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 |
|---|---|---|---|---|---|---|---|---|---|
| 55133 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5\phi_1q_1^2$ + $ M_6\phi_1^2$ | 0.67 | 0.8364 | 0.8011 | [X:[], M:[1.1799, 1.0216, 0.8201, 0.8201, 0.7194, 1.0791], q:[0.4101, 0.4101], qb:[0.5683, 0.7698], phi:[0.4604]] | [X:[], M:[[2], [-22], [-2], [-2], [8], [12]], q:[[-1], [-1]], qb:[[23], [3]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_3$, $ M_4$, $ q_2\tilde{q}_1$, $ M_2$, $ M_6$, $ M_1$, $ \phi_1q_1^2$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_5$, $ M_4M_5$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_1$, $ M_2M_5$, $ M_5M_6$, $ M_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_5$, $ M_3M_6$, $ M_4M_6$, $ q_2^2\tilde{q}_1^2$ | $M_1M_4$, $ M_5\phi_1q_2^2$, $ M_2q_2\tilde{q}_1$ | 0 | t^2.16 + 2*t^2.46 + t^2.94 + t^3.06 + t^3.24 + t^3.54 + 2*t^3.84 + t^4.01 + 3*t^4.32 + 2*t^4.62 + t^4.79 + 3*t^4.92 + t^5.09 + t^5.22 + 3*t^5.4 + 3*t^5.7 + t^5.87 + t^6.13 + 2*t^6.17 + 3*t^6.3 + 4*t^6.47 + 6*t^6.78 + 2*t^6.95 + 2*t^7.08 + 5*t^7.25 + 3*t^7.38 + 4*t^7.55 + 2*t^7.68 + t^7.73 + 5*t^7.86 - t^7.99 + 2*t^8.03 + 3*t^8.16 + t^8.29 + 5*t^8.33 - 4*t^8.46 + t^8.59 + 7*t^8.63 + 2*t^8.76 + 2*t^8.81 + 3*t^8.94 - t^4.38/y - t^6.54/y - t^6.84/y + t^7.32/y - t^7.45/y + (2*t^7.62)/y + (2*t^7.92)/y + t^8.09/y + (2*t^8.22)/y + (3*t^8.4)/y + (2*t^8.53)/y + (2*t^8.7)/y - t^4.38*y - t^6.54*y - t^6.84*y + t^7.32*y - t^7.45*y + 2*t^7.62*y + 2*t^7.92*y + t^8.09*y + 2*t^8.22*y + 3*t^8.4*y + 2*t^8.53*y + 2*t^8.7*y | g1^8*t^2.16 + (2*t^2.46)/g1^2 + g1^22*t^2.94 + t^3.06/g1^22 + g1^12*t^3.24 + g1^2*t^3.54 + (2*t^3.84)/g1^8 + g1^26*t^4.01 + 3*g1^16*t^4.32 + 2*g1^6*t^4.62 + g1^40*t^4.79 + (3*t^4.92)/g1^4 + g1^30*t^5.09 + t^5.22/g1^14 + 3*g1^20*t^5.4 + 3*g1^10*t^5.7 + g1^44*t^5.87 + t^6.13/g1^44 + 2*g1^34*t^6.17 + (3*t^6.3)/g1^10 + 4*g1^24*t^6.47 + 6*g1^14*t^6.78 + 2*g1^48*t^6.95 + 2*g1^4*t^7.08 + 5*g1^38*t^7.25 + (3*t^7.38)/g1^6 + 4*g1^28*t^7.55 + (2*t^7.68)/g1^16 + g1^62*t^7.73 + 5*g1^18*t^7.86 - t^7.99/g1^26 + 2*g1^52*t^8.03 + 3*g1^8*t^8.16 + t^8.29/g1^36 + 5*g1^42*t^8.33 - (4*t^8.46)/g1^2 + t^8.59/g1^46 + 7*g1^32*t^8.63 + (2*t^8.76)/g1^12 + 2*g1^66*t^8.81 + 3*g1^22*t^8.94 - t^4.38/(g1^6*y) - (g1^2*t^6.54)/y - t^6.84/(g1^8*y) + (g1^16*t^7.32)/y - t^7.45/(g1^28*y) + (2*g1^6*t^7.62)/y + (2*t^7.92)/(g1^4*y) + (g1^30*t^8.09)/y + (2*t^8.22)/(g1^14*y) + (3*g1^20*t^8.4)/y + (2*t^8.53)/(g1^24*y) + (2*g1^10*t^8.7)/y - (t^4.38*y)/g1^6 - g1^2*t^6.54*y - (t^6.84*y)/g1^8 + g1^16*t^7.32*y - (t^7.45*y)/g1^28 + 2*g1^6*t^7.62*y + (2*t^7.92*y)/g1^4 + g1^30*t^8.09*y + (2*t^8.22*y)/g1^14 + 3*g1^20*t^8.4*y + (2*t^8.53*y)/g1^24 + 2*g1^10*t^8.7*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 56797 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5\phi_1q_1^2$ + $ M_6\phi_1^2$ + $ M_1M_7$ | 0.6852 | 0.8626 | 0.7944 | [X:[], M:[1.1802, 1.0183, 0.8198, 0.8198, 0.7206, 1.0809, 0.8198], q:[0.4099, 0.4099], qb:[0.5718, 0.7702], phi:[0.4595]] | t^2.16 + 3*t^2.46 + t^2.95 + t^3.05 + t^3.24 + 2*t^3.84 + t^4.03 + 3*t^4.32 + 3*t^4.62 + t^4.81 + 6*t^4.92 + t^5.11 + t^5.22 + 4*t^5.4 + t^5.51 + 3*t^5.7 + t^5.89 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
| 56796 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5\phi_1q_1^2$ + $ M_6\phi_1^2$ + $ M_5M_7$ | 0.6499 | 0.7985 | 0.814 | [X:[], M:[1.1804, 1.0159, 0.8196, 0.8196, 0.7215, 1.0822, 1.2785], q:[0.4098, 0.4098], qb:[0.5743, 0.7706], phi:[0.4589]] | 2*t^2.46 + t^2.95 + t^3.05 + t^3.25 + t^3.54 + 3*t^3.84 + t^4.03 + 2*t^4.33 + t^4.82 + 3*t^4.92 + 2*t^5.41 + 2*t^5.71 + t^5.9 - 2*t^6. - t^4.38/y - t^4.38*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 |
|---|---|---|---|---|---|---|---|---|---|
| 47041 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1q_1q_2$ + $ M_5\phi_1q_1^2$ | 0.6779 | 0.8482 | 0.7993 | [X:[], M:[1.1823, 0.9951, 0.8177, 0.8177, 0.7291], q:[0.4089, 0.4089], qb:[0.596, 0.7734], phi:[0.4532]] | t^2.19 + 2*t^2.45 + t^2.72 + t^2.99 + t^3.01 + t^3.55 + 2*t^3.81 + t^4.11 + 3*t^4.37 + 2*t^4.64 + 4*t^4.91 + t^4.94 + 3*t^5.17 + t^5.2 + t^5.44 + 2*t^5.47 + t^5.7 + 2*t^5.73 + t^5.97 - t^4.36/y - t^4.36*y | detail | {a: 93927043/138556848, c: 58758829/69278424, M1: 6026/5097, M2: 5072/5097, M3: 4168/5097, M4: 4168/5097, M5: 3716/5097, q1: 2084/5097, q2: 2084/5097, qb1: 3038/5097, qb2: 1314/1699, phi1: 770/1699} |