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 |
|---|---|---|---|---|---|---|---|---|---|
| 47054 | 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$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ | 0.6303 | 0.778 | 0.8102 | [X:[], M:[1.2039, 1.0252, 0.7961, 0.8855, 1.1145], q:[0.4427, 0.3534], qb:[0.5321, 0.7612], phi:[0.4777]] | [X:[], M:[[10], [-38], [-10], [14], [-14]], q:[[7], [-17]], qb:[[31], [3]], phi:[[-6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_4$, $ \phi_1^2$, $ M_2$, $ M_5$, $ \phi_1q_2^2$, $ M_1$, $ \phi_1q_1q_2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ \phi_1q_2\tilde{q}_2$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_3\phi_1^2$, $ M_4^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4\phi_1^2$, $ M_2M_4$, $ M_3M_5$, $ \phi_1^4$, $ M_2\phi_1^2$, $ M_3\phi_1q_2^2$ | . | -1 | t^2.39 + t^2.66 + t^2.87 + t^3.08 + t^3.34 + t^3.55 + t^3.61 + t^3.82 + t^3.88 + 2*t^4.09 + t^4.36 + t^4.63 + t^4.78 + t^5.04 + t^5.25 + t^5.31 + t^5.52 + t^5.73 + 2*t^5.94 - t^6. + t^6.15 + 2*t^6.21 - t^6.27 + 2*t^6.42 + 2*t^6.48 + t^6.63 + t^6.69 + 2*t^6.75 + t^6.9 + 2*t^6.96 + t^7.01 + t^7.11 + 2*t^7.16 + t^7.28 + t^7.37 + 2*t^7.43 + t^7.49 + 3*t^7.64 + 2*t^7.7 + 2*t^7.91 + 2*t^7.97 + 3*t^8.18 + t^8.24 + t^8.33 - t^8.39 + t^8.45 + t^8.51 + 2*t^8.6 - 3*t^8.66 + 2*t^8.71 + 2*t^8.81 - 2*t^8.92 + t^8.98 - t^4.43/y - t^7.3/y + t^7.36/y - t^7.51/y + t^7.57/y + t^8.04/y + t^8.25/y + t^8.46/y + t^8.52/y + (2*t^8.73)/y + (2*t^8.94)/y - t^4.43*y - t^7.3*y + t^7.36*y - t^7.51*y + t^7.57*y + t^8.04*y + t^8.25*y + t^8.46*y + t^8.52*y + 2*t^8.73*y + 2*t^8.94*y | t^2.39/g1^10 + g1^14*t^2.66 + t^2.87/g1^12 + t^3.08/g1^38 + t^3.34/g1^14 + t^3.55/g1^40 + g1^10*t^3.61 + t^3.82/g1^16 + g1^34*t^3.88 + 2*g1^8*t^4.09 + g1^32*t^4.36 + g1^56*t^4.63 + t^4.78/g1^20 + g1^4*t^5.04 + t^5.25/g1^22 + g1^28*t^5.31 + g1^2*t^5.52 + t^5.73/g1^24 + (2*t^5.94)/g1^50 - t^6. + t^6.15/g1^76 + (2*t^6.21)/g1^26 - g1^24*t^6.27 + (2*t^6.42)/g1^52 + (2*t^6.48)/g1^2 + t^6.63/g1^78 + t^6.69/g1^28 + 2*g1^22*t^6.75 + t^6.9/g1^54 + (2*t^6.96)/g1^4 + g1^46*t^7.01 + t^7.11/g1^80 + (2*t^7.16)/g1^30 + g1^70*t^7.28 + t^7.37/g1^56 + (2*t^7.43)/g1^6 + g1^44*t^7.49 + (3*t^7.64)/g1^32 + 2*g1^18*t^7.7 + (2*t^7.91)/g1^8 + 2*g1^42*t^7.97 + 3*g1^16*t^8.18 + g1^66*t^8.24 + t^8.33/g1^60 - t^8.39/g1^10 + g1^40*t^8.45 + g1^90*t^8.51 + (2*t^8.6)/g1^36 - 3*g1^14*t^8.66 + 2*g1^64*t^8.71 + (2*t^8.81)/g1^62 - 2*g1^38*t^8.92 + g1^88*t^8.98 - t^4.43/(g1^6*y) - t^7.3/(g1^18*y) + (g1^32*t^7.36)/y - t^7.51/(g1^44*y) + (g1^6*t^7.57)/y + (g1^4*t^8.04)/y + t^8.25/(g1^22*y) + t^8.46/(g1^48*y) + (g1^2*t^8.52)/y + (2*t^8.73)/(g1^24*y) + (2*t^8.94)/(g1^50*y) - (t^4.43*y)/g1^6 - (t^7.3*y)/g1^18 + g1^32*t^7.36*y - (t^7.51*y)/g1^44 + g1^6*t^7.57*y + g1^4*t^8.04*y + (t^8.25*y)/g1^22 + (t^8.46*y)/g1^48 + g1^2*t^8.52*y + (2*t^8.73*y)/g1^24 + (2*t^8.94*y)/g1^50 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55355 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_1M_6$ | 0.6471 | 0.8079 | 0.801 | [X:[], M:[1.2064, 1.0155, 0.7936, 0.889, 1.111, 0.7936], q:[0.4445, 0.3491], qb:[0.54, 0.7619], phi:[0.4761]] | 2*t^2.38 + t^2.67 + t^2.86 + t^3.05 + t^3.33 + t^3.52 + t^3.81 + t^3.91 + 2*t^4.1 + t^4.38 + t^4.67 + 3*t^4.76 + 2*t^5.05 + 2*t^5.24 + t^5.33 + t^5.43 + t^5.52 + 2*t^5.71 + 3*t^5.9 - 2*t^6. - t^4.43/y - t^4.43*y | detail | |
| 55285 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_2\phi_1^2$ | 0.6302 | 0.7777 | 0.8103 | [X:[], M:[1.2, 1.04, 0.8, 0.88, 1.12], q:[0.44, 0.36], qb:[0.52, 0.76], phi:[0.48]] | t^2.4 + t^2.64 + t^2.88 + t^3.12 + t^3.36 + 2*t^3.6 + 2*t^3.84 + 2*t^4.08 + t^4.32 + t^4.56 + t^4.8 + t^5.04 + 2*t^5.28 + t^5.52 + t^5.76 + t^6. - t^4.44/y - t^4.44*y | detail | {a: 157539/250000, c: 97207/125000, M1: 6/5, M2: 26/25, M3: 4/5, M4: 22/25, M5: 28/25, q1: 11/25, q2: 9/25, qb1: 13/25, qb2: 19/25, phi1: 12/25} |
| 55108 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_4M_6$ | 0.6203 | 0.7616 | 0.8145 | [X:[], M:[1.2091, 1.0056, 0.7909, 0.8927, 1.1073, 1.1073], q:[0.4463, 0.3446], qb:[0.5481, 0.7627], phi:[0.4746]] | t^2.37 + t^2.85 + t^3.02 + 2*t^3.32 + t^3.49 + t^3.63 + t^3.8 + t^3.93 + 2*t^4.1 + t^4.41 + t^4.71 + t^4.75 + t^5.22 + t^5.69 + 2*t^5.86 - 2*t^6. - t^4.42/y - t^4.42*y | detail | |
| 55167 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_5M_6$ | 0.6409 | 0.796 | 0.8052 | [X:[], M:[1.1989, 1.0441, 0.8011, 0.8785, 1.1215, 0.8785], q:[0.4392, 0.3618], qb:[0.5166, 0.7597], phi:[0.4807]] | t^2.4 + 2*t^2.64 + t^2.88 + t^3.13 + t^3.6 + t^3.61 + t^3.83 + t^3.85 + 2*t^4.08 + t^4.31 + t^4.54 + t^4.81 + 2*t^5.04 + 3*t^5.27 + t^5.29 + 2*t^5.52 + t^5.77 - 2*t^6. - t^4.44/y - t^4.44*y | detail | |
| 53305 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1q_2$ | 0.6503 | 0.8152 | 0.7977 | [X:[], M:[1.2019, 1.0329, 0.7981, 0.8826, 1.1174, 0.723], q:[0.4413, 0.3568], qb:[0.5258, 0.7606], phi:[0.4789]] | t^2.17 + t^2.39 + t^2.65 + t^2.87 + t^3.1 + t^3.35 + t^3.58 + t^3.61 + t^3.86 + 2*t^4.08 + 2*t^4.34 + t^4.56 + t^4.59 + t^4.79 + t^4.82 + 2*t^5.04 + 2*t^5.27 + t^5.3 + 2*t^5.52 + 2*t^5.75 + t^5.77 + 2*t^5.97 - t^6. - t^4.44/y - t^4.44*y | detail | |
| 52426 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_2^2$ | 0.6471 | 0.8081 | 0.8007 | [X:[], M:[1.1947, 1.0602, 0.8053, 0.8726, 1.1274, 0.7788], q:[0.4363, 0.369], qb:[0.5035, 0.7584], phi:[0.4832]] | t^2.34 + t^2.42 + t^2.62 + t^2.9 + t^3.18 + t^3.38 + t^3.58 + t^3.79 + t^3.87 + 2*t^4.07 + t^4.27 + t^4.47 + t^4.67 + t^4.75 + t^4.83 + t^4.95 + t^5.03 + 2*t^5.24 + t^5.32 + 2*t^5.52 + t^5.72 + t^5.8 + t^5.92 - t^6. - t^4.45/y - t^4.45*y | detail | |
| 55176 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ | 0.6264 | 0.7715 | 0.812 | [X:[], M:[1.199, 1.0437, 0.801, 0.8787, 1.1213, 1.0388], q:[0.4393, 0.3616], qb:[0.517, 0.7597], phi:[0.4806]] | t^2.4 + t^2.64 + t^3.12 + t^3.13 + t^3.36 + t^3.6 + t^3.61 + t^3.83 + t^3.84 + 2*t^4.08 + t^4.31 + t^4.54 + t^4.81 + t^5.04 + t^5.27 + t^5.52 + t^5.75 - t^6. - t^4.44/y - t^4.44*y | detail | |
| 53808 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\tilde{q}_1\tilde{q}_2$ | 0.6508 | 0.8175 | 0.7961 | [X:[], M:[1.2064, 1.0156, 0.7936, 0.889, 1.111, 0.6982], q:[0.4445, 0.3491], qb:[0.5399, 0.7619], phi:[0.4761]] | t^2.09 + t^2.38 + t^2.67 + t^2.86 + t^3.05 + t^3.33 + t^3.52 + t^3.62 + t^3.81 + 2*t^4.1 + t^4.19 + t^4.38 + t^4.48 + t^4.67 + 2*t^4.76 + t^4.95 + t^5.05 + t^5.14 + t^5.24 + t^5.33 + t^5.43 + t^5.52 + t^5.62 + 2*t^5.71 + 3*t^5.9 - t^6. - t^4.43/y - t^4.43*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46784 | 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$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ | 0.7026 | 0.8611 | 0.8159 | [X:[], M:[1.0181, 0.8739, 0.9819, 1.054, 0.946], q:[0.527, 0.4549], qb:[0.5991, 0.4911], phi:[0.482]] | t^2.62 + t^2.84 + t^2.89 + t^2.95 + t^3.05 + t^3.16 + t^3.27 + t^4.18 + t^4.28 + 2*t^4.39 + t^4.5 + 2*t^4.61 + t^4.72 + t^4.82 + t^5.04 + t^5.24 + t^5.46 + t^5.51 + t^5.68 + t^5.73 + t^5.78 + t^5.84 + t^5.89 + t^5.95 - 2*t^6. - t^4.45/y - t^4.45*y | detail |