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 |
|---|---|---|---|---|---|---|---|---|---|
| 4950 | 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_2^2$ + $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ + $ M_1X_1$ | 0.5851 | 0.7286 | 0.803 | [X:[1.4815], M:[0.5185, 1.1111, 1.2593, 1.037, 0.7407, 0.963, 0.8148], q:[0.7037, 0.7778], qb:[0.2593, 0.4815], phi:[0.4444]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 10237/17496, c: 3187/4374, X1: 40/27, M1: 14/27, M2: 10/9, M3: 34/27, M4: 28/27, M5: 20/27, M6: 26/27, M7: 22/27, q1: 19/27, q2: 7/9, qb1: 7/27, qb2: 13/27, phi1: 4/9} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_7$, $ M_6$, $ \phi_1\tilde{q}_1^2$, $ M_4$, $ M_2$, $ q_1\tilde{q}_2$, $ M_3$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ \phi_1q_2\tilde{q}_1$, $ X_1$, $ M_7^2$, $ \phi_1q_1\tilde{q}_2$, $ M_5M_6$, $ M_5\phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_2$, $ M_4M_5$, $ M_6M_7$, $ M_7\phi_1\tilde{q}_1^2$, $ M_2M_5$, $ M_4M_7$, $ \phi_1q_1^2$, $ M_6^2$, $ M_2M_7$, $ \phi_1q_1q_2$, $ M_6\phi_1\tilde{q}_1^2$, $ \phi_1^2\tilde{q}_1^4$, $ M_5q_1\tilde{q}_2$ | $M_4\phi_1\tilde{q}_1^2$ | 0 | t^2.22 + t^2.44 + 2*t^2.89 + t^3.11 + t^3.33 + t^3.56 + t^3.78 + 2*t^4.22 + 2*t^4.44 + 2*t^4.89 + 2*t^5.11 + t^5.33 + 3*t^5.56 + 4*t^5.78 + 2*t^6.22 + 3*t^6.44 + 2*t^6.67 + t^6.89 + 4*t^7.11 + 4*t^7.33 + 5*t^7.78 + 5*t^8. + 3*t^8.44 + 6*t^8.67 - 2*t^8.89 - t^4.33/y - t^6.78/y + t^7.67/y + t^7.89/y + (2*t^8.11)/y + (3*t^8.33)/y + (2*t^8.56)/y + (3*t^8.78)/y - t^4.33*y - t^6.78*y + t^7.67*y + t^7.89*y + 2*t^8.11*y + 3*t^8.33*y + 2*t^8.56*y + 3*t^8.78*y | t^2.22 + t^2.44 + 2*t^2.89 + t^3.11 + t^3.33 + t^3.56 + t^3.78 + 2*t^4.22 + 2*t^4.44 + 2*t^4.89 + 2*t^5.11 + t^5.33 + 3*t^5.56 + 4*t^5.78 + 2*t^6.22 + 3*t^6.44 + 2*t^6.67 + t^6.89 + 4*t^7.11 + 4*t^7.33 + 5*t^7.78 + 5*t^8. + 3*t^8.44 + 6*t^8.67 - 2*t^8.89 - t^4.33/y - t^6.78/y + t^7.67/y + t^7.89/y + (2*t^8.11)/y + (3*t^8.33)/y + (2*t^8.56)/y + (3*t^8.78)/y - t^4.33*y - t^6.78*y + t^7.67*y + t^7.89*y + 2*t^8.11*y + 3*t^8.33*y + 2*t^8.56*y + 3*t^8.78*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 |
|---|---|---|---|---|---|---|---|---|
| 6536 | $M_1q_1q_2$ + $ 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_2^2$ + $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ + $ M_1X_1$ + $ M_4M_8$ | 0.5886 | 0.7344 | 0.8014 | [X:[1.4815], M:[0.5185, 1.1111, 1.2593, 1.037, 0.7407, 0.963, 0.8148, 0.963], q:[0.7037, 0.7778], qb:[0.2593, 0.4815], phi:[0.4444]] | t^2.22 + t^2.44 + 3*t^2.89 + t^3.33 + t^3.56 + t^3.78 + 2*t^4.22 + 2*t^4.44 + 2*t^4.89 + 3*t^5.11 + t^5.33 + 2*t^5.56 + 7*t^5.78 - 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 6865/11664, c: 4283/5832, X1: 40/27, M1: 14/27, M2: 10/9, M3: 34/27, M4: 28/27, M5: 20/27, M6: 26/27, M7: 22/27, M8: 26/27, q1: 19/27, q2: 7/9, qb1: 7/27, qb2: 13/27, phi1: 4/9} |
| 6537 | $M_1q_1q_2$ + $ 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_2^2$ + $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_7q_1\tilde{q}_2$ + $ M_1X_1$ + $ M_8q_1\tilde{q}_2$ | 0.6007 | 0.7558 | 0.7948 | [X:[1.4815], M:[0.5185, 1.1111, 1.2593, 1.037, 0.7407, 0.963, 0.8148, 0.8148], q:[0.7037, 0.7778], qb:[0.2593, 0.4815], phi:[0.4444]] | t^2.22 + 2*t^2.44 + 2*t^2.89 + t^3.11 + t^3.33 + t^3.78 + 2*t^4.22 + 2*t^4.44 + t^4.67 + 4*t^4.89 + 2*t^5.11 + 3*t^5.33 + 4*t^5.56 + 4*t^5.78 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 21019/34992, c: 13223/17496, X1: 40/27, M1: 14/27, M2: 10/9, M3: 34/27, M4: 28/27, M5: 20/27, M6: 26/27, M7: 22/27, M8: 22/27, q1: 19/27, q2: 7/9, qb1: 7/27, qb2: 13/27, phi1: 4/9} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3083 | 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_2^2$ + $ M_7\phi_1\tilde{q}_1\tilde{q}_2$ | 0.672 | 0.8561 | 0.785 | [X:[], M:[0.7561, 1.0273, 1.1894, 1.1348, 0.8106, 0.8652, 0.703], q:[0.4871, 0.7568], qb:[0.378, 0.4326], phi:[0.4864]] | t^2.11 + t^2.27 + t^2.43 + t^2.6 + t^2.76 + t^3.08 + t^3.4 + t^3.57 + t^3.73 + 2*t^4.05 + 2*t^4.22 + 2*t^4.38 + 2*t^4.54 + 2*t^4.7 + 2*t^4.86 + t^4.87 + 2*t^5.03 + 3*t^5.19 + 2*t^5.35 + 2*t^5.51 + t^5.52 + 2*t^5.68 + 2*t^5.84 - t^4.46/y - t^4.46*y | detail |