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 |
|---|---|---|---|---|---|---|---|---|---|
| 5453 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_5M_6$ + $ M_6M_7$ + $ M_2M_8$ | 0.6711 | 0.8065 | 0.8322 | [X:[1.2913], M:[0.987, 0.7348, 1.013, 0.7087, 0.987, 1.013, 0.987, 1.2652], q:[0.5065, 0.5065], qb:[0.4805, 0.7848], phi:[0.4304]] | [X:[[6]], M:[[-14], [22], [14], [-6], [-14], [14], [-14], [-22]], q:[[7], [7]], qb:[[-21], [-1]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ M_1$, $ M_5$, $ M_7$, $ M_8$, $ q_1\tilde{q}_2$, $ X_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ \phi_1^4$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_7\phi_1^2$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_1M_7$, $ M_5M_7$, $ M_7^2$ | . | -5 | t^2.58 + 3*t^2.96 + t^3.8 + 2*t^3.87 + t^4.17 + 2*t^4.25 + 3*t^4.33 + t^5.17 + 3*t^5.54 + 4*t^5.92 - 5*t^6. - 2*t^6.08 + 4*t^6.76 + 5*t^6.83 + 2*t^6.91 + 3*t^7.13 + 3*t^7.21 + 3*t^7.29 - 2*t^7.37 + t^7.75 + t^7.97 + 2*t^8.05 + 6*t^8.13 + 4*t^8.2 + t^8.35 + 2*t^8.43 + 6*t^8.5 - 3*t^8.58 + 3*t^8.66 + 4*t^8.88 - 12*t^8.96 - t^4.29/y - t^6.87/y - t^7.25/y + t^7.33/y + t^7.71/y + (3*t^8.54)/y + (3*t^8.92)/y - t^4.29*y - t^6.87*y - t^7.25*y + t^7.33*y + t^7.71*y + 3*t^8.54*y + 3*t^8.92*y | g1^4*t^2.58 + (3*t^2.96)/g1^14 + t^3.8/g1^22 + 2*g1^6*t^3.87 + t^4.17/g1^40 + (2*t^4.25)/g1^12 + 3*g1^16*t^4.33 + g1^8*t^5.17 + (3*t^5.54)/g1^10 + (4*t^5.92)/g1^28 - 5*t^6. - 2*g1^28*t^6.08 + (4*t^6.76)/g1^36 + (5*t^6.83)/g1^8 + 2*g1^20*t^6.91 + (3*t^7.13)/g1^54 + (3*t^7.21)/g1^26 + 3*g1^2*t^7.29 - 2*g1^30*t^7.37 + g1^12*t^7.75 + t^7.97/g1^62 + (2*t^8.05)/g1^34 + (6*t^8.13)/g1^6 + 4*g1^22*t^8.2 + t^8.35/g1^80 + (2*t^8.43)/g1^52 + (6*t^8.5)/g1^24 - 3*g1^4*t^8.58 + 3*g1^32*t^8.66 + (4*t^8.88)/g1^42 - (12*t^8.96)/g1^14 - (g1^2*t^4.29)/y - (g1^6*t^6.87)/y - t^7.25/(g1^12*y) + (g1^16*t^7.33)/y + t^7.71/(g1^2*y) + (3*t^8.54)/(g1^10*y) + (3*t^8.92)/(g1^28*y) - g1^2*t^4.29*y - g1^6*t^6.87*y - (t^7.25*y)/g1^12 + g1^16*t^7.33*y + (t^7.71*y)/g1^2 + (3*t^8.54*y)/g1^10 + (3*t^8.92*y)/g1^28 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6912 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_5M_6$ + $ M_6M_7$ + $ M_2M_8$ + $ M_9\phi_1^2$ | 0.6589 | 0.7861 | 0.8382 | [X:[1.2932], M:[0.9824, 0.7419, 1.0176, 0.7068, 0.9824, 1.0176, 0.9824, 1.2581, 1.1378], q:[0.5088, 0.5088], qb:[0.4736, 0.7845], phi:[0.4311]] | 3*t^2.95 + t^3.41 + t^3.77 + 2*t^3.88 + t^4.14 + 2*t^4.24 + 3*t^4.35 + 4*t^5.89 - 5*t^6. - t^4.29/y - t^4.29*y | detail | |
| 6913 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_5M_6$ + $ M_6M_7$ + $ M_2M_8$ + $ M_9q_1\tilde{q}_2$ | 0.6915 | 0.8453 | 0.8181 | [X:[1.2921], M:[0.9851, 0.7378, 1.0149, 0.7079, 0.9851, 1.0149, 0.9851, 1.2622, 0.7079], q:[0.5075, 0.5075], qb:[0.4776, 0.7846], phi:[0.4307]] | t^2.12 + t^2.58 + 3*t^2.96 + t^3.79 + t^3.88 + t^4.16 + 3*t^4.25 + 3*t^4.34 + t^4.71 + 3*t^5.08 + t^5.17 + 3*t^5.54 + 5*t^5.91 - 4*t^6. - t^4.29/y - t^4.29*y | detail |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3861 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_5M_6$ + $ M_6M_7$ | 0.691 | 0.8428 | 0.8199 | [X:[1.2874], M:[0.9961, 0.7205, 1.0039, 0.7126, 0.9961, 1.0039, 0.9961], q:[0.502, 0.502], qb:[0.4941, 0.7854], phi:[0.4291]] | t^2.16 + t^2.57 + 3*t^2.99 + 2*t^3.86 + t^4.25 + 2*t^4.28 + 3*t^4.3 + t^4.32 + t^4.74 + 4*t^5.15 + 3*t^5.56 + 4*t^5.98 - 5*t^6. - t^4.29/y - t^4.29*y | detail |