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 |
|---|---|---|---|---|---|---|---|---|---|
| 46346 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ q_2\tilde{q}_2$ + $ \phi_1^2X_1$ | 0.4729 | 0.5526 | 0.8558 | [X:[1.4498], M:[0.8995, 1.1005, 0.7512, 0.8995], q:[0.4127, 0.6878], qb:[0.4869, 1.3122], phi:[0.2751]] | [X:[[4]], M:[[8], [-8], [-20], [8]], q:[[-3], [-5]], qb:[[11], [5]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_1$, $ M_4$, $ q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ X_1$, $ M_3^2$, $ M_1M_3$, $ M_3M_4$, $ \phi_1q_2^2$, $ M_1^2$, $ M_1M_4$, $ M_4^2$, $ \tilde{q}_1\tilde{q}_2$ | . | -2 | t^2.25 + 2*t^2.7 + t^3.52 + t^4.35 + t^4.51 + 2*t^4.95 + 3*t^5.4 - 2*t^6. + t^6.22 + t^6.76 - t^6.83 + t^7.05 + 2*t^7.21 + 2*t^7.65 + 3*t^8.1 - 2*t^8.25 - 4*t^8.7 + t^8.92 - t^3.83/y - t^6.08/y - t^6.52/y + t^7.13/y + t^7.57/y + (2*t^7.95)/y - t^8.33/y + t^8.4/y - t^3.83*y - t^6.08*y - t^6.52*y + t^7.13*y + t^7.57*y + 2*t^7.95*y - t^8.33*y + t^8.4*y | t^2.25/g1^20 + 2*g1^8*t^2.7 + g1^6*t^3.52 + g1^4*t^4.35 + t^4.51/g1^40 + (2*t^4.95)/g1^12 + 3*g1^16*t^5.4 - 2*t^6. + g1^14*t^6.22 + t^6.76/g1^60 - t^6.83/g1^2 + g1^12*t^7.05 + (2*t^7.21)/g1^32 + (2*t^7.65)/g1^4 + 3*g1^24*t^8.1 - (2*t^8.25)/g1^20 - 4*g1^8*t^8.7 + g1^22*t^8.92 - t^3.83/(g1^2*y) - t^6.08/(g1^22*y) - (g1^6*t^6.52)/y + t^7.13/(g1^10*y) + (g1^18*t^7.57)/y + (2*t^7.95)/(g1^12*y) - t^8.33/(g1^42*y) + (g1^16*t^8.4)/y - (t^3.83*y)/g1^2 - (t^6.08*y)/g1^22 - g1^6*t^6.52*y + (t^7.13*y)/g1^10 + g1^18*t^7.57*y + (2*t^7.95*y)/g1^12 - (t^8.33*y)/g1^42 + g1^16*t^8.4*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 |
|---|---|---|---|---|---|---|---|---|
| 46857 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_2M_4$ + $ q_2\tilde{q}_2$ + $ \phi_1^2X_1$ + $ M_3^2$ | 0.4439 | 0.5252 | 0.8453 | [X:[1.4], M:[0.8, 1.2, 1.0, 0.8], q:[0.45, 0.75], qb:[0.35, 1.25], phi:[0.3]] | 2*t^2.4 + t^3. + t^3.3 + t^4.2 + 3*t^4.8 + 2*t^5.4 + t^5.7 - t^6. - t^3.9/y - t^3.9*y | detail | {a: 2841/6400, c: 3361/6400, X1: 7/5, M1: 4/5, M2: 6/5, M3: 1, M4: 4/5, q1: 9/20, q2: 3/4, qb1: 7/20, qb2: 5/4, phi1: 3/10} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 46178 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_1\tilde{q}_2$ + $ M_1M_2$ + $ M_3\phi_1\tilde{q}_1^2$ + $ M_2M_4$ | 0.5873 | 0.7232 | 0.8121 | [X:[], M:[1.0024, 0.9976, 0.7764, 1.0024], q:[0.5858, 0.4118], qb:[0.4165, 1.0236], phi:[0.3906]] | t^2.33 + t^2.34 + t^2.48 + 2*t^3.01 + t^3.64 + t^3.66 + t^4.31 + t^4.32 + t^4.66 + t^4.67 + t^4.69 + t^4.81 + 2*t^4.83 + t^4.97 + t^5.34 + t^5.35 + 2*t^5.49 + t^5.97 + t^5.99 - 2*t^6. - t^4.17/y - t^4.17*y | detail |