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 |
|---|---|---|---|---|---|---|---|---|---|
| 4400 | 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$ + $ M_6M_7$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1\phi_1\tilde{q}_1^2$ | 0.5814 | 0.7418 | 0.7839 | [X:[], M:[0.7826, 1.1304, 0.9565, 0.6957, 1.0435, 1.3043, 0.6957], q:[0.913, 0.3043], qb:[0.3913, 0.6522], phi:[0.4348]] | [X:[], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 113187/194672, c: 72199/97336, M1: 18/23, M2: 26/23, M3: 22/23, M4: 16/23, M5: 24/23, M6: 30/23, M7: 16/23, 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_7$, $ 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_4^2$, $ M_4M_7$, $ M_7^2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_4$, $ M_1M_7$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ q_1\tilde{q}_2$, $ M_3M_4$, $ M_3M_7$, $ \phi_1q_1q_2$, $ M_1M_3$, $ M_4M_5$, $ M_5M_7$, $ M_4\phi_1q_2^2$, $ M_7\phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_2M_4$, $ M_1M_5$, $ M_2M_7$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_7\phi_1q_2\tilde{q}_1$, $ M_1M_2$, $ M_3^2$, $ M_4\phi_1\tilde{q}_1^2$, $ M_7\phi_1\tilde{q}_1^2$ | $M_3\phi_1q_2^2$ | 0 | 2*t^2.09 + t^2.35 + t^2.87 + 2*t^3.13 + 2*t^3.39 + t^3.65 + 3*t^4.17 + 2*t^4.43 + 2*t^4.7 + 2*t^4.96 + 5*t^5.22 + 5*t^5.48 + 3*t^5.74 + 6*t^6.26 + 5*t^6.52 + 5*t^6.78 + 3*t^7.04 + 6*t^7.3 + 7*t^7.57 + 5*t^7.83 + t^8.09 + 7*t^8.35 + 7*t^8.61 + 5*t^8.87 - t^4.3/y - t^6.39/y - t^6.65/y + t^7.17/y + (2*t^7.43)/y + (3*t^7.96)/y + (6*t^8.22)/y + (5*t^8.48)/y + (3*t^8.74)/y - t^4.3*y - t^6.39*y - t^6.65*y + t^7.17*y + 2*t^7.43*y + 3*t^7.96*y + 6*t^8.22*y + 5*t^8.48*y + 3*t^8.74*y | 2*t^2.09 + t^2.35 + t^2.87 + 2*t^3.13 + 2*t^3.39 + t^3.65 + 3*t^4.17 + 2*t^4.43 + 2*t^4.7 + 2*t^4.96 + 5*t^5.22 + 5*t^5.48 + 3*t^5.74 + 6*t^6.26 + 5*t^6.52 + 5*t^6.78 + 3*t^7.04 + 6*t^7.3 + 7*t^7.57 + 5*t^7.83 + t^8.09 + 7*t^8.35 + 7*t^8.61 + 5*t^8.87 - t^4.3/y - t^6.39/y - t^6.65/y + t^7.17/y + (2*t^7.43)/y + (3*t^7.96)/y + (6*t^8.22)/y + (5*t^8.48)/y + (3*t^8.74)/y - t^4.3*y - t^6.39*y - t^6.65*y + t^7.17*y + 2*t^7.43*y + 3*t^7.96*y + 6*t^8.22*y + 5*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 |
|---|---|---|---|---|---|---|---|---|
| 5894 | $M_1q_1q_2$ + $ 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$ + $ M_6M_7$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1\phi_1\tilde{q}_1^2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.5989 | 0.7728 | 0.775 | [X:[], M:[0.7826, 1.1304, 0.9565, 0.6957, 1.0435, 1.3043, 0.6957, 0.7826], q:[0.913, 0.3043], qb:[0.3913, 0.6522], phi:[0.4348]] | 2*t^2.09 + 2*t^2.35 + t^2.87 + 2*t^3.13 + 2*t^3.39 + 3*t^4.17 + 4*t^4.43 + 4*t^4.7 + 2*t^4.96 + 6*t^5.22 + 7*t^5.48 + 3*t^5.74 - t^6. - t^4.3/y - t^4.3*y | detail | {a: 7287/12167, c: 9403/12167, M1: 18/23, M2: 26/23, M3: 22/23, M4: 16/23, M5: 24/23, M6: 30/23, M7: 16/23, M8: 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2385 | 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$ + $ M_6M_7$ + $ \phi_1q_1\tilde{q}_2$ | 0.5909 | 0.7517 | 0.786 | [X:[], M:[0.6939, 1.1466, 1.013, 0.7199, 0.987, 1.2801, 0.7199], q:[0.9332, 0.3729], qb:[0.3469, 0.6401], phi:[0.4267]] | t^2.08 + 2*t^2.16 + t^2.96 + t^3.04 + t^3.36 + 2*t^3.44 + t^3.52 + t^4.16 + 2*t^4.24 + 3*t^4.32 + t^4.72 + t^5.04 + 3*t^5.12 + 2*t^5.2 + t^5.44 + 3*t^5.52 + 4*t^5.6 + 2*t^5.68 - 2*t^6. - t^4.28/y - t^4.28*y | detail |