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 |
|---|---|---|---|---|---|---|---|---|---|
| 46297 | 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$ | 0.5775 | 0.715 | 0.8077 | [X:[], M:[0.8, 0.9333, 1.0667], q:[0.8, 0.8], qb:[0.2667, 0.5333], phi:[0.4]] | [X:[], M:[[-12], [-4], [4]], q:[[3], [3]], qb:[[1], [17]], phi:[[-6]]] | 1 | {a: 231/400, c: 143/200, M1: 4/5, M2: 14/15, M3: 16/15, q1: 4/5, q2: 4/5, qb1: 4/15, qb2: 8/15, phi1: 2/5} |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \phi_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ M_2$, $ M_3$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1^2$, $ M_1\phi_1^2$, $ \phi_1^4$, $ q_1q_2$, $ M_1\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_2$, $ M_2\phi_1^2$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_1M_3$, $ M_3\phi_1^2$, $ M_1q_1\tilde{q}_1$, $ M_3\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1^2\tilde{q}_2$ | . | -1 | 3*t^2.4 + t^2.8 + 2*t^3.2 + 2*t^4. + t^4.4 + 7*t^4.8 + 2*t^5.2 + 5*t^5.6 - t^6. + 5*t^6.4 + 13*t^7.2 + t^7.6 + 9*t^8. - 5*t^8.4 + 8*t^8.8 - t^4.2/y - (2*t^6.6)/y + (5*t^7.8)/y + (3*t^8.2)/y + (6*t^8.6)/y - t^4.2*y - 2*t^6.6*y + 5*t^7.8*y + 3*t^8.2*y + 6*t^8.6*y | (2*t^2.4)/g1^12 + g1^18*t^2.4 + t^2.8/g1^4 + 2*g1^4*t^3.2 + 2*g1^20*t^4. + g1^28*t^4.4 + (3*t^4.8)/g1^24 + 3*g1^6*t^4.8 + g1^36*t^4.8 + t^5.2/g1^16 + g1^14*t^5.2 + (3*t^5.6)/g1^8 + 2*g1^22*t^5.6 - t^6. - t^6.4/g1^22 + 4*g1^8*t^6.4 + 2*g1^38*t^6.4 - (2*t^6.8)/g1^14 + g1^16*t^6.8 + g1^46*t^6.8 + (4*t^7.2)/g1^36 + (3*t^7.2)/g1^6 + 5*g1^24*t^7.2 + g1^54*t^7.2 + t^7.6/g1^28 - g1^2*t^7.6 + g1^32*t^7.6 + (3*t^8.)/g1^20 + 2*g1^10*t^8. + 4*g1^40*t^8. - (4*t^8.4)/g1^12 - 3*g1^18*t^8.4 + 2*g1^48*t^8.4 - t^8.8/g1^34 + (2*t^8.8)/g1^4 + 4*g1^26*t^8.8 + 3*g1^56*t^8.8 - t^4.2/(g1^6*y) - (2*t^6.6)/(g1^18*y) + t^7.8/(g1^24*y) + (4*g1^6*t^7.8)/y + (2*t^8.2)/(g1^16*y) + (g1^14*t^8.2)/y + (4*t^8.6)/(g1^8*y) + (2*g1^22*t^8.6)/y - (t^4.2*y)/g1^6 - (2*t^6.6*y)/g1^18 + (t^7.8*y)/g1^24 + 4*g1^6*t^7.8*y + (2*t^8.2*y)/g1^16 + g1^14*t^8.2*y + (4*t^8.6*y)/g1^8 + 2*g1^22*t^8.6*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 |
|---|---|---|---|---|---|---|---|---|
| 46376 | $\phi_1q_1q_2$ + $ 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$ + $ M_3M_4$ | 0.5838 | 0.7249 | 0.8053 | [X:[], M:[0.7931, 0.931, 1.069, 0.931], q:[0.8017, 0.8017], qb:[0.2672, 0.5431], phi:[0.3965]] | 2*t^2.38 + t^2.43 + 2*t^2.79 + t^3.21 + 2*t^4.03 + t^4.45 + 3*t^4.76 + 3*t^4.81 + t^4.86 + 3*t^5.17 + 2*t^5.22 + 3*t^5.59 + t^5.64 - t^6. - t^4.19/y - t^4.19*y | detail | |
| 46587 | $\phi_1q_1q_2$ + $ 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} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 45949 | 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$ | 0.6691 | 0.8364 | 0.8 | [X:[], M:[0.7014, 0.6923, 0.6833], q:[0.8247, 0.8247], qb:[0.483, 0.4649], phi:[0.3507]] | t^2.05 + t^2.08 + 2*t^2.1 + t^2.84 + t^3.84 + 2*t^3.87 + t^3.92 + t^4.1 + t^4.13 + 3*t^4.15 + 2*t^4.18 + 3*t^4.21 + t^4.89 + t^4.92 + 3*t^4.95 + t^5.69 + t^5.89 + 3*t^5.92 + 3*t^5.95 + 3*t^5.97 - 2*t^6. - t^4.05/y - t^4.05*y | detail |