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 |
|---|---|---|---|---|---|---|---|---|---|
| 55485 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6954 | 0.8879 | 0.7832 | [M:[1.056, 0.7198, 0.8319, 1.1681, 0.8319, 0.6725], q:[0.5162, 0.4278], qb:[0.764, 0.4041], phi:[0.472]] | [M:[[4], [-20], [-12], [12], [-12], [48]], q:[[19], [-23]], qb:[[1], [11]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{6}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{2}$ | ${}M_{2}\phi_{1}\tilde{q}_{2}^{2}$ | -1 | 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^6.052 + 2*t^6.071 + 2*t^6.194 + 3*t^6.336 + 3*t^6.407 + t^6.478 + 3*t^6.531 + t^6.602 + 5*t^6.672 + 2*t^6.743 + t^6.796 + 2*t^6.814 + t^6.867 + 2*t^6.938 + 6*t^7.009 + 3*t^7.151 + t^7.203 + 3*t^7.274 + 3*t^7.345 + 6*t^7.487 + t^7.539 + 2*t^7.61 + 2*t^7.681 + 3*t^7.752 + 5*t^7.823 + t^7.876 + t^7.947 + t^8.017 + t^8.07 + 4*t^8.088 + t^8.159 + 2*t^8.212 + t^8.283 + 5*t^8.354 + 2*t^8.425 - 2*t^8.496 + 3*t^8.548 + 3*t^8.567 + t^8.619 + t^8.638 + 6*t^8.69 - t^8.761 + t^8.813 + 2*t^8.832 + t^8.884 + 4*t^8.903 + 2*t^8.955 + 2*t^8.974 - t^4.416/y - t^6.433/y - t^6.575/y - t^6.912/y + t^7.177/y + (2*t^7.513)/y + (2*t^7.655)/y + t^7.778/y + t^7.849/y + (2*t^7.92)/y + (2*t^7.991)/y + t^8.186/y + (3*t^8.257)/y + (3*t^8.328)/y + t^8.398/y - t^8.451/y + t^8.593/y + (2*t^8.664)/y + t^8.858/y + t^8.929/y - t^4.416*y - t^6.433*y - t^6.575*y - t^6.912*y + t^7.177*y + 2*t^7.513*y + 2*t^7.655*y + t^7.778*y + t^7.849*y + 2*t^7.92*y + 2*t^7.991*y + t^8.186*y + 3*t^8.257*y + 3*t^8.328*y + t^8.398*y - t^8.451*y + t^8.593*y + 2*t^8.664*y + t^8.858*y + t^8.929*y | g1^48*t^2.017 + t^2.159/g1^20 + (2*t^2.496)/g1^12 + g1^30*t^2.761 + t^2.832/g1^4 + g1^4*t^3.168 + t^3.575/g1^22 + g1^20*t^3.841 + t^3.912/g1^14 + g1^96*t^4.035 + 2*g1^28*t^4.177 + t^4.248/g1^6 + t^4.319/g1^40 + 3*g1^36*t^4.513 + (2*t^4.655)/g1^32 + g1^78*t^4.778 + g1^44*t^4.849 + g1^10*t^4.92 + (4*t^4.991)/g1^24 + g1^52*t^5.186 + 2*g1^18*t^5.257 + (3*t^5.328)/g1^16 + g1^60*t^5.522 + 2*g1^26*t^5.593 + (2*t^5.664)/g1^8 + g1^68*t^5.858 + g1^34*t^5.929 - t^6. + g1^144*t^6.052 + (2*t^6.071)/g1^34 + 2*g1^76*t^6.194 + 3*g1^8*t^6.336 + (3*t^6.407)/g1^26 + t^6.478/g1^60 + 3*g1^84*t^6.531 + g1^50*t^6.602 + 5*g1^16*t^6.672 + (2*t^6.743)/g1^18 + g1^126*t^6.796 + (2*t^6.814)/g1^52 + g1^92*t^6.867 + 2*g1^58*t^6.938 + 6*g1^24*t^7.009 + (3*t^7.151)/g1^44 + g1^100*t^7.203 + 3*g1^66*t^7.274 + 3*g1^32*t^7.345 + (6*t^7.487)/g1^36 + g1^108*t^7.539 + 2*g1^74*t^7.61 + 2*g1^40*t^7.681 + 3*g1^6*t^7.752 + (5*t^7.823)/g1^28 + g1^116*t^7.876 + g1^82*t^7.947 + g1^48*t^8.017 + g1^192*t^8.07 + 4*g1^14*t^8.088 + t^8.159/g1^20 + 2*g1^124*t^8.212 + g1^90*t^8.283 + 5*g1^56*t^8.354 + 2*g1^22*t^8.425 - (2*t^8.496)/g1^12 + 3*g1^132*t^8.548 + (3*t^8.567)/g1^46 + g1^98*t^8.619 + t^8.638/g1^80 + 6*g1^64*t^8.69 - g1^30*t^8.761 + g1^174*t^8.813 + (2*t^8.832)/g1^4 + g1^140*t^8.884 + (4*t^8.903)/g1^38 + 2*g1^106*t^8.955 + (2*t^8.974)/g1^72 - t^4.416/(g1^2*y) - (g1^46*t^6.433)/y - t^6.575/(g1^22*y) - t^6.912/(g1^14*y) + (g1^28*t^7.177)/y + (2*g1^36*t^7.513)/y + (2*t^7.655)/(g1^32*y) + (g1^78*t^7.778)/y + (g1^44*t^7.849)/y + (2*g1^10*t^7.92)/y + (2*t^7.991)/(g1^24*y) + (g1^52*t^8.186)/y + (3*g1^18*t^8.257)/y + (3*t^8.328)/(g1^16*y) + t^8.398/(g1^50*y) - (g1^94*t^8.451)/y + (g1^26*t^8.593)/y + (2*t^8.664)/(g1^8*y) + (g1^68*t^8.858)/y + (g1^34*t^8.929)/y - (t^4.416*y)/g1^2 - g1^46*t^6.433*y - (t^6.575*y)/g1^22 - (t^6.912*y)/g1^14 + g1^28*t^7.177*y + 2*g1^36*t^7.513*y + (2*t^7.655*y)/g1^32 + g1^78*t^7.778*y + g1^44*t^7.849*y + 2*g1^10*t^7.92*y + (2*t^7.991*y)/g1^24 + g1^52*t^8.186*y + 3*g1^18*t^8.257*y + (3*t^8.328*y)/g1^16 + (t^8.398*y)/g1^50 - g1^94*t^8.451*y + g1^26*t^8.593*y + (2*t^8.664*y)/g1^8 + g1^68*t^8.858*y + g1^34*t^8.929*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 |
|---|---|---|---|---|---|---|---|---|
| 57037 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ | 0.7006 | 0.8964 | 0.7816 | [M:[1.0565, 0.7176, 0.8306, 1.1694, 0.8306, 0.6777, 0.9435], q:[0.5183, 0.4253], qb:[0.7641, 0.4053], phi:[0.4718]] | t^2.033 + t^2.153 + 2*t^2.492 + t^2.771 + 2*t^2.831 + t^3.568 + t^3.847 + t^3.907 + t^4.066 + 2*t^4.186 + t^4.246 + t^4.306 + 3*t^4.525 + 2*t^4.645 + t^4.804 + 2*t^4.864 + t^4.924 + 5*t^4.983 + 2*t^5.262 + 4*t^5.322 + t^5.541 + 3*t^5.601 + 2*t^5.661 + t^5.88 - 2*t^6. - t^4.415/y - t^4.415*y | detail | |
| 57039 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.716 | 0.9276 | 0.7718 | [M:[1.0558, 0.7211, 0.8326, 1.1674, 0.8326, 0.6694, 0.6953], q:[0.515, 0.4292], qb:[0.7639, 0.4034], phi:[0.4721]] | t^2.008 + t^2.086 + t^2.163 + 2*t^2.498 + t^2.755 + t^2.833 + t^3.167 + t^3.58 + t^3.837 + t^4.017 + t^4.094 + 3*t^4.172 + 2*t^4.249 + t^4.326 + 3*t^4.506 + 2*t^4.584 + 2*t^4.661 + t^4.763 + 2*t^4.841 + 2*t^4.918 + 4*t^4.996 + t^5.176 + 3*t^5.253 + 3*t^5.331 + t^5.51 + 2*t^5.588 + 3*t^5.665 + t^5.845 + t^5.923 - t^6. - t^4.416/y - t^4.416*y | detail | |
| 57038 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.7155 | 0.9254 | 0.7732 | [M:[1.0567, 0.7167, 0.83, 1.17, 0.83, 0.6799, 0.7167], q:[0.5191, 0.4242], qb:[0.7642, 0.4058], phi:[0.4717]] | t^2.04 + 2*t^2.15 + 2*t^2.49 + t^2.775 + t^2.83 + t^3.17 + t^3.565 + t^3.905 + t^4.08 + 3*t^4.19 + t^4.245 + 3*t^4.3 + 3*t^4.53 + 4*t^4.64 + t^4.815 + t^4.87 + 2*t^4.925 + 5*t^4.98 + t^5.21 + 2*t^5.265 + 4*t^5.32 + t^5.55 + 2*t^5.605 + 2*t^5.66 + t^5.715 + t^5.945 - 2*t^6. - t^4.415/y - t^4.415*y | detail | |
| 57036 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6892 | 0.8767 | 0.7861 | [M:[1.0594, 0.7032, 0.8219, 1.1781, 0.8219, 0.7123, 1.0548], q:[0.5319, 0.4087], qb:[0.7648, 0.4132], phi:[0.4703]] | t^2.11 + t^2.137 + 2*t^2.466 + t^2.822 + t^3.165 + t^3.178 + t^3.521 + t^3.877 + t^3.89 + t^4.219 + t^4.233 + 2*t^4.246 + t^4.274 + 2*t^4.575 + 3*t^4.603 + 4*t^4.932 + t^4.959 + t^5.274 + 3*t^5.288 + t^5.301 + t^5.315 + 2*t^5.63 + 2*t^5.644 + t^5.657 + 3*t^5.986 - t^6. - t^4.411/y - t^4.411*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47215 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6746 | 0.8467 | 0.7967 | [M:[1.0563, 0.7183, 0.831, 1.169, 0.831], q:[0.5176, 0.426], qb:[0.7641, 0.4049], phi:[0.4718]] | 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. - t^4.415/y - t^4.415*y | detail |