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 |
|---|---|---|---|---|---|---|---|---|---|
| 4779 | 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2\tilde{q}_1$ + $ M_5M_8$ + $ M_1M_4$ + $ M_7X_1$ | 0.6591 | 0.8181 | 0.8057 | [X:[1.3333], M:[1.1231, 0.7025, 0.9486, 0.8769, 1.1231, 1.0872, 0.6667, 0.8769], q:[0.5257, 0.3512], qb:[0.5257, 0.7718], phi:[0.4564]] | [X:[[0]], M:[[-2], [-6], [-10], [2], [-2], [4], [0], [2]], q:[[5], [-3]], qb:[[5], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_4$, $ M_8$, $ M_3$, $ M_6$, $ M_1$, $ \phi_1q_2^2$, $ q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ X_1$, $ M_2^2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2M_4$, $ M_2M_8$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_3$, $ M_4^2$, $ M_4M_8$, $ M_8^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_6$, $ M_1M_2$, $ M_3M_4$, $ M_3M_8$, $ M_2\phi_1q_2^2$, $ M_3^2$, $ M_4M_6$, $ M_6M_8$ | $M_1M_8$ | -2 | t^2.11 + 2*t^2.63 + t^2.85 + t^3.26 + t^3.37 + t^3.48 + t^3.89 + 2*t^4. + t^4.21 + 3*t^4.52 + 2*t^4.74 + t^4.95 + 3*t^5.26 + t^5.37 + t^5.48 + t^5.58 + t^5.69 + 2*t^5.89 - 2*t^6. + 4*t^6.11 + t^6.21 + 2*t^6.32 + 5*t^6.63 + 3*t^6.85 + t^6.95 + t^7.06 + 5*t^7.15 + 3*t^7.37 + 3*t^7.48 + t^7.58 + t^7.69 + t^7.79 + t^7.8 + 3*t^7.89 + 4*t^8. - 3*t^8.11 + 4*t^8.21 + t^8.32 + t^8.42 + 2*t^8.43 + 5*t^8.52 + t^8.54 - 7*t^8.63 + 6*t^8.74 - 2*t^8.85 + 3*t^8.95 - t^4.37/y - t^6.48/y - t^7.21/y + t^7.52/y + (2*t^7.74)/y + t^7.95/y + (2*t^8.26)/y + t^8.37/y + (3*t^8.48)/y + (2*t^8.89)/y - t^4.37*y - t^6.48*y - t^7.21*y + t^7.52*y + 2*t^7.74*y + t^7.95*y + 2*t^8.26*y + t^8.37*y + 3*t^8.48*y + 2*t^8.89*y | t^2.11/g1^6 + 2*g1^2*t^2.63 + t^2.85/g1^10 + g1^4*t^3.26 + t^3.37/g1^2 + t^3.48/g1^8 + g1^6*t^3.89 + 2*t^4. + t^4.21/g1^12 + 3*g1^8*t^4.52 + (2*t^4.74)/g1^4 + t^4.95/g1^16 + 3*g1^4*t^5.26 + t^5.37/g1^2 + t^5.48/g1^8 + t^5.58/g1^14 + t^5.69/g1^20 + 2*g1^6*t^5.89 - 2*t^6. + (4*t^6.11)/g1^6 + t^6.21/g1^12 + (2*t^6.32)/g1^18 + 5*g1^2*t^6.63 + (3*t^6.85)/g1^10 + t^6.95/g1^16 + t^7.06/g1^22 + 5*g1^10*t^7.15 + (3*t^7.37)/g1^2 + (3*t^7.48)/g1^8 + t^7.58/g1^14 + t^7.69/g1^20 + g1^12*t^7.79 + t^7.8/g1^26 + 3*g1^6*t^7.89 + 4*t^8. - (3*t^8.11)/g1^6 + (4*t^8.21)/g1^12 + t^8.32/g1^18 + g1^14*t^8.42 + (2*t^8.43)/g1^24 + 5*g1^8*t^8.52 + t^8.54/g1^30 - 7*g1^2*t^8.63 + (6*t^8.74)/g1^4 - (2*t^8.85)/g1^10 + (3*t^8.95)/g1^16 - t^4.37/(g1^2*y) - t^6.48/(g1^8*y) - t^7.21/(g1^12*y) + (g1^8*t^7.52)/y + (2*t^7.74)/(g1^4*y) + t^7.95/(g1^16*y) + (2*g1^4*t^8.26)/y + t^8.37/(g1^2*y) + (3*t^8.48)/(g1^8*y) + (2*g1^6*t^8.89)/y - (t^4.37*y)/g1^2 - (t^6.48*y)/g1^8 - (t^7.21*y)/g1^12 + g1^8*t^7.52*y + (2*t^7.74*y)/g1^4 + (t^7.95*y)/g1^16 + 2*g1^4*t^8.26*y + (t^8.37*y)/g1^2 + (3*t^8.48*y)/g1^8 + 2*g1^6*t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 6399 | $M_1q_1q_2$ + $ 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2\tilde{q}_1$ + $ M_5M_8$ + $ M_1M_4$ + $ M_7X_1$ + $ M_1M_9$ | 0.6702 | 0.8369 | 0.8008 | [X:[1.3333], M:[1.1254, 0.7096, 0.9605, 0.8746, 1.1254, 1.0825, 0.6667, 0.8746, 0.8746], q:[0.5198, 0.3548], qb:[0.5198, 0.7706], phi:[0.4588]] | t^2.13 + 3*t^2.62 + t^2.88 + t^3.25 + t^3.51 + t^3.87 + 2*t^4. + t^4.26 + 3*t^4.49 + 3*t^4.75 + t^5.01 + 6*t^5.25 + t^5.38 + t^5.51 + t^5.63 + t^5.76 + 3*t^5.87 - 4*t^6. - t^4.38/y - t^4.38*y | detail | |
| 6398 | $M_1q_1q_2$ + $ 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2\tilde{q}_1$ + $ M_5M_8$ + $ M_1M_4$ + $ M_7X_1$ + $ M_4M_9$ | 0.6482 | 0.7998 | 0.8105 | [X:[1.3333], M:[1.1207, 0.6953, 0.9367, 0.8793, 1.1207, 1.092, 0.6667, 0.8793, 1.1207], q:[0.5317, 0.3477], qb:[0.5317, 0.773], phi:[0.454]] | t^2.09 + t^2.64 + t^2.81 + t^3.28 + 2*t^3.36 + t^3.45 + t^3.91 + 2*t^4. + t^4.17 + 3*t^4.55 + t^4.72 + t^4.9 + t^5.28 + t^5.36 + t^5.45 + t^5.53 + t^5.62 + t^5.91 - 2*t^6. - t^4.36/y - t^4.36*y | detail | |
| 6400 | $M_1q_1q_2$ + $ 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2\tilde{q}_1$ + $ M_5M_8$ + $ M_1M_4$ + $ M_7X_1$ + $ M_9\phi_1q_2^2$ | 0.674 | 0.8443 | 0.7983 | [X:[1.3333], M:[1.1307, 0.7253, 0.9866, 0.8693, 1.1307, 1.072, 0.6667, 0.8693, 0.8107], q:[0.5067, 0.3627], qb:[0.5067, 0.768], phi:[0.464]] | t^2.18 + t^2.43 + 2*t^2.61 + t^2.96 + t^3.22 + t^3.39 + t^3.82 + 2*t^4. + t^4.35 + 3*t^4.43 + t^4.61 + 2*t^4.78 + t^4.86 + 2*t^5.04 + t^5.14 + 3*t^5.22 + 2*t^5.39 + t^5.57 + t^5.65 + 3*t^5.82 + t^5.92 - 2*t^6. - t^4.39/y - t^4.39*y | detail | |
| 6401 | $M_1q_1q_2$ + $ 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2\tilde{q}_1$ + $ M_5M_8$ + $ M_1M_4$ + $ M_7X_1$ + $ M_9q_1\tilde{q}_2$ | 0.6796 | 0.8576 | 0.7925 | [X:[1.3333], M:[1.1216, 0.698, 0.9412, 0.8784, 1.1216, 1.0902, 0.6667, 0.8784, 0.698], q:[0.5294, 0.349], qb:[0.5294, 0.7725], phi:[0.4549]] | 2*t^2.09 + 2*t^2.64 + t^2.82 + t^3.27 + t^3.36 + t^3.46 + 2*t^4. + 3*t^4.19 + 3*t^4.54 + 4*t^4.73 + 2*t^4.92 + 3*t^5.27 + 2*t^5.36 + 2*t^5.46 + 2*t^5.55 + t^5.65 + 2*t^5.91 - 3*t^6. - t^4.36/y - t^4.36*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 |
|---|---|---|---|---|---|---|---|---|---|
| 2648 | 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$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2\tilde{q}_1$ + $ M_5M_8$ | 0.6916 | 0.8693 | 0.7956 | [X:[], M:[1.0001, 0.752, 0.909, 0.843, 1.157, 1.124, 0.719, 0.843], q:[0.624, 0.376], qb:[0.467, 0.781], phi:[0.438]] | t^2.16 + t^2.26 + 2*t^2.53 + t^2.73 + t^3. + t^3.37 + t^3.57 + t^4.12 + t^4.21 + 2*t^4.31 + t^4.41 + t^4.51 + t^4.59 + 2*t^4.69 + 2*t^4.78 + t^4.88 + t^4.98 + 4*t^5.06 + t^5.16 + 2*t^5.26 + t^5.45 + 2*t^5.53 + t^5.63 + t^5.73 + t^5.83 + 2*t^5.9 - 2*t^6. - t^4.31/y - t^4.31*y | detail |