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 |
|---|---|---|---|---|---|---|---|---|---|
| 2028 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ | 0.6435 | 0.8457 | 0.7609 | [X:[], M:[0.9916, 1.0252, 1.0084, 0.7479, 0.7479, 0.7647], q:[0.7479, 0.2605], qb:[0.4874, 0.4874], phi:[0.5042]] | [X:[], M:[[4], [-12], [-4], [1], [1], [-7]], q:[[1], [-5]], qb:[[6], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_6$, $ M_3$, $ \phi_1^2$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4M_5$, $ M_5^2$, $ M_4q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_4q_2\tilde{q}_2$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4M_6$, $ M_5M_6$, $ \phi_1q_1q_2$, $ M_6q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ M_6^2$, $ M_3M_4$, $ M_3M_5$, $ M_4\phi_1^2$, $ M_5\phi_1^2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_2M_4$, $ M_2M_5$, $ M_3M_6$, $ M_6\phi_1^2$, $ M_4\phi_1q_2^2$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2M_6$, $ M_6\phi_1q_2^2$, $ M_4q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$ | $M_6q_1\tilde{q}_1$ | -5 | 4*t^2.24 + t^2.29 + 2*t^3.03 + 2*t^3.08 + t^3.71 + 3*t^4.44 + 10*t^4.49 + 4*t^4.54 + t^4.59 + 8*t^5.27 + 8*t^5.32 + 2*t^5.37 + 3*t^5.95 - 5*t^6. + t^6.05 + 4*t^6.1 + 3*t^6.15 + 8*t^6.68 + 21*t^6.73 + 8*t^6.78 + 2*t^6.83 + t^6.88 - 2*t^7.41 + t^7.46 + 18*t^7.51 + 20*t^7.56 + 8*t^7.61 + 2*t^7.66 + t^8.14 - 21*t^8.24 - t^8.29 + 13*t^8.34 + 12*t^8.4 + 3*t^8.45 + 5*t^8.87 + 14*t^8.92 + 34*t^8.97 - t^4.51/y - (2*t^6.76)/y - t^6.81/y + t^7.44/y + (7*t^7.49)/y + (3*t^7.54)/y - t^7.59/y + t^8.22/y + (10*t^8.27)/y + (10*t^8.32)/y + (2*t^8.37)/y + (4*t^8.95)/y - t^4.51*y - 2*t^6.76*y - t^6.81*y + t^7.44*y + 7*t^7.49*y + 3*t^7.54*y - t^7.59*y + t^8.22*y + 10*t^8.27*y + 10*t^8.32*y + 2*t^8.37*y + 4*t^8.95*y | 4*g1*t^2.24 + t^2.29/g1^7 + (2*t^3.03)/g1^4 + (2*t^3.08)/g1^12 + g1^7*t^3.71 + 3*g1^10*t^4.44 + 10*g1^2*t^4.49 + (4*t^4.54)/g1^6 + t^4.59/g1^14 + (8*t^5.27)/g1^3 + (8*t^5.32)/g1^11 + (2*t^5.37)/g1^19 + 3*g1^8*t^5.95 - 5*t^6. + t^6.05/g1^8 + (4*t^6.1)/g1^16 + (3*t^6.15)/g1^24 + 8*g1^11*t^6.68 + 21*g1^3*t^6.73 + (8*t^6.78)/g1^5 + (2*t^6.83)/g1^13 + t^6.88/g1^21 - 2*g1^14*t^7.41 + g1^6*t^7.46 + (18*t^7.51)/g1^2 + (20*t^7.56)/g1^10 + (8*t^7.61)/g1^18 + (2*t^7.66)/g1^26 + g1^17*t^8.14 - 21*g1*t^8.24 - t^8.29/g1^7 + (13*t^8.34)/g1^15 + (12*t^8.4)/g1^23 + (3*t^8.45)/g1^31 + 5*g1^20*t^8.87 + 14*g1^12*t^8.92 + 34*g1^4*t^8.97 - t^4.51/(g1^2*y) - (2*t^6.76)/(g1*y) - t^6.81/(g1^9*y) + (g1^10*t^7.44)/y + (7*g1^2*t^7.49)/y + (3*t^7.54)/(g1^6*y) - t^7.59/(g1^14*y) + (g1^5*t^8.22)/y + (10*t^8.27)/(g1^3*y) + (10*t^8.32)/(g1^11*y) + (2*t^8.37)/(g1^19*y) + (4*g1^8*t^8.95)/y - (t^4.51*y)/g1^2 - (2*t^6.76*y)/g1 - (t^6.81*y)/g1^9 + g1^10*t^7.44*y + 7*g1^2*t^7.49*y + (3*t^7.54*y)/g1^6 - (t^7.59*y)/g1^14 + g1^5*t^8.22*y + (10*t^8.27*y)/g1^3 + (10*t^8.32*y)/g1^11 + (2*t^8.37*y)/g1^19 + 4*g1^8*t^8.95*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 3093 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6q_1\tilde{q}_2$ + $ M_2M_6$ | 0.6311 | 0.8285 | 0.7618 | [X:[], M:[0.9474, 1.1579, 1.0526, 0.7368, 0.7368, 0.8421], q:[0.7368, 0.3158], qb:[0.4211, 0.4211], phi:[0.5263]] | 4*t^2.21 + t^2.53 + 2*t^3.16 + 3*t^3.47 + 3*t^4.11 + 10*t^4.42 + 4*t^4.74 + t^5.05 + 8*t^5.37 + 11*t^5.68 - 3*t^6. - t^4.58/y - t^4.58*y | detail | {a: 4329/6859, c: 22731/27436, M1: 18/19, M2: 22/19, M3: 20/19, M4: 14/19, M5: 14/19, M6: 16/19, q1: 14/19, q2: 6/19, qb1: 8/19, qb2: 8/19, phi1: 10/19} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 852 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_4\phi_1q_2\tilde{q}_2$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6254 | 0.8129 | 0.7694 | [X:[], M:[0.9847, 1.0459, 1.0153, 0.7462, 0.7462], q:[0.7462, 0.2691], qb:[0.477, 0.477], phi:[0.5077]] | 4*t^2.24 + 2*t^3.05 + 2*t^3.14 + 2*t^3.67 + 3*t^4.39 + 10*t^4.48 + 8*t^5.28 + 6*t^5.38 + 7*t^5.91 - 6*t^6. - t^4.52/y - t^4.52*y | detail |