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 |
|---|---|---|---|---|---|---|---|---|---|
| 46206 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_1^2$ | 0.6895 | 0.8745 | 0.7885 | [X:[], M:[0.6972, 0.6907, 0.6929, 0.6972], q:[0.4798, 0.823], qb:[0.8295, 0.4777], phi:[0.3475]] | [X:[], M:[[1, -7], [-8, -4], [-5, -5], [1, -7]], q:[[3, 4], [-4, 3]], qb:[[5, 0], [0, 5]], phi:[[-1, -3]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_3$, $ M_1$, $ M_4$, $ \phi_1^2$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1^2$, $ M_2^2$, $ M_2M_3$, $ M_1M_2$, $ M_2M_4$, $ M_3\phi_1^2$, $ M_3^2$, $ M_2\phi_1^2$, $ M_1M_3$, $ M_3M_4$, $ \phi_1^4$, $ M_1^2$, $ M_1M_4$, $ M_4^2$, $ M_1\phi_1^2$, $ M_4\phi_1^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ M_3q_1\tilde{q}_2$, $ M_4q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_2$, $ q_1^2\tilde{q}_2^2$, $ M_2q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_3q_2\tilde{q}_2$, $ M_3\phi_1q_1\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$ | $\phi_1^3q_1\tilde{q}_2$ | -1 | t^2.07 + t^2.08 + 3*t^2.09 + t^2.87 + t^3.9 + t^3.91 + t^3.92 + t^4.14 + t^4.15 + 5*t^4.16 + 3*t^4.17 + 5*t^4.18 + t^4.94 + t^4.95 + 4*t^4.96 + t^5.74 + t^5.97 + t^5.98 + 3*t^5.99 - t^6. + 2*t^6.01 + 2*t^6.22 + 2*t^6.23 + 8*t^6.24 + 5*t^6.25 + 11*t^6.26 + 7*t^6.27 + t^6.77 + 2*t^6.79 + 2*t^7.02 + 2*t^7.03 + 4*t^7.04 + 2*t^7.05 + 2*t^7.06 + t^7.8 + t^7.82 + t^7.84 + 2*t^8.05 + 2*t^8.06 + 2*t^8.07 - 2*t^8.08 - 4*t^8.09 + t^8.1 + t^8.29 + 3*t^8.3 + 9*t^8.31 + 6*t^8.32 + 17*t^8.33 + 9*t^8.34 + 16*t^8.35 + 4*t^8.36 + 5*t^8.37 + t^8.62 + 2*t^8.85 + t^8.86 - 2*t^8.87 - t^4.04/y - t^6.11/y - t^6.12/y - (3*t^6.13)/y + t^7.15/y + (4*t^7.16)/y + (2*t^7.17)/y + (3*t^7.18)/y + t^7.94/y + (3*t^7.95)/y + (5*t^7.96)/y + t^7.97/y - (2*t^8.19)/y - (2*t^8.2)/y - (6*t^8.21)/y - (2*t^8.22)/y - (3*t^8.23)/y + t^8.97/y + t^8.98/y + (6*t^8.99)/y - t^4.04*y - t^6.11*y - t^6.12*y - 3*t^6.13*y + t^7.15*y + 4*t^7.16*y + 2*t^7.17*y + 3*t^7.18*y + t^7.94*y + 3*t^7.95*y + 5*t^7.96*y + t^7.97*y - 2*t^8.19*y - 2*t^8.2*y - 6*t^8.21*y - 2*t^8.22*y - 3*t^8.23*y + t^8.97*y + t^8.98*y + 6*t^8.99*y | t^2.07/(g1^8*g2^4) + t^2.08/(g1^5*g2^5) + (2*g1*t^2.09)/g2^7 + t^2.09/(g1^2*g2^6) + g1^3*g2^9*t^2.87 + (g2^8*t^3.9)/g1^4 + g1^2*g2^6*t^3.91 + g1^5*g2^5*t^3.92 + t^4.14/(g1^16*g2^8) + t^4.15/(g1^13*g2^9) + (3*t^4.16)/(g1^7*g2^11) + (2*t^4.16)/(g1^10*g2^10) + (3*t^4.17)/(g1^4*g2^12) + (3*g1^2*t^4.18)/g2^14 + (2*t^4.18)/(g1*g2^13) + (g2^5*t^4.94)/g1^5 + (g2^4*t^4.95)/g1^2 + 2*g1^4*g2^2*t^4.96 + 2*g1*g2^3*t^4.96 + g1^6*g2^18*t^5.74 + (g2^4*t^5.97)/g1^12 + (g2^3*t^5.98)/g1^9 + (2*g2*t^5.99)/g1^3 + (g2^2*t^5.99)/g1^6 - t^6. + (g1^6*t^6.01)/g2^2 + (g1^3*t^6.01)/g2 + t^6.22/(g1^21*g2^13) + t^6.22/(g1^24*g2^12) + (2*t^6.23)/(g1^18*g2^14) + (4*t^6.24)/(g1^12*g2^16) + (4*t^6.24)/(g1^15*g2^15) + (5*t^6.25)/(g1^9*g2^17) + (5*t^6.26)/(g1^3*g2^19) + (6*t^6.26)/(g1^6*g2^18) + (4*g1^3*t^6.27)/g2^21 + (3*t^6.27)/g2^20 + (g2^17*t^6.77)/g1 + g1^8*g2^14*t^6.79 + g1^5*g2^15*t^6.79 + t^7.02/g1^10 + (g2*t^7.02)/g1^13 + (2*t^7.03)/(g1^7*g2) + (2*t^7.04)/(g1*g2^3) + (2*t^7.04)/(g1^4*g2^2) + (2*g1^2*t^7.05)/g2^4 + (2*g1^5*t^7.06)/g2^5 + (g2^16*t^7.8)/g1^8 + (g2^14*t^7.82)/g1^2 + g1^7*g2^11*t^7.84 + t^8.05/g1^20 + t^8.05/(g1^17*g2) + (2*t^8.06)/(g1^14*g2^2) + (2*t^8.07)/(g1^11*g2^3) - (2*t^8.08)/(g1^5*g2^5) - (4*g1*t^8.09)/g2^7 + (g1^7*t^8.1)/g2^9 + t^8.29/(g1^32*g2^16) + (2*t^8.3)/(g1^26*g2^18) + t^8.3/(g1^29*g2^17) + (5*t^8.31)/(g1^20*g2^20) + (4*t^8.31)/(g1^23*g2^19) + (6*t^8.32)/(g1^17*g2^21) + (8*t^8.33)/(g1^11*g2^23) + (9*t^8.33)/(g1^14*g2^22) + (9*t^8.34)/(g1^8*g2^24) + (7*t^8.35)/(g1^2*g2^26) + (9*t^8.35)/(g1^5*g2^25) + (4*g1*t^8.36)/g2^27 + (5*g1^4*t^8.37)/g2^28 + g1^9*g2^27*t^8.62 + (g2^12*t^8.85)/g1^6 + (g2^13*t^8.85)/g1^9 + (g2^11*t^8.86)/g1^3 - 2*g1^3*g2^9*t^8.87 - t^4.04/(g1*g2^3*y) - t^6.11/(g1^9*g2^7*y) - t^6.12/(g1^6*g2^8*y) - (2*t^6.13)/(g2^10*y) - t^6.13/(g1^3*g2^9*y) + t^7.15/(g1^13*g2^9*y) + (3*t^7.16)/(g1^7*g2^11*y) + t^7.16/(g1^10*g2^10*y) + (2*t^7.17)/(g1^4*g2^12*y) + (g1^2*t^7.18)/(g2^14*y) + (2*t^7.18)/(g1*g2^13*y) + (g2^5*t^7.94)/(g1^5*y) + (3*g2^4*t^7.95)/(g1^2*y) + (3*g1^4*g2^2*t^7.96)/y + (2*g1*g2^3*t^7.96)/y + (g1^7*g2*t^7.97)/y - t^8.19/(g1^14*g2^12*y) - t^8.19/(g1^17*g2^11*y) - (2*t^8.2)/(g1^11*g2^13*y) - (3*t^8.21)/(g1^5*g2^15*y) - (3*t^8.21)/(g1^8*g2^14*y) - (2*t^8.22)/(g1^2*g2^16*y) - (3*g1*t^8.23)/(g2^17*y) + (g2^4*t^8.97)/(g1^12*y) + (g2^3*t^8.98)/(g1^9*y) + (4*g2*t^8.99)/(g1^3*y) + (2*g2^2*t^8.99)/(g1^6*y) - (t^4.04*y)/(g1*g2^3) - (t^6.11*y)/(g1^9*g2^7) - (t^6.12*y)/(g1^6*g2^8) - (2*t^6.13*y)/g2^10 - (t^6.13*y)/(g1^3*g2^9) + (t^7.15*y)/(g1^13*g2^9) + (3*t^7.16*y)/(g1^7*g2^11) + (t^7.16*y)/(g1^10*g2^10) + (2*t^7.17*y)/(g1^4*g2^12) + (g1^2*t^7.18*y)/g2^14 + (2*t^7.18*y)/(g1*g2^13) + (g2^5*t^7.94*y)/g1^5 + (3*g2^4*t^7.95*y)/g1^2 + 3*g1^4*g2^2*t^7.96*y + 2*g1*g2^3*t^7.96*y + g1^7*g2*t^7.97*y - (t^8.19*y)/(g1^14*g2^12) - (t^8.19*y)/(g1^17*g2^11) - (2*t^8.2*y)/(g1^11*g2^13) - (3*t^8.21*y)/(g1^5*g2^15) - (3*t^8.21*y)/(g1^8*g2^14) - (2*t^8.22*y)/(g1^2*g2^16) - (3*g1*t^8.23*y)/g2^17 + (g2^4*t^8.97*y)/g1^12 + (g2^3*t^8.98*y)/g1^9 + (4*g2*t^8.99*y)/g1^3 + (2*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 |
|---|---|---|---|---|---|---|---|---|
| 46597 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_2^2$ + $ M_3\phi_1q_1^2$ + $ M_2M_3$ | 0.6029 | 0.7691 | 0.7839 | [X:[], M:[0.6807, 1.0639, 0.9361, 0.6807], q:[0.3298, 0.9895], qb:[0.6063, 0.4575], phi:[0.4042]] | 2*t^2.04 + t^2.36 + t^2.43 + t^2.81 + 2*t^3.19 + t^3.57 + 3*t^4.08 + t^4.34 + 2*t^4.4 + 2*t^4.47 + t^4.72 + 2*t^4.79 + 3*t^4.85 + t^5.17 + 4*t^5.23 + 2*t^5.55 + 3*t^5.62 + t^5.94 - t^4.21/y - t^4.21*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46029 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ \phi_1q_2\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4\phi_1\tilde{q}_2^2$ | 0.6895 | 0.8748 | 0.7882 | [X:[], M:[0.7027, 0.692, 0.6884, 0.692], q:[0.4765, 0.8207], qb:[0.8315, 0.4801], phi:[0.3478]] | t^2.07 + 2*t^2.08 + t^2.09 + t^2.11 + t^2.87 + 2*t^3.9 + t^3.91 + t^4.13 + 2*t^4.14 + 4*t^4.15 + 2*t^4.16 + 2*t^4.17 + 2*t^4.18 + t^4.19 + t^4.22 + t^4.94 + 2*t^4.95 + 2*t^4.96 + t^4.98 + t^5.74 + 2*t^5.97 + 4*t^5.98 + 2*t^5.99 - 2*t^6. - t^4.04/y - t^4.04*y | detail |