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 |
|---|---|---|---|---|---|---|---|---|---|
| 3203 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ | 0.6634 | 0.8409 | 0.789 | [M:[1.1967, 0.7311, 0.8033, 1.1246, 0.8754, 1.1246, 0.7148], q:[0.4377, 0.3656], qb:[0.759, 0.5099], phi:[0.482]] | [M:[[10], [-34], [-10], [-14], [14], [-14], [16]], q:[[7], [-17]], qb:[[3], [31]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{2}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{6}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{7}\phi_{1}q_{2}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$ | ${}$ | -2 | t^2.144 + t^2.193 + t^2.41 + t^2.843 + t^2.892 + 2*t^3.374 + t^3.59 + t^3.639 + 2*t^4.072 + 2*t^4.289 + t^4.338 + t^4.387 + t^4.505 + t^4.554 + t^4.603 + t^4.82 + t^4.987 + 2*t^5.036 + t^5.085 + t^5.253 + t^5.302 + 2*t^5.518 + t^5.567 + t^5.686 + 2*t^5.735 + 3*t^5.784 + t^5.832 - 2*t^6. + t^6.049 + t^6.216 + 3*t^6.265 + 2*t^6.433 + 4*t^6.482 + 2*t^6.531 + t^6.58 + t^6.649 + t^6.698 + 2*t^6.747 + t^6.796 + 2*t^6.915 + 3*t^6.964 + 2*t^7.013 + 2*t^7.131 + t^7.18 + t^7.229 + 2*t^7.278 + t^7.348 + t^7.397 + 2*t^7.446 + t^7.495 - t^7.613 + 3*t^7.662 + 3*t^7.711 + t^7.76 + t^7.83 + 3*t^7.879 + 3*t^7.928 + 2*t^7.977 + t^8.026 + t^8.095 + t^8.242 + t^8.361 - t^8.41 + 3*t^8.459 + t^8.528 + 5*t^8.577 + 2*t^8.626 + 5*t^8.675 + 2*t^8.724 + t^8.773 + 2*t^8.794 - 2*t^8.843 + t^8.892 + 2*t^8.941 + t^8.99 - t^4.446/y - t^6.59/y - t^6.639/y + t^7.072/y + (2*t^7.554)/y + t^7.603/y - t^7.82/y + t^7.987/y + (2*t^8.036)/y + t^8.085/y + (2*t^8.253)/y + (2*t^8.302)/y + (2*t^8.518)/y + (2*t^8.567)/y + t^8.735/y + (3*t^8.784)/y - t^4.446*y - t^6.59*y - t^6.639*y + t^7.072*y + 2*t^7.554*y + t^7.603*y - t^7.82*y + t^7.987*y + 2*t^8.036*y + t^8.085*y + 2*t^8.253*y + 2*t^8.302*y + 2*t^8.518*y + 2*t^8.567*y + t^8.735*y + 3*t^8.784*y | g1^16*t^2.144 + t^2.193/g1^34 + t^2.41/g1^10 + g1^38*t^2.843 + t^2.892/g1^12 + (2*t^3.374)/g1^14 + g1^10*t^3.59 + t^3.639/g1^40 + 2*g1^8*t^4.072 + 2*g1^32*t^4.289 + t^4.338/g1^18 + t^4.387/g1^68 + g1^56*t^4.505 + g1^6*t^4.554 + t^4.603/g1^44 + t^4.82/g1^20 + g1^54*t^4.987 + 2*g1^4*t^5.036 + t^5.085/g1^46 + g1^28*t^5.253 + t^5.302/g1^22 + 2*g1^2*t^5.518 + t^5.567/g1^48 + g1^76*t^5.686 + 2*g1^26*t^5.735 + (3*t^5.784)/g1^24 + t^5.832/g1^74 - 2*t^6. + t^6.049/g1^50 + g1^24*t^6.216 + (3*t^6.265)/g1^26 + 2*g1^48*t^6.433 + (4*t^6.482)/g1^2 + (2*t^6.531)/g1^52 + t^6.58/g1^102 + g1^72*t^6.649 + g1^22*t^6.698 + (2*t^6.747)/g1^28 + t^6.796/g1^78 + 2*g1^46*t^6.915 + (3*t^6.964)/g1^4 + (2*t^7.013)/g1^54 + 2*g1^70*t^7.131 + g1^20*t^7.18 + t^7.229/g1^30 + (2*t^7.278)/g1^80 + g1^94*t^7.348 + g1^44*t^7.397 + (2*t^7.446)/g1^6 + t^7.495/g1^56 - g1^68*t^7.613 + 3*g1^18*t^7.662 + (3*t^7.711)/g1^32 + t^7.76/g1^82 + g1^92*t^7.83 + 3*g1^42*t^7.879 + (3*t^7.928)/g1^8 + (2*t^7.977)/g1^58 + t^8.026/g1^108 + g1^66*t^8.095 + t^8.242/g1^84 + g1^40*t^8.361 - t^8.41/g1^10 + (3*t^8.459)/g1^60 + g1^114*t^8.528 + 5*g1^64*t^8.577 + 2*g1^14*t^8.626 + (5*t^8.675)/g1^36 + (2*t^8.724)/g1^86 + t^8.773/g1^136 + 2*g1^88*t^8.794 - 2*g1^38*t^8.843 + t^8.892/g1^12 + (2*t^8.941)/g1^62 + t^8.99/g1^112 - t^4.446/(g1^6*y) - (g1^10*t^6.59)/y - t^6.639/(g1^40*y) + (g1^8*t^7.072)/y + (2*g1^6*t^7.554)/y + t^7.603/(g1^44*y) - t^7.82/(g1^20*y) + (g1^54*t^7.987)/y + (2*g1^4*t^8.036)/y + t^8.085/(g1^46*y) + (2*g1^28*t^8.253)/y + (2*t^8.302)/(g1^22*y) + (2*g1^2*t^8.518)/y + (2*t^8.567)/(g1^48*y) + (g1^26*t^8.735)/y + (3*t^8.784)/(g1^24*y) - (t^4.446*y)/g1^6 - g1^10*t^6.59*y - (t^6.639*y)/g1^40 + g1^8*t^7.072*y + 2*g1^6*t^7.554*y + (t^7.603*y)/g1^44 - (t^7.82*y)/g1^20 + g1^54*t^7.987*y + 2*g1^4*t^8.036*y + (t^8.085*y)/g1^46 + 2*g1^28*t^8.253*y + (2*t^8.302*y)/g1^22 + 2*g1^2*t^8.518*y + (2*t^8.567*y)/g1^48 + g1^26*t^8.735*y + (3*t^8.784*y)/g1^24 |
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 |
|---|---|---|---|---|---|---|---|---|
| 5086 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{1}q_{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$ | 0.6814 | 0.8736 | 0.78 | [M:[1.1906, 0.7519, 0.8094, 1.1331, 0.8669, 1.1331, 0.705, 0.7625], q:[0.4334, 0.376], qb:[0.7572, 0.4909], phi:[0.4856]] | t^2.115 + t^2.256 + t^2.287 + t^2.428 + t^2.773 + t^2.914 + 2*t^3.399 + t^3.572 + 2*t^4.057 + 2*t^4.23 + t^4.371 + 2*t^4.402 + t^4.511 + 2*t^4.543 + t^4.575 + t^4.684 + t^4.716 + t^4.856 + t^4.888 + 2*t^5.029 + t^5.06 + t^5.17 + 2*t^5.201 + t^5.342 + 2*t^5.514 + t^5.546 + t^5.655 + 4*t^5.687 + 2*t^5.828 + t^5.859 - 2*t^6. - t^4.457/y - t^4.457*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2106 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6433 | 0.803 | 0.801 | [M:[1.1981, 0.7264, 0.8019, 1.1226, 0.8774, 1.1226], q:[0.4387, 0.3632], qb:[0.7594, 0.5142], phi:[0.4811]] | t^2.179 + t^2.406 + t^2.859 + t^2.887 + 2*t^3.368 + t^3.594 + t^3.622 + t^3.849 + 2*t^4.076 + t^4.302 + t^4.358 + t^4.529 + t^4.585 + t^4.811 + t^5.038 + t^5.066 + t^5.264 + t^5.292 + t^5.547 + t^5.717 + t^5.745 + 2*t^5.773 + t^5.802 - 2*t^6. - t^4.443/y - t^4.443*y | detail |