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 |
|---|---|---|---|---|---|---|---|---|---|
| 5444 | 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_1M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1^2$ + $ M_2M_6$ | 0.5639 | 0.7107 | 0.7935 | [X:[1.5652], M:[0.6957, 1.0435, 1.3043, 0.4348, 0.6957, 0.9565, 1.1304], q:[0.3913, 0.913], qb:[0.3043, 0.6522], phi:[0.4348]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 54891/97336, c: 34587/48668, X1: 36/23, M1: 16/23, M2: 24/23, M3: 30/23, M4: 10/23, M5: 16/23, M6: 22/23, M7: 26/23, q1: 9/23, q2: 21/23, qb1: 7/23, qb2: 15/23, phi1: 10/23} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_5$, $ M_6$, $ M_2$, $ q_1\tilde{q}_2$, $ M_7$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ q_2\tilde{q}_1$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ M_1M_6$, $ M_5M_6$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_2$, $ M_2M_5$, $ \phi_1q_1q_2$, $ M_5q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_7$, $ M_5M_7$, $ M_5\phi_1q_1\tilde{q}_1$, $ M_6^2$, $ M_5\phi_1q_1^2$, $ M_5q_2\tilde{q}_1$ | . | -1 | 2*t^2.09 + t^2.87 + 2*t^3.13 + 2*t^3.39 + 2*t^3.65 + 3*t^4.17 + t^4.7 + 2*t^4.96 + 4*t^5.22 + 3*t^5.48 + 3*t^5.74 - t^6. + 6*t^6.26 + 3*t^6.52 + 5*t^6.78 + 3*t^7.04 + 6*t^7.3 + 2*t^7.57 + 3*t^7.83 - 2*t^8.09 + 8*t^8.35 + 3*t^8.61 + 4*t^8.87 - t^4.3/y - t^6.39/y + t^7.17/y + (2*t^7.96)/y + (5*t^8.22)/y + (3*t^8.48)/y + (4*t^8.74)/y - t^4.3*y - t^6.39*y + t^7.17*y + 2*t^7.96*y + 5*t^8.22*y + 3*t^8.48*y + 4*t^8.74*y | 2*t^2.09 + t^2.87 + 2*t^3.13 + 2*t^3.39 + 2*t^3.65 + 3*t^4.17 + t^4.7 + 2*t^4.96 + 4*t^5.22 + 3*t^5.48 + 3*t^5.74 - t^6. + 6*t^6.26 + 3*t^6.52 + 5*t^6.78 + 3*t^7.04 + 6*t^7.3 + 2*t^7.57 + 3*t^7.83 - 2*t^8.09 + 8*t^8.35 + 3*t^8.61 + 4*t^8.87 - t^4.3/y - t^6.39/y + t^7.17/y + (2*t^7.96)/y + (5*t^8.22)/y + (3*t^8.48)/y + (4*t^8.74)/y - t^4.3*y - t^6.39*y + t^7.17*y + 2*t^7.96*y + 5*t^8.22*y + 3*t^8.48*y + 4*t^8.74*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 |
|---|---|---|---|---|---|---|---|---|
| 6909 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1^2$ + $ M_2M_6$ + $ M_6M_8$ | 0.5599 | 0.7039 | 0.7954 | [X:[1.5652], M:[0.6957, 1.0435, 1.3043, 0.4348, 0.6957, 0.9565, 1.1304, 1.0435], q:[0.3913, 0.913], qb:[0.3043, 0.6522], phi:[0.4348]] | 2*t^2.09 + 3*t^3.13 + 2*t^3.39 + 2*t^3.65 + 3*t^4.17 + t^4.7 + 6*t^5.22 + 3*t^5.48 + 2*t^5.74 - 3*t^6. - t^4.3/y - t^4.3*y | detail | {a: 108993/194672, c: 68515/97336, X1: 36/23, M1: 16/23, M2: 24/23, M3: 30/23, M4: 10/23, M5: 16/23, M6: 22/23, M7: 26/23, M8: 24/23, q1: 9/23, q2: 21/23, qb1: 7/23, qb2: 15/23, phi1: 10/23} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3855 | 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_1M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1^2$ | 0.6362 | 0.7875 | 0.8079 | [X:[1.6136], M:[0.8409, 0.7046, 1.1591, 0.3864, 0.8409, 0.7387, 1.2273], q:[0.4034, 0.7557], qb:[0.4375, 0.8579], phi:[0.3864]] | t^2.11 + t^2.22 + 2*t^2.52 + 2*t^3.58 + 2*t^3.68 + t^3.78 + t^4.23 + t^4.33 + t^4.43 + 2*t^4.64 + 2*t^4.74 + t^4.84 + 3*t^5.05 + 2*t^5.69 + 3*t^5.8 + t^5.9 - 2*t^6. - t^4.16/y - t^4.16*y | detail |