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 |
|---|---|---|---|---|---|---|---|---|---|
| 2587 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ M_6\phi_1q_2^2$ + $ M_5M_6$ + $ M_5M_7$ | 0.6951 | 0.8732 | 0.796 | [X:[], M:[1.0, 0.7009, 0.827, 0.8739, 1.1261, 0.8739, 0.8739], q:[0.6496, 0.3504], qb:[0.5234, 0.7757], phi:[0.4252]] | [X:[], M:[[0], [4], [9], [-5], [5], [-5], [-5]], q:[[-2], [2]], qb:[[-7], [3]], phi:[[1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ \phi_1^2$, $ M_4$, $ M_6$, $ M_7$, $ M_1$, $ \phi_1q_2\tilde{q}_1$, $ M_2^2$, $ \phi_1q_1q_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_2M_3$, $ M_2\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_4$, $ M_2M_6$, $ M_2M_7$, $ \phi_1q_1\tilde{q}_1$, $ M_3^2$, $ M_3\phi_1^2$, $ M_1M_2$, $ M_3M_4$, $ M_3M_6$, $ M_3M_7$, $ \phi_1^4$, $ M_4\phi_1^2$, $ M_6\phi_1^2$, $ M_7\phi_1^2$, $ \phi_1q_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_4^2$, $ M_4M_6$, $ M_6^2$, $ M_4M_7$, $ M_6M_7$, $ M_7^2$, $ M_1\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_4$, $ M_1M_6$, $ M_1M_7$, $ \phi_1\tilde{q}_2^2$ | . | -3 | t^2.1 + t^2.48 + t^2.55 + 3*t^2.62 + t^3. + t^3.9 + t^4.21 + 2*t^4.28 + t^4.42 + t^4.58 + 2*t^4.65 + 2*t^4.72 + t^4.79 + t^4.96 + t^5.03 + 4*t^5.1 + 5*t^5.17 + 5*t^5.24 + 2*t^5.55 + t^5.62 + t^5.93 - 3*t^6. + t^6.31 + t^6.45 + 2*t^6.52 + t^6.69 + 2*t^6.76 + 3*t^6.83 + 4*t^6.9 + t^6.97 + 3*t^7.04 + t^7.06 + 2*t^7.14 + 4*t^7.21 + 5*t^7.28 + 3*t^7.35 + 3*t^7.42 + t^7.44 + t^7.51 + 3*t^7.58 + 5*t^7.65 + 7*t^7.72 + 9*t^7.79 + 6*t^7.86 + t^8.03 - 3*t^8.1 + 3*t^8.17 - t^8.24 + t^8.31 + 2*t^8.41 - 3*t^8.48 - 12*t^8.62 + t^8.69 + t^8.79 + t^8.83 + t^8.86 + 2*t^8.93 - t^4.28/y - t^6.38/y - t^6.76/y - t^6.83/y - (2*t^6.9)/y + t^7.58/y + (3*t^7.65)/y + (4*t^7.72)/y + t^7.79/y + t^8.03/y + (4*t^8.1)/y + (4*t^8.17)/y + (3*t^8.24)/y + t^8.55/y + (3*t^8.62)/y - t^8.86/y - t^8.93/y - t^4.28*y - t^6.38*y - t^6.76*y - t^6.83*y - 2*t^6.9*y + t^7.58*y + 3*t^7.65*y + 4*t^7.72*y + t^7.79*y + t^8.03*y + 4*t^8.1*y + 4*t^8.17*y + 3*t^8.24*y + t^8.55*y + 3*t^8.62*y - t^8.86*y - t^8.93*y | g1^4*t^2.1 + g1^9*t^2.48 + g1^2*t^2.55 + (3*t^2.62)/g1^5 + t^3. + t^3.9/g1^4 + g1^8*t^4.21 + 2*g1*t^4.28 + t^4.42/g1^13 + g1^13*t^4.58 + 2*g1^6*t^4.65 + (2*t^4.72)/g1 + t^4.79/g1^8 + g1^18*t^4.96 + g1^11*t^5.03 + 4*g1^4*t^5.1 + (5*t^5.17)/g1^3 + (5*t^5.24)/g1^10 + 2*g1^2*t^5.55 + t^5.62/g1^5 + g1^7*t^5.93 - 3*t^6. + g1^12*t^6.31 + t^6.45/g1^2 + (2*t^6.52)/g1^9 + g1^17*t^6.69 + 2*g1^10*t^6.76 + 3*g1^3*t^6.83 + (4*t^6.9)/g1^4 + t^6.97/g1^11 + (3*t^7.04)/g1^18 + g1^22*t^7.06 + 2*g1^15*t^7.14 + 4*g1^8*t^7.21 + 5*g1*t^7.28 + (3*t^7.35)/g1^6 + (3*t^7.42)/g1^13 + g1^27*t^7.44 + g1^20*t^7.51 + 3*g1^13*t^7.58 + 5*g1^6*t^7.65 + (7*t^7.72)/g1 + (9*t^7.79)/g1^8 + (6*t^7.86)/g1^15 + g1^11*t^8.03 - 3*g1^4*t^8.1 + (3*t^8.17)/g1^3 - t^8.24/g1^10 + t^8.31/g1^17 + 2*g1^16*t^8.41 - 3*g1^9*t^8.48 - (12*t^8.62)/g1^5 + t^8.69/g1^12 + g1^21*t^8.79 + t^8.83/g1^26 + g1^14*t^8.86 + 2*g1^7*t^8.93 - (g1*t^4.28)/y - (g1^5*t^6.38)/y - (g1^10*t^6.76)/y - (g1^3*t^6.83)/y - (2*t^6.9)/(g1^4*y) + (g1^13*t^7.58)/y + (3*g1^6*t^7.65)/y + (4*t^7.72)/(g1*y) + t^7.79/(g1^8*y) + (g1^11*t^8.03)/y + (4*g1^4*t^8.1)/y + (4*t^8.17)/(g1^3*y) + (3*t^8.24)/(g1^10*y) + (g1^2*t^8.55)/y + (3*t^8.62)/(g1^5*y) - (g1^14*t^8.86)/y - (g1^7*t^8.93)/y - g1*t^4.28*y - g1^5*t^6.38*y - g1^10*t^6.76*y - g1^3*t^6.83*y - (2*t^6.9*y)/g1^4 + g1^13*t^7.58*y + 3*g1^6*t^7.65*y + (4*t^7.72*y)/g1 + (t^7.79*y)/g1^8 + g1^11*t^8.03*y + 4*g1^4*t^8.1*y + (4*t^8.17*y)/g1^3 + (3*t^8.24*y)/g1^10 + g1^2*t^8.55*y + (3*t^8.62*y)/g1^5 - g1^14*t^8.86*y - g1^7*t^8.93*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 |
|---|---|---|---|---|---|---|---|---|
| 4674 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ M_6\phi_1q_2^2$ + $ M_5M_6$ + $ M_5M_7$ + $ M_2M_3$ | 0.5987 | 0.7814 | 0.7662 | [X:[], M:[1.0, 0.8462, 1.1538, 0.6923, 1.3077, 0.6923, 0.6923], q:[0.5769, 0.4231], qb:[0.2692, 0.8846], phi:[0.4615]] | 3*t^2.08 + t^2.54 + t^2.77 + 2*t^3. + 2*t^3.46 + t^3.92 + 5*t^4.15 + 2*t^4.38 + 2*t^4.62 + 5*t^4.85 + 5*t^5.08 + 2*t^5.31 + 6*t^5.54 + 3*t^5.77 + 2*t^6. - t^4.38/y - t^4.38*y | detail | {a: 21045/35152, c: 27467/35152, M1: 1, M2: 11/13, M3: 15/13, M4: 9/13, M5: 17/13, M6: 9/13, M7: 9/13, q1: 15/26, q2: 11/26, qb1: 7/26, qb2: 23/26, phi1: 6/13} |
| 4666 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ M_6\phi_1q_2^2$ + $ M_5M_6$ + $ M_5M_7$ + $ M_3\phi_1^2$ | 0.6324 | 0.8142 | 0.7767 | [X:[], M:[1.0, 0.8182, 1.0909, 0.7273, 1.2727, 0.7273, 0.7273], q:[0.5909, 0.4091], qb:[0.3182, 0.8636], phi:[0.4545]] | 3*t^2.18 + t^2.45 + t^2.73 + t^3. + 2*t^3.27 + t^3.55 + t^4.09 + 7*t^4.36 + 2*t^4.64 + 6*t^4.91 + 3*t^5.18 + 7*t^5.45 + 5*t^5.73 - t^6. - t^4.36/y - t^4.36*y | detail | {a: 13467/21296, c: 17339/21296, M1: 1, M2: 9/11, M3: 12/11, M4: 8/11, M5: 14/11, M6: 8/11, M7: 8/11, q1: 13/22, q2: 9/22, qb1: 7/22, qb2: 19/22, phi1: 5/11} |
| 4665 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ M_6\phi_1q_2^2$ + $ M_5M_6$ + $ M_5M_7$ + $ M_3^2$ | 0.6682 | 0.8488 | 0.7873 | [X:[], M:[1.0, 0.7778, 1.0, 0.7778, 1.2222, 0.7778, 0.7778], q:[0.6111, 0.3889], qb:[0.3889, 0.8333], phi:[0.4444]] | 4*t^2.33 + t^2.67 + 2*t^3. + 2*t^3.67 + 3*t^4.33 + 8*t^4.67 + 7*t^5. + 6*t^5.33 + 3*t^5.67 + 3*t^6. - t^4.33/y - t^4.33*y | detail | {a: 433/648, c: 275/324, M1: 1, M2: 7/9, M3: 1, M4: 7/9, M5: 11/9, M6: 7/9, M7: 7/9, q1: 11/18, q2: 7/18, qb1: 7/18, qb2: 5/6, phi1: 4/9} |
| 4668 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ M_6\phi_1q_2^2$ + $ M_5M_6$ + $ M_5M_7$ + $ M_8\phi_1q_2\tilde{q}_1$ | 0.7156 | 0.9125 | 0.7842 | [X:[], M:[1.0, 0.699, 0.8227, 0.8763, 1.1237, 0.8763, 0.8763, 0.699], q:[0.6505, 0.3495], qb:[0.5268, 0.7742], phi:[0.4247]] | 2*t^2.1 + t^2.47 + t^2.55 + 3*t^2.63 + t^3. + 3*t^4.19 + 2*t^4.27 + t^4.43 + 2*t^4.57 + 3*t^4.65 + 5*t^4.73 + t^4.81 + t^4.94 + t^5.02 + 5*t^5.1 + 5*t^5.18 + 5*t^5.26 + 2*t^5.55 + t^5.63 + t^5.92 - 4*t^6. - t^4.27/y - t^4.27*y | detail | |
| 4667 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ M_6\phi_1q_2^2$ + $ M_5M_6$ + $ M_5M_7$ + $ M_8\phi_1^2$ | 0.6821 | 0.8511 | 0.8014 | [X:[], M:[1.0, 0.7051, 0.8364, 0.8687, 1.1313, 0.8687, 0.8687, 1.1475], q:[0.6475, 0.3525], qb:[0.5161, 0.7788], phi:[0.4263]] | t^2.12 + t^2.51 + 3*t^2.61 + t^3. + t^3.44 + t^3.88 + t^4.23 + 2*t^4.28 + t^4.38 + t^4.62 + t^4.67 + 2*t^4.72 + t^4.77 + t^5.02 + 3*t^5.12 + 2*t^5.16 + 5*t^5.21 + 2*t^5.56 + t^5.61 + 2*t^5.95 - 3*t^6. - t^4.28/y - t^4.28*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1468 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ M_1^2$ + $ M_6\phi_1q_2^2$ + $ M_5M_6$ | 0.6844 | 0.8552 | 0.8003 | [X:[], M:[1.0, 0.6894, 0.8011, 0.8883, 1.1117, 0.8883], q:[0.6553, 0.3447], qb:[0.5436, 0.767], phi:[0.4223]] | t^2.07 + t^2.4 + t^2.53 + 2*t^2.66 + t^3. + t^3.34 + t^3.93 + t^4.14 + 2*t^4.27 + t^4.47 + t^4.53 + 2*t^4.6 + t^4.73 + t^4.81 + t^4.86 + t^4.94 + 3*t^5.07 + 4*t^5.2 + 2*t^5.33 + t^5.4 + 2*t^5.53 + t^5.74 + 2*t^5.87 - t^6. - t^4.27/y - t^4.27*y | detail |