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 |
|---|---|---|---|---|---|---|---|---|---|
| 4236 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_3M_7$ + $ M_8\phi_1\tilde{q}_2^2$ | 0.6845 | 0.8629 | 0.7932 | [X:[1.3574], M:[1.0228, 1.1673, 0.9772, 0.6426, 0.8327, 0.7148, 1.0228, 0.6693], q:[0.7738, 0.3936], qb:[0.5837, 0.4391], phi:[0.4525]] | [X:[[6]], M:[[-22], [14], [22], [-6], [-14], [12], [-22], [56]], q:[[-1], [15]], qb:[[7], [-29]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ M_6$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_7$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ M_8^2$, $ X_1$, $ M_6M_8$, $ M_6^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_5M_8$, $ M_5M_6$, $ M_8\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_5^2$, $ M_1M_8$, $ M_7M_8$, $ M_1M_6$, $ M_6M_7$, $ M_5\phi_1^2$, $ M_2M_8$, $ M_1M_5$, $ M_5M_7$, $ M_2M_6$, $ M_8q_1\tilde{q}_2$, $ M_8\phi_1q_2^2$, $ M_1\phi_1^2$, $ M_7\phi_1^2$, $ M_6q_1\tilde{q}_2$ | . | -2 | t^2.01 + t^2.14 + t^2.5 + t^2.71 + 2*t^3.07 + t^3.5 + t^3.64 + t^3.72 + t^4.02 + t^4.07 + t^4.15 + 2*t^4.29 + t^4.43 + t^4.51 + t^4.64 + t^4.72 + 2*t^4.86 + t^5. + 2*t^5.08 + 3*t^5.21 + t^5.51 + t^5.57 + 2*t^5.65 + t^5.73 + 3*t^5.78 - 2*t^6. + t^6.02 + t^6.08 + 3*t^6.14 + t^6.16 + 2*t^6.22 + 2*t^6.3 + 3*t^6.43 + t^6.51 + t^6.57 + t^6.65 + 2*t^6.71 + t^6.73 + 2*t^6.79 + 2*t^6.87 - t^6.92 + 3*t^7. + 2*t^7.08 + 3*t^7.14 + 3*t^7.22 + 3*t^7.36 + t^7.44 + t^7.49 + t^7.52 + 2*t^7.57 + 2*t^7.65 + t^7.71 + t^7.73 + 4*t^7.79 + 4*t^7.93 - t^8.01 + t^8.03 + t^8.06 + t^8.09 + t^8.17 + 2*t^8.22 + 2*t^8.28 + 2*t^8.3 + 2*t^8.36 + 3*t^8.44 + t^8.52 + 3*t^8.58 + t^8.63 + t^8.66 + t^8.74 + 2*t^8.79 + 4*t^8.85 + 2*t^8.88 - t^4.36/y - t^6.37/y - t^6.5/y - t^7.07/y + t^7.15/y + t^7.29/y - t^7.43/y + t^7.51/y + (2*t^7.64)/y + t^7.72/y + t^7.86/y + (2*t^8.08)/y + (4*t^8.21)/y + t^8.35/y - t^8.37/y + (2*t^8.57)/y + t^8.65/y + t^8.73/y + (3*t^8.78)/y + t^8.86/y - t^4.36*y - t^6.37*y - t^6.5*y - t^7.07*y + t^7.15*y + t^7.29*y - t^7.43*y + t^7.51*y + 2*t^7.64*y + t^7.72*y + t^7.86*y + 2*t^8.08*y + 4*t^8.21*y + t^8.35*y - t^8.37*y + 2*t^8.57*y + t^8.65*y + t^8.73*y + 3*t^8.78*y + t^8.86*y | g1^56*t^2.01 + g1^12*t^2.14 + t^2.5/g1^14 + g1^4*t^2.71 + (2*t^3.07)/g1^22 + g1^14*t^3.5 + t^3.64/g1^30 + g1^32*t^3.72 + g1^112*t^4.02 + g1^6*t^4.07 + g1^68*t^4.15 + 2*g1^24*t^4.29 + t^4.43/g1^20 + g1^42*t^4.51 + t^4.64/g1^2 + g1^60*t^4.72 + 2*g1^16*t^4.86 + t^5./g1^28 + 2*g1^34*t^5.08 + (3*t^5.21)/g1^10 + g1^70*t^5.51 + t^5.57/g1^36 + 2*g1^26*t^5.65 + g1^88*t^5.73 + (3*t^5.78)/g1^18 - 2*t^6. + g1^168*t^6.02 + g1^62*t^6.08 + (3*t^6.14)/g1^44 + g1^124*t^6.16 + 2*g1^18*t^6.22 + 2*g1^80*t^6.3 + 3*g1^36*t^6.43 + g1^98*t^6.51 + t^6.57/g1^8 + g1^54*t^6.65 + (2*t^6.71)/g1^52 + g1^116*t^6.73 + 2*g1^10*t^6.79 + 2*g1^72*t^6.87 - t^6.92/g1^34 + 3*g1^28*t^7. + 2*g1^90*t^7.08 + (3*t^7.14)/g1^16 + 3*g1^46*t^7.22 + 3*g1^2*t^7.36 + g1^64*t^7.44 + t^7.49/g1^42 + g1^126*t^7.52 + 2*g1^20*t^7.57 + 2*g1^82*t^7.65 + t^7.71/g1^24 + g1^144*t^7.73 + 4*g1^38*t^7.79 + (4*t^7.93)/g1^6 - g1^56*t^8.01 + g1^224*t^8.03 + t^8.06/g1^50 + g1^118*t^8.09 + g1^180*t^8.17 + 2*g1^74*t^8.22 + (2*t^8.28)/g1^32 + 2*g1^136*t^8.3 + 2*g1^30*t^8.36 + 3*g1^92*t^8.44 + g1^154*t^8.52 + 3*g1^48*t^8.58 + t^8.63/g1^58 + g1^110*t^8.66 + g1^172*t^8.74 + 2*g1^66*t^8.79 + (4*t^8.85)/g1^40 + 2*g1^128*t^8.88 - (g1^2*t^4.36)/y - (g1^58*t^6.37)/y - (g1^14*t^6.5)/y - (g1^6*t^7.07)/y + (g1^68*t^7.15)/y + (g1^24*t^7.29)/y - t^7.43/(g1^20*y) + (g1^42*t^7.51)/y + (2*t^7.64)/(g1^2*y) + (g1^60*t^7.72)/y + (g1^16*t^7.86)/y + (2*g1^34*t^8.08)/y + (4*t^8.21)/(g1^10*y) + t^8.35/(g1^54*y) - (g1^114*t^8.37)/y + (2*t^8.57)/(g1^36*y) + (g1^26*t^8.65)/y + (g1^88*t^8.73)/y + (3*t^8.78)/(g1^18*y) + (g1^44*t^8.86)/y - g1^2*t^4.36*y - g1^58*t^6.37*y - g1^14*t^6.5*y - g1^6*t^7.07*y + g1^68*t^7.15*y + g1^24*t^7.29*y - (t^7.43*y)/g1^20 + g1^42*t^7.51*y + (2*t^7.64*y)/g1^2 + g1^60*t^7.72*y + g1^16*t^7.86*y + 2*g1^34*t^8.08*y + (4*t^8.21*y)/g1^10 + (t^8.35*y)/g1^54 - g1^114*t^8.37*y + (2*t^8.57*y)/g1^36 + g1^26*t^8.65*y + g1^88*t^8.73*y + (3*t^8.78*y)/g1^18 + g1^44*t^8.86*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 |
|---|---|---|---|---|---|---|---|---|
| 5721 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_3M_7$ + $ M_8\phi_1\tilde{q}_2^2$ + $ M_2M_8$ | 0.6742 | 0.8474 | 0.7956 | [X:[1.3714], M:[0.9714, 1.2, 1.0286, 0.6286, 0.8, 0.7429, 0.9714, 0.8], q:[0.7714, 0.4286], qb:[0.6, 0.3714], phi:[0.4571]] | t^2.23 + 2*t^2.4 + t^2.74 + 2*t^2.91 + t^3.43 + t^3.6 + t^3.94 + t^4.11 + t^4.29 + 2*t^4.46 + 2*t^4.63 + 3*t^4.8 + 2*t^4.97 + 4*t^5.14 + 3*t^5.31 + 3*t^5.66 + 5*t^5.83 - t^6. - t^4.37/y - t^4.37*y | detail | {a: 462489/686000, c: 290657/343000, X1: 48/35, M1: 34/35, M2: 6/5, M3: 36/35, M4: 22/35, M5: 4/5, M6: 26/35, M7: 34/35, M8: 4/5, q1: 27/35, q2: 3/7, qb1: 3/5, qb2: 13/35, phi1: 16/35} |
| 5726 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_3M_7$ + $ M_8\phi_1\tilde{q}_2^2$ + $ M_2M_9$ | 0.6989 | 0.8875 | 0.7875 | [X:[1.3589], M:[1.0173, 1.1708, 0.9827, 0.6411, 0.8292, 0.7178, 1.0173, 0.6831, 0.8292], q:[0.7735, 0.3973], qb:[0.5854, 0.4319], phi:[0.453]] | t^2.05 + t^2.15 + 2*t^2.49 + t^2.72 + 2*t^3.05 + t^3.62 + t^3.74 + t^4.08 + t^4.1 + t^4.2 + 2*t^4.31 + t^4.41 + 2*t^4.54 + 2*t^4.64 + t^4.77 + 2*t^4.87 + 3*t^4.98 + 2*t^5.1 + 4*t^5.21 + 3*t^5.54 + t^5.67 + 3*t^5.77 + t^5.79 - 3*t^6. - t^4.36/y - t^4.36*y | detail | |
| 5723 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_3M_7$ + $ M_8\phi_1\tilde{q}_2^2$ + $ M_6M_9$ | 0.6643 | 0.8248 | 0.8054 | [X:[1.3579], M:[1.0211, 1.1684, 0.9789, 0.6421, 0.8316, 0.7158, 1.0211, 0.6737, 1.2842], q:[0.7737, 0.3947], qb:[0.5842, 0.4369], phi:[0.4526]] | t^2.02 + t^2.49 + t^2.72 + 2*t^3.06 + t^3.51 + t^3.63 + t^3.73 + t^3.85 + t^4.04 + t^4.07 + t^4.29 + t^4.42 + t^4.52 + t^4.74 + t^4.86 + t^4.99 + 2*t^5.08 + t^5.21 + t^5.53 + t^5.56 + t^5.65 + t^5.75 + 2*t^5.78 - 2*t^6. - t^4.36/y - t^4.36*y | detail | |
| 5720 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_3M_7$ + $ M_8\phi_1\tilde{q}_2^2$ + $ M_8\phi_1^2$ | 0.598 | 0.7605 | 0.7863 | [X:[1.4], M:[0.8667, 1.2667, 1.1333, 0.6, 0.7333, 0.8, 0.8667, 1.0667], q:[0.7667, 0.5], qb:[0.6333, 0.2333], phi:[0.4667]] | t^2.2 + t^2.4 + 2*t^2.6 + t^2.8 + t^3. + t^3.2 + t^3.8 + t^4. + t^4.2 + 2*t^4.4 + t^4.6 + 3*t^4.8 + 3*t^5. + 5*t^5.2 + 4*t^5.4 + 3*t^5.6 + 2*t^5.8 - t^6. - t^4.4/y - t^4.4*y | detail | {a: 299/500, c: 1521/2000, X1: 7/5, M1: 13/15, M2: 19/15, M3: 17/15, M4: 3/5, M5: 11/15, M6: 4/5, M7: 13/15, M8: 16/15, q1: 23/30, q2: 1/2, qb1: 19/30, qb2: 7/30, phi1: 7/15} |
| 5718 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_3M_7$ + $ M_8\phi_1\tilde{q}_2^2$ + $ M_8^2$ | 0.6231 | 0.7883 | 0.7905 | [X:[1.3929], M:[0.8929, 1.25, 1.1071, 0.6071, 0.75, 0.7857, 0.8929, 1.0], q:[0.7679, 0.4821], qb:[0.625, 0.2679], phi:[0.4643]] | t^2.25 + t^2.36 + 2*t^2.68 + t^2.79 + t^3. + t^3.11 + t^3.75 + t^4.07 + t^4.18 + t^4.29 + t^4.5 + t^4.61 + 2*t^4.71 + t^4.93 + 3*t^5.04 + 2*t^5.14 + t^5.25 + 4*t^5.36 + 3*t^5.46 + 2*t^5.68 + 3*t^5.79 - t^6. - t^4.39/y - t^4.39*y | detail | {a: 27357/43904, c: 34609/43904, X1: 39/28, M1: 25/28, M2: 5/4, M3: 31/28, M4: 17/28, M5: 3/4, M6: 11/14, M7: 25/28, M8: 1, q1: 43/56, q2: 27/56, qb1: 5/8, qb2: 15/56, phi1: 13/28} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 2240 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_3M_7$ | 0.6636 | 0.8215 | 0.8079 | [X:[1.3576], M:[1.022, 1.1678, 0.978, 0.6424, 0.8322, 0.7153, 1.022], q:[0.7737, 0.3941], qb:[0.5839, 0.438], phi:[0.4525]] | t^2.15 + t^2.5 + t^2.72 + 2*t^3.07 + t^3.5 + t^3.64 + t^3.72 + t^3.99 + t^4.07 + 2*t^4.29 + t^4.42 + t^4.64 + 2*t^4.86 + t^4.99 + 3*t^5.21 + t^5.56 + t^5.65 + 3*t^5.78 - 2*t^6. - t^4.36/y - t^4.36*y | detail |