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 |
|---|---|---|---|---|---|---|---|---|---|
| 3830 | 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_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4M_6$ + $ M_3X_2$ | 0.4742 | 0.5764 | 0.8226 | [X:[1.8182, 1.4545], M:[0.1818, 1.2727, 0.5455, 1.0909, 0.9091, 0.9091], q:[0.8182, 1.0], qb:[0.4545, 0.2727], phi:[0.3636]] | [X:[[0], [0]], M:[[0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 459/968, c: 279/484, X1: 20/11, X2: 16/11, M1: 2/11, M2: 14/11, M3: 6/11, M4: 12/11, M5: 10/11, M6: 10/11, q1: 9/11, q2: 1, qb1: 5/11, qb2: 3/11, phi1: 4/11} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ M_5$, $ M_6$, $ M_4$, $ M_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2\tilde{q}_2$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ X_2$, $ M_5\phi_1^2$, $ M_6\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ X_1$ | $M_1^2q_1^2$, $ \phi_1^2q_1\tilde{q}_1$, $ \phi_1^3\tilde{q}_1^2$, $ \phi_1^2q_2\tilde{q}_2$ | 2 | t^2.18 + 2*t^2.73 + t^3.27 + 3*t^3.82 + t^4.36 + 2*t^4.91 + 2*t^5.45 + 2*t^6. + 3*t^6.55 + t^7.09 + 5*t^7.64 - t^8.73 - t^4.09/y - t^6.82/y + t^7.36/y + (2*t^7.91)/y + (2*t^8.45)/y - t^4.09*y - t^6.82*y + t^7.36*y + 2*t^7.91*y + 2*t^8.45*y | t^2.18 + 2*t^2.73 + t^3.27 + 3*t^3.82 + t^4.36 + 2*t^4.91 + 2*t^5.45 + 2*t^6. + 3*t^6.55 + t^7.09 + 5*t^7.64 - t^8.73 - t^4.09/y - t^6.82/y + t^7.36/y + (2*t^7.91)/y + (2*t^8.45)/y - t^4.09*y - t^6.82*y + t^7.36*y + 2*t^7.91*y + 2*t^8.45*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 |
|---|---|---|---|---|---|---|---|---|
| 5434 | $M_1q_1q_2$ + $ 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_6\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_4M_6$ + $ M_3X_2$ + $ M_4M_7$ | 0.4825 | 0.5904 | 0.8172 | [X:[1.8182, 1.4545], M:[0.1818, 1.2727, 0.5455, 1.0909, 0.9091, 0.9091, 0.9091], q:[0.8182, 1.0], qb:[0.4545, 0.2727], phi:[0.3636]] | t^2.18 + 3*t^2.73 + 3*t^3.82 + t^4.36 + 3*t^4.91 + 4*t^5.45 - t^4.09/y - t^4.09*y | detail | {a: 10275/21296, c: 6287/10648, X1: 20/11, X2: 16/11, M1: 2/11, M2: 14/11, M3: 6/11, M4: 12/11, M5: 10/11, M6: 10/11, M7: 10/11, q1: 9/11, q2: 1, qb1: 5/11, qb2: 3/11, phi1: 4/11} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3363 | 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_6\phi_1\tilde{q}_1\tilde{q}_2$ | 0.6219 | 0.784 | 0.7932 | [X:[1.3657], M:[0.6343, 1.1219, 0.7968, 1.0406, 0.9594, 0.6828], q:[0.7805, 0.5852], qb:[0.618, 0.2602], phi:[0.4391]] | t^2.05 + t^2.39 + t^2.54 + t^2.63 + t^2.88 + t^3.12 + t^3.37 + t^3.85 + 2*t^4.1 + t^4.2 + t^4.44 + t^4.58 + t^4.68 + t^4.78 + t^4.83 + 2*t^4.93 + t^5.02 + t^5.07 + 2*t^5.17 + 2*t^5.27 + 2*t^5.41 + 2*t^5.51 + t^5.66 + 2*t^5.76 + t^5.9 - t^6. - t^4.32/y - t^4.32*y | detail |