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 |
|---|---|---|---|---|---|---|---|---|---|
| 2817 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3M_5$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_6q_2\tilde{q}_1$ | 0.6202 | 0.7596 | 0.8165 | [X:[1.6142], M:[0.3858, 1.2284, 1.1574, 0.7007, 0.8426, 0.7695], q:[0.8415, 0.7727], qb:[0.4578, 0.3848], phi:[0.3858]] | [X:[[0, 1]], M:[[0, -1], [0, 2], [0, -3], [0, -7], [0, 3], [2, 0]], q:[[1, 4], [-1, -3]], qb:[[-1, 3], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_6$, $ M_5$, $ M_3$, $ \phi_1\tilde{q}_2^2$, $ q_1\tilde{q}_2$, $ M_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ M_4M_5$, $ \phi_1q_2\tilde{q}_2$, $ X_1$, $ M_5M_6$, $ \phi_1q_1\tilde{q}_2$, $ M_5^2$, $ \phi_1q_1\tilde{q}_1$, $ M_3M_4$, $ M_4\phi_1\tilde{q}_2^2$, $ M_6\phi_1\tilde{q}_2^2$, $ M_3M_6$, $ M_4q_1\tilde{q}_2$, $ M_2M_4$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_6$, $ M_6\phi_1\tilde{q}_1\tilde{q}_2$, $ M_5\phi_1\tilde{q}_2^2$, $ M_6q_1\tilde{q}_2$ | . | -2 | t^2.1 + t^2.31 + t^2.53 + 2*t^3.47 + t^3.68 + 2*t^3.69 + t^3.9 + t^4.2 + t^4.41 + t^4.62 + t^4.63 + 2*t^4.84 + t^5.06 + 2*t^5.57 + t^5.77 + t^5.78 + t^5.79 + 3*t^5.99 - 2*t^6. + 3*t^6.21 - t^6.22 + t^6.31 + t^6.43 + t^6.51 + t^6.72 + t^6.73 + 2*t^6.93 + 2*t^6.94 + 2*t^7.14 + 2*t^7.15 - t^7.16 + 3*t^7.36 + t^7.37 - t^7.38 + t^7.58 + t^7.59 + t^7.67 + t^7.68 + t^7.81 + 2*t^7.88 + t^7.89 + t^8.08 + t^8.09 - t^8.1 + 3*t^8.3 - t^8.31 - t^8.32 + t^8.41 + 3*t^8.52 - 4*t^8.53 + t^8.61 + t^8.73 + t^8.74 - t^8.75 + t^8.82 + t^8.83 + t^8.96 - t^4.16/y - t^6.26/y - t^6.47/y + t^7.41/y + t^7.63/y + t^7.84/y + t^7.85/y + t^8.06/y - t^8.36/y + t^8.57/y + (2*t^8.78)/y + (2*t^8.79)/y + (4*t^8.99)/y - t^4.16*y - t^6.26*y - t^6.47*y + t^7.41*y + t^7.63*y + t^7.84*y + t^7.85*y + t^8.06*y - t^8.36*y + t^8.57*y + 2*t^8.78*y + 2*t^8.79*y + 4*t^8.99*y | t^2.1/g2^7 + g1^2*t^2.31 + g2^3*t^2.53 + t^3.47/g2^3 + (g1^2*t^3.47)/g2 + g1^2*g2^4*t^3.68 + 2*g2^2*t^3.69 + (g2^5*t^3.9)/g1^2 + t^4.2/g2^14 + (g1^2*t^4.41)/g2^7 + g1^4*t^4.62 + t^4.63/g2^4 + g2*t^4.84 + g1^2*g2^3*t^4.84 + g2^6*t^5.06 + t^5.57/g2^10 + (g1^2*t^5.57)/g2^8 + (g1^4*t^5.77)/g2 + (g1^2*t^5.78)/g2^3 + t^5.79/g2^5 + 2*g1^2*g2^2*t^5.99 + g1^4*g2^4*t^5.99 - 2*t^6. + 2*g2^5*t^6.21 + g1^2*g2^7*t^6.21 - (g2^3*t^6.22)/g1^2 + t^6.31/g2^21 + (g2^8*t^6.43)/g1^2 + (g1^2*t^6.51)/g2^14 + (g1^4*t^6.72)/g2^7 + t^6.73/g2^11 + g1^6*t^6.93 + (g1^4*t^6.93)/g2^2 + t^6.94/g2^6 + (g1^2*t^6.94)/g2^4 + 2*g1^4*g2^3*t^7.14 + 2*g1^2*g2*t^7.15 - t^7.16/(g1^2*g2^3) + 2*g1^2*g2^6*t^7.36 + g1^4*g2^8*t^7.36 + g2^4*t^7.37 - (g2^2*t^7.38)/g1^2 + g2^9*t^7.58 + (g2^7*t^7.59)/g1^2 + (g1^2*t^7.67)/g2^15 + t^7.68/g2^17 + (g2^10*t^7.81)/g1^4 + (g1^2*t^7.88)/g2^10 + (g1^4*t^7.88)/g2^8 + t^7.89/g2^12 + (g1^6*t^8.08)/g2 + (g1^4*t^8.09)/g2^3 - (2*t^8.1)/g2^7 + (g1^2*t^8.1)/g2^5 + 2*g1^4*g2^2*t^8.3 + g1^6*g2^4*t^8.3 - 2*g1^2*t^8.31 + t^8.31/g2^2 - t^8.32/(g1^2*g2^4) + t^8.41/g2^28 + 2*g1^2*g2^5*t^8.52 + g1^4*g2^7*t^8.52 - (g2*t^8.53)/g1^2 - 3*g2^3*t^8.53 + (g1^2*t^8.61)/g2^21 + g1^2*g2^10*t^8.73 + g2^8*t^8.74 - (g2^6*t^8.75)/g1^2 + (g1^4*t^8.82)/g2^14 + t^8.83/g2^18 + (g2^11*t^8.96)/g1^2 - t^4.16/(g2*y) - t^6.26/(g2^8*y) - (g1^2*t^6.47)/(g2*y) + (g1^2*t^7.41)/(g2^7*y) + t^7.63/(g2^4*y) + (g1^2*g2^3*t^7.84)/y + t^7.85/(g1^2*g2*y) + (g2^6*t^8.06)/y - t^8.36/(g2^15*y) + t^8.57/(g2^10*y) + (2*g1^2*t^8.78)/(g2^3*y) + (2*t^8.79)/(g2^5*y) + (3*g1^2*g2^2*t^8.99)/y + (g1^4*g2^4*t^8.99)/y - (t^4.16*y)/g2 - (t^6.26*y)/g2^8 - (g1^2*t^6.47*y)/g2 + (g1^2*t^7.41*y)/g2^7 + (t^7.63*y)/g2^4 + g1^2*g2^3*t^7.84*y + (t^7.85*y)/(g1^2*g2) + g2^6*t^8.06*y - (t^8.36*y)/g2^15 + (t^8.57*y)/g2^10 + (2*g1^2*t^8.78*y)/g2^3 + (2*t^8.79*y)/g2^5 + 3*g1^2*g2^2*t^8.99*y + g1^4*g2^4*t^8.99*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 |
|---|---|---|---|---|---|---|---|---|
| 3346 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3M_5$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_6q_2\tilde{q}_1$ + $ M_6\phi_1\tilde{q}_2^2$ | 0.6191 | 0.7561 | 0.8187 | [X:[1.614], M:[0.386, 1.2281, 1.1579, 0.7018, 0.8421, 0.807], q:[0.8596, 0.7544], qb:[0.4386, 0.4035], phi:[0.386]] | t^2.11 + t^2.42 + t^2.53 + t^3.47 + t^3.58 + 2*t^3.68 + 2*t^3.79 + t^4.21 + t^4.53 + t^4.63 + 2*t^4.84 + t^4.95 + t^5.05 + t^5.58 + t^5.68 + t^5.79 + t^5.89 - t^6. - t^4.16/y - t^4.16*y | detail | {a: 10727/17328, c: 6551/8664, X1: 92/57, M1: 22/57, M2: 70/57, M3: 22/19, M4: 40/57, M5: 16/19, M6: 46/57, q1: 49/57, q2: 43/57, qb1: 25/57, qb2: 23/57, phi1: 22/57} |
| 3347 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3M_5$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_6q_2\tilde{q}_1$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6409 | 0.8002 | 0.8009 | [X:[1.6151], M:[0.3849, 1.2302, 1.1547, 0.6942, 0.8453, 0.7631, 0.6875], q:[0.842, 0.7731], qb:[0.4638, 0.3815], phi:[0.3849]] | t^2.06 + t^2.08 + t^2.29 + t^2.54 + t^3.44 + t^3.46 + t^3.67 + 2*t^3.69 + t^4.13 + t^4.15 + t^4.17 + t^4.35 + t^4.37 + t^4.58 + t^4.6 + t^4.62 + t^4.83 + t^4.85 + t^5.07 + t^5.51 + 2*t^5.53 + t^5.55 + 2*t^5.73 + 3*t^5.75 + t^5.77 + t^5.96 + 2*t^5.98 - 2*t^6. - t^4.15/y - t^4.15*y | detail | |
| 3348 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3M_5$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_6q_2\tilde{q}_1$ + $ M_7\phi_1\tilde{q}_2^2$ | 0.6351 | 0.7843 | 0.8098 | [X:[1.6135], M:[0.3865, 1.227, 1.1595, 0.7055, 0.8405, 0.8067, 0.8067], q:[0.8574, 0.7561], qb:[0.4371, 0.4034], phi:[0.3865]] | t^2.12 + 2*t^2.42 + t^2.52 + t^3.48 + 2*t^3.68 + 2*t^3.78 + t^4.23 + 2*t^4.54 + t^4.64 + 4*t^4.84 + 2*t^4.94 + t^5.04 + t^5.6 + t^5.8 + 2*t^5.9 - 2*t^6. - t^4.16/y - t^4.16*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1803 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3M_5$ + $ \phi_1q_1q_2$ + $ M_1X_1$ | 0.603 | 0.728 | 0.8283 | [X:[1.6146], M:[0.3854, 1.2291, 1.1563, 0.698, 0.8437], q:[0.8619, 0.7526], qb:[0.4401, 0.4036], phi:[0.3854]] | t^2.09 + t^2.53 + t^3.47 + 2*t^3.58 + 2*t^3.69 + 2*t^3.8 + t^4.19 + t^4.63 + t^4.84 + t^5.06 + t^5.56 + 2*t^5.67 + t^5.78 - 2*t^6. - t^4.16/y - t^4.16*y | detail |