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 |
|---|---|---|---|---|---|---|---|---|---|
| 8219 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ | 1.1618 | 1.2816 | 0.9065 | [X:[1.649], M:[1.0529, 0.8372], q:[0.4937, 0.4535], qb:[], phi:[0.1755]] | [X:[[0, 2]], M:[[0, -6], [2, -11]], 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_2$, $ M_1$, $ \phi_1q_2^2$, $ \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_2\phi_1^4$, $ X_1$, $ M_2^2$, $ M_1\phi_1^4$, $ \phi_1^5q_2^2$, $ \phi_1^5q_1q_2$, $ M_1M_2$, $ M_2\phi_1q_2^2$ | $\phi_1^6q_1q_2$ | -1 | t^2.11 + t^2.51 + t^3.16 + t^3.25 + t^3.37 + t^3.89 + t^4.21 + t^4.3 + t^4.42 + t^4.54 + t^4.62 + t^4.95 + t^5.02 + t^5.26 + t^5.35 + t^5.47 + t^5.67 + t^5.76 - t^6. - t^6.12 + 2*t^6.32 + 2*t^6.41 + t^6.49 + t^6.53 + t^6.62 + t^6.72 + t^6.74 + t^6.81 + 2*t^7.05 + t^7.13 + t^7.14 - t^7.17 + t^7.26 + t^7.37 + 2*t^7.46 + t^7.53 + t^7.55 + t^7.58 + 2*t^7.67 + t^7.78 + 2*t^7.79 + t^7.86 + t^7.91 + t^8.11 + t^8.18 + t^8.19 - t^8.23 + t^8.27 + t^8.32 + 2*t^8.42 + 2*t^8.6 - t^8.63 + 2*t^8.72 + 2*t^8.83 + 2*t^8.84 + 2*t^8.92 + t^8.96 + t^8.11/y^2 - t^8.63/y^2 - t^3.53/y - t^4.58/y - t^5.63/y - t^6.04/y - (2*t^6.68)/y - t^6.77/y - t^6.89/y - t^7.09/y + t^7.62/y - (2*t^7.74)/y - t^7.83/y - t^7.95/y - t^8.14/y + t^8.26/y + t^8.35/y + t^8.47/y - t^8.55/y + t^8.67/y + t^8.76/y - (2*t^8.79)/y - t^3.53*y - t^4.58*y - t^5.63*y - t^6.04*y - 2*t^6.68*y - t^6.77*y - t^6.89*y - t^7.09*y + t^7.62*y - 2*t^7.74*y - t^7.83*y - t^7.95*y - t^8.14*y + t^8.26*y + t^8.35*y + t^8.47*y - t^8.55*y + t^8.67*y + t^8.76*y - 2*t^8.79*y + t^8.11*y^2 - t^8.63*y^2 | t^2.11/g2^4 + (g1^2*t^2.51)/g2^11 + t^3.16/g2^6 + (g1^2*t^3.25)/g2 + g2^5*t^3.37 + g2^4*t^3.89 + t^4.21/g2^8 + (g1^2*t^4.3)/g2^3 + g2^3*t^4.42 + (g2^9*t^4.54)/g1^2 + (g1^2*t^4.62)/g2^15 + g2^2*t^4.95 + (g1^4*t^5.02)/g2^22 + t^5.26/g2^10 + (g1^2*t^5.35)/g2^5 + g2*t^5.47 + (g1^2*t^5.67)/g2^17 + (g1^4*t^5.76)/g2^12 - t^6. - (g2^6*t^6.12)/g1^2 + (2*t^6.32)/g2^12 + (2*g1^2*t^6.41)/g2^7 + (g1^4*t^6.49)/g2^2 + t^6.53/g2 + g1^2*g2^4*t^6.62 + (g1^2*t^6.72)/g2^19 + g2^10*t^6.74 + (g1^4*t^6.81)/g2^14 + (2*t^7.05)/g2^2 + (g1^4*t^7.13)/g2^26 + g1^2*g2^3*t^7.14 - (g2^4*t^7.17)/g1^2 + g2^9*t^7.26 + t^7.37/g2^14 + (2*g1^2*t^7.46)/g2^9 + (g1^6*t^7.53)/g2^33 + (g1^4*t^7.55)/g2^4 + t^7.58/g2^3 + 2*g1^2*g2^2*t^7.67 + (g1^2*t^7.78)/g2^21 + 2*g2^8*t^7.79 + (g1^4*t^7.86)/g2^16 + (g2^14*t^7.91)/g1^2 + t^8.11/g2^4 + (g1^4*t^8.18)/g2^28 + g1^2*g2*t^8.19 - (g2^2*t^8.23)/g1^2 + (g1^6*t^8.27)/g2^23 + g2^7*t^8.32 + (2*t^8.42)/g2^16 + (2*g1^4*t^8.6)/g2^6 - t^8.63/g2^5 + 2*g1^2*t^8.72 + (2*g1^2*t^8.83)/g2^23 + 2*g2^6*t^8.84 + (2*g1^4*t^8.92)/g2^18 + (g2^12*t^8.96)/g1^2 + t^8.11/(g2^4*y^2) - t^8.63/(g2^5*y^2) - t^3.53/(g2*y) - t^4.58/(g2^3*y) - t^5.63/(g2^5*y) - (g1^2*t^6.04)/(g2^12*y) - (2*t^6.68)/(g2^7*y) - (g1^2*t^6.77)/(g2^2*y) - (g2^4*t^6.89)/y - (g1^2*t^7.09)/(g2^14*y) + (g1^2*t^7.62)/(g2^15*y) - (2*t^7.74)/(g2^9*y) - (g1^2*t^7.83)/(g2^4*y) - (g2^2*t^7.95)/y - (g1^2*t^8.14)/(g2^16*y) + t^8.26/(g2^10*y) + (g1^2*t^8.35)/(g2^5*y) + (g2*t^8.47)/y - (g1^4*t^8.55)/(g2^23*y) + (g1^2*t^8.67)/(g2^17*y) + (g1^4*t^8.76)/(g2^12*y) - (2*t^8.79)/(g2^11*y) - (t^3.53*y)/g2 - (t^4.58*y)/g2^3 - (t^5.63*y)/g2^5 - (g1^2*t^6.04*y)/g2^12 - (2*t^6.68*y)/g2^7 - (g1^2*t^6.77*y)/g2^2 - g2^4*t^6.89*y - (g1^2*t^7.09*y)/g2^14 + (g1^2*t^7.62*y)/g2^15 - (2*t^7.74*y)/g2^9 - (g1^2*t^7.83*y)/g2^4 - g2^2*t^7.95*y - (g1^2*t^8.14*y)/g2^16 + (t^8.26*y)/g2^10 + (g1^2*t^8.35*y)/g2^5 + g2*t^8.47*y - (g1^4*t^8.55*y)/g2^23 + (g1^2*t^8.67*y)/g2^17 + (g1^4*t^8.76*y)/g2^12 - (2*t^8.79*y)/g2^11 + (t^8.11*y^2)/g2^4 - (t^8.63*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 |
|---|---|---|---|---|---|---|---|---|
| 8438 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ | 1.1738 | 1.3011 | 0.9021 | [X:[1.6588], M:[1.0235, 0.8153, 0.8529], q:[0.5071, 0.4695], qb:[], phi:[0.1706]] | t^2.05 + t^2.45 + t^2.56 + t^3.07 + t^3.33 + t^3.95 + t^4.09 + t^4.35 + t^4.46 + t^4.49 + t^4.58 + t^4.61 + t^4.89 + t^4.98 + t^5. + 2*t^5.12 + t^5.38 + t^5.52 + t^5.63 + t^5.77 - t^6. - t^3.51/y - t^4.54/y - t^5.56/y - t^5.96/y - t^3.51*y - t^4.54*y - t^5.56*y - t^5.96*y | detail | |
| 8436 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ | 1.1723 | 1.2973 | 0.9036 | [X:[1.6599], M:[1.0202, 0.8501, 0.8501], q:[0.4899, 0.4899], qb:[], phi:[0.17]] | t^2.04 + 2*t^2.55 + t^3.06 + t^3.45 + t^3.96 + t^4.08 + 3*t^4.47 + 2*t^4.59 + t^4.98 + 4*t^5.1 + t^5.49 + 2*t^5.61 - t^6. - t^3.51/y - t^4.53/y - t^5.55/y - t^3.51*y - t^4.53*y - t^5.55*y | detail | |
| 8440 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1^2q_1q_2$ | 1.1823 | 1.3207 | 0.8952 | [X:[1.6508], M:[1.0475, 0.8332, 0.6984], q:[0.4961, 0.4563], qb:[], phi:[0.1746]] | 2*t^2.1 + t^2.5 + t^3.14 + t^3.26 + t^3.38 + 3*t^4.19 + t^4.31 + t^4.43 + t^4.55 + 2*t^4.59 + t^4.95 + t^5. + 2*t^5.24 + 2*t^5.36 + 2*t^5.48 + t^5.64 + t^5.76 - 2*t^6. - t^3.52/y - t^4.57/y - (2*t^5.62)/y - t^3.52*y - t^4.57*y - 2*t^5.62*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8190 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ | 1.1501 | 1.263 | 0.9106 | [X:[1.6387], M:[1.084], q:[0.458, 0.458], qb:[], phi:[0.1807]] | t^2.17 + t^3.25 + 3*t^3.29 + t^3.83 + t^4.34 + 3*t^4.37 + t^4.92 + t^5.42 + 3*t^5.46 - 3*t^6. - t^3.54/y - t^4.63/y - t^5.71/y - t^3.54*y - t^4.63*y - t^5.71*y | detail |