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 |
|---|---|---|---|---|---|---|---|---|---|
| 8805 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_2M_3$ + $ M_4\phi_1^3q_2^2$ | 1.1528 | 1.3187 | 0.8741 | [X:[1.5861], M:[0.8971, 1.1722, 0.8278, 0.7584], q:[0.448, 0.3104], qb:[], phi:[0.2069]] | [X:[[4]], M:[[-28], [8], [-8], [12]], q:[[15], [-3]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ q_1q_2$, $ M_3$, $ \phi_1^4$, $ M_1$, $ \phi_1q_1q_2$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_1q_2$, $ M_4^2$, $ \phi_1^3q_1^2$, $ M_4q_1q_2$, $ q_1^2q_2^2$, $ M_3M_4$, $ M_4\phi_1^4$, $ M_3q_1q_2$, $ \phi_1^4q_1q_2$, $ X_1$, $ M_3^2$, $ M_1M_4$, $ M_3\phi_1^4$, $ \phi_1^8$, $ M_1q_1q_2$, $ M_1M_3$, $ M_1\phi_1^4$, $ M_4\phi_1q_1q_2$, $ \phi_1q_1^2q_2^2$, $ M_1^2$, $ M_3\phi_1q_1q_2$, $ \phi_1^5q_1q_2$, $ M_4\phi_1^2q_1q_2$, $ \phi_1^2q_1^2q_2^2$ | $M_3\phi_1^2q_1q_2$, $ \phi_1^6q_1q_2$ | 0 | 2*t^2.28 + 2*t^2.48 + t^2.69 + t^2.9 + t^3.52 + t^4.14 + 4*t^4.55 + 5*t^4.76 + 5*t^4.97 + 4*t^5.17 + 3*t^5.38 + 3*t^5.79 + 2*t^6.41 + t^6.62 + 6*t^6.83 + 10*t^7.03 + 10*t^7.24 + 12*t^7.45 + 4*t^7.65 + 5*t^7.66 + 2*t^7.86 + 2*t^7.87 + 6*t^8.07 + t^8.28 - t^8.48 + 3*t^8.69 - 4*t^8.9 + t^8.48/y^2 - (2*t^8.9)/y^2 - t^3.62/y - t^4.86/y - (2*t^5.9)/y - (2*t^6.1)/y - t^6.31/y - t^6.52/y - (2*t^7.14)/y - t^7.35/y + (3*t^7.76)/y + (3*t^7.97)/y + t^8.17/y - (2*t^8.38)/y - (3*t^8.59)/y - (2*t^8.8)/y - t^3.62*y - t^4.86*y - 2*t^5.9*y - 2*t^6.1*y - t^6.31*y - t^6.52*y - 2*t^7.14*y - t^7.35*y + 3*t^7.76*y + 3*t^7.97*y + t^8.17*y - 2*t^8.38*y - 3*t^8.59*y - 2*t^8.8*y + t^8.48*y^2 - 2*t^8.9*y^2 | 2*g1^12*t^2.28 + (2*t^2.48)/g1^8 + t^2.69/g1^28 + g1^10*t^2.9 + g1^8*t^3.52 + g1^6*t^4.14 + 4*g1^24*t^4.55 + 5*g1^4*t^4.76 + (5*t^4.97)/g1^16 + (2*t^5.17)/g1^36 + 2*g1^22*t^5.17 + t^5.38/g1^56 + 2*g1^2*t^5.38 + 3*g1^20*t^5.79 + 2*g1^18*t^6.41 + t^6.62/g1^2 + 6*g1^36*t^6.83 + 10*g1^16*t^7.03 + (10*t^7.24)/g1^4 + (8*t^7.45)/g1^24 + 4*g1^34*t^7.45 + 4*g1^14*t^7.65 + (5*t^7.66)/g1^44 + (2*t^7.86)/g1^6 + (2*t^7.87)/g1^64 + t^8.07/g1^84 + 5*g1^32*t^8.07 + g1^12*t^8.28 - t^8.48/g1^8 - (2*t^8.69)/g1^28 + 5*g1^30*t^8.69 - 4*g1^10*t^8.9 + t^8.48/(g1^8*y^2) - (2*g1^10*t^8.9)/y^2 - t^3.62/(g1^2*y) - t^4.86/(g1^6*y) - (2*g1^10*t^5.9)/y - (2*t^6.1)/(g1^10*y) - t^6.31/(g1^30*y) - (g1^8*t^6.52)/y - (2*g1^6*t^7.14)/y - t^7.35/(g1^14*y) - t^7.55/(g1^34*y) + (g1^24*t^7.55)/y + (3*g1^4*t^7.76)/y + (3*t^7.97)/(g1^16*y) + (2*t^8.17)/(g1^36*y) - (g1^22*t^8.17)/y - (2*g1^2*t^8.38)/y - (3*t^8.59)/(g1^18*y) - (2*t^8.8)/(g1^38*y) - (t^3.62*y)/g1^2 - (t^4.86*y)/g1^6 - 2*g1^10*t^5.9*y - (2*t^6.1*y)/g1^10 - (t^6.31*y)/g1^30 - g1^8*t^6.52*y - 2*g1^6*t^7.14*y - (t^7.35*y)/g1^14 - (t^7.55*y)/g1^34 + g1^24*t^7.55*y + 3*g1^4*t^7.76*y + (3*t^7.97*y)/g1^16 + (2*t^8.17*y)/g1^36 - g1^22*t^8.17*y - 2*g1^2*t^8.38*y - (3*t^8.59*y)/g1^18 - (2*t^8.8*y)/g1^38 + (t^8.48*y^2)/g1^8 - 2*g1^10*t^8.9*y^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 8896 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_2M_3$ + $ M_4\phi_1^3q_2^2$ + $ M_5\phi_1q_1q_2$ | 1.1499 | 1.3134 | 0.8755 | [X:[1.5895], M:[0.8738, 1.1789, 0.8211, 0.7684, 1.0264], q:[0.4605, 0.3079], qb:[], phi:[0.2053]] | 2*t^2.31 + 2*t^2.46 + t^2.62 + t^3.08 + t^3.54 + t^4.15 + 4*t^4.61 + 5*t^4.77 + 5*t^4.93 + 2*t^5.08 + t^5.24 + 2*t^5.38 + t^5.54 + t^5.7 + 2*t^5.84 - t^3.62/y - t^4.85/y - (2*t^5.92)/y - t^3.62*y - t^4.85*y - 2*t^5.92*y | detail | |
| 8897 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_2M_3$ + $ M_4\phi_1^3q_2^2$ + $ M_5\phi_1^2q_1q_2$ | 1.1676 | 1.3441 | 0.8687 | [X:[1.5881], M:[0.8836, 1.1761, 0.8239, 0.7642, 0.8239], q:[0.4552, 0.309], qb:[], phi:[0.206]] | 2*t^2.29 + 3*t^2.47 + t^2.65 + t^2.91 + t^4.15 + 4*t^4.59 + 7*t^4.76 + 8*t^4.94 + 3*t^5.12 + 2*t^5.2 + t^5.3 + 3*t^5.38 + t^5.82 - 2*t^6. - t^3.62/y - t^4.85/y - (2*t^5.91)/y - t^3.62*y - t^4.85*y - 2*t^5.91*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8636 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_2M_3$ | 1.1342 | 1.285 | 0.8827 | [X:[1.5881], M:[0.883, 1.1763, 0.8237], q:[0.4555, 0.3089], qb:[], phi:[0.2059]] | t^2.29 + 2*t^2.47 + t^2.65 + t^2.91 + t^3.53 + t^3.71 + t^4.15 + 2*t^4.59 + 3*t^4.76 + 4*t^4.94 + 2*t^5.12 + t^5.2 + t^5.3 + 2*t^5.38 + 2*t^5.82 + t^6. - t^3.62/y - t^4.85/y - t^5.91/y - t^3.62*y - t^4.85*y - t^5.91*y | detail |