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 |
|---|---|---|---|---|---|---|---|---|---|
| 8635 | Sp2adj1nf1 | $\phi_1^2X_1$ + $ 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]] | [X:[[4]], M:[[-28], [8], [-10]], 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$, $ M_3$, $ 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$, $ M_1\phi_1^4$, $ M_1^2$, $ M_3q_1q_2$, $ M_1M_3$, $ M_2q_1q_2$, $ \phi_1^2q_1^2q_2^2$ | $\phi_1^6q_1q_2$, $ \phi_1^3q_1q_2^3$ | 1 | t^2.31 + 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. + 3*t^6.16 + t^6.31 + 2*t^6.62 + t^6.77 + 2*t^6.92 + 4*t^7.08 + 5*t^7.23 + 3*t^7.39 + 2*t^7.54 + 2*t^7.69 + t^7.7 + 2*t^7.85 + t^8. + 3*t^8.15 + 3*t^8.31 + 4*t^8.46 + t^8.62 + 4*t^8.77 - t^8.92 + t^8.93 + t^8.46/y^2 - t^8.92/y^2 - t^3.62/y - t^4.85/y - t^5.92/y - t^6.08/y - t^6.23/y - t^6.69/y - (2*t^7.15)/y - t^7.31/y - t^7.46/y + t^7.77/y + t^8.08/y - t^8.23/y - t^8.38/y - t^8.54/y + (2*t^8.84)/y - t^8.85/y - t^3.62*y - t^4.85*y - t^5.92*y - t^6.08*y - t^6.23*y - t^6.69*y - 2*t^7.15*y - t^7.31*y - t^7.46*y + t^7.77*y + t^8.08*y - t^8.23*y - t^8.38*y - t^8.54*y + 2*t^8.84*y - t^8.85*y + t^8.46*y^2 - t^8.92*y^2 | g1^12*t^2.31 + t^2.46/g1^8 + t^2.62/g1^28 + t^3.08/g1^10 + 2*g1^8*t^3.54 + t^3.69/g1^12 + g1^6*t^4.15 + 2*g1^24*t^4.61 + 2*g1^4*t^4.77 + (2*t^4.92)/g1^16 + t^5.08/g1^36 + t^5.24/g1^56 + g1^2*t^5.38 + t^5.7/g1^38 + 2*g1^20*t^5.84 + t^6. + (3*t^6.16)/g1^20 + t^6.31/g1^40 + (2*t^6.62)/g1^2 + t^6.77/g1^22 + 2*g1^36*t^6.92 + 4*g1^16*t^7.08 + (5*t^7.23)/g1^4 + (3*t^7.39)/g1^24 + (2*t^7.54)/g1^44 + 2*g1^14*t^7.69 + t^7.7/g1^64 + t^7.85/g1^84 + t^7.85/g1^6 + t^8./g1^26 + 3*g1^32*t^8.15 + t^8.31/g1^66 + 2*g1^12*t^8.31 + (4*t^8.46)/g1^8 + t^8.62/g1^28 + (3*t^8.77)/g1^48 + g1^30*t^8.77 - g1^10*t^8.92 + t^8.93/g1^68 + t^8.46/(g1^8*y^2) - (g1^10*t^8.92)/y^2 - t^3.62/(g1^2*y) - t^4.85/(g1^6*y) - (g1^10*t^5.92)/y - t^6.08/(g1^10*y) - t^6.23/(g1^30*y) - t^6.69/(g1^12*y) - (2*g1^6*t^7.15)/y - t^7.31/(g1^14*y) - t^7.46/(g1^34*y) + (g1^4*t^7.77)/y + t^8.08/(g1^36*y) - (g1^22*t^8.23)/y - (g1^2*t^8.38)/y - t^8.54/(g1^18*y) + (2*g1^20*t^8.84)/y - t^8.85/(g1^58*y) - (t^3.62*y)/g1^2 - (t^4.85*y)/g1^6 - g1^10*t^5.92*y - (t^6.08*y)/g1^10 - (t^6.23*y)/g1^30 - (t^6.69*y)/g1^12 - 2*g1^6*t^7.15*y - (t^7.31*y)/g1^14 - (t^7.46*y)/g1^34 + g1^4*t^7.77*y + (t^8.08*y)/g1^36 - g1^22*t^8.23*y - g1^2*t^8.38*y - (t^8.54*y)/g1^18 + 2*g1^20*t^8.84*y - (t^8.85*y)/g1^58 + (t^8.46*y^2)/g1^8 - g1^10*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 8811 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ + $ M_2\phi_1q_2^2$ + $ M_2\phi_1^4$ + $ M_3\phi_1q_1q_2$ + $ M_1M_3$ | 1.1129 | 1.251 | 0.8896 | [X:[1.5789], M:[0.9474, 1.1579, 1.0526], q:[0.4211, 0.3158], qb:[], phi:[0.2105]] | t^2.21 + t^2.53 + t^2.84 + t^3.16 + 2*t^3.47 + t^3.79 + t^4.11 + 2*t^4.42 + 2*t^4.74 + 2*t^5.05 + 2*t^5.37 + 3*t^5.68 + 2*t^6. - t^3.63/y - t^4.89/y - t^5.84/y - t^3.63*y - t^4.89*y - t^5.84*y | detail | {a: 61065/54872, c: 34323/27436, X1: 30/19, M1: 18/19, M2: 22/19, M3: 20/19, q1: 8/19, q2: 6/19, phi1: 4/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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. - t^3.62/y - t^4.86/y - t^5.9/y - t^3.62*y - t^4.86*y - t^5.9*y | detail |