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 |
|---|---|---|---|---|---|---|---|---|---|
| 48212 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_2M_3$ + $ q_1\tilde{q}_1^2\tilde{q}_2$ + $ M_3M_4$ | 0.5748 | 0.7111 | 0.8082 | [X:[], M:[0.7273, 0.9091, 1.0909, 0.9091], q:[0.8182, 0.8182], qb:[0.2727, 0.6364], phi:[0.3636]] | [X:[], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | {a: 765/1331, c: 1893/2662, M1: 8/11, M2: 10/11, M3: 12/11, M4: 10/11, q1: 9/11, q2: 9/11, qb1: 3/11, qb2: 7/11, phi1: 4/11} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \phi_1^2$, $ M_2$, $ M_4$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ M_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ M_1M_2$, $ M_1M_4$, $ M_2\phi_1^2$, $ M_4\phi_1^2$, $ q_1q_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2^2$, $ M_2M_4$, $ M_4^2$, $ M_1q_1\tilde{q}_1$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$ | $M_4q_1\tilde{q}_1$ | 2*t^2.18 + 3*t^2.73 + t^3.27 + 5*t^4.36 + 7*t^4.91 + 6*t^5.45 - t^6. + 4*t^6.55 + 12*t^7.09 + 10*t^7.64 - t^8.73 - t^4.09/y - (2*t^6.27)/y - t^6.82/y + (2*t^7.36)/y + (8*t^7.91)/y + (2*t^8.45)/y - t^4.09*y - 2*t^6.27*y - t^6.82*y + 2*t^7.36*y + 8*t^7.91*y + 2*t^8.45*y | 2*t^2.18 + 3*t^2.73 + t^3.27 + 5*t^4.36 + 7*t^4.91 + 6*t^5.45 - t^6. + 4*t^6.55 + 12*t^7.09 + 10*t^7.64 - t^8.73 - t^4.09/y - (2*t^6.27)/y - t^6.82/y + (2*t^7.36)/y + (8*t^7.91)/y + (2*t^8.45)/y - t^4.09*y - 2*t^6.27*y - t^6.82*y + 2*t^7.36*y + 8*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 |
|---|---|---|---|---|---|---|---|---|
| 55950 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_2M_3$ + $ q_1\tilde{q}_1^2\tilde{q}_2$ + $ M_3M_4$ + $ M_5q_1\tilde{q}_1$ | 0.5831 | 0.7251 | 0.8041 | [X:[], M:[0.7273, 0.9091, 1.0909, 0.9091, 0.9091], q:[0.8182, 0.8182], qb:[0.2727, 0.6364], phi:[0.3636]] | 2*t^2.18 + 4*t^2.73 + 5*t^4.36 + 9*t^4.91 + 8*t^5.45 - 4*t^6. - t^4.09/y - t^4.09*y | detail | {a: 12417/21296, c: 7721/10648, M1: 8/11, M2: 10/11, M3: 12/11, M4: 10/11, M5: 10/11, q1: 9/11, q2: 9/11, qb1: 3/11, qb2: 7/11, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46587 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_2q_2\tilde{q}_1$ + $ M_2q_1\tilde{q}_1$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_2M_3$ + $ q_1\tilde{q}_1^2\tilde{q}_2$ | 0.5664 | 0.6971 | 0.8125 | [X:[], M:[0.7273, 0.9091, 1.0909], q:[0.8182, 0.8182], qb:[0.2727, 0.6364], phi:[0.3636]] | 2*t^2.18 + 2*t^2.73 + 2*t^3.27 + 5*t^4.36 + 5*t^4.91 + 5*t^5.45 - t^4.09/y - t^4.09*y | detail | {a: 12063/21296, c: 7423/10648, M1: 8/11, M2: 10/11, M3: 12/11, q1: 9/11, q2: 9/11, qb1: 3/11, qb2: 7/11, phi1: 4/11} |