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 |
|---|---|---|---|---|---|---|---|---|---|
| 8589 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_4\phi_1q_1q_2$ | 1.1668 | 1.2833 | 0.9092 | [X:[1.6546], M:[1.3093, 0.8634, 0.8634, 0.8634], q:[0.482, 0.482], qb:[], phi:[0.1727]] | [X:[[0, 2]], M:[[0, 4], [2, -11], [-2, 1], [0, -5]], q:[[-1, 6], [1, 0]], qb:[], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_4$, $ M_3$, $ q_1q_2$, $ M_1$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ X_1$, $ M_2^2$, $ M_2M_4$, $ M_2M_3$, $ M_4^2$, $ M_3M_4$, $ M_3^2$, $ M_2q_1q_2$, $ M_4q_1q_2$, $ M_3q_1q_2$, $ q_1^2q_2^2$ | . | -4 | 3*t^2.59 + t^2.89 + 2*t^3.93 + 3*t^4.45 + t^4.96 + 6*t^5.18 + 3*t^5.48 + t^5.78 - 4*t^6. + 3*t^6.52 + 2*t^6.82 + 6*t^7.04 + 3*t^7.34 + 10*t^7.77 + 3*t^7.86 + 7*t^8.07 + 6*t^8.37 - 11*t^8.59 + t^8.68 + 2*t^8.89 + t^8.07/y^2 - t^3.52/y - t^4.55/y - (3*t^6.11)/y - t^6.41/y - (3*t^7.14)/y - (2*t^7.45)/y + (3*t^8.18)/y + (2*t^8.48)/y - (6*t^8.7)/y - t^3.52*y - t^4.55*y - 3*t^6.11*y - t^6.41*y - 3*t^7.14*y - 2*t^7.45*y + 3*t^8.18*y + 2*t^8.48*y - 6*t^8.7*y + t^8.07*y^2 | (g1^2*t^2.59)/g2^11 + t^2.59/g2^5 + (g2*t^2.59)/g1^2 + g2^6*t^2.89 + 2*g2^4*t^3.93 + (g1^2*t^4.45)/g2^3 + g2^3*t^4.45 + (g2^9*t^4.45)/g1^2 + g2^2*t^4.96 + (g1^4*t^5.18)/g2^22 + (g1^2*t^5.18)/g2^16 + (2*t^5.18)/g2^10 + t^5.18/(g1^2*g2^4) + (g2^2*t^5.18)/g1^4 + (g1^2*t^5.48)/g2^5 + g2*t^5.48 + (g2^7*t^5.48)/g1^2 + g2^12*t^5.78 - 2*t^6. - (g1^2*t^6.)/g2^6 - (g2^6*t^6.)/g1^2 + (g1^2*t^6.52)/g2^7 + t^6.52/g2 + (g2^5*t^6.52)/g1^2 + 2*g2^10*t^6.82 + (g1^4*t^7.04)/g2^14 + (g1^2*t^7.04)/g2^8 + (2*t^7.04)/g2^2 + (g2^4*t^7.04)/g1^2 + (g2^10*t^7.04)/g1^4 + g1^2*g2^3*t^7.34 + g2^9*t^7.34 + (g2^15*t^7.34)/g1^2 + (g1^6*t^7.77)/g2^33 + (g1^4*t^7.77)/g2^27 + (2*g1^2*t^7.77)/g2^21 + (2*t^7.77)/g2^15 + (2*t^7.77)/(g1^2*g2^9) + t^7.77/(g1^4*g2^3) + (g2^3*t^7.77)/g1^6 + 3*g2^8*t^7.86 + (g1^4*t^8.07)/g2^16 + (g1^2*t^8.07)/g2^10 + (3*t^8.07)/g2^4 + (g2^2*t^8.07)/g1^2 + (g2^8*t^8.07)/g1^4 + 2*g1^2*g2*t^8.37 + 2*g2^7*t^8.37 + (2*g2^13*t^8.37)/g1^2 - (g1^4*t^8.59)/g2^17 - (3*g1^2*t^8.59)/g2^11 - (3*t^8.59)/g2^5 - (3*g2*t^8.59)/g1^2 - (g2^7*t^8.59)/g1^4 + g2^18*t^8.68 + (g1^4*t^8.89)/g2^6 + (g2^18*t^8.89)/g1^4 + t^8.07/(g2^4*y^2) - t^3.52/(g2*y) - t^4.55/(g2^3*y) - t^6.11/(g1^2*y) - (g1^2*t^6.11)/(g2^12*y) - t^6.11/(g2^6*y) - (g2^5*t^6.41)/y - (g1^2*t^7.14)/(g2^14*y) - t^7.14/(g2^8*y) - t^7.14/(g1^2*g2^2*y) - (2*g2^3*t^7.45)/y + (g1^2*t^8.18)/(g2^16*y) + t^8.18/(g2^10*y) + t^8.18/(g1^2*g2^4*y) + (g1^2*t^8.48)/(g2^5*y) + (g2^7*t^8.48)/(g1^2*y) - (g1^4*t^8.7)/(g2^23*y) - (g1^2*t^8.7)/(g2^17*y) - (2*t^8.7)/(g2^11*y) - t^8.7/(g1^2*g2^5*y) - (g2*t^8.7)/(g1^4*y) - (t^3.52*y)/g2 - (t^4.55*y)/g2^3 - (t^6.11*y)/g1^2 - (g1^2*t^6.11*y)/g2^12 - (t^6.11*y)/g2^6 - g2^5*t^6.41*y - (g1^2*t^7.14*y)/g2^14 - (t^7.14*y)/g2^8 - (t^7.14*y)/(g1^2*g2^2) - 2*g2^3*t^7.45*y + (g1^2*t^8.18*y)/g2^16 + (t^8.18*y)/g2^10 + (t^8.18*y)/(g1^2*g2^4) + (g1^2*t^8.48*y)/g2^5 + (g2^7*t^8.48*y)/g1^2 - (g1^4*t^8.7*y)/g2^23 - (g1^2*t^8.7*y)/g2^17 - (2*t^8.7*y)/g2^11 - (t^8.7*y)/(g1^2*g2^5) - (g2*t^8.7*y)/g1^4 + (t^8.07*y^2)/g2^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8764 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_4\phi_1q_1q_2$ + $ M_2M_4$ | 1.1452 | 1.2679 | 0.9033 | [X:[1.615], M:[1.2301, 1.0376, 0.8872, 0.9624], q:[0.385, 0.4602], qb:[], phi:[0.1925]] | t^2.54 + t^2.66 + t^2.89 + t^3.11 + 2*t^3.69 + t^4.04 + t^4.27 + t^4.49 + t^4.85 + t^5.07 + t^5.2 + t^5.32 + t^5.42 + t^5.55 + t^5.65 + t^5.77 - t^6. - t^3.58/y - t^4.73/y - t^3.58*y - t^4.73*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8429 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ | 1.1558 | 1.2669 | 0.9123 | [X:[1.6444], M:[1.2887, 0.8891, 0.8891], q:[0.4665, 0.4665], qb:[], phi:[0.1778]] | 2*t^2.67 + t^2.8 + t^3.33 + 2*t^3.87 + 3*t^4.4 + t^4.93 + 3*t^5.33 + 2*t^5.47 + t^5.6 - 2*t^6. - t^3.53/y - t^4.6/y - t^3.53*y - t^4.6*y | detail |