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 |
|---|---|---|---|---|---|---|---|---|---|
| 2373 | 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_5M_7$ | 0.6926 | 0.8483 | 0.8165 | [X:[], M:[1.0, 1.0063, 0.9874, 0.9748, 1.0126, 1.0252, 0.9874], q:[0.5252, 0.4748], qb:[0.5, 0.5126], phi:[0.4968]] | [X:[], M:[[0], [2], [-4], [-8], [4], [8], [-4]], q:[[8], [-8]], qb:[[0], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ M_7$, $ M_1$, $ M_2$, $ M_6$, $ 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_3M_4$, $ M_4M_7$, $ M_3^2$, $ M_1M_4$, $ M_3M_7$, $ M_7^2$, $ M_2M_4$, $ M_2M_3$, $ M_2M_7$ | . | -2 | t^2.92 + 2*t^2.96 + t^3. + t^3.02 + t^3.08 + t^3.11 + t^4.34 + t^4.41 + t^4.45 + 2*t^4.49 + t^4.53 + 2*t^4.57 + t^4.6 + t^4.64 + t^5.89 + 2*t^5.92 + t^5.94 + 2*t^5.98 - 2*t^6. + t^6.02 + t^6.04 + t^6.08 + t^6.09 + t^6.13 + t^6.19 + t^6.23 + t^7.26 + 2*t^7.3 + t^7.34 + t^7.38 + 3*t^7.41 + 3*t^7.45 + 2*t^7.49 + 3*t^7.53 + 4*t^7.57 + 3*t^7.6 + 2*t^7.64 + 2*t^7.68 + 2*t^7.72 + t^7.76 + t^8.68 + t^8.75 + t^8.79 - t^8.81 + 2*t^8.83 + t^8.87 + t^8.89 + 4*t^8.91 - 3*t^8.92 + 4*t^8.94 - 6*t^8.96 + 4*t^8.98 - t^4.49/y - t^7.45/y + t^7.53/y + (2*t^8.89)/y + (2*t^8.92)/y + t^8.94/y + (2*t^8.96)/y + (2*t^8.98)/y - t^4.49*y - t^7.45*y + t^7.53*y + 2*t^8.89*y + 2*t^8.92*y + t^8.94*y + 2*t^8.96*y + 2*t^8.98*y | t^2.92/g1^8 + (2*t^2.96)/g1^4 + t^3. + g1^2*t^3.02 + g1^8*t^3.08 + g1^12*t^3.11 + t^4.34/g1^17 + t^4.41/g1^9 + t^4.45/g1^5 + (2*t^4.49)/g1 + g1^3*t^4.53 + 2*g1^7*t^4.57 + g1^11*t^4.6 + g1^15*t^4.64 + t^5.89/g1^12 + (2*t^5.92)/g1^8 + t^5.94/g1^6 + (2*t^5.98)/g1^2 - 2*t^6. + g1^2*t^6.02 + g1^4*t^6.04 + g1^8*t^6.08 + g1^10*t^6.09 + g1^14*t^6.13 + g1^20*t^6.19 + g1^24*t^6.23 + t^7.26/g1^25 + (2*t^7.3)/g1^21 + t^7.34/g1^17 + t^7.38/g1^13 + (3*t^7.41)/g1^9 + (3*t^7.45)/g1^5 + (2*t^7.49)/g1 + 3*g1^3*t^7.53 + 4*g1^7*t^7.57 + 3*g1^11*t^7.6 + 2*g1^15*t^7.64 + 2*g1^19*t^7.68 + 2*g1^23*t^7.72 + g1^27*t^7.76 + t^8.68/g1^34 + t^8.75/g1^26 + t^8.79/g1^22 - t^8.81/g1^20 + (2*t^8.83)/g1^18 + t^8.87/g1^14 + t^8.89/g1^12 + (4*t^8.91)/g1^10 - (3*t^8.92)/g1^8 + (4*t^8.94)/g1^6 - (6*t^8.96)/g1^4 + (4*t^8.98)/g1^2 - t^4.49/(g1*y) - t^7.45/(g1^5*y) + (g1^3*t^7.53)/y + (2*t^8.89)/(g1^12*y) + (2*t^8.92)/(g1^8*y) + t^8.94/(g1^6*y) + (2*t^8.96)/(g1^4*y) + (2*t^8.98)/(g1^2*y) - (t^4.49*y)/g1 - (t^7.45*y)/g1^5 + g1^3*t^7.53*y + (2*t^8.89*y)/g1^12 + (2*t^8.92*y)/g1^8 + (t^8.94*y)/g1^6 + (2*t^8.96*y)/g1^4 + (2*t^8.98*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 |
|---|---|---|---|---|---|---|---|---|
| 4366 | $M_1q_1q_2$ + $ 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_5M_7$ + $ M_4M_8$ | 0.6914 | 0.8476 | 0.8157 | [X:[], M:[1.0, 1.0002, 0.9996, 0.9992, 1.0004, 1.0008, 0.9996, 1.0008], q:[0.5008, 0.4992], qb:[0.5, 0.5004], phi:[0.4999]] | 7*t^3. + 10*t^4.5 + 8*t^6. - t^4.5/y - t^4.5*y | detail | |
| 4369 | $M_1q_1q_2$ + $ 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_5M_7$ + $ M_6M_8$ | 0.6961 | 0.8543 | 0.8148 | [X:[], M:[1.0, 1.0123, 0.9754, 0.9508, 1.0246, 1.0492, 0.9754, 0.9508], q:[0.5492, 0.4508], qb:[0.5, 0.5246], phi:[0.4939]] | 2*t^2.85 + 2*t^2.93 + t^3. + t^3.04 + t^3.22 + t^4.19 + t^4.33 + t^4.41 + 2*t^4.48 + t^4.56 + 2*t^4.63 + t^4.7 + t^4.78 + 2*t^5.7 + 3*t^5.78 + 3*t^5.85 + 2*t^5.89 + 2*t^5.96 - 3*t^6. - t^4.48/y - t^4.48*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 |
|---|---|---|---|---|---|---|---|---|---|
| 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 |