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 |
|---|---|---|---|---|---|---|---|---|---|
| 8225 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ | 1.1761 | 1.3049 | 0.9013 | [X:[1.6466], M:[0.8835, 0.8835], q:[0.4699, 0.4699], qb:[], phi:[0.1767]] | [X:[[0, 2]], M:[[2, -11], [-2, 1]], q:[[-1, 6], [1, 0]], qb:[], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^4$, $ M_1$, $ M_2$, $ q_1q_2$, $ \phi_1q_1q_2$, $ \phi_1^2q_1q_2$, $ \phi_1^8$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ M_1\phi_1^4$, $ M_2\phi_1^4$, $ \phi_1^4q_1q_2$, $ X_1$, $ M_1^2$, $ M_1M_2$, $ M_2^2$, $ M_1q_1q_2$, $ \phi_1^5q_1q_2$, $ M_2q_1q_2$, $ q_1^2q_2^2$ | $\phi_1^6q_1q_2$ | -1 | t^2.12 + 2*t^2.65 + t^2.82 + t^3.35 + t^3.88 + t^4.24 + 3*t^4.41 + 2*t^4.77 + 2*t^4.94 + 3*t^5.3 + 3*t^5.47 + t^5.64 - t^6. + t^6.17 + t^6.36 + 2*t^6.53 + 2*t^6.7 + 2*t^6.89 + 5*t^7.06 + 4*t^7.23 + 3*t^7.42 + 2*t^7.59 + 5*t^7.76 + 4*t^7.95 + 3*t^8.12 + 4*t^8.29 + t^8.46 + t^8.48 - 4*t^8.65 + 5*t^8.82 + t^8.99 + t^8.12/y^2 - t^8.65/y^2 - t^3.53/y - t^4.59/y - t^5.65/y - (2*t^6.18)/y - t^6.35/y - t^6.71/y - t^6.88/y - (2*t^7.24)/y - t^7.41/y + t^7.77/y - t^8.3/y + (2*t^8.47)/y - (4*t^8.83)/y - t^3.53*y - t^4.59*y - t^5.65*y - 2*t^6.18*y - t^6.35*y - t^6.71*y - t^6.88*y - 2*t^7.24*y - t^7.41*y + t^7.77*y - t^8.3*y + 2*t^8.47*y - 4*t^8.83*y + t^8.12*y^2 - t^8.65*y^2 | t^2.12/g2^4 + (g1^2*t^2.65)/g2^11 + (g2*t^2.65)/g1^2 + g2^6*t^2.82 + g2^5*t^3.35 + g2^4*t^3.88 + t^4.24/g2^8 + (g1^2*t^4.41)/g2^3 + g2^3*t^4.41 + (g2^9*t^4.41)/g1^2 + (g1^2*t^4.77)/g2^15 + t^4.77/(g1^2*g2^3) + 2*g2^2*t^4.94 + (g1^4*t^5.3)/g2^22 + t^5.3/g2^10 + (g2^2*t^5.3)/g1^4 + (g1^2*t^5.47)/g2^5 + g2*t^5.47 + (g2^7*t^5.47)/g1^2 + g2^12*t^5.64 - t^6. + g2^11*t^6.17 + t^6.36/g2^12 + (g1^2*t^6.53)/g2^7 + (g2^5*t^6.53)/g1^2 + 2*g2^10*t^6.7 + (g1^2*t^6.89)/g2^19 + t^6.89/(g1^2*g2^7) + (g1^4*t^7.06)/g2^14 + (3*t^7.06)/g2^2 + (g2^10*t^7.06)/g1^4 + g1^2*g2^3*t^7.23 + 2*g2^9*t^7.23 + (g2^15*t^7.23)/g1^2 + (g1^4*t^7.42)/g2^26 + t^7.42/g2^14 + t^7.42/(g1^4*g2^2) + (g1^2*t^7.59)/g2^9 + (g2^3*t^7.59)/g1^2 + g1^2*g2^2*t^7.76 + 3*g2^8*t^7.76 + (g2^14*t^7.76)/g1^2 + (g1^6*t^7.95)/g2^33 + (g1^2*t^7.95)/g2^21 + t^7.95/(g1^2*g2^9) + (g2^3*t^7.95)/g1^6 + (g1^4*t^8.12)/g2^16 + t^8.12/g2^4 + (g2^8*t^8.12)/g1^4 + g1^2*g2*t^8.29 + 2*g2^7*t^8.29 + (g2^13*t^8.29)/g1^2 + g2^18*t^8.46 + t^8.48/g2^16 - (g1^2*t^8.65)/g2^11 - (2*t^8.65)/g2^5 - (g2*t^8.65)/g1^2 + g1^2*t^8.82 + (g1^4*t^8.82)/g2^6 + g2^6*t^8.82 + (g2^12*t^8.82)/g1^2 + (g2^18*t^8.82)/g1^4 + g2^17*t^8.99 + t^8.12/(g2^4*y^2) - t^8.65/(g2^5*y^2) - t^3.53/(g2*y) - t^4.59/(g2^3*y) - t^5.65/(g2^5*y) - t^6.18/(g1^2*y) - (g1^2*t^6.18)/(g2^12*y) - (g2^5*t^6.35)/y - t^6.71/(g2^7*y) - (g2^4*t^6.88)/y - (g1^2*t^7.24)/(g2^14*y) - t^7.24/(g1^2*g2^2*y) - (g2^3*t^7.41)/y + (g1^2*t^7.77)/(g2^15*y) - t^7.77/(g2^9*y) + t^7.77/(g1^2*g2^3*y) - (g1^2*t^8.3)/(g2^16*y) + t^8.3/(g2^10*y) - t^8.3/(g1^2*g2^4*y) + (g1^2*t^8.47)/(g2^5*y) + (g2^7*t^8.47)/(g1^2*y) - (g1^4*t^8.83)/(g2^23*y) - (2*t^8.83)/(g2^11*y) - (g2*t^8.83)/(g1^4*y) - (t^3.53*y)/g2 - (t^4.59*y)/g2^3 - (t^5.65*y)/g2^5 - (t^6.18*y)/g1^2 - (g1^2*t^6.18*y)/g2^12 - g2^5*t^6.35*y - (t^6.71*y)/g2^7 - g2^4*t^6.88*y - (g1^2*t^7.24*y)/g2^14 - (t^7.24*y)/(g1^2*g2^2) - g2^3*t^7.41*y + (g1^2*t^7.77*y)/g2^15 - (t^7.77*y)/g2^9 + (t^7.77*y)/(g1^2*g2^3) - (g1^2*t^8.3*y)/g2^16 + (t^8.3*y)/g2^10 - (t^8.3*y)/(g1^2*g2^4) + (g1^2*t^8.47*y)/g2^5 + (g2^7*t^8.47*y)/g1^2 - (g1^4*t^8.83*y)/g2^23 - (2*t^8.83*y)/g2^11 - (g2*t^8.83*y)/g1^4 + (t^8.12*y^2)/g2^4 - (t^8.65*y^2)/g2^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8472 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_1^2$ | 1.1673 | 1.2995 | 0.8983 | [X:[1.6283], M:[1.0, 0.8587], q:[0.4071, 0.4777], qb:[], phi:[0.1859]] | t^2.23 + t^2.58 + t^2.65 + t^3. + t^3.21 + t^3.77 + t^4.12 + t^4.33 + t^4.46 + t^4.54 + t^4.81 + 2*t^4.88 + t^5.15 + 2*t^5.23 + t^5.31 + t^5.44 + t^5.58 + t^5.65 + t^5.87 - t^3.56/y - t^4.67/y - t^5.79/y - t^3.56*y - t^4.67*y - t^5.79*y | detail | |
| 8471 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ | 1.1194 | 1.2595 | 0.8888 | [X:[1.5861], M:[0.8976, 1.1721], q:[0.4477, 0.3105], qb:[], phi:[0.207]] | t^2.27 + t^2.48 + t^2.69 + t^2.9 + 2*t^3.52 + t^3.73 + t^4.14 + 2*t^4.55 + 2*t^4.76 + 2*t^4.97 + t^5.17 + t^5.18 + t^5.38 + t^5.39 + 3*t^5.79 + t^6. - t^3.62/y - t^4.86/y - t^5.9/y - t^3.62*y - t^4.86*y - t^5.9*y | detail | |
| 8482 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_3\phi_1q_1q_2$ | 1.1875 | 1.3233 | 0.8974 | [X:[1.6558], M:[0.8605, 0.8605, 0.8605], q:[0.4837, 0.4837], qb:[], phi:[0.1721]] | t^2.07 + 3*t^2.58 + t^2.9 + t^3.93 + t^4.13 + 3*t^4.45 + 3*t^4.65 + 2*t^4.97 + 6*t^5.16 + 3*t^5.48 + t^5.8 - 3*t^6. - t^3.52/y - t^4.55/y - t^5.58/y - t^3.52*y - t^4.55*y - t^5.58*y | detail | |
| 8483 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_3\phi_1^2q_1q_2$ | 1.1965 | 1.3435 | 0.8906 | [X:[1.6484], M:[0.8789, 0.8789, 0.7031], q:[0.4727, 0.4727], qb:[], phi:[0.1758]] | 2*t^2.11 + 2*t^2.64 + t^2.84 + t^3.36 + 3*t^4.22 + 3*t^4.42 + 4*t^4.75 + 3*t^4.95 + 3*t^5.27 + 4*t^5.47 + t^5.67 - 2*t^6. - t^3.53/y - t^4.58/y - (2*t^5.64)/y - t^3.53*y - t^4.58*y - 2*t^5.64*y | detail | |
| 8480 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ q_1^2q_2^2$ + $ \phi_1^4X_2$ | 1.151 | 1.2552 | 0.917 | [X:[1.6667, 1.3333], M:[0.8333, 0.8333], q:[0.5, 0.5], qb:[], phi:[0.1667]] | 2*t^2.5 + t^3. + t^3.5 + 2*t^4. + 3*t^4.5 + 4*t^5. + 2*t^5.5 - t^6. - t^3.5/y - t^4.5/y - (2*t^6.)/y - t^3.5*y - t^4.5*y - 2*t^6.*y | detail | {a: 221/192, c: 241/192, X1: 5/3, X2: 4/3, M1: 5/6, M2: 5/6, q1: 1/2, q2: 1/2, phi1: 1/6} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 8191 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ | 1.1686 | 1.2966 | 0.9013 | [X:[1.6354], M:[0.8685], q:[0.4746, 0.4317], qb:[], phi:[0.1823]] | t^2.19 + t^2.61 + t^2.72 + t^3.14 + t^3.27 + t^3.81 + t^4.23 + t^4.36 + t^4.37 + t^4.49 + t^4.79 + 2*t^4.91 + t^5.21 + 2*t^5.32 + t^5.44 + t^5.45 + t^5.74 + t^5.86 + t^5.98 - t^6. - t^3.55/y - t^4.64/y - t^5.73/y - t^3.55*y - t^4.64*y - t^5.73*y | detail |