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 |
|---|---|---|---|---|---|---|---|---|---|
| 4369 | 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$ + $ 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]] | [X:[], M:[[0], [2], [-4], [-8], [4], [8], [-4], [-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_8$, $ M_3$, $ M_7$, $ M_1$, $ M_2$, $ 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_8$, $ M_8^2$, $ M_3M_4$, $ M_4M_7$, $ M_3M_8$, $ M_7M_8$, $ M_3^2$, $ M_1M_4$, $ M_3M_7$, $ M_7^2$, $ M_1M_8$, $ M_2M_4$, $ M_2M_8$, $ M_2M_3$, $ M_2M_7$ | . | -3 | 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^6.04 + t^6.26 - t^6.3 + t^6.44 + 2*t^7.04 + 2*t^7.11 + 2*t^7.19 + 2*t^7.26 + 4*t^7.33 + 4*t^7.41 + 3*t^7.48 + 3*t^7.56 + 3*t^7.63 + 2*t^7.7 + t^7.85 + t^7.92 + t^8. + t^8.37 + t^8.52 + 2*t^8.56 + t^8.59 + 2*t^8.63 + 2*t^8.67 + 3*t^8.7 + 3*t^8.74 + t^8.78 + 6*t^8.82 - 6*t^8.85 + 5*t^8.89 - 7*t^8.93 + 4*t^8.96 - t^4.48/y - t^7.33/y - t^7.41/y + t^7.56/y + t^7.63/y + t^8.7/y + (4*t^8.78)/y + (3*t^8.85)/y + (2*t^8.89)/y + (2*t^8.93)/y + (2*t^8.96)/y - t^4.48*y - t^7.33*y - t^7.41*y + t^7.56*y + t^7.63*y + t^8.7*y + 4*t^8.78*y + 3*t^8.85*y + 2*t^8.89*y + 2*t^8.93*y + 2*t^8.96*y | (2*t^2.85)/g1^8 + (2*t^2.93)/g1^4 + t^3. + g1^2*t^3.04 + g1^12*t^3.22 + t^4.19/g1^17 + t^4.33/g1^9 + t^4.41/g1^5 + (2*t^4.48)/g1 + g1^3*t^4.56 + 2*g1^7*t^4.63 + g1^11*t^4.7 + g1^15*t^4.78 + (2*t^5.7)/g1^16 + (3*t^5.78)/g1^12 + (3*t^5.85)/g1^8 + (2*t^5.89)/g1^6 + (2*t^5.96)/g1^2 - 3*t^6. + g1^2*t^6.04 + g1^14*t^6.26 - g1^16*t^6.3 + g1^24*t^6.44 + (2*t^7.04)/g1^25 + (2*t^7.11)/g1^21 + (2*t^7.19)/g1^17 + (2*t^7.26)/g1^13 + (4*t^7.33)/g1^9 + (4*t^7.41)/g1^5 + (3*t^7.48)/g1 + 3*g1^3*t^7.56 + 3*g1^7*t^7.63 + 2*g1^11*t^7.7 + g1^19*t^7.85 + g1^23*t^7.92 + g1^27*t^8. + t^8.37/g1^34 + t^8.52/g1^26 + (2*t^8.56)/g1^24 + t^8.59/g1^22 + (2*t^8.63)/g1^20 + (2*t^8.67)/g1^18 + (3*t^8.7)/g1^16 + (3*t^8.74)/g1^14 + t^8.78/g1^12 + (6*t^8.82)/g1^10 - (6*t^8.85)/g1^8 + (5*t^8.89)/g1^6 - (7*t^8.93)/g1^4 + (4*t^8.96)/g1^2 - t^4.48/(g1*y) - t^7.33/(g1^9*y) - t^7.41/(g1^5*y) + (g1^3*t^7.56)/y + (g1^7*t^7.63)/y + t^8.7/(g1^16*y) + (4*t^8.78)/(g1^12*y) + (3*t^8.85)/(g1^8*y) + (2*t^8.89)/(g1^6*y) + (2*t^8.93)/(g1^4*y) + (2*t^8.96)/(g1^2*y) - (t^4.48*y)/g1 - (t^7.33*y)/g1^9 - (t^7.41*y)/g1^5 + g1^3*t^7.56*y + g1^7*t^7.63*y + (t^8.7*y)/g1^16 + (4*t^8.78*y)/g1^12 + (3*t^8.85*y)/g1^8 + (2*t^8.89*y)/g1^6 + (2*t^8.93*y)/g1^4 + (2*t^8.96*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 |
|---|---|---|---|---|---|---|---|---|
| 5835 | $M_1q_1q_2$ + $ 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$ + $ \phi_1q_1^2$ | 0.6012 | 0.7678 | 0.7829 | [X:[], M:[1.0, 1.0667, 0.8667, 0.7333, 1.1333, 1.2667, 0.8667, 0.7333], q:[0.7667, 0.2333], qb:[0.5, 0.6333], phi:[0.4667]] | 2*t^2.2 + 2*t^2.6 + t^2.8 + t^3. + t^3.2 + t^3.6 + t^4. + t^4.2 + 4*t^4.4 + 4*t^4.8 + 2*t^5. + 5*t^5.2 + 4*t^5.4 + 2*t^5.6 + 4*t^5.8 - 2*t^6. - t^4.4/y - t^4.4*y | detail | {a: 3607/6000, c: 4607/6000, M1: 1, M2: 16/15, M3: 13/15, M4: 11/15, M5: 17/15, M6: 19/15, M7: 13/15, M8: 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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | 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^4.49/y - t^4.49*y | detail |