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 |
|---|---|---|---|---|---|---|---|---|---|
| 8818 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1M_2$ + $ M_1M_3$ + $ M_4\phi_1^2q_1q_2$ | 1.1751 | 1.3225 | 0.8886 | [X:[1.6121], M:[1.0304, 0.9696, 0.9696, 0.7757], q:[0.3879, 0.4486], qb:[], phi:[0.1939]] | [X:[[2]], M:[[5], [-5], [-5], [-4]], q:[[-2], [8]], qb:[], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ \phi_1^4$, $ q_1q_2$, $ M_2$, $ M_3$, $ \phi_1q_2^2$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ M_4^2$, $ M_4\phi_1^4$, $ \phi_1^8$, $ M_4q_1q_2$, $ \phi_1^4q_1q_2$, $ X_1$, $ q_1^2q_2^2$, $ M_2M_4$, $ M_3M_4$, $ M_2\phi_1^4$, $ M_3\phi_1^4$, $ M_2q_1q_2$, $ M_3q_1q_2$, $ M_4\phi_1q_2^2$, $ \phi_1^5q_2^2$, $ \phi_1q_1q_2^3$, $ M_2^2$, $ M_2M_3$, $ M_3^2$ | . | -2 | 2*t^2.33 + t^2.51 + 2*t^2.91 + t^3.27 + t^4.07 + t^4.25 + t^4.44 + 3*t^4.65 + 3*t^4.84 + t^5.02 + 4*t^5.24 + 2*t^5.42 + 2*t^5.6 + t^5.78 + 2*t^5.82 - 2*t^6. + t^6.18 + t^6.4 + t^6.55 + 2*t^6.58 + 2*t^6.76 + t^6.95 + 5*t^6.98 + 6*t^7.16 + 4*t^7.35 + 2*t^7.53 + 5*t^7.56 + t^7.71 + 4*t^7.75 + 3*t^7.93 + 2*t^8.11 + 5*t^8.14 + t^8.29 + 2*t^8.69 + 3*t^8.73 + 3*t^8.87 - 5*t^8.91 + t^8.33/y^2 - (2*t^8.91)/y^2 - t^3.58/y - t^4.75/y - (2*t^5.91)/y - t^6.09/y - (2*t^6.49)/y - t^6.86/y - (2*t^7.07)/y - t^7.65/y + (2*t^7.84)/y - t^8.02/y + t^8.24/y + t^8.42/y + t^8.6/y + t^8.78/y - (3*t^8.82)/y - t^3.58*y - t^4.75*y - 2*t^5.91*y - t^6.09*y - 2*t^6.49*y - t^6.86*y - 2*t^7.07*y - t^7.65*y + 2*t^7.84*y - t^8.02*y + t^8.24*y + t^8.42*y + t^8.6*y + t^8.78*y - 3*t^8.82*y + t^8.33*y^2 - 2*t^8.91*y^2 | (2*t^2.33)/g1^4 + g1^6*t^2.51 + (2*t^2.91)/g1^5 + g1^15*t^3.27 + t^4.07/g1^7 + g1^3*t^4.25 + g1^13*t^4.44 + (3*t^4.65)/g1^8 + 3*g1^2*t^4.84 + g1^12*t^5.02 + (4*t^5.24)/g1^9 + 2*g1*t^5.42 + 2*g1^11*t^5.6 + g1^21*t^5.78 + (2*t^5.82)/g1^10 - 2*t^6. + g1^10*t^6.18 + t^6.4/g1^11 + g1^30*t^6.55 + (2*t^6.58)/g1 + 2*g1^9*t^6.76 + g1^19*t^6.95 + (5*t^6.98)/g1^12 + (6*t^7.16)/g1^2 + 4*g1^8*t^7.35 + 2*g1^18*t^7.53 + (5*t^7.56)/g1^13 + g1^28*t^7.71 + (4*t^7.75)/g1^3 + 3*g1^7*t^7.93 + 2*g1^17*t^8.11 + (5*t^8.14)/g1^14 + g1^27*t^8.29 + 2*g1^16*t^8.69 + (3*t^8.73)/g1^15 + 3*g1^26*t^8.87 - (5*t^8.91)/g1^5 + t^8.33/(g1^4*y^2) - (2*t^8.91)/(g1^5*y^2) - t^3.58/(g1*y) - t^4.75/(g1^3*y) - (2*t^5.91)/(g1^5*y) - (g1^5*t^6.09)/y - (2*t^6.49)/(g1^6*y) - (g1^14*t^6.86)/y - (2*t^7.07)/(g1^7*y) - t^7.65/(g1^8*y) + (2*g1^2*t^7.84)/y - (g1^12*t^8.02)/y + t^8.24/(g1^9*y) + (g1*t^8.42)/y + (g1^11*t^8.6)/y + (g1^21*t^8.78)/y - (3*t^8.82)/(g1^10*y) - (t^3.58*y)/g1 - (t^4.75*y)/g1^3 - (2*t^5.91*y)/g1^5 - g1^5*t^6.09*y - (2*t^6.49*y)/g1^6 - g1^14*t^6.86*y - (2*t^7.07*y)/g1^7 - (t^7.65*y)/g1^8 + 2*g1^2*t^7.84*y - g1^12*t^8.02*y + (t^8.24*y)/g1^9 + g1*t^8.42*y + g1^11*t^8.6*y + g1^21*t^8.78*y - (3*t^8.82*y)/g1^10 + (t^8.33*y^2)/g1^4 - (2*t^8.91*y^2)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8900 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1M_2$ + $ M_1M_3$ + $ M_4\phi_1^2q_1q_2$ + $ M_5\phi_1q_2^2$ | 1.1862 | 1.3413 | 0.8843 | [X:[1.6205], M:[1.0513, 0.9487, 0.9487, 0.759, 0.8462], q:[0.3795, 0.482], qb:[], phi:[0.1897]] | 2*t^2.28 + t^2.54 + t^2.58 + 2*t^2.85 + t^3.98 + t^4.29 + 3*t^4.55 + t^4.6 + 2*t^4.82 + 3*t^4.86 + t^5.08 + 5*t^5.12 + t^5.17 + 2*t^5.38 + 2*t^5.43 + 2*t^5.69 - 2*t^6. - t^3.57/y - t^4.71/y - (2*t^5.85)/y - t^3.57*y - t^4.71*y - 2*t^5.85*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8650 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_1q_2$ + $ M_1M_2$ + $ M_1M_3$ | 1.1573 | 1.2912 | 0.8963 | [X:[1.6106], M:[1.0265, 0.9735, 0.9735], q:[0.3894, 0.4424], qb:[], phi:[0.1947]] | t^2.34 + t^2.5 + 2*t^2.92 + t^3.24 + t^3.66 + t^4.09 + t^4.25 + t^4.41 + t^4.67 + 2*t^4.83 + t^4.99 + 2*t^5.26 + 2*t^5.42 + t^5.58 + t^5.73 + 2*t^5.84 - t^6. - t^3.58/y - t^4.75/y - t^5.92/y - t^3.58*y - t^4.75*y - t^5.92*y | detail |