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 |
|---|---|---|---|---|---|---|---|---|---|
| 5458 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_4M_6$ + $ M_7q_2\tilde{q}_2$ + $ M_3M_7$ | 0.5881 | 0.7223 | 0.8141 | [X:[1.3333], M:[0.6667, 1.1111, 0.8148, 1.037, 0.963, 0.963, 1.1852], q:[0.7778, 0.5556], qb:[0.6296, 0.2593], phi:[0.4444]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 10289/17496, c: 6319/8748, X1: 4/3, M1: 2/3, M2: 10/9, M3: 22/27, M4: 28/27, M5: 26/27, M6: 26/27, M7: 32/27, q1: 7/9, q2: 5/9, qb1: 17/27, qb2: 7/27, phi1: 4/9} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ \phi_1^2$, $ M_5$, $ M_6$, $ M_2$, $ M_7$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ X_1$, $ q_1\tilde{q}_1$, $ \phi_1q_2^2$, $ M_3^2$, $ \phi_1q_2\tilde{q}_1$, $ M_3\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_3M_5$, $ M_3M_6$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_2M_3$, $ M_5^2$, $ M_5M_6$, $ M_6^2$ | . | -1 | t^2.44 + t^2.67 + 2*t^2.89 + t^3.33 + t^3.56 + t^3.78 + 2*t^4. + t^4.22 + t^4.67 + t^4.89 + t^5.11 + 3*t^5.33 + 2*t^5.56 + 2*t^5.78 - t^6. + t^6.22 + 2*t^6.44 + 3*t^6.67 + 3*t^6.89 + t^7.11 + t^7.33 + 3*t^7.56 + 3*t^7.78 + 4*t^8. + 5*t^8.22 + t^8.44 + t^8.67 - 3*t^8.89 - t^4.33/y - t^7.22/y + t^7.44/y + t^8.11/y + (2*t^8.33)/y + (2*t^8.56)/y + (2*t^8.78)/y - t^4.33*y - t^7.22*y + t^7.44*y + t^8.11*y + 2*t^8.33*y + 2*t^8.56*y + 2*t^8.78*y | t^2.44 + t^2.67 + 2*t^2.89 + t^3.33 + t^3.56 + t^3.78 + 2*t^4. + t^4.22 + t^4.67 + t^4.89 + t^5.11 + 3*t^5.33 + 2*t^5.56 + 2*t^5.78 - t^6. + t^6.22 + 2*t^6.44 + 3*t^6.67 + 3*t^6.89 + t^7.11 + t^7.33 + 3*t^7.56 + 3*t^7.78 + 4*t^8. + 5*t^8.22 + t^8.44 + t^8.67 - 3*t^8.89 - t^4.33/y - t^7.22/y + t^7.44/y + t^8.11/y + (2*t^8.33)/y + (2*t^8.56)/y + (2*t^8.78)/y - t^4.33*y - t^7.22*y + t^7.44*y + t^8.11*y + 2*t^8.33*y + 2*t^8.56*y + 2*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 |
|---|---|---|---|---|---|---|---|---|
| 6916 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_4M_6$ + $ M_7q_2\tilde{q}_2$ + $ M_3M_7$ + $ M_7M_8$ | 0.6037 | 0.7495 | 0.8054 | [X:[1.3333], M:[0.6667, 1.1111, 0.8148, 1.037, 0.963, 0.963, 1.1852, 0.8148], q:[0.7778, 0.5556], qb:[0.6296, 0.2593], phi:[0.4444]] | 2*t^2.44 + t^2.67 + 2*t^2.89 + t^3.33 + t^3.78 + 2*t^4. + t^4.22 + t^4.67 + 3*t^4.89 + 2*t^5.11 + 5*t^5.33 + 2*t^5.56 + 3*t^5.78 - 2*t^6. - t^4.33/y - t^4.33*y | detail | {a: 2347/3888, c: 1457/1944, X1: 4/3, M1: 2/3, M2: 10/9, M3: 22/27, M4: 28/27, M5: 26/27, M6: 26/27, M7: 32/27, M8: 22/27, q1: 7/9, q2: 5/9, qb1: 17/27, qb2: 7/27, phi1: 4/9} |
| 6917 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_4M_6$ + $ M_7q_2\tilde{q}_2$ + $ M_3M_7$ + $ M_8\phi_1q_2\tilde{q}_2$ | 0.6075 | 0.7579 | 0.8015 | [X:[1.3333], M:[0.6667, 1.1111, 0.8148, 1.037, 0.963, 0.963, 1.1852, 0.7407], q:[0.7778, 0.5556], qb:[0.6296, 0.2593], phi:[0.4444]] | t^2.22 + t^2.44 + t^2.67 + 2*t^2.89 + t^3.33 + t^3.56 + 2*t^4. + t^4.22 + t^4.44 + 2*t^4.67 + 2*t^4.89 + 3*t^5.11 + 3*t^5.33 + 3*t^5.56 + 3*t^5.78 - t^6. - t^4.33/y - t^4.33*y | detail | {a: 21257/34992, c: 13261/17496, X1: 4/3, M1: 2/3, M2: 10/9, M3: 22/27, M4: 28/27, M5: 26/27, M6: 26/27, M7: 32/27, M8: 20/27, q1: 7/9, q2: 5/9, qb1: 17/27, qb2: 7/27, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 3845 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_5q_1\tilde{q}_2$ + $ M_4M_5$ + $ M_1X_1$ + $ M_4M_6$ + $ M_7q_2\tilde{q}_2$ | 0.5943 | 0.7313 | 0.8126 | [X:[1.4327], M:[0.5673, 1.1442, 0.7596, 1.0481, 0.9519, 0.9519, 1.0913], q:[0.7861, 0.6467], qb:[0.5937, 0.262], phi:[0.4279]] | t^2.28 + t^2.57 + 2*t^2.86 + t^3.27 + t^3.43 + t^3.85 + t^4.01 + t^4.14 + t^4.3 + t^4.56 + t^4.85 + 3*t^5.13 + t^5.16 + 2*t^5.42 + t^5.55 + 3*t^5.71 - 2*t^6. - t^4.28/y - t^4.28*y | detail |