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 |
|---|---|---|---|---|---|---|---|---|---|
| 3077 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1\phi_1\tilde{q}_1^2$ | 0.5608 | 0.7021 | 0.7987 | [X:[], M:[0.7826, 1.1304, 0.9565, 0.6957, 1.0435, 1.3043], q:[0.913, 0.3043], qb:[0.3913, 0.6522], phi:[0.4348]] | [X:[], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 13647/24334, c: 34171/48668, M1: 18/23, M2: 26/23, M3: 22/23, M4: 16/23, M5: 24/23, M6: 30/23, q1: 21/23, q2: 7/23, qb1: 9/23, qb2: 15/23, phi1: 10/23} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_1$, $ M_3$, $ M_5$, $ \phi_1q_2^2$, $ M_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_6$, $ M_4^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ q_1\tilde{q}_2$, $ M_3M_4$, $ \phi_1q_1q_2$, $ M_1M_3$, $ M_4M_5$, $ M_4\phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_2M_4$, $ M_1M_5$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_1M_2$, $ M_3^2$, $ M_4\phi_1\tilde{q}_1^2$ | $M_3\phi_1q_2^2$ | 1 | t^2.09 + t^2.35 + t^2.87 + 2*t^3.13 + 2*t^3.39 + t^3.65 + t^3.91 + t^4.17 + t^4.43 + 2*t^4.7 + t^4.96 + 3*t^5.22 + 3*t^5.48 + 2*t^5.74 + t^6. + 4*t^6.26 + 3*t^6.52 + 4*t^6.78 + 3*t^7.04 + 3*t^7.3 + 3*t^7.57 + 3*t^7.83 + 2*t^8.09 + 2*t^8.35 + 4*t^8.61 + t^8.87 - t^4.3/y - t^6.65/y + t^7.43/y + (2*t^7.96)/y + (3*t^8.22)/y + (4*t^8.48)/y + (3*t^8.74)/y - t^4.3*y - t^6.65*y + t^7.43*y + 2*t^7.96*y + 3*t^8.22*y + 4*t^8.48*y + 3*t^8.74*y | t^2.09 + t^2.35 + t^2.87 + 2*t^3.13 + 2*t^3.39 + t^3.65 + t^3.91 + t^4.17 + t^4.43 + 2*t^4.7 + t^4.96 + 3*t^5.22 + 3*t^5.48 + 2*t^5.74 + t^6. + 4*t^6.26 + 3*t^6.52 + 4*t^6.78 + 3*t^7.04 + 3*t^7.3 + 3*t^7.57 + 3*t^7.83 + 2*t^8.09 + 2*t^8.35 + 4*t^8.61 + t^8.87 - t^4.3/y - t^6.65/y + t^7.43/y + (2*t^7.96)/y + (3*t^8.22)/y + (4*t^8.48)/y + (3*t^8.74)/y - t^4.3*y - t^6.65*y + t^7.43*y + 2*t^7.96*y + 3*t^8.22*y + 4*t^8.48*y + 3*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 |
|---|---|---|---|---|---|---|---|---|
| 4922 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_1M_7$ | 0.5433 | 0.671 | 0.8097 | [X:[], M:[0.7826, 1.1304, 0.9565, 0.6957, 1.0435, 1.3043, 1.2174], q:[0.913, 0.3043], qb:[0.3913, 0.6522], phi:[0.4348]] | t^2.09 + t^2.87 + 2*t^3.13 + 2*t^3.39 + 2*t^3.65 + t^3.91 + t^4.17 + t^4.7 + t^4.96 + 2*t^5.22 + t^5.48 + t^5.74 - t^4.3/y - t^4.3*y | detail | {a: 105771/194672, c: 65317/97336, M1: 18/23, M2: 26/23, M3: 22/23, M4: 16/23, M5: 24/23, M6: 30/23, M7: 28/23, q1: 21/23, q2: 7/23, qb1: 9/23, qb2: 15/23, phi1: 10/23} |
| 4923 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_3M_7$ | 0.5568 | 0.6954 | 0.8007 | [X:[], M:[0.7826, 1.1304, 0.9565, 0.6957, 1.0435, 1.3043, 1.0435], q:[0.913, 0.3043], qb:[0.3913, 0.6522], phi:[0.4348]] | t^2.09 + t^2.35 + 3*t^3.13 + 2*t^3.39 + t^3.65 + t^3.91 + t^4.17 + t^4.43 + 2*t^4.7 + 3*t^5.22 + 4*t^5.48 + t^5.74 - t^6. - t^4.3/y - t^4.3*y | detail | {a: 108387/194672, c: 67683/97336, M1: 18/23, M2: 26/23, M3: 22/23, M4: 16/23, M5: 24/23, M6: 30/23, M7: 24/23, q1: 21/23, q2: 7/23, qb1: 9/23, qb2: 15/23, phi1: 10/23} |
| 4924 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_7\phi_1\tilde{q}_1^2$ | 0.5783 | 0.7332 | 0.7887 | [X:[], M:[0.7826, 1.1304, 0.9565, 0.6957, 1.0435, 1.3043, 0.7826], q:[0.913, 0.3043], qb:[0.3913, 0.6522], phi:[0.4348]] | t^2.09 + 2*t^2.35 + t^2.87 + 2*t^3.13 + 2*t^3.39 + t^3.91 + t^4.17 + 2*t^4.43 + 4*t^4.7 + t^4.96 + 4*t^5.22 + 5*t^5.48 + 3*t^5.74 - t^4.3/y - t^4.3*y | detail | {a: 112581/194672, c: 71367/97336, M1: 18/23, M2: 26/23, M3: 22/23, M4: 16/23, M5: 24/23, M6: 30/23, M7: 18/23, q1: 21/23, q2: 7/23, qb1: 9/23, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2021 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ \phi_1q_1\tilde{q}_2$ | 0.5708 | 0.7142 | 0.7992 | [X:[], M:[0.6907, 1.1471, 1.015, 0.7207, 0.985, 1.2793], q:[0.9339, 0.3754], qb:[0.3454, 0.6396], phi:[0.4264]] | t^2.07 + t^2.16 + t^2.96 + t^3.04 + t^3.35 + 2*t^3.44 + t^3.53 + t^3.84 + t^4.14 + t^4.23 + t^4.32 + t^4.72 + t^5.03 + 2*t^5.12 + t^5.21 + t^5.42 + 2*t^5.51 + 2*t^5.6 + t^5.69 + t^5.91 - t^6. - t^4.28/y - t^4.28*y | detail |