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 |
|---|---|---|---|---|---|---|---|---|---|
| 55440 | 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_4\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ | 0.6701 | 0.8368 | 0.8008 | [X:[], M:[0.9349, 1.148, 1.0927, 0.852, 0.852, 0.7219], q:[0.5049, 0.5602], qb:[0.3472, 0.7732], phi:[0.4537]] | [X:[], M:[[-10], [-8], [4], [8], [8], [-12]], q:[[11], [-1]], qb:[[-3], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_4$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ q_2\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ M_6^2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ M_4M_6$, $ M_5M_6$, $ \phi_1q_2^2$, $ M_6\phi_1^2$, $ M_1M_6$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ M_1M_4$, $ M_1M_5$, $ M_3M_6$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_3M_4$, $ M_3M_5$, $ M_4\tilde{q}_1\tilde{q}_2$, $ M_5\tilde{q}_1\tilde{q}_2$ | . | -2 | t^2.17 + 2*t^2.56 + t^2.72 + t^2.8 + t^3.28 + t^3.36 + t^3.92 + t^4. + t^4.08 + t^4.33 + t^4.39 + t^4.56 + 3*t^4.72 + t^4.89 + t^4.97 + 3*t^5.11 + 2*t^5.28 + t^5.36 + 2*t^5.44 + t^5.53 + t^5.61 + t^5.83 + 2*t^5.92 - 2*t^6. + 2*t^6.08 + t^6.17 + t^6.25 + t^6.47 + t^6.5 + 2*t^6.56 + t^6.64 + t^6.72 + t^6.8 + 3*t^6.89 + 2*t^6.95 + t^7.05 + 2*t^7.11 + t^7.14 + 5*t^7.28 + 3*t^7.44 + t^7.53 + 2*t^7.61 + 4*t^7.67 + t^7.69 + t^7.78 + 2*t^7.83 + t^7.92 + 2*t^8. + 2*t^8.08 + 2*t^8.25 + t^8.31 + t^8.33 + t^8.39 + 2*t^8.41 + 3*t^8.47 - 5*t^8.56 + 2*t^8.64 + t^8.66 + t^8.78 + t^8.95 + 2*t^8.97 - t^4.36/y - t^6.53/y - t^6.92/y - t^7.17/y + t^7.56/y + (2*t^7.72)/y + t^7.8/y + t^7.89/y + t^7.97/y + t^8.11/y + t^8.2/y + (2*t^8.28)/y + (2*t^8.36)/y + t^8.44/y + (2*t^8.53)/y - t^8.69/y + (2*t^8.83)/y + (2*t^8.92)/y - t^4.36*y - t^6.53*y - t^6.92*y - t^7.17*y + t^7.56*y + 2*t^7.72*y + t^7.8*y + t^7.89*y + t^7.97*y + t^8.11*y + t^8.2*y + 2*t^8.28*y + 2*t^8.36*y + t^8.44*y + 2*t^8.53*y - t^8.69*y + 2*t^8.83*y + 2*t^8.92*y | t^2.17/g1^12 + 2*g1^8*t^2.56 + t^2.72/g1^4 + t^2.8/g1^10 + g1^4*t^3.28 + t^3.36/g1^2 + g1^6*t^3.92 + t^4. + t^4.08/g1^6 + t^4.33/g1^24 + g1^20*t^4.39 + g1^8*t^4.56 + (3*t^4.72)/g1^4 + t^4.89/g1^16 + t^4.97/g1^22 + 3*g1^16*t^5.11 + 2*g1^4*t^5.28 + t^5.36/g1^2 + (2*t^5.44)/g1^8 + t^5.53/g1^14 + t^5.61/g1^20 + g1^12*t^5.83 + 2*g1^6*t^5.92 - 2*t^6. + (2*t^6.08)/g1^6 + t^6.17/g1^12 + t^6.25/g1^18 + g1^14*t^6.47 + t^6.5/g1^36 + 2*g1^8*t^6.56 + g1^2*t^6.64 + t^6.72/g1^4 + t^6.8/g1^10 + (3*t^6.89)/g1^16 + 2*g1^28*t^6.95 + t^7.05/g1^28 + 2*g1^16*t^7.11 + t^7.14/g1^34 + 5*g1^4*t^7.28 + (3*t^7.44)/g1^8 + t^7.53/g1^14 + (2*t^7.61)/g1^20 + 4*g1^24*t^7.67 + t^7.69/g1^26 + t^7.78/g1^32 + 2*g1^12*t^7.83 + g1^6*t^7.92 + 2*t^8. + (2*t^8.08)/g1^6 + (2*t^8.25)/g1^18 + g1^26*t^8.31 + t^8.33/g1^24 + g1^20*t^8.39 + (2*t^8.41)/g1^30 + 3*g1^14*t^8.47 - 5*g1^8*t^8.56 + 2*g1^2*t^8.64 + t^8.66/g1^48 + g1^40*t^8.78 + g1^28*t^8.95 + (2*t^8.97)/g1^22 - t^4.36/(g1^2*y) - t^6.53/(g1^14*y) - (g1^6*t^6.92)/y - t^7.17/(g1^12*y) + (g1^8*t^7.56)/y + (2*t^7.72)/(g1^4*y) + t^7.8/(g1^10*y) + t^7.89/(g1^16*y) + t^7.97/(g1^22*y) + (g1^16*t^8.11)/y + (g1^10*t^8.2)/y + (2*g1^4*t^8.28)/y + (2*t^8.36)/(g1^2*y) + t^8.44/(g1^8*y) + (2*t^8.53)/(g1^14*y) - t^8.69/(g1^26*y) + (2*g1^12*t^8.83)/y + (2*g1^6*t^8.92)/y - (t^4.36*y)/g1^2 - (t^6.53*y)/g1^14 - g1^6*t^6.92*y - (t^7.17*y)/g1^12 + g1^8*t^7.56*y + (2*t^7.72*y)/g1^4 + (t^7.8*y)/g1^10 + (t^7.89*y)/g1^16 + (t^7.97*y)/g1^22 + g1^16*t^8.11*y + g1^10*t^8.2*y + 2*g1^4*t^8.28*y + (2*t^8.36*y)/g1^2 + (t^8.44*y)/g1^8 + (2*t^8.53*y)/g1^14 - (t^8.69*y)/g1^26 + 2*g1^12*t^8.83*y + 2*g1^6*t^8.92*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 |
|---|---|---|---|---|---|---|---|---|
| 57028 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_1M_6$ | 0.6299 | 0.7965 | 0.7908 | [X:[], M:[1.0909, 1.2727, 1.0303, 0.7273, 0.7273, 0.9091], q:[0.3333, 0.5758], qb:[0.3939, 0.7576], phi:[0.4848]] | 2*t^2.18 + t^2.73 + t^2.91 + t^3.09 + t^3.27 + 2*t^3.45 + t^3.64 + t^4. + t^4.18 + 4*t^4.36 + 3*t^4.91 + 2*t^5.09 + t^5.27 + 2*t^5.45 + 5*t^5.64 + 3*t^5.82 - t^6. - t^4.45/y - t^4.45*y | detail | {a: 2515/3993, c: 6361/7986, M1: 12/11, M2: 14/11, M3: 34/33, M4: 8/11, M5: 8/11, M6: 10/11, q1: 1/3, q2: 19/33, qb1: 13/33, qb2: 25/33, phi1: 16/33} |
| 57031 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_1M_7$ | 0.6654 | 0.8297 | 0.8019 | [X:[], M:[0.9631, 1.1705, 1.0814, 0.8295, 0.8295, 0.7558, 1.0369], q:[0.4739, 0.563], qb:[0.3556, 0.7704], phi:[0.4593]] | t^2.27 + 2*t^2.49 + t^2.76 + t^3.11 + t^3.24 + t^3.38 + t^3.87 + t^4. + t^4.13 + t^4.22 + t^4.49 + t^4.53 + 3*t^4.76 + 3*t^4.98 + t^5.02 + 2*t^5.24 + 2*t^5.51 + 2*t^5.6 + t^5.73 + 3*t^5.87 - 2*t^6. - t^4.38/y - t^4.38*y | detail | |
| 57030 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_1$ + $ \phi_1\tilde{q}_2^2$ + $ M_3\phi_1^2$ + $ M_4\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ M_2M_5$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1^2$ | 0.6618 | 0.823 | 0.8042 | [X:[], M:[0.9456, 1.1565, 1.0884, 0.8435, 0.8435, 0.7347, 1.0884], q:[0.4932, 0.5612], qb:[0.3503, 0.7721], phi:[0.4558]] | t^2.2 + 2*t^2.53 + t^2.84 + 2*t^3.27 + t^3.37 + t^3.9 + t^4. + t^4.1 + t^4.33 + t^4.41 + t^4.53 + 3*t^4.73 + t^5.04 + 3*t^5.06 + t^5.37 + 2*t^5.47 + t^5.67 + 3*t^5.8 + 2*t^5.9 - 3*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 |
|---|---|---|---|---|---|---|---|---|---|
| 48140 | 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_4\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ M_2M_5$ | 0.6503 | 0.8006 | 0.8123 | [X:[], M:[0.948, 1.1584, 1.0875, 0.8416, 0.8416], q:[0.4905, 0.5615], qb:[0.3511, 0.7719], phi:[0.4563]] | 2*t^2.52 + t^2.74 + t^2.84 + t^3.26 + t^3.37 + t^3.79 + t^3.89 + t^4. + t^4.11 + t^4.31 + t^4.52 + t^4.74 + 3*t^5.05 + 2*t^5.26 + t^5.37 + t^5.48 + t^5.69 + t^5.79 + 2*t^5.89 - 2*t^6. - t^4.37/y - t^4.37*y | detail |