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 |
|---|---|---|---|---|---|---|---|---|---|
| 1918 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ | 0.6746 | 0.8467 | 0.7967 | [M:[0.831, 1.0563, 1.169, 0.7183, 0.831], q:[0.4049, 0.7641], qb:[0.426, 0.5176], phi:[0.4718]] | [M:[[-12], [4], [12], [-20], [-12]], q:[[11], [1]], qb:[[-23], [19]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$ | ${}M_{4}\phi_{1}q_{1}^{2}$ | -1 | t^2.155 + 2*t^2.493 + t^2.768 + t^2.831 + t^3.169 + t^3.57 + t^3.845 + t^3.908 + t^3.972 + t^4.183 + t^4.246 + t^4.31 + t^4.521 + 2*t^4.648 + t^4.923 + 4*t^4.986 + 2*t^5.261 + 3*t^5.324 + t^5.535 + t^5.599 + 2*t^5.662 - t^6. + 2*t^6.063 + t^6.127 - t^6.275 + 2*t^6.338 + 3*t^6.401 + 3*t^6.465 + t^6.613 + 3*t^6.676 + 3*t^6.739 + 3*t^6.803 + t^6.951 + 2*t^7.014 + 4*t^7.141 + t^7.289 + 6*t^7.479 + t^7.542 + 3*t^7.754 + 6*t^7.817 + t^7.88 + t^7.944 + 2*t^8.028 + 2*t^8.092 + 2*t^8.155 + t^8.218 + t^8.282 + t^8.303 + 2*t^8.366 - t^8.43 - 2*t^8.493 + 3*t^8.556 + 3*t^8.62 + t^8.704 - 3*t^8.768 + 5*t^8.894 + 6*t^8.958 - t^4.415/y - t^6.57/y - t^6.908/y + (2*t^7.648)/y + (2*t^7.923)/y + (2*t^7.986)/y + (3*t^8.261)/y + (3*t^8.324)/y + t^8.599/y + (2*t^8.662)/y + t^8.937/y - t^4.415*y - t^6.57*y - t^6.908*y + 2*t^7.648*y + 2*t^7.923*y + 2*t^7.986*y + 3*t^8.261*y + 3*t^8.324*y + t^8.599*y + 2*t^8.662*y + t^8.937*y | t^2.155/g1^20 + (2*t^2.493)/g1^12 + g1^30*t^2.768 + t^2.831/g1^4 + g1^4*t^3.169 + t^3.57/g1^22 + g1^20*t^3.845 + t^3.908/g1^14 + t^3.972/g1^48 + g1^28*t^4.183 + t^4.246/g1^6 + t^4.31/g1^40 + g1^36*t^4.521 + (2*t^4.648)/g1^32 + g1^10*t^4.923 + (4*t^4.986)/g1^24 + 2*g1^18*t^5.261 + (3*t^5.324)/g1^16 + g1^60*t^5.535 + g1^26*t^5.599 + (2*t^5.662)/g1^8 - t^6. + (2*t^6.063)/g1^34 + t^6.127/g1^68 - g1^42*t^6.275 + 2*g1^8*t^6.338 + (3*t^6.401)/g1^26 + (3*t^6.465)/g1^60 + g1^50*t^6.613 + 3*g1^16*t^6.676 + (3*t^6.739)/g1^18 + (3*t^6.803)/g1^52 + g1^58*t^6.951 + 2*g1^24*t^7.014 + (4*t^7.141)/g1^44 + g1^66*t^7.289 + (6*t^7.479)/g1^36 + t^7.542/g1^70 + 3*g1^6*t^7.754 + (6*t^7.817)/g1^28 + t^7.88/g1^62 + t^7.944/g1^96 + 2*g1^48*t^8.028 + 2*g1^14*t^8.092 + (2*t^8.155)/g1^20 + t^8.218/g1^54 + t^8.282/g1^88 + g1^90*t^8.303 + 2*g1^56*t^8.366 - g1^22*t^8.43 - (2*t^8.493)/g1^12 + (3*t^8.556)/g1^46 + (3*t^8.62)/g1^80 + g1^64*t^8.704 - 3*g1^30*t^8.768 + (5*t^8.894)/g1^38 + (6*t^8.958)/g1^72 - t^4.415/(g1^2*y) - t^6.57/(g1^22*y) - t^6.908/(g1^14*y) + (2*t^7.648)/(g1^32*y) + (2*g1^10*t^7.923)/y + (2*t^7.986)/(g1^24*y) + (3*g1^18*t^8.261)/y + (3*t^8.324)/(g1^16*y) + (g1^26*t^8.599)/y + (2*t^8.662)/(g1^8*y) + (g1^34*t^8.937)/y - (t^4.415*y)/g1^2 - (t^6.57*y)/g1^22 - (t^6.908*y)/g1^14 + (2*t^7.648*y)/g1^32 + 2*g1^10*t^7.923*y + (2*t^7.986*y)/g1^24 + 3*g1^18*t^8.261*y + (3*t^8.324*y)/g1^16 + g1^26*t^8.599*y + (2*t^8.662*y)/g1^8 + g1^34*t^8.937*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 |
|---|---|---|---|---|---|---|---|---|
| 2954 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6952 | 0.8862 | 0.7845 | [M:[0.8322, 1.0559, 1.1678, 0.7204, 0.8322, 0.6957], q:[0.4038, 0.764], qb:[0.4285, 0.5156], phi:[0.472]] | t^2.087 + t^2.161 + 2*t^2.497 + t^2.758 + t^2.832 + t^3.168 + t^3.577 + t^3.839 + t^3.987 + 2*t^4.174 + 2*t^4.248 + t^4.322 + t^4.51 + 2*t^4.584 + 2*t^4.658 + t^4.845 + 2*t^4.919 + 4*t^4.993 + 3*t^5.255 + 3*t^5.329 + t^5.516 + t^5.59 + 3*t^5.664 + t^5.926 - t^6. - t^4.416/y - t^4.416*y | detail | |
| 2953 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.6948 | 0.885 | 0.785 | [M:[0.8282, 1.0573, 1.1718, 0.7136, 0.8282, 0.7136], q:[0.4075, 0.7643], qb:[0.4207, 0.5221], phi:[0.4714]] | 2*t^2.141 + 2*t^2.485 + t^2.789 + t^2.828 + t^3.172 + t^3.555 + t^3.899 + t^3.938 + t^4.203 + t^4.242 + 3*t^4.282 + t^4.546 + 4*t^4.625 + 2*t^4.93 + 5*t^4.969 + 2*t^5.273 + 4*t^5.313 + t^5.577 + t^5.617 + 2*t^5.656 + t^5.696 - 2*t^6. - t^4.414/y - t^4.414*y | detail | |
| 2955 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6954 | 0.8879 | 0.7832 | [M:[0.8319, 1.056, 1.1681, 0.7198, 0.8319, 0.6725], q:[0.4041, 0.764], qb:[0.4278, 0.5162], phi:[0.472]] | t^2.017 + t^2.159 + 2*t^2.496 + t^2.761 + t^2.832 + t^3.168 + t^3.575 + t^3.841 + t^3.912 + t^4.035 + 2*t^4.177 + t^4.248 + t^4.319 + 3*t^4.513 + 2*t^4.655 + t^4.778 + t^4.849 + t^4.92 + 4*t^4.991 + t^5.186 + 2*t^5.257 + 3*t^5.328 + t^5.522 + 2*t^5.593 + 2*t^5.664 + t^5.858 + t^5.929 - t^6. - t^4.416/y - t^4.416*y | detail | |
| 2952 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.6692 | 0.8404 | 0.7963 | [M:[0.8152, 1.0616, 1.1848, 0.6921, 0.8152, 1.0381], q:[0.4194, 0.7654], qb:[0.3959, 0.5425], phi:[0.4692]] | t^2.076 + 2*t^2.446 + t^2.815 + t^3.114 + t^3.185 + t^3.484 + t^3.783 + t^3.853 + t^3.924 + t^4.152 + t^4.223 + t^4.293 + 2*t^4.522 + t^4.663 + 4*t^4.891 + t^5.191 + 3*t^5.261 + 2*t^5.56 + 2*t^5.63 + t^5.859 + 3*t^5.93 - t^6. - t^4.408/y - t^4.408*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 |
|---|---|---|---|---|---|---|---|---|---|
| 580 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.7035 | 0.8668 | 0.8116 | [M:[0.9248, 1.0251, 1.0752, 0.8746, 0.9248], q:[0.4849, 0.5904], qb:[0.4399, 0.535], phi:[0.4875]] | t^2.624 + 2*t^2.774 + t^2.925 + t^3.06 + t^3.075 + t^3.091 + t^4.102 + t^4.237 + t^4.372 + t^4.387 + t^4.522 + t^4.553 + t^4.673 + t^4.688 + t^4.839 + t^5.005 + t^5.248 + 2*t^5.398 + 3*t^5.549 + 3*t^5.699 + t^5.834 + 2*t^5.85 + t^5.865 + t^5.985 - 3*t^6. - t^4.462/y - t^4.462*y | detail |