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 |
|---|---|---|---|---|---|---|---|---|---|
| 8471 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ | 1.1194 | 1.2595 | 0.8888 | [X:[1.5861], M:[0.8976, 1.1721], q:[0.4477, 0.3105], qb:[], phi:[0.207]] | [X:[[4]], M:[[-28], [8]], q:[[15], [-3]], qb:[], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_1q_2$, $ \phi_1^4$, $ M_1$, $ \phi_1q_1q_2$, $ M_2$, $ \phi_1^2q_1q_2$, $ \phi_1^3q_2^2$, $ \phi_1^3q_1q_2$, $ \phi_1^3q_1^2$, $ q_1^2q_2^2$, $ \phi_1^4q_1q_2$, $ X_1$, $ \phi_1^8$, $ M_1q_1q_2$, $ \phi_1q_1^2q_2^2$, $ M_1\phi_1^4$, $ \phi_1^5q_1q_2$, $ M_1^2$, $ M_2q_1q_2$, $ \phi_1^2q_1^2q_2^2$ | $\phi_1^6q_1q_2$, $ \phi_1^3q_1q_2^3$ | 1 | t^2.27 + t^2.48 + t^2.69 + t^2.9 + 2*t^3.52 + t^3.73 + t^4.14 + 2*t^4.55 + 2*t^4.76 + 2*t^4.97 + t^5.17 + t^5.18 + t^5.38 + t^5.39 + 3*t^5.79 + t^6. + 2*t^6.21 + 2*t^6.41 + t^6.42 + t^6.62 + 2*t^6.82 + 5*t^7.03 + 4*t^7.24 + 2*t^7.44 + 3*t^7.45 + 2*t^7.65 + 2*t^7.66 + t^7.86 + t^7.87 + 4*t^8.07 + t^8.08 + 3*t^8.27 + 3*t^8.48 + 5*t^8.69 + t^8.48/y^2 - t^8.9/y^2 - t^3.62/y - t^4.86/y - t^5.9/y - t^6.1/y - t^6.31/y - t^6.52/y - (2*t^7.14)/y - t^7.35/y - t^7.56/y + t^7.97/y + t^8.18/y - t^8.38/y - t^8.59/y + t^8.79/y - t^8.8/y - t^3.62*y - t^4.86*y - t^5.9*y - t^6.1*y - t^6.31*y - t^6.52*y - 2*t^7.14*y - t^7.35*y - t^7.56*y + t^7.97*y + t^8.18*y - t^8.38*y - t^8.59*y + t^8.79*y - t^8.8*y + t^8.48*y^2 - t^8.9*y^2 | g1^12*t^2.27 + t^2.48/g1^8 + t^2.69/g1^28 + g1^10*t^2.9 + 2*g1^8*t^3.52 + t^3.73/g1^12 + g1^6*t^4.14 + 2*g1^24*t^4.55 + 2*g1^4*t^4.76 + (2*t^4.97)/g1^16 + g1^22*t^5.17 + t^5.18/g1^36 + g1^2*t^5.38 + t^5.39/g1^56 + 3*g1^20*t^5.79 + t^6. + (2*t^6.21)/g1^20 + 2*g1^18*t^6.41 + t^6.42/g1^40 + t^6.62/g1^2 + 2*g1^36*t^6.82 + 5*g1^16*t^7.03 + (4*t^7.24)/g1^4 + 2*g1^34*t^7.44 + (3*t^7.45)/g1^24 + 2*g1^14*t^7.65 + (2*t^7.66)/g1^44 + t^7.86/g1^6 + t^7.87/g1^64 + 4*g1^32*t^8.07 + t^8.08/g1^84 + 3*g1^12*t^8.27 + (3*t^8.48)/g1^8 + t^8.69/g1^28 + 4*g1^30*t^8.69 + (2*t^8.9)/g1^48 - 2*g1^10*t^8.9 + t^8.48/(g1^8*y^2) - (g1^10*t^8.9)/y^2 - t^3.62/(g1^2*y) - t^4.86/(g1^6*y) - (g1^10*t^5.9)/y - 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^7.56/(g1^34*y) + t^7.97/(g1^16*y) + t^8.18/(g1^36*y) - (g1^2*t^8.38)/y - t^8.59/(g1^18*y) + (g1^20*t^8.79)/y - t^8.8/(g1^38*y) - (t^3.62*y)/g1^2 - (t^4.86*y)/g1^6 - g1^10*t^5.9*y - (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^7.56*y)/g1^34 + (t^7.97*y)/g1^16 + (t^8.18*y)/g1^36 - g1^2*t^8.38*y - (t^8.59*y)/g1^18 + g1^20*t^8.79*y - (t^8.8*y)/g1^38 + (t^8.48*y^2)/g1^8 - 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 |
|---|---|---|---|---|---|---|---|---|
| 8633 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_1^2$ | 1.1126 | 1.2554 | 0.8862 | [X:[1.5714], M:[1.0, 1.1429], q:[0.3929, 0.3214], qb:[], phi:[0.2143]] | t^2.14 + t^2.57 + t^2.79 + t^3. + 2*t^3.43 + t^3.86 + t^4.07 + 2*t^4.29 + 2*t^4.71 + t^4.93 + 2*t^5.14 + t^5.36 + 4*t^5.57 + 2*t^6. - t^3.64/y - t^4.93/y - t^5.79/y - t^3.64*y - t^4.93*y - t^5.79*y | detail | {a: 3489/3136, c: 3937/3136, X1: 11/7, M1: 1, M2: 8/7, q1: 11/28, q2: 9/28, phi1: 3/14} |
| 8636 | $\phi_1^2X_1$ + $ 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 | |
| 8635 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_3\phi_1q_1q_2$ | 1.1165 | 1.2544 | 0.8901 | [X:[1.5896], M:[0.8725, 1.1793, 1.0259], q:[0.4612, 0.3078], qb:[], phi:[0.2052]] | t^2.31 + t^2.46 + t^2.62 + t^3.08 + 2*t^3.54 + t^3.69 + t^4.15 + 2*t^4.61 + 2*t^4.77 + 2*t^4.92 + t^5.08 + t^5.24 + t^5.38 + t^5.7 + 2*t^5.84 + t^6. - t^3.62/y - t^4.85/y - t^5.92/y - t^3.62*y - t^4.85*y - t^5.92*y | detail | |
| 8638 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_3\phi_1^3q_2^2$ | 1.1382 | 1.2942 | 0.8795 | [X:[1.5841], M:[0.9112, 1.1682, 0.7523], q:[0.4404, 0.3119], qb:[], phi:[0.2079]] | 2*t^2.26 + t^2.5 + t^2.73 + t^2.88 + 2*t^3.5 + t^4.13 + 4*t^4.51 + 3*t^4.75 + 3*t^4.99 + 2*t^5.14 + t^5.23 + t^5.38 + t^5.47 + 5*t^5.76 - t^3.62/y - t^4.87/y - (2*t^5.88)/y - t^3.62*y - t^4.87*y - 2*t^5.88*y | detail | |
| 8634 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_3\phi_1^4$ | 1.1048 | 1.2349 | 0.8947 | [X:[1.5839], M:[0.9128, 1.1678, 1.1678], q:[0.4396, 0.3121], qb:[], phi:[0.2081]] | t^2.26 + t^2.74 + t^2.88 + 3*t^3.5 + t^3.74 + t^4.13 + 2*t^4.51 + t^4.75 + t^4.99 + t^5.13 + t^5.48 + 4*t^5.76 - t^6. - t^3.62/y - t^4.87/y - t^5.88/y - t^3.62*y - t^4.87*y - t^5.88*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 |
|---|---|---|---|---|---|---|---|---|---|
| 8225 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ | 1.1761 | 1.3049 | 0.9013 | [X:[1.6466], M:[0.8835, 0.8835], q:[0.4699, 0.4699], qb:[], phi:[0.1767]] | t^2.12 + 2*t^2.65 + t^2.82 + t^3.35 + t^3.88 + t^4.24 + 3*t^4.41 + 2*t^4.77 + 2*t^4.94 + 3*t^5.3 + 3*t^5.47 + t^5.64 - t^6. - t^3.53/y - t^4.59/y - t^5.65/y - t^3.53*y - t^4.59*y - t^5.65*y | detail |