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 |
|---|---|---|---|---|---|---|---|---|---|
| 1481 | 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$ + $ M_2\phi_1^2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ | 0.594 | 0.7597 | 0.7818 | [X:[], M:[1.1304, 0.9565, 0.8696, 1.2174, 0.7826], q:[0.3913, 0.4783], qb:[0.7391, 0.3043], phi:[0.5217]] | [X:[], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 115629/194672, c: 73949/97336, M1: 26/23, M2: 22/23, M3: 20/23, M4: 28/23, M5: 18/23, q1: 9/23, q2: 11/23, qb1: 17/23, qb2: 7/23, phi1: 12/23} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $q_1\tilde{q}_2$, $ M_5$, $ M_3$, $ M_2$, $ \phi_1^2$, $ M_1$, $ \phi_1\tilde{q}_2^2$, $ M_4$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ q_1^2\tilde{q}_2^2$, $ \phi_1q_2^2$, $ M_5q_1\tilde{q}_2$, $ M_5^2$, $ M_3q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_3M_5$, $ \phi_1q_1\tilde{q}_1$, $ M_3^2$, $ M_2M_5$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_2$, $ M_2M_3$, $ M_5\phi_1^2$, $ \phi_1q_1\tilde{q}_2^3$, $ M_2^2$, $ M_1M_5$, $ M_3\phi_1^2$, $ M_4q_1\tilde{q}_2$, $ M_5\phi_1\tilde{q}_2^2$, $ \phi_1q_1^2\tilde{q}_2^2$ | $M_5\phi_1q_1\tilde{q}_2$, $ \phi_1q_1^3\tilde{q}_2$, $ M_3\phi_1\tilde{q}_2^2$ | 3 | t^2.09 + t^2.35 + t^2.61 + t^2.87 + t^3.13 + 2*t^3.39 + 2*t^3.65 + 2*t^3.91 + 2*t^4.17 + 2*t^4.43 + 2*t^4.7 + 2*t^4.96 + 3*t^5.22 + 3*t^5.48 + 3*t^5.74 + 3*t^6. + 4*t^6.26 + 5*t^6.52 + 6*t^6.78 + 6*t^7.04 + 6*t^7.3 + 6*t^7.57 + 6*t^7.83 + 5*t^8.09 + 5*t^8.35 + 4*t^8.61 + 4*t^8.87 - t^4.57/y + t^7.43/y + t^7.7/y + (2*t^7.96)/y + (2*t^8.22)/y + (4*t^8.48)/y + (5*t^8.74)/y - t^4.57*y + t^7.43*y + t^7.7*y + 2*t^7.96*y + 2*t^8.22*y + 4*t^8.48*y + 5*t^8.74*y | t^2.09 + t^2.35 + t^2.61 + t^2.87 + t^3.13 + 2*t^3.39 + 2*t^3.65 + 2*t^3.91 + 2*t^4.17 + 2*t^4.43 + 2*t^4.7 + 2*t^4.96 + 3*t^5.22 + 3*t^5.48 + 3*t^5.74 + 3*t^6. + 4*t^6.26 + 5*t^6.52 + 6*t^6.78 + 6*t^7.04 + 6*t^7.3 + 6*t^7.57 + 6*t^7.83 + 5*t^8.09 + 5*t^8.35 + 4*t^8.61 + 4*t^8.87 - t^4.57/y + t^7.43/y + t^7.7/y + (2*t^7.96)/y + (2*t^8.22)/y + (4*t^8.48)/y + (5*t^8.74)/y - t^4.57*y + t^7.43*y + t^7.7*y + 2*t^7.96*y + 2*t^8.22*y + 4*t^8.48*y + 5*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 |
|---|---|---|---|---|---|---|---|---|
| 2573 | $M_1q_1q_2$ + $ 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$ + $ M_2\phi_1^2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ + $ M_1M_6$ | 0.6056 | 0.7795 | 0.7769 | [X:[], M:[1.1304, 0.9565, 0.8696, 1.2174, 0.7826, 0.8696], q:[0.3913, 0.4783], qb:[0.7391, 0.3043], phi:[0.5217]] | t^2.09 + t^2.35 + 2*t^2.61 + t^2.87 + t^3.13 + t^3.39 + 2*t^3.65 + 2*t^3.91 + 2*t^4.17 + 2*t^4.43 + 3*t^4.7 + 3*t^4.96 + 5*t^5.22 + 3*t^5.48 + 3*t^5.74 + 3*t^6. - t^4.57/y - t^4.57*y | detail | {a: 7368/12167, c: 9484/12167, M1: 26/23, M2: 22/23, M3: 20/23, M4: 28/23, M5: 18/23, M6: 20/23, q1: 9/23, q2: 11/23, qb1: 17/23, qb2: 7/23, phi1: 12/23} |
| 2572 | $M_1q_1q_2$ + $ 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$ + $ M_2\phi_1^2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ + $ M_2M_6$ | 0.5899 | 0.753 | 0.7835 | [X:[], M:[1.1304, 0.9565, 0.8696, 1.2174, 0.7826, 1.0435], q:[0.3913, 0.4783], qb:[0.7391, 0.3043], phi:[0.5217]] | t^2.09 + t^2.35 + t^2.61 + 2*t^3.13 + 2*t^3.39 + 2*t^3.65 + 2*t^3.91 + 2*t^4.17 + 2*t^4.43 + 2*t^4.7 + t^4.96 + 3*t^5.22 + 3*t^5.48 + 3*t^5.74 + 2*t^6. - t^4.57/y - t^4.57*y | detail | {a: 14355/24334, c: 36645/48668, M1: 26/23, M2: 22/23, M3: 20/23, M4: 28/23, M5: 18/23, M6: 24/23, q1: 9/23, q2: 11/23, qb1: 17/23, qb2: 7/23, phi1: 12/23} |
| 2569 | $M_1q_1q_2$ + $ 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$ + $ M_2\phi_1^2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ + $ M_3M_6$ | 0.5824 | 0.74 | 0.787 | [X:[], M:[1.1304, 0.9565, 0.8696, 1.2174, 0.7826, 1.1304], q:[0.3913, 0.4783], qb:[0.7391, 0.3043], phi:[0.5217]] | t^2.09 + t^2.35 + t^2.87 + t^3.13 + 3*t^3.39 + 2*t^3.65 + 2*t^3.91 + 2*t^4.17 + 2*t^4.43 + t^4.7 + t^4.96 + 2*t^5.22 + 3*t^5.48 + 3*t^5.74 + t^6. - t^4.57/y - t^4.57*y | detail | {a: 56685/97336, c: 36013/48668, M1: 26/23, M2: 22/23, M3: 20/23, M4: 28/23, M5: 18/23, M6: 26/23, q1: 9/23, q2: 11/23, qb1: 17/23, qb2: 7/23, phi1: 12/23} |
| 2574 | $M_1q_1q_2$ + $ 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$ + $ M_2\phi_1^2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ + $ M_4M_6$ | 0.6115 | 0.7908 | 0.7732 | [X:[], M:[1.1304, 0.9565, 0.8696, 1.2174, 0.7826, 0.7826], q:[0.3913, 0.4783], qb:[0.7391, 0.3043], phi:[0.5217]] | t^2.09 + 2*t^2.35 + t^2.61 + t^2.87 + t^3.13 + 2*t^3.39 + t^3.65 + 2*t^3.91 + 2*t^4.17 + 3*t^4.43 + 4*t^4.7 + 3*t^4.96 + 4*t^5.22 + 4*t^5.48 + 4*t^5.74 + 3*t^6. - t^4.57/y - t^4.57*y | detail | {a: 59517/97336, c: 38487/48668, M1: 26/23, M2: 22/23, M3: 20/23, M4: 28/23, M5: 18/23, M6: 18/23, q1: 9/23, q2: 11/23, qb1: 17/23, qb2: 7/23, phi1: 12/23} |
| 2571 | $M_1q_1q_2$ + $ 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$ + $ M_2\phi_1^2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1^2$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6146 | 0.7994 | 0.7688 | [X:[], M:[1.1304, 0.9565, 0.8696, 1.2174, 0.7826, 0.6957], q:[0.3913, 0.4783], qb:[0.7391, 0.3043], phi:[0.5217]] | 2*t^2.09 + t^2.35 + t^2.61 + t^2.87 + t^3.13 + 2*t^3.39 + 2*t^3.65 + t^3.91 + 4*t^4.17 + 3*t^4.43 + 3*t^4.7 + 3*t^4.96 + 4*t^5.22 + 5*t^5.48 + 5*t^5.74 + 3*t^6. - t^4.57/y - t^4.57*y | detail | {a: 14955/24334, c: 38903/48668, M1: 26/23, M2: 22/23, M3: 20/23, M4: 28/23, M5: 18/23, M6: 16/23, q1: 9/23, q2: 11/23, qb1: 17/23, qb2: 7/23, phi1: 12/23} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 958 | 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$ + $ M_2\phi_1^2$ + $ M_1M_3$ | 0.6916 | 0.8474 | 0.8161 | [X:[], M:[0.9938, 1.0021, 1.0062, 0.9897, 1.0103], q:[0.5051, 0.501], qb:[0.4887, 0.5092], phi:[0.499]] | t^2.97 + t^2.98 + t^2.99 + t^3.01 + t^3.02 + t^3.03 + t^3.04 + t^4.43 + t^4.47 + t^4.48 + t^4.49 + t^4.5 + t^4.52 + 2*t^4.53 + t^4.54 + t^4.55 + t^5.96 + t^5.98 + t^5.99 - t^6. - t^4.5/y - t^4.5*y | detail |