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 |
|---|---|---|---|---|---|---|---|---|---|
| 1522 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6503 | 0.8152 | 0.7977 | [M:[1.0329, 0.8826, 1.1174, 0.7981, 1.2019, 0.723], q:[0.5258, 0.4413], qb:[0.3568, 0.7606], phi:[0.4789]] | [M:[[-38], [14], [-14], [-10], [10], [16]], q:[[31], [7]], qb:[[-17], [3]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{4}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | ${}$ | -1 | t^2.169 + t^2.394 + t^2.648 + t^2.873 + t^3.099 + t^3.352 + t^3.578 + t^3.606 + t^3.859 + 2*t^4.084 + 2*t^4.338 + t^4.563 + t^4.591 + t^4.789 + t^4.817 + 2*t^5.042 + 2*t^5.268 + t^5.296 + 2*t^5.521 + 2*t^5.747 + t^5.775 + 2*t^5.972 - t^6. + t^6.028 + t^6.197 + t^6.225 + t^6.253 + 2*t^6.451 + t^6.479 + 2*t^6.507 + t^6.676 + 3*t^6.732 + t^6.76 + 3*t^6.958 + 2*t^6.986 + t^7.155 + t^7.183 + 2*t^7.211 + t^7.239 + 3*t^7.437 + 2*t^7.465 + 2*t^7.662 + 3*t^7.69 + 2*t^7.916 + 3*t^7.944 + 2*t^8.141 + t^8.169 + 2*t^8.197 + 2*t^8.366 + t^8.422 + t^8.451 + 3*t^8.62 - 2*t^8.648 + 4*t^8.676 + 3*t^8.845 - t^8.873 + t^8.901 + 2*t^8.929 - t^4.437/y - t^6.606/y - t^7.31/y + t^7.338/y - t^7.535/y + (2*t^7.563)/y + t^7.817/y + (2*t^8.042)/y + (3*t^8.268)/y + t^8.493/y + (2*t^8.521)/y + (3*t^8.747)/y + (2*t^8.972)/y - t^4.437*y - t^6.606*y - t^7.31*y + t^7.338*y - t^7.535*y + 2*t^7.563*y + t^7.817*y + 2*t^8.042*y + 3*t^8.268*y + t^8.493*y + 2*t^8.521*y + 3*t^8.747*y + 2*t^8.972*y | g1^16*t^2.169 + t^2.394/g1^10 + g1^14*t^2.648 + t^2.873/g1^12 + t^3.099/g1^38 + t^3.352/g1^14 + t^3.578/g1^40 + g1^10*t^3.606 + g1^34*t^3.859 + 2*g1^8*t^4.084 + 2*g1^32*t^4.338 + g1^6*t^4.563 + g1^56*t^4.591 + t^4.789/g1^20 + g1^30*t^4.817 + 2*g1^4*t^5.042 + (2*t^5.268)/g1^22 + g1^28*t^5.296 + 2*g1^2*t^5.521 + (2*t^5.747)/g1^24 + g1^26*t^5.775 + (2*t^5.972)/g1^50 - t^6. + g1^50*t^6.028 + t^6.197/g1^76 + t^6.225/g1^26 + g1^24*t^6.253 + (2*t^6.451)/g1^52 + t^6.479/g1^2 + 2*g1^48*t^6.507 + t^6.676/g1^78 + 3*g1^22*t^6.732 + g1^72*t^6.76 + (3*t^6.958)/g1^4 + 2*g1^46*t^6.986 + t^7.155/g1^80 + t^7.183/g1^30 + 2*g1^20*t^7.211 + g1^70*t^7.239 + (3*t^7.437)/g1^6 + 2*g1^44*t^7.465 + (2*t^7.662)/g1^32 + 3*g1^18*t^7.69 + (2*t^7.916)/g1^8 + 3*g1^42*t^7.944 + (2*t^8.141)/g1^34 + g1^16*t^8.169 + 2*g1^66*t^8.197 + (2*t^8.366)/g1^60 + g1^40*t^8.422 + g1^90*t^8.451 + (3*t^8.62)/g1^36 - 2*g1^14*t^8.648 + 4*g1^64*t^8.676 + (3*t^8.845)/g1^62 - t^8.873/g1^12 + g1^38*t^8.901 + 2*g1^88*t^8.929 - t^4.437/(g1^6*y) - (g1^10*t^6.606)/y - t^7.31/(g1^18*y) + (g1^32*t^7.338)/y - t^7.535/(g1^44*y) + (2*g1^6*t^7.563)/y + (g1^30*t^7.817)/y + (2*g1^4*t^8.042)/y + (3*t^8.268)/(g1^22*y) + t^8.493/(g1^48*y) + (2*g1^2*t^8.521)/y + (3*t^8.747)/(g1^24*y) + (2*t^8.972)/(g1^50*y) - (t^4.437*y)/g1^6 - g1^10*t^6.606*y - (t^7.31*y)/g1^18 + g1^32*t^7.338*y - (t^7.535*y)/g1^44 + 2*g1^6*t^7.563*y + g1^30*t^7.817*y + 2*g1^4*t^8.042*y + (3*t^8.268*y)/g1^22 + (t^8.493*y)/g1^48 + 2*g1^2*t^8.521*y + (3*t^8.747*y)/g1^24 + (2*t^8.972*y)/g1^50 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2610 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{7}$ | 0.64 | 0.7978 | 0.8023 | [M:[1.0144, 0.8894, 1.1106, 0.7933, 1.2067, 0.7308, 1.1106], q:[0.5409, 0.4447], qb:[0.3485, 0.762], phi:[0.476]] | t^2.192 + t^2.38 + t^2.856 + t^3.043 + 2*t^3.332 + t^3.519 + t^3.62 + t^3.909 + 2*t^4.096 + 2*t^4.385 + t^4.572 + t^4.673 + t^4.76 + t^5.048 + 2*t^5.236 + 2*t^5.524 + 2*t^5.711 + t^5.813 + 2*t^5.899 - 2*t^6. - t^4.428/y - t^4.428*y | detail | |
| 2612 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ | 0.6611 | 0.834 | 0.7927 | [M:[1.0508, 0.876, 1.124, 0.8028, 1.1972, 0.7155, 0.876], q:[0.5112, 0.438], qb:[0.3648, 0.7591], phi:[0.4817]] | t^2.146 + t^2.409 + 2*t^2.628 + t^2.89 + t^3.152 + t^3.591 + t^3.634 + t^3.811 + 2*t^4.073 + 2*t^4.293 + t^4.512 + t^4.555 + 2*t^4.774 + t^4.817 + 3*t^5.037 + 3*t^5.256 + 2*t^5.299 + 2*t^5.518 + t^5.738 + 2*t^5.78 + t^5.957 - 2*t^6. - t^4.445/y - t^4.445*y | detail | |
| 2613 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ | 0.667 | 0.8445 | 0.7898 | [M:[1.0236, 0.886, 1.114, 0.7957, 1.2043, 0.7269, 0.7957], q:[0.5334, 0.443], qb:[0.3527, 0.7613], phi:[0.4774]] | t^2.181 + 2*t^2.387 + t^2.658 + t^2.864 + t^3.071 + t^3.342 + t^3.548 + t^3.884 + 2*t^4.09 + 2*t^4.361 + 2*t^4.568 + t^4.632 + 3*t^4.774 + t^4.839 + 3*t^5.045 + 3*t^5.252 + t^5.316 + t^5.458 + 2*t^5.523 + 3*t^5.729 + 3*t^5.935 - 2*t^6. - t^4.432/y - t^4.432*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 |
|---|---|---|---|---|---|---|---|---|---|
| 980 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{2}M_{3}$ | 0.6303 | 0.778 | 0.8102 | [M:[1.0252, 0.8855, 1.1145, 0.7961, 1.2039], q:[0.5321, 0.4427], qb:[0.3534, 0.7612], phi:[0.4777]] | t^2.388 + t^2.656 + t^2.866 + t^3.075 + t^3.344 + t^3.553 + t^3.612 + t^3.821 + t^3.88 + 2*t^4.089 + t^4.357 + t^4.626 + t^4.777 + t^5.045 + t^5.254 + t^5.313 + t^5.522 + t^5.732 + 2*t^5.941 - t^6. - t^4.433/y - t^4.433*y | detail |