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 |
|---|---|---|---|---|---|---|---|---|---|
| 1366 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6463 | 0.8724 | 0.7409 | [X:[], M:[0.922, 1.2339, 0.7661, 0.7661, 0.6949, 0.6949], q:[0.7305, 0.3475], qb:[0.3475, 0.4186], phi:[0.539]] | [X:[], M:[[4], [-12], [12], [12], [-10], [-10]], q:[[1], [-5]], qb:[[-5], [17]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_6$, $ q_2\tilde{q}_1$, $ M_3$, $ M_4$, $ q_2\tilde{q}_2$, $ M_1$, $ \phi_1^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_3M_5$, $ M_4M_5$, $ M_3M_6$, $ M_4M_6$, $ M_3q_2\tilde{q}_1$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_2$, $ M_6q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3M_4$, $ M_4^2$, $ M_3q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_1M_5$, $ M_1M_6$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_1M_3$, $ M_1M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ M_5q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_1^2$, $ M_3\phi_1^2$, $ M_4\phi_1^2$, $ M_3q_1\tilde{q}_1$, $ M_4q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_2$, $ M_6q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ M_3q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$, $ M_5\phi_1q_2^2$, $ M_6\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_5\phi_1\tilde{q}_1^2$, $ M_6\phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1^3$ | $M_3\phi_1q_2^2$, $ M_3\phi_1\tilde{q}_1^2$, $ M_4\phi_1\tilde{q}_1^2$, $ \phi_1q_2^3\tilde{q}_2$ | 1 | 3*t^2.08 + 3*t^2.3 + t^2.77 + 2*t^3.23 + t^3.45 + 2*t^3.7 + t^4.13 + 6*t^4.17 + 9*t^4.38 + 6*t^4.6 + 3*t^4.85 + 3*t^5.06 + 6*t^5.32 + 9*t^5.53 + 3*t^5.75 + 4*t^5.79 + t^6. + t^6.21 + 10*t^6.25 + 3*t^6.43 + 18*t^6.47 + 17*t^6.68 + 11*t^6.89 + 7*t^6.94 + 5*t^7.15 + 6*t^7.36 + 12*t^7.4 + t^7.58 + 16*t^7.62 + 17*t^7.83 + 6*t^7.87 + 6*t^8.04 - 3*t^8.08 + t^8.26 - 3*t^8.3 + 15*t^8.34 + 3*t^8.51 + 28*t^8.55 + 6*t^8.73 + 28*t^8.77 + 28*t^8.98 - t^4.62/y - (2*t^6.7)/y - t^6.92/y + (3*t^7.17)/y + (9*t^7.38)/y + (3*t^7.6)/y + (3*t^7.85)/y + (3*t^8.06)/y + (7*t^8.32)/y + (11*t^8.53)/y + (3*t^8.75)/y + (3*t^8.79)/y - t^4.62*y - 2*t^6.7*y - t^6.92*y + 3*t^7.17*y + 9*t^7.38*y + 3*t^7.6*y + 3*t^7.85*y + 3*t^8.06*y + 7*t^8.32*y + 11*t^8.53*y + 3*t^8.75*y + 3*t^8.79*y | (3*t^2.08)/g1^10 + 3*g1^12*t^2.3 + g1^4*t^2.77 + (2*t^3.23)/g1^4 + g1^18*t^3.45 + (2*t^3.7)/g1^12 + g1^32*t^4.13 + (6*t^4.17)/g1^20 + 9*g1^2*t^4.38 + 6*g1^24*t^4.6 + (3*t^4.85)/g1^6 + 3*g1^16*t^5.06 + (6*t^5.32)/g1^14 + 9*g1^8*t^5.53 + 3*g1^30*t^5.75 + (4*t^5.79)/g1^22 + t^6. + g1^22*t^6.21 + (10*t^6.25)/g1^30 + 3*g1^44*t^6.43 + (18*t^6.47)/g1^8 + 17*g1^14*t^6.68 + 11*g1^36*t^6.89 + (7*t^6.94)/g1^16 + 5*g1^6*t^7.15 + 6*g1^28*t^7.36 + (12*t^7.4)/g1^24 + g1^50*t^7.58 + (16*t^7.62)/g1^2 + 17*g1^20*t^7.83 + (6*t^7.87)/g1^32 + 6*g1^42*t^8.04 - (3*t^8.08)/g1^10 + g1^64*t^8.26 - 3*g1^12*t^8.3 + (15*t^8.34)/g1^40 + 3*g1^34*t^8.51 + (28*t^8.55)/g1^18 + 6*g1^56*t^8.73 + 28*g1^4*t^8.77 + 28*g1^26*t^8.98 - t^4.62/(g1^2*y) - (2*t^6.7)/(g1^12*y) - (g1^10*t^6.92)/y + (3*t^7.17)/(g1^20*y) + (9*g1^2*t^7.38)/y + (3*g1^24*t^7.6)/y + (3*t^7.85)/(g1^6*y) + (3*g1^16*t^8.06)/y + (7*t^8.32)/(g1^14*y) + (11*g1^8*t^8.53)/y + (3*g1^30*t^8.75)/y + (3*t^8.79)/(g1^22*y) - (t^4.62*y)/g1^2 - (2*t^6.7*y)/g1^12 - g1^10*t^6.92*y + (3*t^7.17*y)/g1^20 + 9*g1^2*t^7.38*y + 3*g1^24*t^7.6*y + (3*t^7.85*y)/g1^6 + 3*g1^16*t^8.06*y + (7*t^8.32*y)/g1^14 + 11*g1^8*t^8.53*y + 3*g1^30*t^8.75*y + (3*t^8.79*y)/g1^22 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2425 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.6418 | 0.8691 | 0.7385 | [X:[], M:[0.9091, 1.2727, 0.7273, 0.7273, 0.7273, 0.7273], q:[0.7273, 0.3636], qb:[0.3636, 0.3636], phi:[0.5455]] | 6*t^2.18 + t^2.73 + 3*t^3.27 + 3*t^3.82 + 21*t^4.36 + 6*t^4.91 + 18*t^5.45 + 9*t^6. - t^4.64/y - t^4.64*y | detail | {a: 3417/5324, c: 4627/5324, M1: 10/11, M2: 14/11, M3: 8/11, M4: 8/11, M5: 8/11, M6: 8/11, q1: 8/11, q2: 4/11, qb1: 4/11, qb2: 4/11, phi1: 6/11} |
| 2427 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.6648 | 0.9062 | 0.7336 | [X:[], M:[0.9195, 1.2414, 0.7586, 0.7586, 0.7012, 0.7012, 0.7586], q:[0.7299, 0.3506], qb:[0.3506, 0.408], phi:[0.5402]] | 3*t^2.1 + 4*t^2.28 + t^2.76 + 2*t^3.24 + t^3.41 + t^3.72 + t^4.07 + 6*t^4.21 + 12*t^4.38 + 10*t^4.55 + 3*t^4.86 + 4*t^5.03 + 6*t^5.35 + 11*t^5.52 + 4*t^5.69 + t^5.83 - t^6. - t^4.62/y - t^4.62*y | detail | |
| 2426 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ | 0.6604 | 0.8968 | 0.7363 | [X:[], M:[0.9278, 1.2165, 0.7835, 0.7835, 0.6804, 0.6804, 0.8247], q:[0.732, 0.3402], qb:[0.3402, 0.4434], phi:[0.5361]] | 3*t^2.04 + 3*t^2.35 + t^2.47 + t^2.78 + 2*t^3.22 + 2*t^3.65 + 6*t^4.08 + t^4.27 + 9*t^4.39 + 3*t^4.52 + 6*t^4.7 + 6*t^4.82 + t^4.95 + 3*t^5.13 + 7*t^5.26 + 6*t^5.57 + 6*t^5.69 + t^6. - t^4.61/y - t^4.61*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 |
|---|---|---|---|---|---|---|---|---|---|
| 871 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_2M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2^2$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6257 | 0.8329 | 0.7513 | [X:[], M:[0.9213, 1.2362, 0.7638, 0.7638, 0.6968], q:[0.7303, 0.3484], qb:[0.3484, 0.4154], phi:[0.5394]] | 2*t^2.09 + 3*t^2.29 + t^2.76 + 2*t^3.24 + t^3.44 + 2*t^3.71 + t^3.91 + t^4.11 + 3*t^4.18 + 6*t^4.38 + 6*t^4.58 + 2*t^4.85 + 3*t^5.06 + 4*t^5.33 + 8*t^5.53 + 3*t^5.73 + 2*t^5.8 + 3*t^6. - t^4.62/y - t^4.62*y | detail |