5.41 + t^5.44 + t^5.5 + 3*t^5.53 + 2*t^5.77 + t^5.85 + t^5.88 - 3*t^6. - t^3.94/y - t^4.88/y - t^3.94*y - t^4.88*y | detail | |
| 58012 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ | 1.4188 | 1.5999 | 0.8868 | [X:[1.3897], M:[0.7628], q:[0.5197, 0.6556], qb:[0.4124, 0.5816], phi:[0.3051]] | t^2.29 + t^2.75 + t^2.8 + t^3.2 + t^3.3 + t^3.71 + t^4.12 + t^4.17 + t^4.22 + t^4.58 + 2*t^4.63 + 2*t^5.03 + t^5.08 + 2*t^5.13 + t^5.49 + 2*t^5.54 + t^5.59 + t^5.64 + t^5.95 - t^6. - t^3.92/y - t^4.83/y - t^3.92*y - t^4.83*y | detail | |
| 58013 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 1.4183 | 1.6014 | 0.8856 | [X:[1.3831], M:[0.7712], q:[0.4063, 0.5655], qb:[0.5141, 0.6633], phi:[0.3085]] | t^2.31 + t^2.76 + t^2.78 + t^3.21 + t^3.24 + t^3.69 + t^4.13 + t^4.15 + t^4.16 + 2*t^4.61 + t^4.63 + 2*t^5.06 + t^5.07 + 2*t^5.09 + t^5.52 + 3*t^5.54 + t^5.55 + t^5.97 + 2*t^5.98 - t^6. - t^3.93/y - t^4.85/y - t^3.93*y - t^4.85*y | detail | |
| 58014 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}^{6}$ | 1.3981 | 1.596 | 0.876 | [X:[1.3333], M:[0.8333], q:[0.3472, 0.6806], qb:[0.4861, 0.4861], phi:[0.3333]] | 3*t^2.5 + t^3. + 3*t^3.5 + t^4. + 4*t^4.5 + 5*t^5. + t^5.13 + 2*t^5.37 + 5*t^5.5 + 3*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y | detail | {a: 4295/3072, c: 4903/3072, X1: 4/3, M1: 5/6, q1: 25/72, q2: 49/72, qb1: 35/72, qb2: 35/72, phi1: 1/3} |
| 57999 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }q_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{2}$ + ${ }\phi_{1}^{3}X_{3}$ | 0.8949 | 0.9673 | 0.9252 | [X:[1.5789, 1.4737, 1.3684], M:[0.5263], q:[0.8947, 0.3684], qb:[0.3684, 1.1053], phi:[0.2105]] | t^2.21 + t^2.84 + t^3.47 + t^4.11 + t^4.42 + t^4.74 + t^5.05 + 2*t^5.21 + 2*t^5.68 - 2*t^6. - t^3.63/y - t^4.26/y - t^5.84/y - t^3.63*y - t^4.26*y - t^5.84*y | detail | {a: 49107/54872, c: 26539/27436, X1: 30/19, X2: 28/19, X3: 26/19, M1: 10/19, q1: 17/19, q2: 7/19, qb1: 7/19, qb2: 21/19, phi1: 4/19} |
| 58011 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }q_{1}^{2}\tilde{q}_{1}^{2}$ | 1.3907 | 1.5604 | 0.8913 | [X:[1.4286], M:[0.7143], q:[0.5595, 0.5595], qb:[0.4405, 0.7262], phi:[0.2857]] | t^2.14 + t^2.57 + 2*t^3. + 3*t^3.86 + 2*t^4.29 + 5*t^4.71 + 2*t^5.14 + 4*t^5.57 + t^5.68 + 2*t^5.89 - t^6. - t^3.86/y - t^4.71/y - t^6./y - t^3.86*y - t^4.71*y - t^6.*y | detail | {a: 61059/43904, c: 68507/43904, X1: 10/7, M1: 5/7, q1: 47/84, q2: 47/84, qb1: 37/84, qb2: 61/84, phi1: 2/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 47882 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4342 | 1.6257 | 0.8822 | [X:[1.3547], M:[0.8066], q:[0.4353, 0.5967], qb:[0.4353, 0.5967], phi:[0.3227]] | t^2.42 + t^2.612 + t^2.904 + 2*t^3.096 + t^3.58 + 3*t^4.064 + 2*t^4.548 + t^4.84 + 3*t^5.032 + t^5.224 + t^5.324 + 2*t^5.37 + 2*t^5.516 + 2*t^5.708 + t^5.808 + 2*t^5.854 - t^6. - t^3.968/y - t^4.936/y - t^3.968*y - t^4.936*y | detail |