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 |
|---|---|---|---|---|---|---|---|---|---|
| 3854 | 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_1M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_2$ + $ M_8\phi_1^2$ | 0.6559 | 0.8243 | 0.7957 | [X:[1.6157], M:[0.8471, 0.6901, 1.1529, 0.3843, 0.8471, 0.7294, 0.7294, 1.2314], q:[0.4039, 0.749], qb:[0.4432, 0.8667], phi:[0.3843]] | [X:[[0, 1]], M:[[0, 3], [0, -7], [0, -3], [0, -1], [0, 3], [2, -13], [-2, 4], [0, 2]], q:[[1, -4], [-1, 1]], qb:[[-1, 7], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_6$, $ M_7$, $ M_1$, $ M_5$, $ \phi_1q_1^2$, $ q_2\tilde{q}_1$, $ M_8$, $ \phi_1q_1\tilde{q}_1$, $ M_2^2$, $ M_2M_6$, $ M_2M_7$, $ M_6^2$, $ M_6M_7$, $ M_7^2$, $ M_1M_2$, $ M_2M_5$, $ \phi_1q_1q_2$, $ M_1M_6$, $ M_5M_6$, $ M_1M_7$, $ M_5M_7$, $ \phi_1q_2\tilde{q}_1$, $ X_1$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1q_1^2$, $ \phi_1q_2^2$, $ M_6\phi_1q_1^2$, $ M_2M_8$, $ M_7\phi_1q_1^2$, $ M_6q_2\tilde{q}_1$, $ M_7q_2\tilde{q}_1$, $ M_6M_8$, $ M_6\phi_1q_1\tilde{q}_1$, $ M_7M_8$, $ M_7\phi_1q_1\tilde{q}_1$ | . | -3 | t^2.07 + 2*t^2.19 + 2*t^2.54 + 2*t^3.58 + 2*t^3.69 + t^4.14 + 2*t^4.26 + 3*t^4.38 + 2*t^4.61 + 4*t^4.73 + t^4.85 + 3*t^5.08 + 2*t^5.65 + 5*t^5.76 + 2*t^5.88 - 3*t^6. + 2*t^6.12 + t^6.21 + 3*t^6.24 + 2*t^6.33 + 3*t^6.45 + 4*t^6.56 + 2*t^6.68 + 4*t^6.8 + 6*t^6.92 + 3*t^7.15 + 6*t^7.27 + t^7.39 - 2*t^7.51 + 3*t^7.62 + 2*t^7.72 + 5*t^7.84 + 6*t^7.95 - t^8.07 - 4*t^8.19 + t^8.28 + 5*t^8.31 + 2*t^8.4 + 2*t^8.42 + 3*t^8.52 - 6*t^8.54 + 4*t^8.63 + 7*t^8.75 + 3*t^8.78 + 4*t^8.87 + 6*t^8.99 - t^4.15/y - t^6.22/y - (2*t^6.34)/y - t^6.69/y + (2*t^7.26)/y + t^7.38/y + (3*t^7.61)/y + (4*t^7.73)/y + (2*t^7.96)/y + (2*t^8.08)/y - t^8.29/y - (2*t^8.41)/y - (3*t^8.53)/y + (2*t^8.65)/y + (5*t^8.76)/y + (2*t^8.88)/y - t^4.15*y - t^6.22*y - 2*t^6.34*y - t^6.69*y + 2*t^7.26*y + t^7.38*y + 3*t^7.61*y + 4*t^7.73*y + 2*t^7.96*y + 2*t^8.08*y - t^8.29*y - 2*t^8.41*y - 3*t^8.53*y + 2*t^8.65*y + 5*t^8.76*y + 2*t^8.88*y | t^2.07/g2^7 + (g1^2*t^2.19)/g2^13 + (g2^4*t^2.19)/g1^2 + 2*g2^3*t^2.54 + (g1^2*t^3.58)/g2^9 + (g2^8*t^3.58)/g1^2 + 2*g2^2*t^3.69 + t^4.14/g2^14 + (g1^2*t^4.26)/g2^20 + t^4.26/(g1^2*g2^3) + (g1^4*t^4.38)/g2^26 + t^4.38/g2^9 + (g2^8*t^4.38)/g1^4 + (2*t^4.61)/g2^4 + (2*g1^2*t^4.73)/g2^10 + (2*g2^7*t^4.73)/g1^2 + g2*t^4.85 + 3*g2^6*t^5.08 + (g1^2*t^5.65)/g2^16 + (g2*t^5.65)/g1^2 + (g1^4*t^5.76)/g2^22 + (3*t^5.76)/g2^5 + (g2^12*t^5.76)/g1^4 + (g1^2*t^5.88)/g2^11 + (g2^6*t^5.88)/g1^2 - 3*t^6. + (g1^2*t^6.12)/g2^6 + (g2^11*t^6.12)/g1^2 + t^6.21/g2^21 + 3*g2^5*t^6.24 + (g1^2*t^6.33)/g2^27 + t^6.33/(g1^2*g2^10) + (g1^4*t^6.45)/g2^33 + t^6.45/g2^16 + (g2*t^6.45)/g1^4 + (g1^6*t^6.56)/g2^39 + (g1^2*t^6.56)/g2^22 + t^6.56/(g1^2*g2^5) + (g2^12*t^6.56)/g1^6 + (2*t^6.68)/g2^11 + (2*t^6.8)/g1^2 + (2*g1^2*t^6.8)/g2^17 + (2*g1^4*t^6.92)/g2^23 + (2*t^6.92)/g2^6 + (2*g2^11*t^6.92)/g1^4 + (g1^4*t^7.15)/g2^18 + t^7.15/g2 + (g2^16*t^7.15)/g1^4 + (3*g1^2*t^7.27)/g2^7 + (3*g2^10*t^7.27)/g1^2 + g2^4*t^7.39 - (g1^2*t^7.51)/g2^2 - (g2^15*t^7.51)/g1^2 + 3*g2^9*t^7.62 + (g1^2*t^7.72)/g2^23 + t^7.72/(g1^2*g2^6) + (g1^4*t^7.84)/g2^29 + (3*t^7.84)/g2^12 + (g2^5*t^7.84)/g1^4 + (g1^6*t^7.95)/g2^35 + (2*g1^2*t^7.95)/g2^18 + (2*t^7.95)/(g1^2*g2) + (g2^16*t^7.95)/g1^6 + (g1^4*t^8.07)/g2^24 - (3*t^8.07)/g2^7 + (g2^10*t^8.07)/g1^4 - (2*g1^2*t^8.19)/g2^13 - (2*g2^4*t^8.19)/g1^2 + t^8.28/g2^28 + (g1^4*t^8.31)/g2^19 + (3*t^8.31)/g2^2 + (g2^15*t^8.31)/g1^4 + (g1^2*t^8.4)/g2^34 + t^8.4/(g1^2*g2^17) + (g1^2*t^8.42)/g2^8 + (g2^9*t^8.42)/g1^2 + (g1^4*t^8.52)/g2^40 + t^8.52/g2^23 + t^8.52/(g1^4*g2^6) - 6*g2^3*t^8.54 + (g1^6*t^8.63)/g2^46 + (g1^2*t^8.63)/g2^29 + t^8.63/(g1^2*g2^12) + (g2^5*t^8.63)/g1^6 + (g1^8*t^8.75)/g2^52 + (g1^4*t^8.75)/g2^35 + (3*t^8.75)/g2^18 + t^8.75/(g1^4*g2) + (g2^16*t^8.75)/g1^8 + 3*g2^8*t^8.78 + (2*g1^2*t^8.87)/g2^24 + (2*t^8.87)/(g1^2*g2^7) + (2*g1^4*t^8.99)/g2^30 + (2*t^8.99)/g2^13 + (2*g2^4*t^8.99)/g1^4 - t^4.15/(g2*y) - t^6.22/(g2^8*y) - (g1^2*t^6.34)/(g2^14*y) - (g2^3*t^6.34)/(g1^2*y) - (g2^2*t^6.69)/y + (g1^2*t^7.26)/(g2^20*y) + t^7.26/(g1^2*g2^3*y) + t^7.38/(g2^9*y) + (3*t^7.61)/(g2^4*y) + (2*g1^2*t^7.73)/(g2^10*y) + (2*g2^7*t^7.73)/(g1^2*y) + (g1^2*t^7.96)/(g2^5*y) + (g2^12*t^7.96)/(g1^2*y) + (2*g2^6*t^8.08)/y - t^8.29/(g2^15*y) - (g1^2*t^8.41)/(g2^21*y) - t^8.41/(g1^2*g2^4*y) - (g1^4*t^8.53)/(g2^27*y) - t^8.53/(g2^10*y) - (g2^7*t^8.53)/(g1^4*y) + (g1^2*t^8.65)/(g2^16*y) + (g2*t^8.65)/(g1^2*y) + (g1^4*t^8.76)/(g2^22*y) + (3*t^8.76)/(g2^5*y) + (g2^12*t^8.76)/(g1^4*y) + (g1^2*t^8.88)/(g2^11*y) + (g2^6*t^8.88)/(g1^2*y) - (t^4.15*y)/g2 - (t^6.22*y)/g2^8 - (g1^2*t^6.34*y)/g2^14 - (g2^3*t^6.34*y)/g1^2 - g2^2*t^6.69*y + (g1^2*t^7.26*y)/g2^20 + (t^7.26*y)/(g1^2*g2^3) + (t^7.38*y)/g2^9 + (3*t^7.61*y)/g2^4 + (2*g1^2*t^7.73*y)/g2^10 + (2*g2^7*t^7.73*y)/g1^2 + (g1^2*t^7.96*y)/g2^5 + (g2^12*t^7.96*y)/g1^2 + 2*g2^6*t^8.08*y - (t^8.29*y)/g2^15 - (g1^2*t^8.41*y)/g2^21 - (t^8.41*y)/(g1^2*g2^4) - (g1^4*t^8.53*y)/g2^27 - (t^8.53*y)/g2^10 - (g2^7*t^8.53*y)/g1^4 + (g1^2*t^8.65*y)/g2^16 + (g2*t^8.65*y)/g1^2 + (g1^4*t^8.76*y)/g2^22 + (3*t^8.76*y)/g2^5 + (g2^12*t^8.76*y)/g1^4 + (g1^2*t^8.88*y)/g2^11 + (g2^6*t^8.88*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 3380 | 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_1M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_2$ | 0.6741 | 0.8576 | 0.7861 | [X:[1.6169], M:[0.8507, 0.6818, 1.1493, 0.3831, 0.8507, 0.724, 0.724], q:[0.4042, 0.7451], qb:[0.4464, 0.8718], phi:[0.3831]] | t^2.05 + 2*t^2.17 + t^2.3 + 2*t^2.55 + 2*t^3.57 + t^3.7 + t^4.09 + 2*t^4.22 + 4*t^4.34 + 2*t^4.47 + 3*t^4.6 + 4*t^4.72 + 3*t^4.85 + 3*t^5.1 + 2*t^5.62 + 4*t^5.75 + 2*t^5.87 - 2*t^6. - t^4.15/y - t^4.15*y | detail |