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 |
|---|---|---|---|---|---|---|---|---|---|
| 3722 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ q_2\tilde{q}_2$ + $ M_4X_2$ + $ \phi_1^2X_3$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_1M_5$ | 0.4674 | 0.5477 | 0.8533 | [X:[1.7143, 1.7143, 1.4286], M:[1.1429, 0.2857, 0.8571, 0.2857, 0.8571, 0.8571], q:[0.4286, 1.2857], qb:[0.4286, 0.7143], phi:[0.2857]] | [X:[[0], [0], [0]], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 2565/5488, c: 1503/2744, X1: 12/7, X2: 12/7, X3: 10/7, M1: 8/7, M2: 2/7, M3: 6/7, M4: 2/7, M5: 6/7, M6: 6/7, q1: 3/7, q2: 9/7, qb1: 3/7, qb2: 5/7, phi1: 2/7} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_5$, $ M_6$, $ M_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_3$, $ M_3^2$, $ M_3M_5$, $ M_5^2$, $ M_3M_6$, $ M_5M_6$, $ M_6^2$, $ q_1q_2$, $ X_1$, $ X_2$ | $M_1M_6$ | -1 | 3*t^2.57 + t^3.43 + t^4.29 + 6*t^5.14 - t^6. + 8*t^7.71 - 5*t^8.57 - t^3.86/y - (2*t^6.43)/y + (2*t^7.29)/y + (3*t^8.14)/y - t^3.86*y - 2*t^6.43*y + 2*t^7.29*y + 3*t^8.14*y | 3*t^2.57 + t^3.43 + t^4.29 + 6*t^5.14 - t^6. + 8*t^7.71 - 5*t^8.57 - t^3.86/y - (2*t^6.43)/y + (2*t^7.29)/y + (3*t^8.14)/y - t^3.86*y - 2*t^6.43*y + 2*t^7.29*y + 3*t^8.14*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 |
|---|---|---|---|---|---|---|---|---|
| 5346 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ q_2\tilde{q}_2$ + $ M_4X_2$ + $ \phi_1^2X_3$ + $ M_6\tilde{q}_1\tilde{q}_2$ + $ M_1M_5$ + $ M_1M_7$ | 0.48 | 0.5692 | 0.8431 | [X:[1.7143, 1.7143, 1.4286], M:[1.1429, 0.2857, 0.8571, 0.2857, 0.8571, 0.8571, 0.8571], q:[0.4286, 1.2857], qb:[0.4286, 0.7143], phi:[0.2857]] | 4*t^2.57 + t^4.29 + 10*t^5.14 - 4*t^6. - t^3.86/y - t^3.86*y | detail | {a: 1317/2744, c: 781/1372, X1: 12/7, X2: 12/7, X3: 10/7, M1: 8/7, M2: 2/7, M3: 6/7, M4: 2/7, M5: 6/7, M6: 6/7, M7: 6/7, q1: 3/7, q2: 9/7, qb1: 3/7, qb2: 5/7, phi1: 2/7} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3284 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_1M_3$ + $ M_2X_1$ + $ M_4q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_2$ + $ q_2\tilde{q}_2$ + $ M_4X_2$ + $ \phi_1^2X_3$ + $ M_6\tilde{q}_1\tilde{q}_2$ | 0.4801 | 0.5664 | 0.8477 | [X:[1.8405, 1.6196, 1.4601], M:[1.0797, 0.1595, 0.9203, 0.3804, 0.6994, 0.8098], q:[0.5154, 1.2147], qb:[0.4049, 0.7853], phi:[0.2699]] | t^2.1 + t^2.43 + t^2.76 + t^3.24 + t^4.2 + t^4.38 + t^4.53 + 2*t^4.86 + t^5.19 + t^5.34 + t^5.52 - t^6. - t^3.81/y - t^5.91/y - t^3.81*y - t^5.91*y | detail |