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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [X:[], M:[[4], [-12], [-4], [1], [1]], 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_3$, $ \phi_1^2$, $ M_2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \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_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_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_4q_1\tilde{q}_1$, $ M_5q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_4q_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | . | -6 | 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^6.09 + 4*t^6.18 + 3*t^6.28 + 8*t^6.62 + 20*t^6.72 - 2*t^6.9 + t^7.43 + 18*t^7.52 + 12*t^7.61 + 4*t^8.05 + 10*t^8.15 - 24*t^8.24 + 4*t^8.33 + 12*t^8.42 + 8*t^8.51 + 5*t^8.77 + 14*t^8.86 + 34*t^8.95 - t^4.52/y - (2*t^6.76)/y + t^7.39/y + (7*t^7.48)/y - t^7.57/y - t^7.66/y + (10*t^8.28)/y + (8*t^8.38)/y + (8*t^8.91)/y - t^4.52*y - 2*t^6.76*y + t^7.39*y + 7*t^7.48*y - t^7.57*y - t^7.66*y + 10*t^8.28*y + 8*t^8.38*y + 8*t^8.91*y | 4*g1*t^2.24 + (2*t^3.05)/g1^4 + (2*t^3.14)/g1^12 + 2*g1^7*t^3.67 + 3*g1^10*t^4.39 + 10*g1^2*t^4.48 + (8*t^5.28)/g1^3 + (6*t^5.38)/g1^11 + 7*g1^8*t^5.91 - 6*t^6. + t^6.09/g1^8 + (4*t^6.18)/g1^16 + (3*t^6.28)/g1^24 + 8*g1^11*t^6.62 + 20*g1^3*t^6.72 - (2*t^6.9)/g1^13 + g1^6*t^7.43 + (18*t^7.52)/g1^2 + (12*t^7.61)/g1^10 + 4*g1^17*t^8.05 + 10*g1^9*t^8.15 - 24*g1*t^8.24 + (4*t^8.33)/g1^7 + (12*t^8.42)/g1^15 + (8*t^8.51)/g1^23 + 5*g1^20*t^8.77 + 14*g1^12*t^8.86 + 34*g1^4*t^8.95 - t^4.52/(g1^2*y) - (2*t^6.76)/(g1*y) + (g1^10*t^7.39)/y + (7*g1^2*t^7.48)/y - t^7.57/(g1^6*y) - t^7.66/(g1^14*y) + (10*t^8.28)/(g1^3*y) + (8*t^8.38)/(g1^11*y) + (8*g1^8*t^8.91)/y - (t^4.52*y)/g1^2 - (2*t^6.76*y)/g1 + g1^10*t^7.39*y + 7*g1^2*t^7.48*y - (t^7.57*y)/g1^6 - (t^7.66*y)/g1^14 + (10*t^8.28*y)/g1^3 + (8*t^8.38*y)/g1^11 + 8*g1^8*t^8.91*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 |
|---|---|---|---|---|---|---|---|---|
| 2028 | $M_1q_1q_2$ + $ 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]] | 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^4.51/y - t^4.51*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 |
|---|---|---|---|---|---|---|---|---|---|
| 542 | 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$ | 0.6062 | 0.7779 | 0.7793 | [X:[], M:[0.9855, 1.0434, 1.0145, 0.7464], q:[0.7464, 0.2681], qb:[0.4783, 0.4783], phi:[0.5072]] | 3*t^2.24 + 2*t^3.04 + 2*t^3.13 + 2*t^3.67 + t^3.76 + 3*t^4.39 + 6*t^4.48 + 6*t^5.28 + 4*t^5.37 + 5*t^5.91 - 3*t^6. - t^4.52/y - t^4.52*y | detail |