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 |
|---|---|---|---|---|---|---|---|---|---|
| 50803 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1^2$ | 0.6541 | 0.8078 | 0.8098 | [X:[], M:[1.1458, 0.9792, 1.0833, 0.8542, 0.6875, 1.0833], q:[0.4792, 0.375], qb:[0.5417, 0.7708], phi:[0.4583]] | [X:[], M:[[-5], [-13], [4], [5], [-3], [4]], q:[[11], [-6]], qb:[[2], [1]], phi:[[-2]]] | 1 | {a: 4019/6144, c: 4963/6144, M1: 55/48, M2: 47/48, M3: 13/12, M4: 41/48, M5: 11/16, M6: 13/12, q1: 23/48, q2: 3/8, qb1: 13/24, qb2: 37/48, phi1: 11/24} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ M_2$, $ M_3$, $ M_6$, $ M_1$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_5^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_5$, $ \phi_1\tilde{q}_1^2$, $ M_2M_5$, $ M_4^2$, $ M_3M_5$, $ M_5M_6$, $ M_2M_4$, $ M_1M_5$, $ M_3M_4$, $ M_4M_6$, $ M_5q_1\tilde{q}_2$, $ M_2^2$ | $M_5\phi_1q_1q_2$ | -1 | t^2.06 + t^2.56 + t^2.94 + 2*t^3.25 + t^3.44 + t^3.62 + t^3.75 + t^3.94 + 2*t^4.12 + t^4.25 + t^4.44 + 2*t^4.62 + t^5. + t^5.12 + 2*t^5.31 + t^5.5 + 2*t^5.81 + t^5.88 - t^6. + 3*t^6.19 + t^6.31 + t^6.38 + 2*t^6.5 + t^6.56 + 3*t^6.69 + t^6.81 + t^6.88 + 2*t^7. + 2*t^7.06 + 2*t^7.19 + t^7.25 + 3*t^7.38 + 2*t^7.5 + 2*t^7.56 + 2*t^7.69 + t^7.75 + 3*t^7.88 + t^7.94 + t^8. - t^8.06 + t^8.19 + 3*t^8.25 + 2*t^8.38 + t^8.44 + t^8.5 + t^8.69 + 3*t^8.75 + t^8.81 + 2*t^8.88 - 3*t^8.94 - t^4.38/y - t^6.44/y + t^7.12/y - t^7.31/y + t^7.44/y + t^8./y + (3*t^8.31)/y + t^8.5/y + t^8.69/y + (3*t^8.81)/y - t^4.38*y - t^6.44*y + t^7.12*y - t^7.31*y + t^7.44*y + t^8.*y + 3*t^8.31*y + t^8.5*y + t^8.69*y + 3*t^8.81*y | t^2.06/g1^3 + g1^5*t^2.56 + t^2.94/g1^13 + 2*g1^4*t^3.25 + t^3.44/g1^5 + t^3.62/g1^14 + g1^12*t^3.75 + g1^3*t^3.94 + (2*t^4.12)/g1^6 + g1^20*t^4.25 + g1^11*t^4.44 + 2*g1^2*t^4.62 + t^5./g1^16 + g1^10*t^5.12 + 2*g1*t^5.31 + t^5.5/g1^8 + 2*g1^9*t^5.81 + t^5.88/g1^26 - t^6. + (3*t^6.19)/g1^9 + g1^17*t^6.31 + t^6.38/g1^18 + 2*g1^8*t^6.5 + t^6.56/g1^27 + (3*t^6.69)/g1 + g1^25*t^6.81 + t^6.88/g1^10 + 2*g1^16*t^7. + (2*t^7.06)/g1^19 + 2*g1^7*t^7.19 + t^7.25/g1^28 + (3*t^7.38)/g1^2 + 2*g1^24*t^7.5 + (2*t^7.56)/g1^11 + 2*g1^15*t^7.69 + t^7.75/g1^20 + 3*g1^6*t^7.88 + t^7.94/g1^29 + g1^32*t^8. - t^8.06/g1^3 + g1^23*t^8.19 + (3*t^8.25)/g1^12 + 2*g1^14*t^8.38 + t^8.44/g1^21 + g1^40*t^8.5 + g1^31*t^8.69 + (3*t^8.75)/g1^4 + t^8.81/g1^39 + 2*g1^22*t^8.88 - (3*t^8.94)/g1^13 - t^4.38/(g1^2*y) - t^6.44/(g1^5*y) + t^7.12/(g1^6*y) - t^7.31/(g1^15*y) + (g1^11*t^7.44)/y + t^8./(g1^16*y) + (3*g1*t^8.31)/y + t^8.5/(g1^8*y) + t^8.69/(g1^17*y) + (3*g1^9*t^8.81)/y - (t^4.38*y)/g1^2 - (t^6.44*y)/g1^5 + (t^7.12*y)/g1^6 - (t^7.31*y)/g1^15 + g1^11*t^7.44*y + (t^8.*y)/g1^16 + 3*g1*t^8.31*y + (t^8.5*y)/g1^8 + (t^8.69*y)/g1^17 + 3*g1^9*t^8.81*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 |
|---|---|---|---|---|---|---|---|---|
| 56216 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1^2$ + $ M_1M_7$ | 0.6672 | 0.8304 | 0.8034 | [X:[], M:[1.1518, 0.9946, 1.0786, 0.8482, 0.6911, 1.0786, 0.8482], q:[0.4661, 0.3821], qb:[0.5393, 0.7696], phi:[0.4607]] | t^2.07 + 2*t^2.54 + t^2.98 + 2*t^3.24 + t^3.67 + t^3.71 + t^3.93 + 2*t^4.15 + t^4.18 + t^4.4 + 3*t^4.62 + t^5.06 + 3*t^5.09 + 2*t^5.31 + t^5.53 + 4*t^5.78 + t^5.97 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
| 56215 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1^2$ + $ M_2M_7$ | 0.6545 | 0.8105 | 0.8076 | [X:[], M:[1.1651, 1.0294, 1.0679, 0.8349, 0.6991, 1.0679, 0.9706], q:[0.4367, 0.3982], qb:[0.5339, 0.767], phi:[0.4661]] | t^2.1 + t^2.5 + t^2.91 + 2*t^3.2 + t^3.5 + t^3.61 + t^3.79 + t^3.9 + t^4.02 + 2*t^4.19 + t^4.31 + 2*t^4.6 + 2*t^5.01 + 2*t^5.3 + t^5.42 + 2*t^5.71 + t^5.82 - t^6. - t^4.4/y - t^4.4*y | detail | |
| 56213 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1^2$ + $ M_2^2$ | 0.6537 | 0.8076 | 0.8095 | [X:[], M:[1.1538, 1.0, 1.0769, 0.8462, 0.6923, 1.0769], q:[0.4615, 0.3846], qb:[0.5385, 0.7692], phi:[0.4615]] | t^2.08 + t^2.54 + t^3. + 2*t^3.23 + t^3.46 + 2*t^3.69 + t^3.92 + 3*t^4.15 + t^4.38 + 2*t^4.62 + 2*t^5.08 + 2*t^5.31 + t^5.54 + 2*t^5.77 - t^4.38/y - t^4.38*y | detail | {a: 5745/8788, c: 7097/8788, M1: 15/13, M2: 1, M3: 14/13, M4: 11/13, M5: 9/13, M6: 14/13, q1: 6/13, q2: 5/13, qb1: 7/13, qb2: 10/13, phi1: 6/13} |
| 56218 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_1q_2$ | 0.6748 | 0.848 | 0.7958 | [X:[], M:[1.1453, 0.9778, 1.0838, 0.8547, 0.6872, 1.0838, 0.6872], q:[0.4803, 0.3744], qb:[0.5419, 0.7709], phi:[0.4581]] | 2*t^2.06 + t^2.56 + t^2.93 + 2*t^3.25 + t^3.44 + t^3.62 + t^3.75 + 4*t^4.12 + t^4.26 + t^4.44 + 3*t^4.63 + 2*t^4.99 + t^5.13 + 4*t^5.31 + 2*t^5.5 + t^5.68 + 3*t^5.82 + t^5.87 - 2*t^6. - t^4.37/y - t^4.37*y | detail | |
| 56217 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1^2$ + $ M_7q_1\tilde{q}_2$ | 0.6735 | 0.8436 | 0.7984 | [X:[], M:[1.1393, 0.9621, 1.0886, 0.8607, 0.6836, 1.0886, 0.7343], q:[0.4936, 0.3671], qb:[0.5443, 0.7721], phi:[0.4557]] | t^2.05 + t^2.2 + t^2.58 + t^2.89 + 2*t^3.27 + t^3.42 + t^3.57 + t^3.95 + 2*t^4.1 + t^4.25 + t^4.33 + t^4.41 + t^4.48 + 2*t^4.63 + t^4.78 + t^4.94 + t^5.09 + t^5.16 + 2*t^5.32 + 3*t^5.47 + t^5.62 + 2*t^5.77 + t^5.85 - t^6. - t^4.37/y - t^4.37*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46814 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_4$ + $ M_5\tilde{q}_1\tilde{q}_2$ | 0.662 | 0.821 | 0.8063 | [X:[], M:[1.1403, 0.9647, 1.0878, 0.8597, 0.6842], q:[0.4914, 0.3683], qb:[0.5439, 0.7719], phi:[0.4561]] | t^2.05 + t^2.58 + t^2.74 + t^2.89 + t^3.26 + t^3.42 + t^3.58 + t^3.79 + t^3.95 + 2*t^4.1 + t^4.32 + t^4.47 + 2*t^4.63 + t^4.79 + t^4.95 + t^5.16 + 2*t^5.32 + 2*t^5.47 + t^5.63 + t^5.79 + t^5.84 - t^4.37/y - t^4.37*y | detail |