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 |
|---|---|---|---|---|---|---|---|---|---|
| 8440 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ 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]] | [X:[[0, 2]], M:[[0, -6], [2, -11], [0, -4]], q:[[-1, 6], [1, 0]], qb:[], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ \phi_1^4$, $ M_2$, $ M_1$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ M_3^2$, $ M_3\phi_1^4$, $ \phi_1^8$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ M_2M_3$, $ M_2\phi_1^4$, $ X_1$, $ M_2^2$, $ M_1M_3$, $ M_1\phi_1^4$, $ M_3\phi_1q_2^2$, $ \phi_1^5q_2^2$, $ M_3\phi_1q_1q_2$, $ \phi_1^5q_1q_2$, $ M_1M_2$, $ M_2\phi_1q_2^2$ | . | -2 | 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^6.12 + 5*t^6.29 + 2*t^6.4 + 3*t^6.52 + 2*t^6.64 + 3*t^6.69 + t^6.76 + t^6.81 + 2*t^7.05 + 2*t^7.09 - t^7.17 + 3*t^7.33 + 4*t^7.45 + t^7.5 + 4*t^7.57 + 2*t^7.69 + 2*t^7.74 + t^7.81 + 2*t^7.86 + t^7.93 - 2*t^8.1 + t^8.14 - 2*t^8.21 + t^8.26 + 7*t^8.38 - t^8.45 + t^8.5 + 2*t^8.62 + 4*t^8.74 + 5*t^8.78 + 2*t^8.86 + 2*t^8.9 + t^8.98 + t^8.1/y^2 - (2*t^8.62)/y^2 - t^3.52/y - t^4.57/y - (2*t^5.62)/y - t^6.02/y - (3*t^6.67)/y - t^6.79/y - t^6.9/y - t^7.07/y + t^7.19/y + t^7.43/y + (2*t^7.59)/y - (4*t^7.71)/y - t^7.83/y - t^7.95/y - (2*t^8.12)/y + (2*t^8.24)/y + (2*t^8.36)/y + (3*t^8.48)/y - t^8.52/y + t^8.64/y - (4*t^8.76)/y - t^8.88/y - t^3.52*y - t^4.57*y - 2*t^5.62*y - t^6.02*y - 3*t^6.67*y - t^6.79*y - t^6.9*y - t^7.07*y + t^7.19*y + t^7.43*y + 2*t^7.59*y - 4*t^7.71*y - t^7.83*y - t^7.95*y - 2*t^8.12*y + 2*t^8.24*y + 2*t^8.36*y + 3*t^8.48*y - t^8.52*y + t^8.64*y - 4*t^8.76*y - t^8.88*y + t^8.1*y^2 - 2*t^8.62*y^2 | (2*t^2.1)/g2^4 + (g1^2*t^2.5)/g2^11 + t^3.14/g2^6 + (g1^2*t^3.26)/g2 + g2^5*t^3.38 + (3*t^4.19)/g2^8 + (g1^2*t^4.31)/g2^3 + g2^3*t^4.43 + (g2^9*t^4.55)/g1^2 + (2*g1^2*t^4.59)/g2^15 + g2^2*t^4.95 + (g1^4*t^5.)/g2^22 + (2*t^5.24)/g2^10 + (2*g1^2*t^5.36)/g2^5 + 2*g2*t^5.48 + (g1^2*t^5.64)/g2^17 + (g1^4*t^5.76)/g2^12 - 2*t^6. - (g2^6*t^6.12)/g1^2 + (5*t^6.29)/g2^12 + (2*g1^2*t^6.4)/g2^7 + (g1^4*t^6.52)/g2^2 + (2*t^6.52)/g2 + g1^2*g2^4*t^6.64 + (g2^5*t^6.64)/g1^2 + (3*g1^2*t^6.69)/g2^19 + g2^10*t^6.76 + (g1^4*t^6.81)/g2^14 + (2*t^7.05)/g2^2 + (2*g1^4*t^7.09)/g2^26 - (g2^4*t^7.17)/g1^2 + (3*t^7.33)/g2^14 + (4*g1^2*t^7.45)/g2^9 + (g1^6*t^7.5)/g2^33 + (g1^4*t^7.57)/g2^4 + (3*t^7.57)/g2^3 + 2*g1^2*g2^2*t^7.69 + (2*g1^2*t^7.74)/g2^21 + g2^8*t^7.81 + (2*g1^4*t^7.86)/g2^16 + (g2^14*t^7.93)/g1^2 - (2*t^8.1)/g2^4 + (g1^4*t^8.14)/g2^28 - (2*g2^2*t^8.21)/g1^2 + (g1^6*t^8.26)/g2^23 + (7*t^8.38)/g2^16 - (g2^13*t^8.45)/g1^2 + (g1^2*t^8.5)/g2^11 + (3*g1^4*t^8.62)/g2^6 - t^8.62/g2^5 + 3*g1^2*t^8.74 + (g2*t^8.74)/g1^2 + (5*g1^2*t^8.78)/g2^23 + 2*g2^6*t^8.86 + (2*g1^4*t^8.9)/g2^18 + (g2^12*t^8.98)/g1^2 + t^8.1/(g2^4*y^2) - (2*t^8.62)/(g2^5*y^2) - t^3.52/(g2*y) - t^4.57/(g2^3*y) - (2*t^5.62)/(g2^5*y) - (g1^2*t^6.02)/(g2^12*y) - (3*t^6.67)/(g2^7*y) - (g1^2*t^6.79)/(g2^2*y) - (g2^4*t^6.9)/y - (g1^2*t^7.07)/(g2^14*y) + t^7.19/(g2^8*y) + (g2^3*t^7.43)/y + (2*g1^2*t^7.59)/(g2^15*y) - (4*t^7.71)/(g2^9*y) - (g1^2*t^7.83)/(g2^4*y) - (g2^2*t^7.95)/y - (2*g1^2*t^8.12)/(g2^16*y) + (2*t^8.24)/(g2^10*y) + (2*g1^2*t^8.36)/(g2^5*y) + (3*g2*t^8.48)/y - (g1^4*t^8.52)/(g2^23*y) + (g1^2*t^8.64)/(g2^17*y) + (g1^4*t^8.76)/(g2^12*y) - (5*t^8.76)/(g2^11*y) - (g1^2*t^8.88)/(g2^6*y) - (t^3.52*y)/g2 - (t^4.57*y)/g2^3 - (2*t^5.62*y)/g2^5 - (g1^2*t^6.02*y)/g2^12 - (3*t^6.67*y)/g2^7 - (g1^2*t^6.79*y)/g2^2 - g2^4*t^6.9*y - (g1^2*t^7.07*y)/g2^14 + (t^7.19*y)/g2^8 + g2^3*t^7.43*y + (2*g1^2*t^7.59*y)/g2^15 - (4*t^7.71*y)/g2^9 - (g1^2*t^7.83*y)/g2^4 - g2^2*t^7.95*y - (2*g1^2*t^8.12*y)/g2^16 + (2*t^8.24*y)/g2^10 + (2*g1^2*t^8.36*y)/g2^5 + 3*g2*t^8.48*y - (g1^4*t^8.52*y)/g2^23 + (g1^2*t^8.64*y)/g2^17 + (g1^4*t^8.76*y)/g2^12 - (5*t^8.76*y)/g2^11 - (g1^2*t^8.88*y)/g2^6 + (t^8.1*y^2)/g2^4 - (2*t^8.62*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 |
|---|---|---|---|---|---|---|---|---|
| 8600 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1^2q_1q_2$ + $ M_4\phi_1q_2^2$ | 1.1931 | 1.3382 | 0.8916 | [X:[1.6606], M:[1.0182, 0.8485, 0.6788, 0.8485], q:[0.4909, 0.4909], qb:[], phi:[0.1697]] | 2*t^2.04 + 2*t^2.55 + t^3.05 + t^3.45 + 3*t^4.07 + 3*t^4.47 + 4*t^4.58 + t^4.98 + 5*t^5.09 + 2*t^5.49 + 2*t^5.6 - 2*t^6. - t^3.51/y - t^4.53/y - (2*t^5.55)/y - t^3.51*y - t^4.53*y - 2*t^5.55*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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^3.53/y - t^4.58/y - t^5.63/y - t^3.53*y - t^4.58*y - t^5.63*y | detail |