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 |
|---|---|---|---|---|---|---|---|---|---|
| 4054 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_4M_6$ + $ M_3X_1$ + $ M_4q_1q_2$ + $ M_7q_1\tilde{q}_2$ | 0.5255 | 0.6732 | 0.7806 | [X:[1.4545], M:[0.7273, 1.2727, 0.5455, 0.9091, 0.7273, 1.0909, 0.7273], q:[0.8182, 0.2727], qb:[1.0, 0.4545], phi:[0.3636]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 5595/10648, c: 896/1331, X1: 16/11, M1: 8/11, M2: 14/11, M3: 6/11, M4: 10/11, M5: 8/11, M6: 12/11, M7: 8/11, q1: 9/11, q2: 3/11, qb1: 1, qb2: 5/11, phi1: 4/11} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_5$, $ M_7$, $ \phi_1^2$, $ M_4$, $ M_6$, $ q_1q_2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_1M_7$, $ M_5M_7$, $ M_7^2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_7\phi_1^2$, $ \phi_1^4$, $ X_1$, $ M_1M_4$, $ M_4M_5$, $ M_4M_7$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_4^2$, $ M_1M_6$, $ M_5M_6$, $ M_6M_7$, $ M_6\phi_1^2$, $ M_5q_1q_2$, $ M_7q_1q_2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$ | $M_1\phi_1\tilde{q}_2^2$, $ M_5\phi_1\tilde{q}_2^2$, $ M_7\phi_1\tilde{q}_2^2$, $ \phi_1^3\tilde{q}_2^2$ | -1 | 4*t^2.18 + t^2.73 + 2*t^3.27 + 10*t^4.36 + 4*t^4.91 + 7*t^5.45 - t^6. + 18*t^6.55 + 6*t^7.09 + 13*t^7.64 - 7*t^8.18 + 23*t^8.73 - t^4.09/y - (3*t^6.27)/y + (6*t^7.36)/y + (7*t^7.91)/y + (2*t^8.45)/y - t^4.09*y - 3*t^6.27*y + 6*t^7.36*y + 7*t^7.91*y + 2*t^8.45*y | 4*t^2.18 + t^2.73 + 2*t^3.27 + 10*t^4.36 + 4*t^4.91 + 7*t^5.45 - t^6. + 18*t^6.55 + 6*t^7.09 + 13*t^7.64 - 7*t^8.18 + 23*t^8.73 - t^4.09/y - (3*t^6.27)/y + (6*t^7.36)/y + (7*t^7.91)/y + (2*t^8.45)/y - t^4.09*y - 3*t^6.27*y + 6*t^7.36*y + 7*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 |
|---|---|---|---|---|---|---|---|---|
| 5604 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_4M_6$ + $ M_3X_1$ + $ M_4q_1q_2$ + $ M_7q_1\tilde{q}_2$ + $ M_6M_8$ | 0.5338 | 0.6872 | 0.7768 | [X:[1.4545], M:[0.7273, 1.2727, 0.5455, 0.9091, 0.7273, 1.0909, 0.7273, 0.9091], q:[0.8182, 0.2727], qb:[1.0, 0.4545], phi:[0.3636]] | 4*t^2.18 + 2*t^2.73 + t^3.27 + 10*t^4.36 + 8*t^4.91 + 5*t^5.45 - t^6. - t^4.09/y - t^4.09*y | detail | {a: 11367/21296, c: 7317/10648, X1: 16/11, M1: 8/11, M2: 14/11, M3: 6/11, M4: 10/11, M5: 8/11, M6: 12/11, M7: 8/11, M8: 10/11, q1: 9/11, q2: 3/11, qb1: 1, qb2: 5/11, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1654 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2q_2\tilde{q}_2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_2\phi_1^2$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_2M_5$ + $ M_6\phi_1q_2^2$ + $ M_4M_6$ + $ M_3X_1$ + $ M_4q_1q_2$ | 0.5056 | 0.6363 | 0.7946 | [X:[1.4545], M:[0.7273, 1.2727, 0.5455, 0.9091, 0.7273, 1.0909], q:[0.8182, 0.2727], qb:[1.0, 0.4545], phi:[0.3636]] | 3*t^2.18 + t^2.73 + 2*t^3.27 + t^3.82 + 6*t^4.36 + 3*t^4.91 + 5*t^5.45 + 2*t^6. - t^4.09/y - t^4.09*y | detail | {a: 10767/21296, c: 6775/10648, X1: 16/11, M1: 8/11, M2: 14/11, M3: 6/11, M4: 10/11, M5: 8/11, M6: 12/11, q1: 9/11, q2: 3/11, qb1: 1, qb2: 5/11, phi1: 4/11} |