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 |
|---|---|---|---|---|---|---|---|---|---|
| 55012 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{4}$ | 0.6808 | 0.8526 | 0.7985 | [M:[1.187, 0.9426, 0.813, 0.813, 0.9426, 0.7481], q:[0.4065, 0.4065], qb:[0.6509, 0.7806], phi:[0.4389]] | [M:[[2], [-22], [-2], [-2], [-22], [8]], q:[[-1], [-1]], qb:[[23], [3]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{3}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$ | ${}M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{6}\phi_{1}q_{2}^{2}$ | -1 | t^2.244 + 2*t^2.439 + t^2.633 + 2*t^2.828 + t^3.561 + 2*t^3.756 + t^4.294 + 3*t^4.489 + 2*t^4.683 + 4*t^4.878 + 4*t^5.072 + t^5.222 + 3*t^5.267 + 2*t^5.461 + 3*t^5.656 + t^5.806 - t^6. + 3*t^6.194 + 3*t^6.389 + t^6.539 + 2*t^6.583 + 2*t^6.733 + 4*t^6.928 + 4*t^7.122 + 8*t^7.317 + t^7.467 + 8*t^7.511 + t^7.661 + 6*t^7.706 + 6*t^7.9 + t^8.05 + 5*t^8.095 - t^8.244 + 3*t^8.289 - 4*t^8.439 + 4*t^8.483 + 2*t^8.633 + 2*t^8.783 - 2*t^8.828 + 3*t^8.978 - t^4.317/y - t^6.561/y - t^6.756/y - t^6.95/y - (2*t^7.145)/y + (2*t^7.489)/y + (3*t^7.683)/y + (3*t^7.878)/y + (5*t^8.072)/y + (4*t^8.267)/y + (2*t^8.461)/y + t^8.656/y - t^4.317*y - t^6.561*y - t^6.756*y - t^6.95*y - 2*t^7.145*y + 2*t^7.489*y + 3*t^7.683*y + 3*t^7.878*y + 5*t^8.072*y + 4*t^8.267*y + 2*t^8.461*y + t^8.656*y | g1^8*t^2.244 + (2*t^2.439)/g1^2 + t^2.633/g1^12 + (2*t^2.828)/g1^22 + g1^2*t^3.561 + (2*t^3.756)/g1^8 + g1^26*t^4.294 + 3*g1^16*t^4.489 + 2*g1^6*t^4.683 + (4*t^4.878)/g1^4 + (4*t^5.072)/g1^14 + g1^40*t^5.222 + (3*t^5.267)/g1^24 + (2*t^5.461)/g1^34 + (3*t^5.656)/g1^44 + g1^10*t^5.806 - t^6. + (3*t^6.194)/g1^10 + (3*t^6.389)/g1^20 + g1^34*t^6.539 + (2*t^6.583)/g1^30 + 2*g1^24*t^6.733 + 4*g1^14*t^6.928 + 4*g1^4*t^7.122 + (8*t^7.317)/g1^6 + g1^48*t^7.467 + (8*t^7.511)/g1^16 + g1^38*t^7.661 + (6*t^7.706)/g1^26 + (6*t^7.9)/g1^36 + g1^18*t^8.05 + (5*t^8.095)/g1^46 - g1^8*t^8.244 + (3*t^8.289)/g1^56 - (4*t^8.439)/g1^2 + (4*t^8.483)/g1^66 + (2*t^8.633)/g1^12 + 2*g1^42*t^8.783 - (2*t^8.828)/g1^22 + 3*g1^32*t^8.978 - t^4.317/(g1^6*y) - (g1^2*t^6.561)/y - t^6.756/(g1^8*y) - t^6.95/(g1^18*y) - (2*t^7.145)/(g1^28*y) + (2*g1^16*t^7.489)/y + (3*g1^6*t^7.683)/y + (3*t^7.878)/(g1^4*y) + (5*t^8.072)/(g1^14*y) + (4*t^8.267)/(g1^24*y) + (2*t^8.461)/(g1^34*y) + t^8.656/(g1^44*y) - (t^4.317*y)/g1^6 - g1^2*t^6.561*y - (t^6.756*y)/g1^8 - (t^6.95*y)/g1^18 - (2*t^7.145*y)/g1^28 + 2*g1^16*t^7.489*y + 3*g1^6*t^7.683*y + (3*t^7.878*y)/g1^4 + (5*t^8.072*y)/g1^14 + (4*t^8.267*y)/g1^24 + (2*t^8.461*y)/g1^34 + (t^8.656*y)/g1^44 |
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 |
|---|---|---|---|---|---|---|---|---|
| 56677 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{7}$ | 0.6965 | 0.8801 | 0.7914 | [M:[1.1873, 0.9393, 0.8127, 0.8127, 0.9393, 0.7493, 0.8127], q:[0.4063, 0.4063], qb:[0.6543, 0.781], phi:[0.438]] | t^2.248 + 3*t^2.438 + t^2.628 + 2*t^2.818 + 2*t^3.752 + t^4.306 + 3*t^4.496 + 3*t^4.686 + 7*t^4.876 + 5*t^5.066 + t^5.24 + 5*t^5.256 + 2*t^5.446 + 3*t^5.636 - 3*t^6. - t^4.314/y - t^4.314*y | detail | |
| 56675 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{6}M_{7}$ | 0.6618 | 0.8182 | 0.8088 | [M:[1.1878, 0.9341, 0.8122, 0.8122, 0.9341, 0.7512, 1.2488], q:[0.4061, 0.4061], qb:[0.6598, 0.7817], phi:[0.4366]] | 2*t^2.437 + t^2.619 + 2*t^2.802 + t^3.563 + 3*t^3.746 + t^4.325 + 2*t^4.507 + 3*t^4.873 + 2*t^5.056 + 3*t^5.239 + t^5.269 + 2*t^5.422 + 3*t^5.604 - 3*t^6. - t^4.31/y - t^4.31*y | detail | |
| 56676 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6704 | 0.8348 | 0.8031 | [M:[1.1847, 0.9683, 0.8153, 0.8153, 0.9683, 0.7388, 1.1082], q:[0.4077, 0.4077], qb:[0.624, 0.777], phi:[0.4459]] | t^2.216 + 2*t^2.446 + 2*t^2.905 + t^3.325 + t^3.554 + 2*t^3.784 + t^4.203 + 3*t^4.433 + 2*t^4.662 + 3*t^4.892 + t^5.082 + 2*t^5.121 + 2*t^5.351 + t^5.541 + 3*t^5.77 + 3*t^5.81 - t^6. - t^4.338/y - t^4.338*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46820 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{1}q_{2}$ | 0.6898 | 0.8671 | 0.7956 | [M:[1.1511, 0.9905, 0.8489, 0.7331, 0.8747, 0.7202], q:[0.3665, 0.4824], qb:[0.6429, 0.7846], phi:[0.4309]] | t^2.161 + t^2.199 + t^2.547 + t^2.585 + t^2.624 + t^2.972 + t^3.453 + t^3.492 + t^4.187 + t^4.282 + 2*t^4.321 + t^4.36 + t^4.398 + t^4.669 + t^4.707 + 2*t^4.746 + 2*t^4.785 + t^4.823 + t^5.094 + 2*t^5.132 + t^5.15 + 2*t^5.171 + t^5.209 + t^5.248 + t^5.557 + t^5.596 + t^5.614 + t^5.652 + t^5.691 + t^5.943 - 2*t^6. - t^4.293/y - t^4.293*y | detail |