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 |
|---|---|---|---|---|---|---|---|---|---|
| 4490 | 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$ + $ M_2\phi_1^2$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_6$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ | 0.731 | 0.9201 | 0.7945 | [X:[], M:[0.9227, 1.0258, 1.0773, 0.8712, 0.9227, 0.9742, 0.9227, 0.6932], q:[0.5129, 0.5644], qb:[0.4098, 0.5644], phi:[0.4871]] | [X:[], M:[[-6], [2], [6], [-10], [-6], [-2], [-6], [15]], q:[[1], [5]], qb:[[-7], [5]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ M_4$, $ M_1$, $ M_5$, $ M_7$, $ M_6$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ M_8^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_4M_8$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_8$, $ M_5M_8$, $ M_7M_8$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_6M_8$, $ M_8\phi_1^2$, $ M_8q_2\tilde{q}_1$, $ M_4^2$, $ M_1M_4$, $ M_4M_5$, $ M_4M_7$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ M_4M_6$, $ M_1M_7$, $ M_5M_7$, $ M_7^2$, $ M_4\phi_1^2$, $ M_4q_2\tilde{q}_1$, $ M_1M_6$, $ M_5M_6$, $ M_6M_7$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ M_7\phi_1^2$, $ M_5q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_1$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ M_6q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$ | . | -6 | t^2.08 + t^2.61 + 3*t^2.77 + 3*t^2.92 + t^4.16 + t^4.23 + 2*t^4.38 + t^4.54 + 3*t^4.69 + 6*t^4.85 + 3*t^5. + t^5.23 + 3*t^5.38 + 7*t^5.54 + 8*t^5.69 + 4*t^5.85 - 6*t^6. - 3*t^6.15 + t^6.24 + t^6.62 + 3*t^6.77 + t^6.84 + 6*t^6.93 + 2*t^7. + 3*t^7.08 + 7*t^7.15 + 8*t^7.31 + 6*t^7.46 + 14*t^7.62 + 12*t^7.77 + t^7.84 - 2*t^7.93 + 3*t^8. - 8*t^8.08 + 7*t^8.15 - 3*t^8.23 + 12*t^8.3 + t^8.32 + 13*t^8.46 + 6*t^8.61 + t^8.7 - 11*t^8.77 + 3*t^8.85 - 22*t^8.92 - t^4.46/y - t^6.54/y - t^7.07/y - (2*t^7.23)/y - t^7.38/y + t^7.54/y + (3*t^7.69)/y + (4*t^7.85)/y + (3*t^8.)/y + (4*t^8.38)/y + (6*t^8.54)/y - t^8.62/y + (9*t^8.69)/y + (3*t^8.85)/y - t^4.46*y - t^6.54*y - t^7.07*y - 2*t^7.23*y - t^7.38*y + t^7.54*y + 3*t^7.69*y + 4*t^7.85*y + 3*t^8.*y + 4*t^8.38*y + 6*t^8.54*y - t^8.62*y + 9*t^8.69*y + 3*t^8.85*y | g1^15*t^2.08 + t^2.61/g1^10 + (3*t^2.77)/g1^6 + (3*t^2.92)/g1^2 + g1^30*t^4.16 + t^4.23/g1^7 + (2*t^4.38)/g1^3 + g1*t^4.54 + 3*g1^5*t^4.69 + 6*g1^9*t^4.85 + 3*g1^13*t^5. + t^5.23/g1^20 + (3*t^5.38)/g1^16 + (7*t^5.54)/g1^12 + (8*t^5.69)/g1^8 + (4*t^5.85)/g1^4 - 6*t^6. - 3*g1^4*t^6.15 + g1^45*t^6.24 + g1^16*t^6.62 + 3*g1^20*t^6.77 + t^6.84/g1^17 + 6*g1^24*t^6.93 + (2*t^7.)/g1^13 + 3*g1^28*t^7.08 + (7*t^7.15)/g1^9 + (8*t^7.31)/g1^5 + (6*t^7.46)/g1 + 14*g1^3*t^7.62 + 12*g1^7*t^7.77 + t^7.84/g1^30 - 2*g1^11*t^7.93 + (3*t^8.)/g1^26 - 8*g1^15*t^8.08 + (7*t^8.15)/g1^22 - 3*g1^19*t^8.23 + (12*t^8.3)/g1^18 + g1^60*t^8.32 + (13*t^8.46)/g1^14 + (6*t^8.61)/g1^10 + g1^31*t^8.7 - (11*t^8.77)/g1^6 + 3*g1^35*t^8.85 - (22*t^8.92)/g1^2 - t^4.46/(g1*y) - (g1^14*t^6.54)/y - t^7.07/(g1^11*y) - (2*t^7.23)/(g1^7*y) - t^7.38/(g1^3*y) + (g1*t^7.54)/y + (3*g1^5*t^7.69)/y + (4*g1^9*t^7.85)/y + (3*g1^13*t^8.)/y + (4*t^8.38)/(g1^16*y) + (6*t^8.54)/(g1^12*y) - (g1^29*t^8.62)/y + (9*t^8.69)/(g1^8*y) + (3*t^8.85)/(g1^4*y) - (t^4.46*y)/g1 - g1^14*t^6.54*y - (t^7.07*y)/g1^11 - (2*t^7.23*y)/g1^7 - (t^7.38*y)/g1^3 + g1*t^7.54*y + 3*g1^5*t^7.69*y + 4*g1^9*t^7.85*y + 3*g1^13*t^8.*y + (4*t^8.38*y)/g1^16 + (6*t^8.54*y)/g1^12 - g1^29*t^8.62*y + (9*t^8.69*y)/g1^8 + (3*t^8.85*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 6007 | $M_1q_1q_2$ + $ 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$ + $ M_2\phi_1^2$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_6$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_6M_8$ + $ M_4X_1$ | 0.6135 | 0.7818 | 0.7848 | [X:[1.3846], M:[0.7692, 1.0769, 1.2308, 0.6154, 0.7692, 0.9231, 0.7692, 1.0769], q:[0.5385, 0.6923], qb:[0.2308, 0.6923], phi:[0.4615]] | 3*t^2.31 + 3*t^2.77 + t^3.23 + t^3.69 + 3*t^4.15 + 5*t^4.62 + 10*t^5.08 + 10*t^5.54 - 3*t^6. - t^4.38/y - t^4.38*y | detail | {a: 1659/2704, c: 1057/1352, X1: 18/13, M1: 10/13, M2: 14/13, M3: 16/13, M4: 8/13, M5: 10/13, M6: 12/13, M7: 10/13, M8: 14/13, q1: 7/13, q2: 9/13, qb1: 3/13, qb2: 9/13, phi1: 6/13} |
| 5994 | $M_1q_1q_2$ + $ 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$ + $ M_2\phi_1^2$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_6$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1\tilde{q}_1^2$ + $ M_8^2$ + $ M_4X_1$ | 0.6468 | 0.8177 | 0.7911 | [X:[1.3333], M:[0.8, 1.0667, 1.2, 0.6667, 0.8, 0.9333, 0.8, 1.0], q:[0.5333, 0.6667], qb:[0.2667, 0.6667], phi:[0.4667]] | 3*t^2.4 + 3*t^2.8 + t^3. + t^3.8 + t^4. + 2*t^4.2 + t^4.6 + 4*t^4.8 + 2*t^5. + 8*t^5.2 + 6*t^5.4 + 4*t^5.6 + 3*t^5.8 - 5*t^6. - t^4.4/y - t^4.4*y | detail | {a: 3881/6000, c: 2453/3000, X1: 4/3, M1: 4/5, M2: 16/15, M3: 6/5, M4: 2/3, M5: 4/5, M6: 14/15, M7: 4/5, M8: 1, q1: 8/15, q2: 2/3, qb1: 4/15, qb2: 2/3, 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 |
|---|---|---|---|---|---|---|---|---|---|
| 2446 | 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$ + $ M_2\phi_1^2$ + $ M_5q_1\tilde{q}_2$ + $ M_2M_6$ + $ M_7q_1\tilde{q}_2$ | 0.7105 | 0.8815 | 0.806 | [X:[], M:[0.9165, 1.0278, 1.0835, 0.8608, 0.9165, 0.9722, 0.9165], q:[0.5139, 0.5696], qb:[0.4026, 0.5696], phi:[0.4861]] | t^2.58 + 3*t^2.75 + 3*t^2.92 + t^3.87 + t^4.21 + 2*t^4.37 + t^4.54 + 2*t^4.71 + 3*t^4.88 + t^5.16 + 3*t^5.33 + 7*t^5.5 + 8*t^5.67 + 4*t^5.83 - 6*t^6. - t^4.46/y - t^4.46*y | detail |