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 |
|---|---|---|---|---|---|---|---|---|---|
| 2646 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2\tilde{q}_1$ + $ M_2M_8$ | 0.659 | 0.8115 | 0.8121 | [X:[], M:[1.0037, 0.7564, 0.9183, 0.8418, 1.1582, 1.12, 0.7182, 1.2436], q:[0.6181, 0.3782], qb:[0.4636, 0.78], phi:[0.44]] | [X:[], M:[[2, -14], [-2, -2], [-1, -15], [1, -1], [-1, 1], [0, 8], [-1, 5], [2, 2]], q:[[-1, 15], [-1, -1]], qb:[[2, 0], [0, 2]], phi:[[0, -4]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_4$, $ M_3$, $ M_1$, $ M_6$, $ M_5$, $ \phi_1q_2^2$, $ M_8$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ M_7^2$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_1$, $ M_4M_7$, $ M_3M_7$, $ \phi_1q_1^2$, $ M_4^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_1M_7$, $ M_3^2$, $ M_6M_7$, $ \phi_1q_1\tilde{q}_2$, $ M_5M_7$, $ M_1M_3$, $ M_4M_6$, $ M_7M_8$ | . | -2 | t^2.15 + t^2.53 + t^2.75 + t^3.01 + t^3.36 + t^3.47 + t^3.59 + t^3.73 + t^4.1 + t^4.19 + 2*t^4.31 + t^4.57 + t^4.68 + t^4.91 + t^5.03 + t^5.05 + t^5.17 + 2*t^5.51 + t^5.63 + t^5.77 + 2*t^5.89 - 2*t^6. + t^6.02 + t^6.11 + t^6.23 + t^6.26 + t^6.34 + t^6.35 + t^6.46 + t^6.49 + t^6.63 + t^6.72 + t^6.74 + t^6.83 + t^6.95 + 2*t^7.06 + t^7.09 + t^7.11 + 2*t^7.18 + t^7.21 + t^7.32 + t^7.46 + t^7.55 + t^7.58 + t^7.66 + 2*t^7.67 + 2*t^7.78 + t^7.83 + t^7.9 + t^7.92 + t^7.93 + 2*t^8.04 - 3*t^8.15 + t^8.18 + t^8.2 + t^8.26 + t^8.3 + t^8.38 + t^8.39 + t^8.41 + 2*t^8.5 + t^8.52 - 2*t^8.53 + 2*t^8.62 + t^8.64 + t^8.67 - 3*t^8.75 + t^8.76 + 2*t^8.78 + t^8.98 - t^4.32/y - t^6.47/y - t^7.07/y + t^7.31/y - t^7.33/y + t^7.57/y + t^7.68/y + t^7.91/y + (2*t^8.17)/y + t^8.28/y + t^8.51/y + t^8.54/y + t^8.74/y + t^8.77/y + (2*t^8.89)/y - t^4.32*y - t^6.47*y - t^7.07*y + t^7.31*y - t^7.33*y + t^7.57*y + t^7.68*y + t^7.91*y + 2*t^8.17*y + t^8.28*y + t^8.51*y + t^8.54*y + t^8.74*y + t^8.77*y + 2*t^8.89*y | (g2^5*t^2.15)/g1 + (g1*t^2.53)/g2 + t^2.75/(g1*g2^15) + (g1^2*t^3.01)/g2^14 + g2^8*t^3.36 + (g2*t^3.47)/g1 + t^3.59/(g1^2*g2^6) + g1^2*g2^2*t^3.73 + (g1^4*t^4.1)/g2^4 + (g2^17*t^4.19)/g1 + (2*g2^10*t^4.31)/g1^2 + g1*g2^11*t^4.57 + g2^4*t^4.68 + t^4.91/(g1^2*g2^10) + (g2^26*t^5.03)/g1^2 + (g1^2*t^5.05)/g2^2 + (g1*t^5.17)/g2^9 + t^5.51/(g1^2*g2^30) + (g2^13*t^5.51)/g1 + (g2^6*t^5.63)/g1^2 + (g1*t^5.77)/g2^29 + 2*g1*g2^7*t^5.89 - 2*t^6. + (g1^4*t^6.02)/g2^28 + t^6.11/(g1*g2^7) + t^6.23/(g1^2*g2^14) + g1^3*g2*t^6.26 + t^6.34/(g1^3*g2^21) + (g2^22*t^6.35)/g1^2 + (g2^15*t^6.46)/g1^3 + (g1*t^6.49)/g2^13 + (g1^5*t^6.63)/g2^5 + g2^16*t^6.72 + (g1^4*t^6.74)/g2^12 + (g2^9*t^6.83)/g1 + (g2^2*t^6.95)/g1^2 + (2*t^7.06)/(g1^3*g2^5) + g1^2*g2^10*t^7.09 + (g1^6*t^7.11)/g2^18 + t^7.18/(g1^4*g2^12) + (g2^31*t^7.18)/g1^3 + g1*g2^3*t^7.21 + t^7.32/g2^4 + g1^4*g2^4*t^7.46 + (g2^25*t^7.55)/g1 + (g1^3*t^7.58)/g2^3 + t^7.66/(g1^3*g2^25) + (2*g2^18*t^7.67)/g1^2 + (2*g2^11*t^7.78)/g1^3 + (g1^6*t^7.83)/g2^2 + (g2^4*t^7.9)/g1^4 + t^7.92/g2^24 + g1*g2^19*t^7.93 + 2*g2^12*t^8.04 - (3*g2^5*t^8.15)/g1 + (g1^3*t^8.18)/g2^23 + (g1^8*t^8.2)/g2^8 + t^8.26/(g1^3*g2^45) + g1^3*g2^13*t^8.3 + t^8.38/(g1^3*g2^9) + (g2^34*t^8.39)/g1^2 + g1^2*g2^6*t^8.41 + (2*g2^27*t^8.5)/g1^3 + t^8.52/g2^44 - (2*g1*t^8.53)/g2 + (2*g2^20*t^8.62)/g1^4 + t^8.64/g2^8 + g1^5*g2^7*t^8.67 - (3*t^8.75)/(g1*g2^15) + g2^28*t^8.76 + g1^4*t^8.78 + (g1^3*t^8.78)/g2^43 + t^8.98/(g1^3*g2^29) - t^4.32/(g2^4*y) - (g2*t^6.47)/(g1*y) - t^7.07/(g1*g2^19*y) + (g2^10*t^7.31)/(g1^2*y) - (g1^2*t^7.33)/(g2^18*y) + (g1*g2^11*t^7.57)/y + (g2^4*t^7.68)/y + t^7.91/(g1^2*g2^10*y) + (2*g1*t^8.17)/(g2^9*y) + t^8.28/(g2^16*y) + (g2^13*t^8.51)/(g1*y) + (g1^3*t^8.54)/(g2^15*y) + t^8.74/(g1^3*g2*y) + (g1*t^8.77)/(g2^29*y) + (2*g1*g2^7*t^8.89)/y - (t^4.32*y)/g2^4 - (g2*t^6.47*y)/g1 - (t^7.07*y)/(g1*g2^19) + (g2^10*t^7.31*y)/g1^2 - (g1^2*t^7.33*y)/g2^18 + g1*g2^11*t^7.57*y + g2^4*t^7.68*y + (t^7.91*y)/(g1^2*g2^10) + (2*g1*t^8.17*y)/g2^9 + (t^8.28*y)/g2^16 + (g2^13*t^8.51*y)/g1 + (g1^3*t^8.54*y)/g2^15 + (t^8.74*y)/(g1^3*g2) + (g1*t^8.77*y)/g2^29 + 2*g1*g2^7*t^8.89*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 |
|---|---|---|---|---|---|---|---|---|
| 4777 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2\tilde{q}_1$ + $ M_2M_8$ + $ q_1\tilde{q}_2$ + $ M_3X_1$ + $ M_1X_2$ | 0.4367 | 0.512 | 0.8529 | [X:[1.5895, 1.5066], M:[0.4934, 0.7119, 0.4105, 0.7947, 1.2053, 1.3974, 0.904, 1.2881], q:[1.1507, 0.3559], qb:[0.4388, 0.8493], phi:[0.3013]] | t^2.38 + t^2.71 + t^3.04 + t^3.54 + t^4.19 + t^4.77 + t^5.1 + 2*t^5.42 + t^5.92 - 2*t^6. - t^3.9/y - t^3.9*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1546 | 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_5q_2\tilde{q}_1$ + $ M_4M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1^2$ + $ M_7\phi_1q_2\tilde{q}_1$ | 0.6781 | 0.8467 | 0.8009 | [X:[], M:[1.011, 0.7404, 0.9027, 0.8487, 1.1513, 1.1243, 0.7134], q:[0.6188, 0.3702], qb:[0.4785, 0.7811], phi:[0.4379]] | t^2.14 + t^2.22 + t^2.55 + t^2.71 + t^3.03 + t^3.37 + t^3.45 + t^3.53 + t^4.18 + t^4.2 + 2*t^4.28 + t^4.36 + t^4.44 + t^4.61 + t^4.69 + t^4.77 + t^4.85 + t^4.93 + t^5.03 + t^5.09 + t^5.17 + t^5.25 + t^5.42 + t^5.51 + 2*t^5.59 + t^5.68 + t^5.74 + t^5.76 + t^5.92 - 2*t^6. - t^4.31/y - t^4.31*y | detail |