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 |
|---|---|---|---|---|---|---|---|---|---|
| 1831 | 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_3\phi_1^2$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ | 0.6977 | 0.8713 | 0.8008 | [X:[], M:[0.9913, 0.7877, 1.1105, 0.6686, 0.8895], q:[0.4549, 0.5538], qb:[0.4346, 0.7776], phi:[0.4448]] | [X:[], M:[[1, -7], [-1, -1], [0, 4], [0, -12], [0, -4]], q:[[-1, -4], [0, 11]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_2$, $ M_5$, $ \phi_1^2$, $ M_1$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4^2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_2M_4$, $ \phi_1q_2^2$, $ M_4M_5$, $ M_4\phi_1^2$, $ M_2^2$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_4$, $ M_2M_5$, $ M_2\phi_1^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_1M_2$, $ M_5^2$, $ M_5\phi_1^2$, $ \phi_1^4$, $ M_5q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_1M_5$, $ M_1\phi_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_1^2$, $ M_4\phi_1\tilde{q}_1^2$ | . | -3 | t^2.01 + t^2.36 + 2*t^2.67 + 2*t^2.97 + t^3.7 + t^3.94 + t^4. + t^4.01 + t^4.06 + t^4.3 + t^4.36 + t^4.37 + t^4.66 + 2*t^4.67 + t^4.73 + t^4.97 + t^4.98 + 2*t^5.03 + t^5.33 + 4*t^5.34 + 2*t^5.63 + t^5.64 + t^5.93 + 2*t^5.95 - 3*t^6. + t^6.01 + t^6.02 + t^6.07 - t^6.3 + t^6.31 - t^6.36 + 4*t^6.37 + t^6.43 + 2*t^6.61 + t^6.66 + 2*t^6.67 + 2*t^6.68 + t^6.72 + 3*t^6.73 + t^6.91 + t^6.92 + t^6.97 + t^6.98 + t^6.99 + t^7.02 + t^7.03 + 2*t^7.04 + t^7.09 + t^7.26 - t^7.27 + t^7.33 + 4*t^7.34 + t^7.4 + t^7.62 - t^7.63 + 2*t^7.64 + t^7.65 - t^7.69 + 4*t^7.7 + t^7.76 + t^7.88 + 3*t^7.95 - t^7.99 + t^8. + 4*t^8.01 + t^8.02 + t^8.08 + t^8.13 + t^8.24 + 2*t^8.3 + 3*t^8.31 - 4*t^8.36 + t^8.37 + t^8.38 + t^8.42 + t^8.43 + 3*t^8.6 - t^8.61 + 3*t^8.62 - t^8.66 - 6*t^8.67 + 2*t^8.68 + 2*t^8.69 + t^8.73 + 3*t^8.74 + t^8.79 + t^8.9 + t^8.91 + 2*t^8.92 + t^8.96 - 6*t^8.97 + t^8.98 + t^8.99 - t^4.33/y - t^6.34/y - t^6.7/y - t^7./y - t^7.31/y + t^7.36/y + t^7.37/y + (3*t^7.67)/y + (2*t^7.97)/y + t^7.98/y + (2*t^8.03)/y + (2*t^8.33)/y + (2*t^8.34)/y - t^8.35/y + (2*t^8.63)/y + (2*t^8.64)/y + t^8.94/y + t^8.95/y - t^4.33*y - t^6.34*y - t^6.7*y - t^7.*y - t^7.31*y + t^7.36*y + t^7.37*y + 3*t^7.67*y + 2*t^7.97*y + t^7.98*y + 2*t^8.03*y + 2*t^8.33*y + 2*t^8.34*y - t^8.35*y + 2*t^8.63*y + 2*t^8.64*y + t^8.94*y + t^8.95*y | t^2.01/g2^12 + t^2.36/(g1*g2) + (2*t^2.67)/g2^4 + (g1*t^2.97)/g2^7 + g1*g2^11*t^2.97 + t^3.7/(g1*g2^3) + (g1^2*t^3.94)/g2^2 + t^4./g2^6 + t^4.01/g2^24 + t^4.06/(g1^2*g2^10) + g1*g2^9*t^4.3 + (g2^5*t^4.36)/g1 + t^4.37/(g1*g2^13) + g2^20*t^4.66 + (2*t^4.67)/g2^16 + t^4.73/(g1^2*g2^2) + (g1*t^4.97)/g2 + (g1*t^4.98)/g2^19 + (2*t^5.03)/(g1*g2^5) + g2^10*t^5.33 + (4*t^5.34)/g2^8 + 2*g1*g2^7*t^5.63 + (g1*t^5.64)/g2^11 + g1^2*g2^22*t^5.93 + (2*g1^2*t^5.95)/g2^14 - 3*t^6. + t^6.01/g2^18 + t^6.02/g2^36 + t^6.07/(g1^2*g2^22) - g1*g2^15*t^6.3 + (g1*t^6.31)/g2^3 - (g2^11*t^6.36)/g1 + t^6.37/(g1*g2^25) + (3*t^6.37)/(g1*g2^7) + t^6.43/(g1^3*g2^11) + (2*g1^2*t^6.61)/g2^6 + g2^8*t^6.66 + (2*t^6.67)/g2^10 + (2*t^6.68)/g2^28 + (g2^4*t^6.72)/g1^2 + (3*t^6.73)/(g1^2*g2^14) + g1^3*g2^9*t^6.91 + (g1^3*t^6.92)/g2^9 + g1*g2^5*t^6.97 + (g1*t^6.98)/g2^13 + (g1*t^6.99)/g2^31 + (g2^19*t^7.02)/g1 + (g2*t^7.03)/g1 + (2*t^7.04)/(g1*g2^17) + t^7.09/(g1^3*g2^3) + g1^2*g2^20*t^7.26 - g1^2*g2^2*t^7.27 - t^7.33/g2^2 + 2*g2^16*t^7.33 + (4*t^7.34)/g2^20 + t^7.4/(g1^2*g2^6) + g1*g2^31*t^7.62 - g1*g2^13*t^7.63 + (2*g1*t^7.64)/g2^5 + (g1*t^7.65)/g2^23 - (g2^9*t^7.69)/g1 + (4*t^7.7)/(g1*g2^9) + t^7.76/(g1^3*g2^13) + (g1^4*t^7.88)/g2^4 + (2*g1^2*t^7.95)/g2^26 + (g1^2*t^7.95)/g2^8 - g2^24*t^7.99 + g2^6*t^8. + t^8.01/g2^30 + (3*t^8.01)/g2^12 + t^8.02/g2^48 + t^8.08/(g1^2*g2^34) + t^8.13/(g1^4*g2^20) + g1^3*g2^7*t^8.24 + 2*g1*g2^3*t^8.3 + (3*g1*t^8.31)/g2^15 - (4*t^8.36)/(g1*g2) + t^8.37/(g1*g2^19) + t^8.38/(g1*g2^37) + t^8.42/(g1^3*g2^5) + t^8.43/(g1^3*g2^23) + 3*g1^2*g2^18*t^8.6 - g1^2*t^8.61 + (3*g1^2*t^8.62)/g2^18 - g2^14*t^8.66 - (6*t^8.67)/g2^4 + (2*t^8.68)/g2^22 + (2*t^8.69)/g2^40 + t^8.73/(g1^2*g2^8) + (3*t^8.74)/(g1^2*g2^26) + t^8.79/(g1^4*g2^12) + g1^3*g2^33*t^8.9 + (g1^3*t^8.91)/g2^3 + (2*g1^3*t^8.92)/g2^21 + g1*g2^29*t^8.96 - (g1*t^8.97)/g2^7 - 5*g1*g2^11*t^8.97 + (g1*t^8.98)/g2^25 + (g1*t^8.99)/g2^43 - t^4.33/(g2^2*y) - t^6.34/(g2^14*y) - t^6.7/(g1*g2^3*y) - t^7./(g2^6*y) - (g1*t^7.31)/(g2^9*y) + (g2^5*t^7.36)/(g1*y) + t^7.37/(g1*g2^13*y) + (2*t^7.67)/(g2^16*y) + (g2^2*t^7.67)/y + (2*g1*t^7.97)/(g2*y) + (g1*t^7.98)/(g2^19*y) + (2*t^8.03)/(g1*g2^5*y) + (2*g2^10*t^8.33)/y + (2*t^8.34)/(g2^8*y) - t^8.35/(g2^26*y) + (2*g1*g2^7*t^8.63)/y + (2*g1*t^8.64)/(g2^11*y) + (g1^2*g2^4*t^8.94)/y + (g1^2*t^8.95)/(g2^14*y) - (t^4.33*y)/g2^2 - (t^6.34*y)/g2^14 - (t^6.7*y)/(g1*g2^3) - (t^7.*y)/g2^6 - (g1*t^7.31*y)/g2^9 + (g2^5*t^7.36*y)/g1 + (t^7.37*y)/(g1*g2^13) + (2*t^7.67*y)/g2^16 + g2^2*t^7.67*y + (2*g1*t^7.97*y)/g2 + (g1*t^7.98*y)/g2^19 + (2*t^8.03*y)/(g1*g2^5) + 2*g2^10*t^8.33*y + (2*t^8.34*y)/g2^8 - (t^8.35*y)/g2^26 + 2*g1*g2^7*t^8.63*y + (2*g1*t^8.64*y)/g2^11 + g1^2*g2^4*t^8.94*y + (g1^2*t^8.95*y)/g2^14 |
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 373 | 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_3\phi_1^2$ + $ M_3M_5$ | 0.7211 | 0.8891 | 0.811 | [X:[], M:[0.9247, 0.9247, 1.0753, 0.774, 0.9247], q:[0.4623, 0.613], qb:[0.4623, 0.613], phi:[0.4623]] | t^2.32 + 4*t^2.77 + 2*t^3.23 + 3*t^4.16 + 4*t^4.61 + t^4.64 + 3*t^5.07 + 4*t^5.1 + 8*t^5.55 - t^4.39/y - t^4.39*y | detail |