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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[[0, 2]], M:[[0, 4], [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 |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ q_1q_2$, $ \phi_1q_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_3$, $ M_3^2$, $ M_2q_1q_2$, $ M_3q_1q_2$, $ q_1^2q_2^2$ | . | -2 | 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^6.13 + t^6.53 + 3*t^6.67 + 3*t^7.07 + 5*t^7.2 - t^7.6 + 6*t^7.73 + 4*t^8. + 4*t^8.13 + 6*t^8.27 + t^8.4 - 4*t^8.67 + 4*t^8.8 + t^8.93 + t^8.13/y^2 - t^3.53/y - t^4.6/y - (2*t^6.2)/y - t^6.33/y - t^6.87/y - (2*t^7.27)/y - (2*t^7.4)/y - t^7.93/y + t^8.33/y + t^8.47/y - (3*t^8.87)/y - t^3.53*y - t^4.6*y - 2*t^6.2*y - t^6.33*y - t^6.87*y - 2*t^7.27*y - 2*t^7.4*y - t^7.93*y + t^8.33*y + t^8.47*y - 3*t^8.87*y + t^8.13*y^2 | (g1^2*t^2.67)/g2^11 + (g2*t^2.67)/g1^2 + g2^6*t^2.8 + g2^5*t^3.33 + 2*g2^4*t^3.87 + (g1^2*t^4.4)/g2^3 + g2^3*t^4.4 + (g2^9*t^4.4)/g1^2 + g2^2*t^4.93 + (g1^4*t^5.33)/g2^22 + t^5.33/g2^10 + (g2^2*t^5.33)/g1^4 + (g1^2*t^5.47)/g2^5 + (g2^7*t^5.47)/g1^2 + g2^12*t^5.6 - 2*t^6. + g2^11*t^6.13 + (g1^2*t^6.53)/g2^7 - t^6.53/g2 + (g2^5*t^6.53)/g1^2 + 3*g2^10*t^6.67 + (g1^4*t^7.07)/g2^14 + t^7.07/g2^2 + (g2^10*t^7.07)/g1^4 + g1^2*g2^3*t^7.2 + 3*g2^9*t^7.2 + (g2^15*t^7.2)/g1^2 - t^7.6/g2^3 + g1^2*g2^2*t^7.73 + 4*g2^8*t^7.73 + (g2^14*t^7.73)/g1^2 + (g1^6*t^8.)/g2^33 + (g1^2*t^8.)/g2^21 + t^8./(g1^2*g2^9) + (g2^3*t^8.)/g1^6 + (g1^4*t^8.13)/g2^16 + (2*t^8.13)/g2^4 + (g2^8*t^8.13)/g1^4 + 2*g1^2*g2*t^8.27 + 2*g2^7*t^8.27 + (2*g2^13*t^8.27)/g1^2 + g2^18*t^8.4 - (2*g1^2*t^8.67)/g2^11 - (2*g2*t^8.67)/g1^2 + g1^2*t^8.8 + (g1^4*t^8.8)/g2^6 + (g2^12*t^8.8)/g1^2 + (g2^18*t^8.8)/g1^4 + g2^17*t^8.93 + t^8.13/(g2^4*y^2) - t^3.53/(g2*y) - t^4.6/(g2^3*y) - t^6.2/(g1^2*y) - (g1^2*t^6.2)/(g2^12*y) - (g2^5*t^6.33)/y - (g2^4*t^6.87)/y - (g1^2*t^7.27)/(g2^14*y) - t^7.27/(g1^2*g2^2*y) - (2*g2^3*t^7.4)/y - (g2^2*t^7.93)/y + t^8.33/(g2^10*y) + (g1^2*t^8.47)/(g2^5*y) - (g2*t^8.47)/y + (g2^7*t^8.47)/(g1^2*y) - (g1^4*t^8.87)/(g2^23*y) - t^8.87/(g2^11*y) - (g2*t^8.87)/(g1^4*y) - (t^3.53*y)/g2 - (t^4.6*y)/g2^3 - (t^6.2*y)/g1^2 - (g1^2*t^6.2*y)/g2^12 - g2^5*t^6.33*y - g2^4*t^6.87*y - (g1^2*t^7.27*y)/g2^14 - (t^7.27*y)/(g1^2*g2^2) - 2*g2^3*t^7.4*y - g2^2*t^7.93*y + (t^8.33*y)/g2^10 + (g1^2*t^8.47*y)/g2^5 - g2*t^8.47*y + (g2^7*t^8.47*y)/g1^2 - (g1^4*t^8.87*y)/g2^23 - (t^8.87*y)/g2^11 - (g2*t^8.87*y)/g1^4 + (t^8.13*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 |
|---|---|---|---|---|---|---|---|---|
| 8583 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_2^2$ + $ M_3^2$ | 1.1481 | 1.265 | 0.9076 | [X:[1.626], M:[1.2519, 0.8702, 1.0], q:[0.4714, 0.4065], qb:[], phi:[0.187]] | t^2.61 + t^2.63 + t^3. + t^3.19 + 2*t^3.76 + t^4.12 + t^4.32 + t^4.51 + t^4.88 + t^5.22 + t^5.24 + t^5.27 + t^5.61 + t^5.63 + t^5.83 - t^6. - t^3.56/y - t^4.68/y - t^3.56*y - t^4.68*y | detail | |
| 8589 | $\phi_1^2X_1$ + $ 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]] | 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. - t^3.52/y - t^4.55/y - t^3.52*y - t^4.55*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8216 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1^4$ + $ M_2\phi_1q_1^2$ | 1.1489 | 1.2616 | 0.9107 | [X:[1.632], M:[1.264, 0.8766], q:[0.4697, 0.4263], qb:[], phi:[0.184]] | t^2.63 + t^2.69 + t^3.11 + t^3.24 + 2*t^3.79 + t^4.21 + t^4.34 + t^4.47 + t^4.9 + t^5.26 + t^5.32 + t^5.38 + t^5.74 + t^5.8 + t^5.93 - 2*t^6. - t^3.55/y - t^4.66/y - t^3.55*y - t^4.66*y | detail |