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 |
|---|---|---|---|---|---|---|---|---|---|
| 2993 | 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_1M_3$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ | 0.5724 | 0.7219 | 0.793 | [X:[], M:[0.9565, 0.7826, 1.0435, 0.6957, 1.3043], q:[0.6522, 0.3913], qb:[0.3043, 0.913], phi:[0.4348]] | [X:[], M:[[0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 4845/8464, c: 3055/4232, M1: 22/23, M2: 18/23, M3: 24/23, M4: 16/23, M5: 30/23, q1: 15/23, q2: 9/23, qb1: 7/23, qb2: 21/23, phi1: 10/23} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_2$, $ \phi_1^2$, $ M_1$, $ M_3$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2^2$, $ M_5$, $ M_4^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_4$, $ \phi_1q_1q_2$, $ M_2^2$, $ M_4\phi_1^2$, $ q_1\tilde{q}_2$, $ M_1M_4$, $ M_2\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_2$, $ M_3M_4$, $ \phi_1^4$, $ \phi_1q_1^2$, $ M_4\phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_3$, $ M_1\phi_1^2$, $ M_4\phi_1q_2\tilde{q}_1$, $ M_1^2$, $ M_3\phi_1^2$, $ M_4\phi_1q_2^2$, $ \phi_1^3\tilde{q}_1^2$ | $\phi_1^3q_2\tilde{q}_1$, $ M_1\phi_1\tilde{q}_1^2$ | 2 | t^2.09 + t^2.35 + t^2.61 + t^2.87 + 2*t^3.13 + t^3.39 + t^3.65 + t^3.91 + t^4.17 + t^4.43 + 3*t^4.7 + 2*t^4.96 + 4*t^5.22 + 3*t^5.48 + 3*t^5.74 + 2*t^6. + 4*t^6.26 + 2*t^6.52 + 3*t^6.78 + 3*t^7.04 + 5*t^7.3 + 4*t^7.57 + 6*t^7.83 + 3*t^8.09 + 4*t^8.35 + 3*t^8.61 + 2*t^8.87 - t^4.3/y - t^6.65/y - t^6.91/y + t^7.43/y + (2*t^7.7)/y + (3*t^7.96)/y + (3*t^8.22)/y + (4*t^8.48)/y + (4*t^8.74)/y - t^4.3*y - t^6.65*y - t^6.91*y + t^7.43*y + 2*t^7.7*y + 3*t^7.96*y + 3*t^8.22*y + 4*t^8.48*y + 4*t^8.74*y | t^2.09 + t^2.35 + t^2.61 + t^2.87 + 2*t^3.13 + t^3.39 + t^3.65 + t^3.91 + t^4.17 + t^4.43 + 3*t^4.7 + 2*t^4.96 + 4*t^5.22 + 3*t^5.48 + 3*t^5.74 + 2*t^6. + 4*t^6.26 + 2*t^6.52 + 3*t^6.78 + 3*t^7.04 + 5*t^7.3 + 4*t^7.57 + 6*t^7.83 + 3*t^8.09 + 4*t^8.35 + 3*t^8.61 + 2*t^8.87 - t^4.3/y - t^6.65/y - t^6.91/y + t^7.43/y + (2*t^7.7)/y + (3*t^7.96)/y + (3*t^8.22)/y + (4*t^8.48)/y + (4*t^8.74)/y - t^4.3*y - t^6.65*y - t^6.91*y + t^7.43*y + 2*t^7.7*y + 3*t^7.96*y + 3*t^8.22*y + 4*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 |
|---|---|---|---|---|---|---|---|---|
| 3616 | $M_1q_1q_2$ + $ 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_1M_3$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_1M_6$ | 0.5684 | 0.7151 | 0.7948 | [X:[], M:[0.9565, 0.7826, 1.0435, 0.6957, 1.3043, 1.0435], q:[0.6522, 0.3913], qb:[0.3043, 0.913], phi:[0.4348]] | t^2.09 + t^2.35 + t^2.61 + 3*t^3.13 + t^3.39 + t^3.65 + t^3.91 + t^4.17 + t^4.43 + 3*t^4.7 + t^4.96 + 4*t^5.22 + 3*t^5.48 + 3*t^5.74 - t^4.3/y - t^4.3*y | detail | {a: 55323/97336, c: 34803/48668, M1: 22/23, M2: 18/23, M3: 24/23, M4: 16/23, M5: 30/23, M6: 24/23, q1: 15/23, q2: 9/23, qb1: 7/23, qb2: 21/23, phi1: 10/23} |
| 3613 | $M_1q_1q_2$ + $ 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_1M_3$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_2M_6$ | 0.5549 | 0.6908 | 0.8033 | [X:[], M:[0.9565, 0.7826, 1.0435, 0.6957, 1.3043, 1.2174], q:[0.6522, 0.3913], qb:[0.3043, 0.913], phi:[0.4348]] | t^2.09 + t^2.61 + t^2.87 + 2*t^3.13 + t^3.39 + 2*t^3.65 + t^3.91 + t^4.17 + 2*t^4.7 + t^4.96 + 3*t^5.22 + t^5.48 + 3*t^5.74 + t^6. - t^4.3/y - t^4.3*y | detail | {a: 54015/97336, c: 8405/12167, M1: 22/23, M2: 18/23, M3: 24/23, M4: 16/23, M5: 30/23, M6: 28/23, q1: 15/23, q2: 9/23, qb1: 7/23, qb2: 21/23, phi1: 10/23} |
| 3614 | $M_1q_1q_2$ + $ 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_1M_3$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_6\phi_1q_2\tilde{q}_1$ | 0.584 | 0.7416 | 0.7875 | [X:[], M:[0.9565, 0.7826, 1.0435, 0.6957, 1.3043, 0.8696], q:[0.6522, 0.3913], qb:[0.3043, 0.913], phi:[0.4348]] | t^2.09 + t^2.35 + 2*t^2.61 + t^2.87 + 2*t^3.13 + t^3.65 + t^3.91 + t^4.17 + t^4.43 + 4*t^4.7 + 3*t^4.96 + 6*t^5.22 + 3*t^5.48 + 4*t^5.74 + t^6. - t^4.3/y - t^4.3*y | detail | {a: 56847/97336, c: 18047/24334, M1: 22/23, M2: 18/23, M3: 24/23, M4: 16/23, M5: 30/23, M6: 20/23, q1: 15/23, q2: 9/23, qb1: 7/23, qb2: 21/23, phi1: 10/23} |
| 3615 | $M_1q_1q_2$ + $ 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_1M_3$ + $ \phi_1q_1\tilde{q}_2$ + $ M_2\phi_1q_2^2$ + $ M_6\phi_1q_2^2$ | 0.5899 | 0.753 | 0.7835 | [X:[], M:[0.9565, 0.7826, 1.0435, 0.6957, 1.3043, 0.7826], q:[0.6522, 0.3913], qb:[0.3043, 0.913], phi:[0.4348]] | t^2.09 + 2*t^2.35 + t^2.61 + t^2.87 + 2*t^3.13 + t^3.39 + t^3.91 + t^4.17 + 2*t^4.43 + 5*t^4.7 + 3*t^4.96 + 5*t^5.22 + 5*t^5.48 + 3*t^5.74 + t^6. - t^4.3/y - t^4.3*y | detail | {a: 14355/24334, c: 36645/48668, M1: 22/23, M2: 18/23, M3: 24/23, M4: 16/23, M5: 30/23, M6: 18/23, q1: 15/23, q2: 9/23, qb1: 7/23, qb2: 21/23, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1949 | 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_1M_3$ + $ \phi_1q_1\tilde{q}_2$ | 0.5838 | 0.7365 | 0.7926 | [X:[], M:[1.0186, 0.685, 0.9814, 0.7223, 1.2777], q:[0.6389, 0.3425], qb:[0.3798, 0.9352], phi:[0.4259]] | t^2.05 + t^2.17 + t^2.56 + t^2.94 + t^3.06 + t^3.33 + t^3.44 + t^3.56 + t^3.83 + t^4.11 + t^4.22 + t^4.33 + t^4.61 + 2*t^4.72 + t^5. + 3*t^5.11 + t^5.22 + t^5.39 + 2*t^5.5 + 2*t^5.61 + t^5.72 + 2*t^5.89 - t^4.28/y - t^4.28*y | detail |