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 |
|---|---|---|---|---|---|---|---|---|---|
| 57694 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.4624 | 1.6668 | 0.8773 | [X:[1.3429], M:[0.6714], q:[0.5762, 0.519], qb:[0.4524, 0.481], phi:[0.3286]] | [X:[[0, 2]], M:[[3, -22]], q:[[2, -11], [-4, 23]], qb:[[1, -6], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{6}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$ | ${}q_{2}^{2}\tilde{q}_{2}^{2}$ | -1 | t^2.01 + t^2.91 + t^2.96 + t^3. + t^3.09 + t^3.17 + t^3.9 + 2*t^4.03 + t^4.07 + t^4.16 + t^4.89 + t^4.93 + 2*t^4.97 + t^5.01 + t^5.06 + t^5.1 + 2*t^5.14 + t^5.19 + t^5.23 + t^5.83 + t^5.87 + 2*t^5.91 + t^5.96 - t^6. + 3*t^6.04 + 2*t^6.09 + 2*t^6.13 + 2*t^6.17 + t^6.21 + t^6.26 + t^6.34 + t^6.81 + t^6.86 + t^6.9 + 2*t^6.94 + 3*t^6.99 + 4*t^7.03 + 2*t^7.07 + 4*t^7.11 + 3*t^7.16 + 3*t^7.2 + 2*t^7.24 + t^7.29 + t^7.33 + t^7.63 + 2*t^7.8 + t^7.84 + 2*t^7.89 + 2*t^7.93 + 3*t^7.97 - t^8.01 + 6*t^8.06 + 4*t^8.1 + 6*t^8.14 + 3*t^8.19 + 4*t^8.23 + t^8.27 + 3*t^8.31 + t^8.36 + t^8.4 - t^8.66 + 2*t^8.79 + t^8.83 + 3*t^8.87 - t^8.91 + 3*t^8.96 + t^8.96/y^2 - t^3.99/y - t^4.97/y - t^6./y - t^6.9/y - t^6.94/y - (2*t^6.99)/y - t^7.07/y - t^7.16/y - t^7.89/y + t^7.97/y - t^8.06/y + t^8.1/y - t^8.14/y + t^8.19/y + t^8.91/y - t^3.99*y - t^4.97*y - t^6.*y - t^6.9*y - t^6.94*y - 2*t^6.99*y - t^7.07*y - t^7.16*y - t^7.89*y + t^7.97*y - t^8.06*y + t^8.1*y - t^8.14*y + t^8.19*y + t^8.91*y + t^8.96*y^2 | (g1^3*t^2.01)/g2^22 + (g2^17*t^2.91)/g1^3 + t^2.96/g2^3 + (g2^23*t^3.)/g1^3 + (g1^3*t^3.09)/g2^17 + (g1^3*t^3.17)/g2^11 + (g2^16*t^3.9)/g1^3 + (g1^6*t^4.03)/g2^44 + g2^2*t^4.03 + (g1^3*t^4.07)/g2^18 + (g1^3*t^4.16)/g2^12 + (g2^15*t^4.89)/g1^3 + t^4.93/g2^5 + (g1^3*t^4.97)/g2^25 + (g2^21*t^4.97)/g1^3 + g2*t^5.01 + (g1^3*t^5.06)/g2^19 + (g1^6*t^5.1)/g2^39 + (2*g1^3*t^5.14)/g2^13 + (g1^6*t^5.19)/g2^33 + (g1^3*t^5.23)/g2^7 + (g2^34*t^5.83)/g1^6 + (g2^14*t^5.87)/g1^3 + t^5.91/g2^6 + (g2^40*t^5.91)/g1^6 + (g2^20*t^5.96)/g1^3 - 2*t^6. + (g2^46*t^6.)/g1^6 + (g1^9*t^6.04)/g2^66 + (2*g1^3*t^6.04)/g2^20 + (g1^6*t^6.09)/g2^40 + g2^6*t^6.09 + (2*g1^3*t^6.13)/g2^14 + (g1^6*t^6.17)/g2^34 + g2^12*t^6.17 + (g1^3*t^6.21)/g2^8 + (g1^6*t^6.26)/g2^28 + (g1^6*t^6.34)/g2^22 + (g2^33*t^6.81)/g1^6 + (g2^13*t^6.86)/g1^3 + (g2^39*t^6.9)/g1^6 + (g1^3*t^6.94)/g2^27 + (g2^19*t^6.94)/g1^3 + (g1^6*t^6.99)/g2^47 + (2*t^6.99)/g2 + (3*g1^3*t^7.03)/g2^21 + (g2^25*t^7.03)/g1^3 + (g1^6*t^7.07)/g2^41 + g2^5*t^7.07 + (g1^9*t^7.11)/g2^61 + (3*g1^3*t^7.11)/g2^15 + (2*g1^6*t^7.16)/g2^35 + g2^11*t^7.16 + (g1^9*t^7.2)/g2^55 + (2*g1^3*t^7.2)/g2^9 + (2*g1^6*t^7.24)/g2^29 + (g1^3*t^7.29)/g2^3 + (g1^6*t^7.33)/g2^23 + (g2^66*t^7.63)/g1^12 + (2*g2^32*t^7.8)/g1^6 + (g2^12*t^7.84)/g1^3 + (2*g2^38*t^7.89)/g1^6 + (g1^3*t^7.93)/g2^28 + (g2^18*t^7.93)/g1^3 + (2*t^7.97)/g2^2 + (g2^44*t^7.97)/g1^6 - (g1^3*t^8.01)/g2^22 + (g1^12*t^8.06)/g2^88 + (2*g1^6*t^8.06)/g2^42 + 3*g2^4*t^8.06 + (g1^9*t^8.1)/g2^62 + (3*g1^3*t^8.1)/g2^16 + (3*g1^6*t^8.14)/g2^36 + 3*g2^10*t^8.14 + (g1^9*t^8.19)/g2^56 + (2*g1^3*t^8.19)/g2^10 + (3*g1^6*t^8.23)/g2^30 + g2^16*t^8.23 + (g1^9*t^8.27)/g2^50 + (3*g1^6*t^8.31)/g2^24 + (g1^9*t^8.36)/g2^44 + (g1^6*t^8.4)/g2^18 - (g2^45*t^8.66)/g1^9 + (2*g2^31*t^8.79)/g1^6 + (g2^57*t^8.83)/g1^9 + t^8.87/g2^9 + (2*g2^37*t^8.87)/g1^6 - (2*g2^17*t^8.91)/g1^3 + (g2^63*t^8.91)/g1^9 + (g1^6*t^8.96)/g2^49 + t^8.96/g2^3 + (g2^43*t^8.96)/g1^6 + t^8.96/(g2^3*y^2) - t^3.99/(g2*y) - t^4.97/(g2^2*y) - (g1^3*t^6.)/(g2^23*y) - (g2^16*t^6.9)/(g1^3*y) - t^6.94/(g2^4*y) - (g1^3*t^6.99)/(g2^24*y) - (g2^22*t^6.99)/(g1^3*y) - (g1^3*t^7.07)/(g2^18*y) - (g1^3*t^7.16)/(g2^12*y) - (g2^15*t^7.89)/(g1^3*y) + (g1^3*t^7.97)/(g2^25*y) - (g1^6*t^8.01)/(g2^45*y) + (g2*t^8.01)/y - (g1^3*t^8.06)/(g2^19*y) + (g1^6*t^8.1)/(g2^39*y) - (g1^3*t^8.14)/(g2^13*y) + (g1^6*t^8.19)/(g2^33*y) + (g2^40*t^8.91)/(g1^6*y) - (g1^3*t^8.96)/(g2^26*y) + (g2^20*t^8.96)/(g1^3*y) - (t^3.99*y)/g2 - (t^4.97*y)/g2^2 - (g1^3*t^6.*y)/g2^23 - (g2^16*t^6.9*y)/g1^3 - (t^6.94*y)/g2^4 - (g1^3*t^6.99*y)/g2^24 - (g2^22*t^6.99*y)/g1^3 - (g1^3*t^7.07*y)/g2^18 - (g1^3*t^7.16*y)/g2^12 - (g2^15*t^7.89*y)/g1^3 + (g1^3*t^7.97*y)/g2^25 - (g1^6*t^8.01*y)/g2^45 + g2*t^8.01*y - (g1^3*t^8.06*y)/g2^19 + (g1^6*t^8.1*y)/g2^39 - (g1^3*t^8.14*y)/g2^13 + (g1^6*t^8.19*y)/g2^33 + (g2^40*t^8.91*y)/g1^6 - (g1^3*t^8.96*y)/g2^26 + (g2^20*t^8.96*y)/g1^3 + (t^8.96*y^2)/g2^3 |
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 |
|---|---|---|---|---|---|---|---|---|
| 59020 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.3874 | 1.6013 | 0.8664 | [X:[1.277], M:[0.9155], q:[0.6182, 0.4022], qb:[0.4898, 0.3208], phi:[0.3615]] | t^2.17 + t^2.68 + t^2.75 + t^2.82 + t^3.25 + t^3.32 + t^3.76 + t^3.83 + t^3.9 + 2*t^4.34 + t^4.41 + t^4.48 + 2*t^4.85 + t^4.92 + 3*t^4.99 + t^5.35 + 2*t^5.42 + 3*t^5.49 + 2*t^5.56 + t^5.63 + 2*t^5.93 - t^4.08/y - t^5.17/y - t^4.08*y - t^5.17*y | detail | |
| 60079 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ | 1.4116 | 1.6174 | 0.8728 | [X:[1.3068], M:[0.8665], q:[0.6401, 0.3731], qb:[0.4934, 0.4138], phi:[0.3466]] | t^2.36 + 2*t^2.6 + t^3.12 + t^3.16 + t^3.4 + t^3.64 + t^3.92 + t^4.2 + 2*t^4.44 + t^4.68 + t^4.72 + 2*t^4.96 + t^5. + 3*t^5.2 + 2*t^5.24 + 2*t^5.48 + t^5.52 + 2*t^5.72 + 2*t^5.76 - t^4.04/y - t^5.08/y - t^4.04*y - t^5.08*y | detail | |
| 60095 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{2}$ | 1.4 | 1.5947 | 0.8779 | [X:[1.3491], M:[0.79], q:[0.6667, 0.3412], qb:[0.4961, 0.5434], phi:[0.3254]] | t^2.37 + t^2.51 + t^2.65 + t^2.93 + 2*t^3.49 + t^3.63 + t^4.05 + 2*t^4.46 + 2*t^4.61 + t^4.74 + t^4.88 + 2*t^5.02 + t^5.17 + t^5.3 + t^5.31 + 2*t^5.44 + 3*t^5.58 + t^5.72 + 2*t^5.86 + t^6. - t^3.98/y - t^4.95/y - t^3.98*y - t^4.95*y | detail | |
| 60096 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ | 1.1449 | 1.3453 | 0.851 | [X:[1.2, 1.4969], M:[1.0969], q:[0.5979, 0.4041], qb:[0.499, 0.099], phi:[0.4]] | t^2.09 + t^2.71 + 4*t^3.29 + 2*t^3.6 + 2*t^3.91 + t^4.18 + 6*t^4.49 + t^5.11 + 4*t^5.38 + t^5.42 + 5*t^5.69 - t^4.2/y - t^5.4/y - t^4.2*y - t^5.4*y | detail | |
| 59387 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }q_{2}\tilde{q}_{2}X_{2}$ | 1.3106 | 1.5009 | 0.8732 | [X:[1.2646, 1.3677], M:[1.0], q:[0.6517, 0.3289], qb:[0.5097, 0.3034], phi:[0.3677]] | t^2.52 + t^2.87 + t^3. + t^3.31 + t^3.48 + t^3.62 + t^3.79 + t^3.97 + 2*t^4.1 + t^4.45 + t^4.59 + t^4.72 + t^5.03 + 2*t^5.07 + t^5.52 + t^5.56 + t^5.69 + t^5.73 + t^5.83 + t^5.87 - t^6. - t^4.1/y - t^5.21/y - t^4.1*y - t^5.21*y | detail | |
| 59057 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.4829 | 1.7065 | 0.869 | [X:[1.3426], M:[0.6694, 0.6974], q:[0.5745, 0.5224], qb:[0.4516, 0.4795], phi:[0.3287]] | t^2.01 + t^2.09 + t^2.92 + t^2.96 + t^3.01 + t^3.08 + t^3.16 + t^4.02 + t^4.03 + t^4.06 + t^4.1 + t^4.15 + t^4.18 + t^4.89 + t^4.93 + t^4.97 + t^4.98 + 2*t^5.01 + 2*t^5.05 + t^5.09 + t^5.1 + 2*t^5.13 + 2*t^5.17 + t^5.22 + t^5.25 + t^5.84 + t^5.88 + t^5.93 + t^5.96 - 2*t^6. - t^3.99/y - t^4.97/y - t^5.99/y - t^3.99*y - t^4.97*y - t^5.99*y | detail | |
| 59431 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{6}$ | 1.4611 | 1.6676 | 0.8762 | [X:[1.3333], M:[0.6964], q:[0.5754, 0.516], qb:[0.4543, 0.4543], phi:[0.3333]] | t^2.09 + 2*t^2.91 + t^3. + 2*t^3.09 + t^3.91 + t^4. + 2*t^4.09 + t^4.18 + 2*t^4.91 + 2*t^5. + 5*t^5.09 + 2*t^5.18 + 3*t^5.82 + 2*t^5.91 + t^6. - t^4./y - t^5./y - t^4.*y - t^5.*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47944 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 1.4415 | 1.6256 | 0.8868 | [X:[1.3426], q:[0.5765, 0.5182], qb:[0.4526, 0.4803], phi:[0.3287]] | t^2.913 + t^2.959 + t^2.996 + t^3.087 + t^3.17 + t^3.899 + t^3.982 + t^4.028 + t^4.074 + t^4.157 + t^4.885 + t^4.968 + t^5.06 + 2*t^5.143 + t^5.226 + t^5.825 + t^5.871 + t^5.908 + t^5.954 + t^5.991 - 2*t^6. - t^3.986/y - t^4.972/y - t^3.986*y - t^4.972*y | detail |