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 |
|---|---|---|---|---|---|---|---|---|---|
| 46977 | 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}_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ \phi_1\tilde{q}_2^2$ | 0.6522 | 0.82 | 0.7954 | [X:[], M:[1.177, 0.823, 0.823, 0.7464, 0.7082], q:[0.3732, 0.4497], qb:[0.8038, 0.8038], phi:[0.3923]] | [X:[], M:[[-6], [6], [6], [-14], [-24]], q:[[-7], [13]], qb:[[1], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ \phi_1^2$, $ M_2$, $ M_3$, $ \phi_1q_1^2$, $ M_1$, $ \phi_1q_1q_2$, $ q_2\tilde{q}_1$, $ M_5^2$, $ M_4M_5$, $ M_4^2$, $ M_5\phi_1^2$, $ M_2M_5$, $ M_3M_5$, $ M_4\phi_1^2$, $ M_2M_4$, $ M_3M_4$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_2\phi_1^2$, $ M_3\phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_2M_3$, $ M_3^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_5\phi_1q_1^2$, $ M_1M_5$, $ M_4\phi_1q_1^2$, $ M_1M_4$, $ \phi_1^3q_1^2$, $ M_5\phi_1q_1q_2$, $ M_1\phi_1^2$, $ M_4\phi_1q_1q_2$, $ M_5q_2\tilde{q}_1$ | $M_1M_2$, $ \phi_1^3q_1q_2$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$ | 1 | t^2.12 + t^2.24 + t^2.35 + 2*t^2.47 + t^3.42 + t^3.53 + t^3.65 + t^3.76 + t^4.25 + t^4.36 + 2*t^4.48 + 3*t^4.59 + 3*t^4.71 + 3*t^4.82 + 3*t^4.94 + t^5.54 + 2*t^5.66 + 2*t^5.77 + 3*t^5.89 + t^6. + t^6.11 + t^6.23 + t^6.37 + t^6.49 + 2*t^6.6 + 4*t^6.72 + 5*t^6.83 + 6*t^6.95 + 6*t^7.06 + 4*t^7.18 + 2*t^7.29 + 2*t^7.41 + t^7.67 + 2*t^7.78 + 3*t^7.9 + 4*t^8.01 + 3*t^8.12 + t^8.24 + t^8.35 - 2*t^8.47 + t^8.5 - t^8.58 + t^8.61 + 2*t^8.73 + 4*t^8.84 + 6*t^8.96 - t^4.18/y - t^6.3/y - t^6.42/y - t^6.53/y - t^6.65/y + t^7.36/y + t^7.48/y + (3*t^7.59)/y + (3*t^7.71)/y + (3*t^7.82)/y + (2*t^7.94)/y + t^8.05/y - t^8.43/y + t^8.77/y + (3*t^8.89)/y - t^4.18*y - t^6.3*y - t^6.42*y - t^6.53*y - t^6.65*y + t^7.36*y + t^7.48*y + 3*t^7.59*y + 3*t^7.71*y + 3*t^7.82*y + 2*t^7.94*y + t^8.05*y - t^8.43*y + t^8.77*y + 3*t^8.89*y | t^2.12/g1^24 + t^2.24/g1^14 + t^2.35/g1^4 + 2*g1^6*t^2.47 + t^3.42/g1^16 + t^3.53/g1^6 + g1^4*t^3.65 + g1^14*t^3.76 + t^4.25/g1^48 + t^4.36/g1^38 + (2*t^4.48)/g1^28 + (3*t^4.59)/g1^18 + (3*t^4.71)/g1^8 + 3*g1^2*t^4.82 + 3*g1^12*t^4.94 + t^5.54/g1^40 + (2*t^5.66)/g1^30 + (2*t^5.77)/g1^20 + (3*t^5.89)/g1^10 + t^6. + g1^10*t^6.11 + g1^20*t^6.23 + t^6.37/g1^72 + t^6.49/g1^62 + (2*t^6.6)/g1^52 + (4*t^6.72)/g1^42 + (5*t^6.83)/g1^32 + (6*t^6.95)/g1^22 + (6*t^7.06)/g1^12 + (4*t^7.18)/g1^2 + 2*g1^8*t^7.29 + 2*g1^18*t^7.41 + t^7.67/g1^64 + (2*t^7.78)/g1^54 + (3*t^7.9)/g1^44 + (4*t^8.01)/g1^34 + (3*t^8.12)/g1^24 + t^8.24/g1^14 + t^8.35/g1^4 - 2*g1^6*t^8.47 + t^8.5/g1^96 - g1^16*t^8.58 + t^8.61/g1^86 + (2*t^8.73)/g1^76 + (4*t^8.84)/g1^66 + (6*t^8.96)/g1^56 - t^4.18/(g1^2*y) - t^6.3/(g1^26*y) - t^6.42/(g1^16*y) - t^6.53/(g1^6*y) - (g1^4*t^6.65)/y + t^7.36/(g1^38*y) + t^7.48/(g1^28*y) + (3*t^7.59)/(g1^18*y) + (3*t^7.71)/(g1^8*y) + (3*g1^2*t^7.82)/y + (2*g1^12*t^7.94)/y + (g1^22*t^8.05)/y - t^8.43/(g1^50*y) + t^8.77/(g1^20*y) + (3*t^8.89)/(g1^10*y) - (t^4.18*y)/g1^2 - (t^6.3*y)/g1^26 - (t^6.42*y)/g1^16 - (t^6.53*y)/g1^6 - g1^4*t^6.65*y + (t^7.36*y)/g1^38 + (t^7.48*y)/g1^28 + (3*t^7.59*y)/g1^18 + (3*t^7.71*y)/g1^8 + 3*g1^2*t^7.82*y + 2*g1^12*t^7.94*y + g1^22*t^8.05*y - (t^8.43*y)/g1^50 + (t^8.77*y)/g1^20 + (3*t^8.89*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55382 | $M_1q_1q_2$ + $ 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}_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ \phi_1\tilde{q}_2^2$ + $ M_1M_6$ | 0.6674 | 0.8457 | 0.7891 | [X:[], M:[1.18, 0.82, 0.82, 0.7534, 0.7201, 0.82], q:[0.3767, 0.4433], qb:[0.8033, 0.8033], phi:[0.3933]] | t^2.16 + t^2.26 + t^2.36 + 3*t^2.46 + t^3.44 + t^3.64 + t^3.74 + t^4.32 + t^4.42 + 2*t^4.52 + 4*t^4.62 + 4*t^4.72 + 4*t^4.82 + 6*t^4.92 + t^5.6 + t^5.7 + t^5.8 + 3*t^5.9 - t^6. - t^4.18/y - t^4.18*y | detail | |
| 55042 | $M_1q_1q_2$ + $ 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}_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ \phi_1\tilde{q}_2^2$ + $ M_4M_5$ | 0.5794 | 0.7274 | 0.7965 | [X:[], M:[1.2632, 0.7368, 0.7368, 0.9474, 1.0526], q:[0.4737, 0.2632], qb:[0.7895, 0.7895], phi:[0.4211]] | 2*t^2.21 + t^2.53 + t^2.84 + 2*t^3.16 + t^3.47 + t^3.79 + t^4.11 + 3*t^4.42 + 3*t^4.74 + 3*t^5.05 + 4*t^5.37 + 3*t^5.68 + 2*t^6. - t^4.26/y - t^4.26*y | detail | {a: 63585/109744, c: 39915/54872, M1: 24/19, M2: 14/19, M3: 14/19, M4: 18/19, M5: 20/19, q1: 9/19, q2: 5/19, qb1: 15/19, qb2: 15/19, phi1: 8/19} |
| 50966 | $M_1q_1q_2$ + $ 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}_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ | 0.6696 | 0.8513 | 0.7866 | [X:[], M:[1.1754, 0.8246, 0.8246, 0.7427, 0.7018, 0.7836], q:[0.3714, 0.4532], qb:[0.8041, 0.8041], phi:[0.3918]] | t^2.11 + t^2.23 + 2*t^2.35 + 2*t^2.47 + t^3.4 + t^3.53 + t^3.77 + t^4.21 + t^4.33 + 3*t^4.46 + 4*t^4.58 + 5*t^4.7 + 5*t^4.82 + 3*t^4.95 + t^5.51 + 2*t^5.63 + 2*t^5.75 + 3*t^5.88 - t^4.18/y - t^4.18*y | detail | |
| 55392 | $M_1q_1q_2$ + $ 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}_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ + $ \phi_1\tilde{q}_2^2$ + $ M_6q_2\tilde{q}_1$ | 0.6716 | 0.8566 | 0.784 | [X:[], M:[1.1734, 0.8266, 0.8266, 0.7379, 0.6935, 0.7379], q:[0.3689, 0.4577], qb:[0.8044, 0.8044], phi:[0.3911]] | t^2.08 + 2*t^2.21 + t^2.35 + 2*t^2.48 + t^3.39 + t^3.52 + t^3.65 + t^4.16 + 2*t^4.29 + 4*t^4.43 + 4*t^4.56 + 5*t^4.69 + 3*t^4.83 + 3*t^4.96 + t^5.47 + 3*t^5.6 + 3*t^5.73 + 3*t^5.87 - t^4.17/y - t^4.17*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46786 | 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}_1\tilde{q}_2$ + $ M_5\phi_1q_2^2$ | 0.6572 | 0.8255 | 0.7962 | [X:[], M:[1.1417, 0.7369, 0.8583, 0.7854, 0.6882], q:[0.3927, 0.4656], qb:[0.8704, 0.749], phi:[0.3806]] | t^2.06 + t^2.21 + t^2.28 + t^2.36 + t^2.57 + t^3.43 + t^3.5 + t^3.72 + t^4.01 + t^4.13 + t^4.28 + t^4.35 + 2*t^4.42 + t^4.49 + 2*t^4.57 + 2*t^4.64 + t^4.71 + t^4.79 + 2*t^4.86 + t^4.93 + t^5.15 + t^5.49 + t^5.56 + t^5.64 + t^5.71 + 2*t^5.78 + t^5.85 - t^6. - t^4.14/y - t^4.14*y | detail |