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 |
|---|---|---|---|---|---|---|---|---|---|
| 2374 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ M_3M_5$ + $ M_6M_7$ | 0.6941 | 0.8506 | 0.816 | [X:[], M:[1.0, 1.0093, 0.9814, 0.9628, 1.0186, 1.0372, 0.9628], q:[0.5372, 0.4628], qb:[0.5, 0.5186], phi:[0.4954]] | [X:[], M:[[0], [2], [-4], [-8], [4], [8], [-8]], q:[[8], [-8]], qb:[[0], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_7$, $ M_3$, $ M_1$, $ M_2$, $ M_5$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_4^2$, $ M_4M_7$, $ M_7^2$, $ M_3M_4$, $ M_3M_7$, $ M_3^2$, $ M_1M_4$, $ M_1M_7$, $ M_2M_4$, $ M_2M_7$, $ M_1M_3$, $ M_4M_5$, $ M_5M_7$, $ M_2M_3$ | . | -2 | 2*t^2.89 + t^2.94 + t^3. + t^3.03 + t^3.06 + t^3.17 + t^4.26 + t^4.37 + t^4.43 + 2*t^4.49 + t^4.54 + 2*t^4.6 + t^4.65 + t^4.71 + 2*t^5.78 + t^5.83 + t^5.89 + 2*t^5.92 + t^5.94 + t^5.97 - 2*t^6. + t^6.03 + t^6.06 + t^6.08 + t^6.2 + t^6.33 + 2*t^7.15 + t^7.21 + 2*t^7.26 + 2*t^7.32 + 3*t^7.37 + 3*t^7.43 + 3*t^7.49 + 3*t^7.54 + 3*t^7.6 + 3*t^7.65 + t^7.71 + 2*t^7.77 + t^7.82 + t^7.88 + t^8.53 + t^8.64 + 2*t^8.67 + t^8.69 + 2*t^8.75 + 3*t^8.8 + 4*t^8.86 - 5*t^8.89 + 3*t^8.92 - 3*t^8.94 + 5*t^8.97 - t^4.49/y - t^7.37/y + t^7.6/y + t^8.78/y + (2*t^8.83)/y + (2*t^8.89)/y + (2*t^8.92)/y + (3*t^8.94)/y + t^8.97/y - t^4.49*y - t^7.37*y + t^7.6*y + t^8.78*y + 2*t^8.83*y + 2*t^8.89*y + 2*t^8.92*y + 3*t^8.94*y + t^8.97*y | (2*t^2.89)/g1^8 + t^2.94/g1^4 + t^3. + g1^2*t^3.03 + g1^4*t^3.06 + g1^12*t^3.17 + t^4.26/g1^17 + t^4.37/g1^9 + t^4.43/g1^5 + (2*t^4.49)/g1 + g1^3*t^4.54 + 2*g1^7*t^4.6 + g1^11*t^4.65 + g1^15*t^4.71 + (2*t^5.78)/g1^16 + t^5.83/g1^12 + t^5.89/g1^8 + (2*t^5.92)/g1^6 + t^5.94/g1^4 + t^5.97/g1^2 - 2*t^6. + g1^2*t^6.03 + g1^4*t^6.06 + g1^6*t^6.08 + g1^14*t^6.2 + g1^24*t^6.33 + (2*t^7.15)/g1^25 + t^7.21/g1^21 + (2*t^7.26)/g1^17 + (2*t^7.32)/g1^13 + (3*t^7.37)/g1^9 + (3*t^7.43)/g1^5 + (3*t^7.49)/g1 + 3*g1^3*t^7.54 + 3*g1^7*t^7.6 + 3*g1^11*t^7.65 + g1^15*t^7.71 + 2*g1^19*t^7.77 + g1^23*t^7.82 + g1^27*t^7.88 + t^8.53/g1^34 + t^8.64/g1^26 + (2*t^8.67)/g1^24 + t^8.69/g1^22 + (2*t^8.75)/g1^18 + (3*t^8.8)/g1^14 + (4*t^8.86)/g1^10 - (5*t^8.89)/g1^8 + (3*t^8.92)/g1^6 - (3*t^8.94)/g1^4 + (5*t^8.97)/g1^2 - t^4.49/(g1*y) - t^7.37/(g1^9*y) + (g1^7*t^7.6)/y + t^8.78/(g1^16*y) + (2*t^8.83)/(g1^12*y) + (2*t^8.89)/(g1^8*y) + (2*t^8.92)/(g1^6*y) + (3*t^8.94)/(g1^4*y) + t^8.97/(g1^2*y) - (t^4.49*y)/g1 - (t^7.37*y)/g1^9 + g1^7*t^7.6*y + (t^8.78*y)/g1^16 + (2*t^8.83*y)/g1^12 + (2*t^8.89*y)/g1^8 + (2*t^8.92*y)/g1^6 + (3*t^8.94*y)/g1^4 + (t^8.97*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 4374 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ M_3M_5$ + $ M_6M_7$ + $ \phi_1q_1^2$ | 0.5893 | 0.7477 | 0.7882 | [X:[], M:[1.0, 1.0667, 0.8667, 0.7333, 1.1333, 1.2667, 0.7333], q:[0.7667, 0.2333], qb:[0.5, 0.6333], phi:[0.4667]] | 2*t^2.2 + t^2.6 + t^2.8 + t^3. + t^3.2 + t^3.4 + t^3.6 + t^4. + t^4.2 + 4*t^4.4 + 2*t^4.8 + 2*t^5. + 3*t^5.2 + 3*t^5.4 + 3*t^5.6 + 3*t^5.8 - t^6. - t^4.4/y - t^4.4*y | detail | {a: 221/375, c: 2243/3000, M1: 1, M2: 16/15, M3: 13/15, M4: 11/15, M5: 17/15, M6: 19/15, M7: 11/15, q1: 23/30, q2: 7/30, qb1: 1/2, qb2: 19/30, phi1: 7/15} |
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 1323 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_1^2$ + $ M_3M_5$ | 0.6917 | 0.8473 | 0.8164 | [X:[], M:[1.0, 1.0032, 0.9935, 0.987, 1.0065, 1.013], q:[0.513, 0.487], qb:[0.5, 0.5065], phi:[0.4984]] | t^2.96 + t^2.98 + t^3. + t^3.01 + t^3.02 + t^3.04 + t^3.06 + t^4.42 + t^4.46 + t^4.48 + 2*t^4.5 + t^4.51 + 2*t^4.53 + t^4.55 + t^4.57 + t^5.97 + t^5.99 - t^6. - t^4.5/y - t^4.5*y | detail |