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 |
|---|---|---|---|---|---|---|---|---|---|
| 8789 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2\phi_1^4$ + $ M_2M_4$ | 1.1029 | 1.2304 | 0.8964 | [X:[1.5844], M:[1.2469, 1.1687, 1.0391, 0.8313], q:[0.3117, 0.4413], qb:[], phi:[0.2078]] | [X:[[4]], M:[[-12], [8], [-10], [-8]], q:[[-3], [15]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ \phi_1^4$, $ M_3$, $ \phi_1q_2^2$, $ \phi_1^2q_1q_2$, $ M_1$, $ \phi_1^3q_1^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_2^2$, $ X_1$, $ M_4^2$, $ M_4\phi_1^4$, $ \phi_1^8$, $ M_3M_4$, $ M_3\phi_1^4$, $ M_4\phi_1q_2^2$, $ \phi_1^5q_2^2$ | $M_4\phi_1^2q_1q_2$, $ \phi_1^6q_1q_2$ | 0 | 2*t^2.49 + t^3.12 + t^3.27 + t^3.51 + 2*t^3.74 + t^4.13 + t^4.52 + t^4.75 + 3*t^4.99 + t^5.61 + 2*t^5.77 + 4*t^6.23 + t^6.54 + 2*t^6.62 + t^6.78 + t^6.86 + 3*t^7.01 + 3*t^7.25 + t^7.4 + 6*t^7.48 + t^7.79 + 2*t^7.87 + t^8.02 + t^8.11 + 4*t^8.26 + t^8.49 + t^8.65 + 5*t^8.73 - t^8.88 + t^8.49/y^2 - t^3.62/y - t^4.87/y - (2*t^6.12)/y - t^6.74/y - t^6.89/y - (3*t^7.36)/y - t^8.14/y - (2*t^8.61)/y + (2*t^8.77)/y - t^3.62*y - t^4.87*y - 2*t^6.12*y - t^6.74*y - t^6.89*y - 3*t^7.36*y - t^8.14*y - 2*t^8.61*y + 2*t^8.77*y + t^8.49*y^2 | (2*t^2.49)/g1^8 + t^3.12/g1^10 + g1^28*t^3.27 + g1^8*t^3.51 + (2*t^3.74)/g1^12 + g1^6*t^4.13 + g1^24*t^4.52 + g1^4*t^4.75 + (3*t^4.99)/g1^16 + t^5.61/g1^18 + 2*g1^20*t^5.77 + (4*t^6.23)/g1^20 + g1^56*t^6.54 + (2*t^6.62)/g1^2 + g1^36*t^6.78 + t^6.86/g1^22 + 3*g1^16*t^7.01 + (3*t^7.25)/g1^4 + g1^34*t^7.4 + (6*t^7.48)/g1^24 + g1^52*t^7.79 + (2*t^7.87)/g1^6 + g1^32*t^8.02 + t^8.11/g1^26 + 4*g1^12*t^8.26 + t^8.49/g1^8 + g1^30*t^8.65 + (5*t^8.73)/g1^28 - g1^10*t^8.88 + t^8.49/(g1^8*y^2) - t^3.62/(g1^2*y) - t^4.87/(g1^6*y) - (2*t^6.12)/(g1^10*y) - t^6.74/(g1^12*y) - (g1^26*t^6.89)/y - (3*t^7.36)/(g1^14*y) - (g1^22*t^8.14)/y - (2*t^8.61)/(g1^18*y) + (2*g1^20*t^8.77)/y - (t^3.62*y)/g1^2 - (t^4.87*y)/g1^6 - (2*t^6.12*y)/g1^10 - (t^6.74*y)/g1^12 - g1^26*t^6.89*y - (3*t^7.36*y)/g1^14 - g1^22*t^8.14*y - (2*t^8.61*y)/g1^18 + 2*g1^20*t^8.77*y + (t^8.49*y^2)/g1^8 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8899 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2\phi_1^4$ + $ M_2M_4$ + $ M_5\phi_1^2q_1q_2$ | 1.1176 | 1.2555 | 0.8902 | [X:[1.5869], M:[1.2393, 1.1738, 1.0327, 0.8262, 0.8262], q:[0.3098, 0.4509], qb:[], phi:[0.2065]] | 3*t^2.48 + t^3.1 + t^3.32 + 2*t^3.72 + t^4.14 + t^4.56 + t^4.76 + 6*t^4.96 + 2*t^5.58 + 3*t^5.8 - 2*t^6. - t^3.62/y - t^4.86/y - t^3.62*y - t^4.86*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8610 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1q_1q_2$ + $ M_2\phi_1q_1^2$ + $ M_3\phi_1q_1q_2$ + $ M_2\phi_1^4$ | 1.0886 | 1.2063 | 0.9025 | [X:[1.5817], M:[1.2548, 1.1634, 1.0457], q:[0.3137, 0.4315], qb:[], phi:[0.2091]] | t^2.51 + t^3.14 + t^3.22 + 2*t^3.49 + 2*t^3.76 + t^4.12 + t^4.47 + t^4.75 + t^5.02 + t^5.73 - t^3.63/y - t^4.88/y - t^3.63*y - t^4.88*y | detail |