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 |
|---|---|---|---|---|---|---|---|---|---|
| 68 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_2$ + $ \phi_1^2X_1$ | 0.4727 | 0.5351 | 0.8834 | [X:[1.5133], M:[0.7051], q:[0.8783, 0.9032], qb:[0.3917, 0.8535], phi:[0.2433]] | [X:[[0, 4]], M:[[1, -7]], q:[[0, 1], [-1, 2]], qb:[[0, 5], [1, 0]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ \phi_1\tilde{q}_1^2$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ M_1^2$, $ X_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$ | . | -2 | t^2.12 + t^3.08 + t^3.74 + t^3.81 + t^4.23 + t^4.54 + t^5.2 + t^5.85 - 2*t^6. - t^6.07 + t^6.16 + t^6.35 - t^6.73 - t^6.8 + t^6.82 + t^6.89 + t^7.31 + t^7.47 + t^7.55 + t^7.62 + t^7.97 - 2*t^8.12 + t^8.28 - t^8.42 + t^8.46 - 2*t^8.85 + t^8.93 + t^8.99 - t^8.85/y^2 - t^3.73/y - t^5.85/y + t^7.61/y - t^7.96/y + t^8.2/y + t^8.85/y + t^8.93/y - t^3.73*y - t^5.85*y + t^7.61*y - t^7.96*y + t^8.2*y + t^8.85*y + t^8.93*y - t^8.85*y^2 | (g1*t^2.12)/g2^7 + g2^8*t^3.08 + g1*g2^5*t^3.74 + g2^6*t^3.81 + (g1^2*t^4.23)/g2^14 + g2^4*t^4.54 + g1*g2*t^5.2 + (g1^2*t^5.85)/g2^2 - 2*t^6. - (g2*t^6.07)/g1 + g2^16*t^6.16 + (g1^3*t^6.35)/g2^21 - t^6.73/g2^2 - t^6.8/(g1*g2) + g1*g2^13*t^6.82 + g2^14*t^6.89 + (g1^2*t^7.31)/g2^6 + g1^2*g2^10*t^7.47 + g1*g2^11*t^7.55 + g2^12*t^7.62 + (g1^3*t^7.97)/g2^9 - (2*g1*t^8.12)/g2^7 + g1*g2^9*t^8.28 - (g2^11*t^8.42)/g1 + (g1^4*t^8.46)/g2^28 - (2*g1*t^8.85)/g2^9 + g1^2*g2^6*t^8.93 + t^8.99/(g1*g2^7) - (g1*t^8.85)/(g2^9*y^2) - t^3.73/(g2^2*y) - (g1*t^5.85)/(g2^9*y) + (g2^5*t^7.61)/(g1*y) - (g1^2*t^7.96)/(g2^16*y) + (g1*g2*t^8.2)/y + (g1^2*t^8.85)/(g2^2*y) + (g1*t^8.93)/(g2*y) - (t^3.73*y)/g2^2 - (g1*t^5.85*y)/g2^9 + (g2^5*t^7.61*y)/g1 - (g1^2*t^7.96*y)/g2^16 + g1*g2*t^8.2*y + (g1^2*t^8.85*y)/g2^2 + (g1*t^8.93*y)/g2 - (g1*t^8.85*y^2)/g2^9 |
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 |
|---|---|---|---|---|---|---|---|---|
| 45930 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_2$ + $ \phi_1^2X_1$ + $ \tilde{q}_1\tilde{q}_2$ | 0.3583 | 0.3667 | 0.9773 | [X:[1.7333], M:[0.8], q:[0.9333, 0.5333], qb:[0.6667, 1.3333], phi:[0.1333]] | t^2.4 + t^4.4 + t^4.8 - t^6. - t^3.4/y - t^5.8/y - t^3.4*y - t^5.8*y | detail | {a: 43/120, c: 11/30, X1: 26/15, M1: 4/5, q1: 14/15, q2: 8/15, qb1: 2/3, qb2: 4/3, phi1: 2/15} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3 | SU2adj1nf1 | $\phi_1^2X_1$ + $ M_1\phi_1q_1^2$ | 0.4727 | 0.5351 | 0.8834 | [X:[1.5133], M:[0.7051], q:[0.5258], qb:[0.5009], phi:[0.2433]] | t^2.12 + t^3.08 + t^3.74 + t^3.81 + t^4.23 + t^4.54 + t^5.2 + t^5.85 - 2*t^6. - t^3.73/y - t^5.85/y - t^3.73*y - t^5.85*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1668 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ | 0.6817 | 0.8108 | 0.8408 | [X:[], M:[0.8681], q:[0.8067, 0.5659], qb:[0.5659, 0.515], phi:[0.3866]] | t^2.32 + t^2.6 + 2*t^3.24 + t^3.96 + 2*t^4.12 + t^4.25 + 2*t^4.4 + 3*t^4.56 + t^4.64 + t^4.92 + t^5.21 + 2*t^5.56 - 5*t^6. - t^4.16/y - t^4.16*y | detail |