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 |
|---|---|---|---|---|---|---|---|---|---|
| 4255 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_6\phi_1q_2^2$ + $ M_2M_7$ + $ M_5M_6$ | 0.5849 | 0.7208 | 0.8115 | [X:[1.3043], M:[1.2174, 1.0435, 0.7826, 0.6957, 0.9565, 1.0435, 0.9565], q:[0.7826, 0.2609], qb:[0.5217, 0.6957], phi:[0.4348]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 56931/97336, c: 17539/24334, X1: 30/23, M1: 28/23, M2: 24/23, M3: 18/23, M4: 16/23, M5: 22/23, M6: 24/23, M7: 22/23, q1: 18/23, q2: 6/23, qb1: 12/23, qb2: 16/23, phi1: 10/23} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ \phi_1^2$, $ M_5$, $ M_7$, $ M_6$, $ M_1$, $ \phi_1q_2\tilde{q}_1$, $ X_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ M_3\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3M_5$, $ M_3M_7$, $ \phi_1^4$, $ M_3M_6$, $ M_5\phi_1^2$, $ M_7\phi_1^2$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ M_5M_7$, $ M_7^2$, $ M_6\phi_1^2$ | $M_6M_7$, $ M_3\phi_1q_2\tilde{q}_1$ | 0 | t^2.35 + t^2.61 + 2*t^2.87 + t^3.13 + 2*t^3.65 + t^3.91 + t^4.17 + 2*t^4.43 + 2*t^4.96 + 2*t^5.22 + 3*t^5.48 + 3*t^5.74 + 2*t^6.26 + 2*t^6.52 + 2*t^6.78 + 3*t^7.04 + 3*t^7.3 + 2*t^7.57 + 3*t^7.83 + 6*t^8.09 + 3*t^8.35 + 2*t^8.61 - t^4.3/y - t^6.91/y + t^7.7/y + t^7.96/y + (2*t^8.22)/y + (3*t^8.48)/y + (2*t^8.74)/y - t^4.3*y - t^6.91*y + t^7.7*y + t^7.96*y + 2*t^8.22*y + 3*t^8.48*y + 2*t^8.74*y | t^2.35 + t^2.61 + 2*t^2.87 + t^3.13 + 2*t^3.65 + t^3.91 + t^4.17 + 2*t^4.43 + 2*t^4.96 + 2*t^5.22 + 3*t^5.48 + 3*t^5.74 + 2*t^6.26 + 2*t^6.52 + 2*t^6.78 + 3*t^7.04 + 3*t^7.3 + 2*t^7.57 + 3*t^7.83 + 6*t^8.09 + 3*t^8.35 + 2*t^8.61 - t^4.3/y - t^6.91/y + t^7.7/y + t^7.96/y + (2*t^8.22)/y + (3*t^8.48)/y + (2*t^8.74)/y - t^4.3*y - t^6.91*y + t^7.7*y + t^7.96*y + 2*t^8.22*y + 3*t^8.48*y + 2*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 |
|---|---|---|---|---|---|---|---|---|
| 5736 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_6\phi_1q_2^2$ + $ M_2M_7$ + $ M_5M_6$ + $ M_1M_8$ | 0.6024 | 0.7518 | 0.8012 | [X:[1.3043], M:[1.2174, 1.0435, 0.7826, 0.6957, 0.9565, 1.0435, 0.9565, 0.7826], q:[0.7826, 0.2609], qb:[0.5217, 0.6957], phi:[0.4348]] | 2*t^2.35 + t^2.61 + 2*t^2.87 + t^3.13 + t^3.65 + t^3.91 + t^4.17 + 2*t^4.43 + 2*t^4.7 + 3*t^4.96 + 4*t^5.22 + 4*t^5.48 + 3*t^5.74 - t^4.3/y - t^4.3*y | detail | {a: 117267/194672, c: 73181/97336, X1: 30/23, M1: 28/23, M2: 24/23, M3: 18/23, M4: 16/23, M5: 22/23, M6: 24/23, M7: 22/23, M8: 18/23, q1: 18/23, q2: 6/23, qb1: 12/23, qb2: 16/23, phi1: 10/23} |
| 5735 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_6\phi_1q_2^2$ + $ M_2M_7$ + $ M_5M_6$ + $ M_6M_8$ | 0.5889 | 0.7275 | 0.8095 | [X:[1.3043], M:[1.2174, 1.0435, 0.7826, 0.6957, 0.9565, 1.0435, 0.9565, 0.9565], q:[0.7826, 0.2609], qb:[0.5217, 0.6957], phi:[0.4348]] | t^2.35 + t^2.61 + 3*t^2.87 + 2*t^3.65 + t^3.91 + t^4.17 + 2*t^4.43 + 2*t^4.96 + 3*t^5.22 + 3*t^5.48 + 5*t^5.74 - 2*t^6. - t^4.3/y - t^4.3*y | detail | {a: 114651/194672, c: 70815/97336, X1: 30/23, M1: 28/23, M2: 24/23, M3: 18/23, M4: 16/23, M5: 22/23, M6: 24/23, M7: 22/23, M8: 22/23, q1: 18/23, q2: 6/23, qb1: 12/23, qb2: 16/23, phi1: 10/23} |
| 5737 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_6\phi_1q_2^2$ + $ M_2M_7$ + $ M_5M_6$ + $ M_8X_1$ | 0.6055 | 0.7604 | 0.7963 | [X:[1.3043], M:[1.2174, 1.0435, 0.7826, 0.6957, 0.9565, 1.0435, 0.9565, 0.6957], q:[0.7826, 0.2609], qb:[0.5217, 0.6957], phi:[0.4348]] | t^2.09 + t^2.35 + t^2.61 + 2*t^2.87 + t^3.13 + 2*t^3.65 + 2*t^4.17 + 3*t^4.43 + t^4.7 + 4*t^4.96 + 3*t^5.22 + 3*t^5.48 + 5*t^5.74 - t^4.3/y - t^4.3*y | detail | {a: 117873/194672, c: 74013/97336, X1: 30/23, M1: 28/23, M2: 24/23, M3: 18/23, M4: 16/23, M5: 22/23, M6: 24/23, M7: 22/23, M8: 16/23, q1: 18/23, q2: 6/23, qb1: 12/23, qb2: 16/23, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2255 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_1M_3$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_1q_2$ + $ M_2M_5$ + $ M_4X_1$ + $ M_6\phi_1q_2^2$ + $ M_2M_7$ | 0.6786 | 0.8465 | 0.8017 | [X:[1.3592], M:[1.0164, 1.1714, 0.9836, 0.6408, 0.8286, 0.7511, 0.8286], q:[0.7735, 0.3979], qb:[0.5857, 0.4307], phi:[0.4531]] | t^2.25 + 2*t^2.49 + t^2.72 + t^2.95 + t^3.05 + t^3.61 + t^3.84 + t^3.94 + t^4.08 + t^4.31 + t^4.41 + t^4.51 + 2*t^4.74 + t^4.87 + 4*t^4.97 + 3*t^5.2 + t^5.3 + 2*t^5.44 + t^5.53 + t^5.67 + t^5.77 + t^5.87 - 2*t^6. - t^4.36/y - t^4.36*y | detail |