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 |
|---|---|---|---|---|---|---|---|---|---|
| 56004 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}X_{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6053 | 0.7727 | 0.7834 | [X:[1.3794, 1.3216], M:[0.6206, 0.6784, 1.0, 0.701, 0.8392, 1.0804], q:[0.7701, 0.6093], qb:[0.5515, 0.2299], phi:[0.4598]] | [X:[[-6], [16]], M:[[6], [-16], [0], [10], [-8], [4]], q:[[1], [-7]], qb:[[15], [-1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{2}$, ${ }X_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}^{3}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{2}^{4}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{6}\phi_{1}\tilde{q}_{2}^{2}$ | -2 | t^2.103 + t^2.344 + 2*t^2.518 + t^2.759 + t^3. + t^3.241 + t^3.724 + t^3.965 + t^4.138 + t^4.206 + t^4.447 + 2*t^4.621 + 2*t^4.689 + 3*t^4.862 + 3*t^5.035 + 2*t^5.103 + 2*t^5.276 + 2*t^5.344 + 3*t^5.518 + t^5.586 + 2*t^5.759 - 2*t^6. + 2*t^6.068 - t^6.173 + 2*t^6.241 + 2*t^6.309 - t^6.414 + 3*t^6.482 + t^6.55 + t^6.656 + 2*t^6.724 + 2*t^6.792 - t^6.897 + 3*t^6.965 + 2*t^7.033 + 2*t^7.138 + 5*t^7.206 + 3*t^7.379 + 4*t^7.447 + 3*t^7.553 + 2*t^7.621 + 3*t^7.689 + 2*t^7.794 + 4*t^7.862 + 2*t^7.93 + 4*t^8.035 + t^8.171 + 3*t^8.276 - 2*t^8.344 + 4*t^8.412 - 6*t^8.518 + 2*t^8.586 + 3*t^8.654 - t^8.691 - 2*t^8.759 + 5*t^8.827 + 2*t^8.895 - 2*t^8.932 - t^4.379/y - t^6.482/y - t^6.897/y + t^7.447/y + (2*t^7.621)/y + (4*t^7.862)/y + t^8.035/y + (2*t^8.103)/y + (3*t^8.276)/y + (2*t^8.344)/y + (2*t^8.518)/y + (3*t^8.759)/y + t^8.827/y - t^4.379*y - t^6.482*y - t^6.897*y + t^7.447*y + 2*t^7.621*y + 4*t^7.862*y + t^8.035*y + 2*t^8.103*y + 3*t^8.276*y + 2*t^8.344*y + 2*t^8.518*y + 3*t^8.759*y + t^8.827*y | g1^10*t^2.103 + g1^14*t^2.344 + (2*t^2.518)/g1^8 + t^2.759/g1^4 + t^3. + g1^4*t^3.241 + g1^12*t^3.724 + g1^16*t^3.965 + t^4.138/g1^6 + g1^20*t^4.206 + g1^24*t^4.447 + 2*g1^2*t^4.621 + 2*g1^28*t^4.689 + 3*g1^6*t^4.862 + (3*t^5.035)/g1^16 + 2*g1^10*t^5.103 + (2*t^5.276)/g1^12 + 2*g1^14*t^5.344 + (3*t^5.518)/g1^8 + g1^18*t^5.586 + (2*t^5.759)/g1^4 - 2*t^6. + 2*g1^26*t^6.068 - t^6.173/g1^22 + 2*g1^4*t^6.241 + 2*g1^30*t^6.309 - t^6.414/g1^18 + 3*g1^8*t^6.482 + g1^34*t^6.55 + t^6.656/g1^14 + 2*g1^12*t^6.724 + 2*g1^38*t^6.792 - t^6.897/g1^10 + 3*g1^16*t^6.965 + 2*g1^42*t^7.033 + (2*t^7.138)/g1^6 + 5*g1^20*t^7.206 + (3*t^7.379)/g1^2 + 4*g1^24*t^7.447 + (3*t^7.553)/g1^24 + 2*g1^2*t^7.621 + 3*g1^28*t^7.689 + (2*t^7.794)/g1^20 + 4*g1^6*t^7.862 + 2*g1^32*t^7.93 + (4*t^8.035)/g1^16 + g1^36*t^8.171 + (3*t^8.276)/g1^12 - 2*g1^14*t^8.344 + 4*g1^40*t^8.412 - (6*t^8.518)/g1^8 + 2*g1^18*t^8.586 + 3*g1^44*t^8.654 - t^8.691/g1^30 - (2*t^8.759)/g1^4 + 5*g1^22*t^8.827 + 2*g1^48*t^8.895 - (2*t^8.932)/g1^26 - t^4.379/(g1^2*y) - (g1^8*t^6.482)/y - t^6.897/(g1^10*y) + (g1^24*t^7.447)/y + (2*g1^2*t^7.621)/y + (4*g1^6*t^7.862)/y + t^8.035/(g1^16*y) + (2*g1^10*t^8.103)/y + (3*t^8.276)/(g1^12*y) + (2*g1^14*t^8.344)/y + (2*t^8.518)/(g1^8*y) + (3*t^8.759)/(g1^4*y) + (g1^22*t^8.827)/y - (t^4.379*y)/g1^2 - g1^8*t^6.482*y - (t^6.897*y)/g1^10 + g1^24*t^7.447*y + 2*g1^2*t^7.621*y + 4*g1^6*t^7.862*y + (t^8.035*y)/g1^16 + 2*g1^10*t^8.103*y + (3*t^8.276*y)/g1^12 + 2*g1^14*t^8.344*y + (2*t^8.518*y)/g1^8 + (3*t^8.759*y)/g1^4 + g1^22*t^8.827*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 |
|---|---|---|---|---|---|---|---|---|
| 57890 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}X_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$ | 0.598 | 0.7613 | 0.7855 | [X:[1.3837, 1.31], M:[0.6163, 0.69, 1.0, 0.6938, 0.845, 1.0775, 1.0775], q:[0.7694, 0.6144], qb:[0.5407, 0.2306], phi:[0.4612]] | t^2.081 + t^2.314 + 2*t^2.535 + t^3. + 2*t^3.233 + t^3.698 + t^3.93 + t^4.151 + t^4.163 + t^4.395 + 2*t^4.616 + 2*t^4.628 + 2*t^4.849 + 3*t^5.07 + t^5.081 + 3*t^5.314 + 2*t^5.535 + 2*t^5.546 + 3*t^5.767 - 3*t^6. - t^4.384/y - t^4.384*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 |
|---|---|---|---|---|---|---|---|---|---|
| 48302 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{2}X_{2}$ | 0.6128 | 0.7847 | 0.781 | [X:[1.375, 1.3333], M:[0.625, 0.6667, 1.0, 0.7083, 0.8333], q:[0.7708, 0.6042], qb:[0.5625, 0.2292], phi:[0.4583]] | t^2.125 + t^2.375 + 2*t^2.5 + 2*t^2.75 + t^3. + t^3.75 + t^4. + t^4.125 + t^4.25 + t^4.5 + 2*t^4.625 + 2*t^4.75 + 4*t^4.875 + 3*t^5. + 3*t^5.125 + 4*t^5.25 + t^5.375 + 5*t^5.5 + t^5.75 - 3*t^6. - t^4.375/y - t^4.375*y | detail | {a: 1255/2048, c: 1607/2048, X1: 11/8, X2: 4/3, M1: 5/8, M2: 2/3, M3: 1, M4: 17/24, M5: 5/6, q1: 37/48, q2: 29/48, qb1: 9/16, qb2: 11/48, phi1: 11/24} |