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 |
|---|---|---|---|---|---|---|---|---|---|
| 45957 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ | 0.6689 | 0.8347 | 0.8014 | [X:[], M:[0.7027, 0.6964, 0.6943], q:[0.4751, 0.8222], qb:[0.8285, 0.4772], phi:[0.3492]] | [X:[], M:[[8, -8], [-1, -5], [-4, -4]], q:[[-3, 5], [-5, 3]], qb:[[4, 0], [0, 4]], phi:[[1, -3]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_3$, $ M_2$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2M_3$, $ M_3^2$, $ M_2\phi_1^2$, $ M_2^2$, $ M_3\phi_1^2$, $ M_1M_3$, $ \phi_1^4$, $ M_1\phi_1^2$, $ M_1M_2$, $ M_1^2$, $ \phi_1q_1q_2$, $ M_3q_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ M_3\phi_1q_1^2$, $ \phi_1q_2^2$, $ M_3q_2\tilde{q}_2$, $ \phi_1^3q_1^2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_3\phi_1\tilde{q}_2^2$, $ M_3\phi_1q_1\tilde{q}_2$, $ M_2q_2\tilde{q}_2$ | $\phi_1^3q_1\tilde{q}_2$ | -1 | t^2.08 + t^2.09 + t^2.1 + t^2.11 + t^2.86 + 3*t^3.9 + t^3.91 + 2*t^4.17 + 3*t^4.18 + 2*t^4.19 + 2*t^4.2 + t^4.22 + t^4.94 + 3*t^4.95 + t^4.96 + t^5.71 + 2*t^5.98 + 4*t^5.99 - t^6. + t^6.01 + t^6.02 + 2*t^6.25 + 2*t^6.26 + 5*t^6.27 + 2*t^6.28 + 4*t^6.29 + 2*t^6.3 + 2*t^6.31 + t^6.32 + 3*t^6.76 + t^6.77 + t^7.02 + t^7.03 + 2*t^7.04 + t^7.06 + t^7.07 + 4*t^7.8 + 2*t^7.81 + 2*t^8.06 + 2*t^8.07 + 2*t^8.08 - t^8.1 - t^8.11 + t^8.13 + t^8.33 + 3*t^8.34 + 2*t^8.35 + 7*t^8.36 + 4*t^8.37 + 7*t^8.38 + 5*t^8.39 + t^8.4 + 3*t^8.41 + t^8.42 + t^8.43 + t^8.57 + 3*t^8.84 + 2*t^8.85 - 2*t^8.86 - t^8.87 + t^8.88 - t^4.05/y - t^6.13/y - (2*t^6.14)/y - t^6.16/y + t^7.17/y + (2*t^7.18)/y + t^7.19/y + (2*t^7.2)/y + (2*t^7.94)/y + (3*t^7.95)/y + (3*t^7.96)/y - t^8.21/y - t^8.22/y - (3*t^8.23)/y - (3*t^8.24)/y - t^8.25/y - t^8.26/y + (2*t^8.98)/y + (7*t^8.99)/y - t^4.05*y - t^6.13*y - 2*t^6.14*y - t^6.16*y + t^7.17*y + 2*t^7.18*y + t^7.19*y + 2*t^7.2*y + 2*t^7.94*y + 3*t^7.95*y + 3*t^7.96*y - t^8.21*y - t^8.22*y - 3*t^8.23*y - 3*t^8.24*y - t^8.25*y - t^8.26*y + 2*t^8.98*y + 7*t^8.99*y | t^2.08/(g1^4*g2^4) + t^2.09/(g1*g2^5) + (g1^2*t^2.1)/g2^6 + (g1^8*t^2.11)/g2^8 + (g2^9*t^2.86)/g1^3 + (g2^6*t^3.9)/g1^2 + (2*g2^7*t^3.9)/g1^5 + g1*g2^5*t^3.91 + t^4.17/(g1^5*g2^9) + t^4.17/(g1^8*g2^8) + (g1*t^4.18)/g2^11 + (2*t^4.18)/(g1^2*g2^10) + (2*g1^4*t^4.19)/g2^12 + (g1^10*t^4.2)/g2^14 + (g1^7*t^4.2)/g2^13 + (g1^16*t^4.22)/g2^16 + (g2^5*t^4.94)/g1^7 + (2*g2^3*t^4.95)/g1 + (g2^4*t^4.95)/g1^4 + g1^5*g2*t^4.96 + (g2^18*t^5.71)/g1^6 + (2*g2^3*t^5.98)/g1^9 + (2*g2*t^5.99)/g1^3 + (2*g2^2*t^5.99)/g1^6 - t^6. + (g1^3*t^6.01)/g2 + (g1^9*t^6.02)/g2^3 + t^6.25/(g1^9*g2^13) + t^6.25/(g1^12*g2^12) + (2*t^6.26)/(g1^6*g2^14) + (3*t^6.27)/g2^16 + (2*t^6.27)/(g1^3*g2^15) + (2*g1^3*t^6.28)/g2^17 + (g1^9*t^6.29)/g2^19 + (3*g1^6*t^6.29)/g2^18 + (2*g1^12*t^6.3)/g2^20 + (g1^18*t^6.31)/g2^22 + (g1^15*t^6.31)/g2^21 + (g1^24*t^6.32)/g2^24 + (g2^15*t^6.76)/g1^5 + (2*g2^16*t^6.76)/g1^8 + (g2^14*t^6.77)/g1^2 + (g2*t^7.02)/g1^11 + t^7.03/g1^8 + (2*t^7.04)/(g1^5*g2) - (g1^4*t^7.05)/g2^4 + (g1*t^7.05)/g2^3 + (g1^7*t^7.06)/g2^5 + (g1^13*t^7.07)/g2^7 + (g2^13*t^7.8)/g1^7 + (3*g2^14*t^7.8)/g1^10 + (2*g2^12*t^7.81)/g1^4 + g1^2*g2^10*t^7.82 - (g2^11*t^7.82)/g1 + (2*t^8.06)/(g1^13*g2) + (2*t^8.07)/(g1^10*g2^2) - t^8.08/(g1^4*g2^4) + (3*t^8.08)/(g1^7*g2^3) - (g1^2*t^8.1)/g2^6 + (g1^11*t^8.11)/g2^9 - (2*g1^8*t^8.11)/g2^8 + (g1^17*t^8.13)/g2^11 + t^8.33/(g1^16*g2^16) + (2*t^8.34)/(g1^10*g2^18) + t^8.34/(g1^13*g2^17) + (2*t^8.35)/(g1^7*g2^19) + (3*t^8.36)/(g1*g2^21) + (4*t^8.36)/(g1^4*g2^20) + (4*g1^2*t^8.37)/g2^22 + (4*g1^8*t^8.38)/g2^24 + (3*g1^5*t^8.38)/g2^23 + (3*g1^14*t^8.39)/g2^26 + (2*g1^11*t^8.39)/g2^25 + (g1^17*t^8.4)/g2^27 + (g1^23*t^8.41)/g2^29 + (2*g1^20*t^8.41)/g2^28 + (g1^26*t^8.42)/g2^30 + (g1^32*t^8.43)/g2^32 + (g2^27*t^8.57)/g1^9 + (g2^11*t^8.84)/g1^9 + (2*g2^12*t^8.84)/g1^12 + (2*g2^10*t^8.85)/g1^6 - (2*g2^9*t^8.86)/g1^3 - g1^3*g2^7*t^8.87 + g1^6*g2^6*t^8.88 - (g1*t^4.05)/(g2^3*y) - t^6.13/(g1^3*g2^7*y) - (g1^3*t^6.14)/(g2^9*y) - t^6.14/(g2^8*y) - (g1^9*t^6.16)/(g2^11*y) + t^7.17/(g1^5*g2^9*y) + (g1*t^7.18)/(g2^11*y) + t^7.18/(g1^2*g2^10*y) + (g1^4*t^7.19)/(g2^12*y) + (g1^10*t^7.2)/(g2^14*y) + (g1^7*t^7.2)/(g2^13*y) + (2*g2^5*t^7.94)/(g1^7*y) + (2*g2^3*t^7.95)/(g1*y) + (g2^4*t^7.95)/(g1^4*y) + (2*g1^5*g2*t^7.96)/y + (g1^2*g2^2*t^7.96)/y - t^8.21/(g1^7*g2^11*y) - t^8.22/(g1^4*g2^12*y) - (g1^2*t^8.23)/(g2^14*y) - (2*t^8.23)/(g1*g2^13*y) - (g1^8*t^8.24)/(g2^16*y) - (2*g1^5*t^8.24)/(g2^15*y) - (g1^11*t^8.25)/(g2^17*y) - (g1^17*t^8.26)/(g2^19*y) + (2*g2^3*t^8.98)/(g1^9*y) + (4*g2*t^8.99)/(g1^3*y) + (3*g2^2*t^8.99)/(g1^6*y) - (g1*t^4.05*y)/g2^3 - (t^6.13*y)/(g1^3*g2^7) - (g1^3*t^6.14*y)/g2^9 - (t^6.14*y)/g2^8 - (g1^9*t^6.16*y)/g2^11 + (t^7.17*y)/(g1^5*g2^9) + (g1*t^7.18*y)/g2^11 + (t^7.18*y)/(g1^2*g2^10) + (g1^4*t^7.19*y)/g2^12 + (g1^10*t^7.2*y)/g2^14 + (g1^7*t^7.2*y)/g2^13 + (2*g2^5*t^7.94*y)/g1^7 + (2*g2^3*t^7.95*y)/g1 + (g2^4*t^7.95*y)/g1^4 + 2*g1^5*g2*t^7.96*y + g1^2*g2^2*t^7.96*y - (t^8.21*y)/(g1^7*g2^11) - (t^8.22*y)/(g1^4*g2^12) - (g1^2*t^8.23*y)/g2^14 - (2*t^8.23*y)/(g1*g2^13) - (g1^8*t^8.24*y)/g2^16 - (2*g1^5*t^8.24*y)/g2^15 - (g1^11*t^8.25*y)/g2^17 - (g1^17*t^8.26*y)/g2^19 + (2*g2^3*t^8.98*y)/g1^9 + (4*g2*t^8.99*y)/g1^3 + (3*g2^2*t^8.99*y)/g1^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46156 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1^2$ | 0.6484 | 0.7955 | 0.8151 | [X:[], M:[0.7076, 0.7005, 0.6981, 1.2971], q:[0.4717, 0.8207], qb:[0.8279, 0.474], phi:[0.3514]] | t^2.09 + t^2.1 + t^2.12 + t^2.84 + 2*t^3.88 + 2*t^3.89 + t^3.9 + t^4.19 + 2*t^4.2 + 2*t^4.22 + t^4.25 + t^4.93 + t^4.94 + t^4.95 + t^4.96 + t^5.67 + 2*t^5.98 + 4*t^5.99 - 2*t^6. - t^4.05/y - t^4.05*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 |
|---|---|---|---|---|---|---|---|---|---|
| 45927 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ | 0.6484 | 0.7955 | 0.815 | [X:[], M:[0.6966, 0.7061], q:[0.4744, 0.829], qb:[0.8195, 0.4712], phi:[0.3515]] | t^2.09 + t^2.11 + t^2.12 + t^2.84 + t^3.87 + t^3.88 + t^3.89 + 2*t^3.9 + t^4.18 + t^4.2 + t^4.21 + t^4.22 + t^4.23 + t^4.24 + t^4.93 + 2*t^4.95 + t^4.96 + t^5.67 + t^5.96 + t^5.97 + t^5.98 + 2*t^5.99 - t^6. - t^4.05/y - t^4.05*y | detail |