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 |
|---|---|---|---|---|---|---|---|---|---|
| 3640 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6522 | 0.858 | 0.7602 | [X:[], M:[1.0, 0.8868, 0.7076, 0.7641, 0.7076], q:[0.7641, 0.2359], qb:[0.5283, 0.5849], phi:[0.4717]] | [X:[], M:[[0], [-8], [-3], [1], [-3]], q:[[1], [-1]], qb:[[2], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_5$, $ M_4$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_2$, $ \phi_1^2$, $ \phi_1q_2^2$, $ M_1$, $ q_1\tilde{q}_2$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ M_3M_4$, $ M_4M_5$, $ \phi_1q_1q_2$, $ M_3q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ M_4^2$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_3q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ M_2M_5$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_2M_4$, $ M_3\phi_1^2$, $ M_5\phi_1^2$, $ M_3\phi_1q_2^2$, $ M_5\phi_1q_2^2$, $ M_1M_3$, $ M_1M_5$, $ M_4\phi_1^2$, $ M_4\phi_1q_2^2$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_1$, $ M_1M_4$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2^2$, $ \phi_1q_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_2\phi_1q_2^2$, $ M_1M_2$, $ \phi_1^4$, $ \phi_1^3q_2^2$, $ \phi_1^2q_2^4$ | . | -3 | 2*t^2.12 + 2*t^2.29 + t^2.46 + t^2.66 + 2*t^2.83 + t^3. + t^4.05 + 3*t^4.25 + 4*t^4.42 + 6*t^4.58 + 3*t^4.75 + 2*t^4.78 + 2*t^4.92 + 5*t^4.95 + 6*t^5.12 + 4*t^5.29 + t^5.32 + t^5.46 + 2*t^5.49 + 4*t^5.66 - 3*t^6. + t^6.34 + 3*t^6.37 + t^6.51 + 4*t^6.54 + 9*t^6.71 + 10*t^6.88 + 3*t^6.91 + 8*t^7.05 + 8*t^7.08 + 4*t^7.22 + 12*t^7.25 + 2*t^7.39 + 13*t^7.42 + 2*t^7.44 + 8*t^7.58 + 5*t^7.61 + 3*t^7.75 + 10*t^7.78 + 7*t^7.95 + t^7.98 - 3*t^8.12 + 2*t^8.15 - 8*t^8.29 + 4*t^8.32 - 8*t^8.46 + 8*t^8.49 - t^8.63 + t^8.8 + t^8.83 + 2*t^8.97 - t^4.42/y - (2*t^6.54)/y - t^6.71/y - t^7.08/y + (4*t^7.42)/y + (4*t^7.58)/y + (3*t^7.75)/y + (2*t^7.78)/y + (6*t^7.95)/y + (8*t^8.12)/y + (6*t^8.29)/y + t^8.46/y + (2*t^8.49)/y - t^8.66/y - t^4.42*y - 2*t^6.54*y - t^6.71*y - t^7.08*y + 4*t^7.42*y + 4*t^7.58*y + 3*t^7.75*y + 2*t^7.78*y + 6*t^7.95*y + 8*t^8.12*y + 6*t^8.29*y + t^8.46*y + 2*t^8.49*y - t^8.66*y | (2*t^2.12)/g1^3 + 2*g1*t^2.29 + g1^5*t^2.46 + t^2.66/g1^8 + (2*t^2.83)/g1^4 + t^3. + g1^7*t^4.05 + (3*t^4.25)/g1^6 + (4*t^4.42)/g1^2 + 6*g1^2*t^4.58 + 3*g1^6*t^4.75 + (2*t^4.78)/g1^11 + 2*g1^10*t^4.92 + (5*t^4.95)/g1^7 + (6*t^5.12)/g1^3 + 4*g1*t^5.29 + t^5.32/g1^16 + g1^5*t^5.46 + (2*t^5.49)/g1^12 + (4*t^5.66)/g1^8 - 3*t^6. + g1^8*t^6.34 + (3*t^6.37)/g1^9 + g1^12*t^6.51 + (4*t^6.54)/g1^5 + (9*t^6.71)/g1 + 10*g1^3*t^6.88 + (3*t^6.91)/g1^14 + 8*g1^7*t^7.05 + (8*t^7.08)/g1^10 + 4*g1^11*t^7.22 + (12*t^7.25)/g1^6 + 2*g1^15*t^7.39 + (13*t^7.42)/g1^2 + (2*t^7.44)/g1^19 + 8*g1^2*t^7.58 + (5*t^7.61)/g1^15 + 3*g1^6*t^7.75 + (10*t^7.78)/g1^11 + (7*t^7.95)/g1^7 + t^7.98/g1^24 - (3*t^8.12)/g1^3 + (2*t^8.15)/g1^20 - 8*g1*t^8.29 + (4*t^8.32)/g1^16 - 8*g1^5*t^8.46 + (8*t^8.49)/g1^12 - g1^9*t^8.63 + g1^13*t^8.8 + t^8.83/g1^4 + 2*g1^17*t^8.97 - t^4.42/(g1^2*y) - (2*t^6.54)/(g1^5*y) - t^6.71/(g1*y) - t^7.08/(g1^10*y) + (4*t^7.42)/(g1^2*y) + (4*g1^2*t^7.58)/y + (3*g1^6*t^7.75)/y + (2*t^7.78)/(g1^11*y) + (6*t^7.95)/(g1^7*y) + (8*t^8.12)/(g1^3*y) + (6*g1*t^8.29)/y + (g1^5*t^8.46)/y + (2*t^8.49)/(g1^12*y) - t^8.66/(g1^8*y) - (t^4.42*y)/g1^2 - (2*t^6.54*y)/g1^5 - (t^6.71*y)/g1 - (t^7.08*y)/g1^10 + (4*t^7.42*y)/g1^2 + 4*g1^2*t^7.58*y + 3*g1^6*t^7.75*y + (2*t^7.78*y)/g1^11 + (6*t^7.95*y)/g1^7 + (8*t^8.12*y)/g1^3 + 6*g1*t^8.29*y + g1^5*t^8.46*y + (2*t^8.49*y)/g1^12 - (t^8.66*y)/g1^8 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3913 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_2M_6$ | 0.6447 | 0.8459 | 0.7621 | [X:[], M:[1.0, 0.951, 0.7316, 0.7561, 0.7316, 1.049], q:[0.7561, 0.2439], qb:[0.5122, 0.5367], phi:[0.4878]] | 2*t^2.19 + 2*t^2.27 + t^2.34 + 2*t^2.93 + t^3. + t^3.15 + t^3.88 + 3*t^4.39 + 4*t^4.46 + 6*t^4.54 + 3*t^4.61 + 2*t^4.68 + 3*t^5.12 + 5*t^5.19 + 4*t^5.27 + 3*t^5.34 + 2*t^5.42 + t^5.49 + 3*t^5.85 - 3*t^6. - t^4.46/y - t^4.46*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3222 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_3q_1\tilde{q}_1$ + $ M_3\phi_1q_2\tilde{q}_2$ + $ M_4\phi_1q_2\tilde{q}_1$ | 0.6318 | 0.8193 | 0.7712 | [X:[], M:[1.0, 0.8927, 0.7098, 0.7634], q:[0.7634, 0.2366], qb:[0.5268, 0.5805], phi:[0.4732]] | t^2.13 + 2*t^2.29 + t^2.45 + t^2.68 + 2*t^2.84 + t^3. + t^3.87 + t^4.03 + t^4.26 + 2*t^4.42 + 5*t^4.58 + 3*t^4.74 + t^4.81 + 2*t^4.9 + 3*t^4.97 + 5*t^5.13 + 4*t^5.29 + t^5.36 + t^5.45 + 2*t^5.52 + 4*t^5.68 - 2*t^6. - t^4.42/y - t^4.42*y | detail |