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 |
|---|---|---|---|---|---|---|---|---|---|
| 2368 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_3M_7$ + $ M_6M_8$ | 0.7059 | 0.8668 | 0.8143 | [X:[], M:[0.8637, 1.0409, 1.0545, 0.9727, 0.9455, 1.0273, 0.9455, 0.9727], q:[0.5955, 0.5408], qb:[0.4319, 0.5137], phi:[0.4796]] | [X:[], M:[[8, 0], [-2, 2], [-4, -4], [0, -8], [4, 4], [0, 8], [4, 4], [0, -8]], q:[[-4, 8], [-4, -8]], qb:[[4, 0], [0, 4]], phi:[[1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_1$, $ M_5$, $ M_7$, $ M_4$, $ M_8$, $ M_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ M_1^2$, $ M_1M_5$, $ M_1M_7$, $ M_1M_4$, $ M_1M_8$, $ M_5^2$, $ M_5M_7$, $ M_7^2$, $ M_1M_2$, $ M_4M_5$, $ M_4M_7$, $ M_5M_8$, $ M_7M_8$, $ M_4^2$, $ M_4M_8$, $ M_8^2$, $ M_2M_5$, $ M_2M_7$ | . | -4 | t^2.59 + 2*t^2.84 + 2*t^2.92 + t^3.12 + t^3.33 + t^4.03 + t^4.28 + t^4.36 + 2*t^4.52 + t^4.6 + t^4.68 + t^4.77 + t^4.85 + t^5.01 + t^5.18 + 2*t^5.43 + t^5.51 + 2*t^5.67 + t^5.71 + 2*t^5.75 + 2*t^5.84 + 2*t^5.96 - 4*t^6. + 2*t^6.04 - t^6.08 + t^6.16 - t^6.33 + t^6.45 - t^6.49 + t^6.62 + t^6.65 + 3*t^6.87 + 2*t^6.95 + 3*t^7.11 + 2*t^7.19 + 2*t^7.27 + 4*t^7.36 + 2*t^7.44 + 2*t^7.52 + 4*t^7.6 + t^7.77 + 3*t^7.85 + 2*t^8.02 + t^8.06 + t^8.09 + t^8.1 + 2*t^8.26 + 2*t^8.31 + t^8.34 + t^8.39 + t^8.43 + 2*t^8.51 + 4*t^8.55 - 3*t^8.59 + 2*t^8.63 + t^8.67 + t^8.71 + 2*t^8.75 + 4*t^8.8 - 9*t^8.84 + 4*t^8.88 - 8*t^8.92 + 3*t^8.96 - t^4.44/y - t^7.03/y - t^7.28/y - t^7.36/y + t^7.52/y + t^7.6/y + t^7.85/y + (2*t^8.43)/y + (2*t^8.51)/y + t^8.67/y + t^8.71/y + (4*t^8.75)/y + t^8.84/y + t^8.92/y + (2*t^8.96)/y - t^4.44*y - t^7.03*y - t^7.28*y - t^7.36*y + t^7.52*y + t^7.6*y + t^7.85*y + 2*t^8.43*y + 2*t^8.51*y + t^8.67*y + t^8.71*y + 4*t^8.75*y + t^8.84*y + t^8.92*y + 2*t^8.96*y | g1^8*t^2.59 + 2*g1^4*g2^4*t^2.84 + (2*t^2.92)/g2^8 + (g2^2*t^3.12)/g1^2 + (g2^12*t^3.33)/g1^4 + (g1^9*t^4.03)/g2 + g1^5*g2^3*t^4.28 + (g1*t^4.36)/g2^9 + 2*g1*g2^7*t^4.52 + t^4.6/(g1^3*g2^5) + t^4.68/(g1^7*g2^17) + (g2^11*t^4.77)/g1^3 + t^4.85/(g1^7*g2) + (g2^15*t^5.01)/g1^7 + g1^16*t^5.18 + 2*g1^12*g2^4*t^5.43 + (g1^8*t^5.51)/g2^8 + 2*g1^8*g2^8*t^5.67 + g1^6*g2^2*t^5.71 + (2*g1^4*t^5.75)/g2^4 + (2*t^5.84)/g2^16 + 2*g1^2*g2^6*t^5.96 - 4*t^6. + (2*t^6.04)/(g1^2*g2^6) - t^6.08/(g1^4*g2^12) + g2^16*t^6.16 - t^6.33/(g1^8*g2^8) + (g2^14*t^6.45)/g1^6 - (g2^8*t^6.49)/g1^8 + (g1^17*t^6.62)/g2 + (g2^24*t^6.65)/g1^8 + 3*g1^13*g2^3*t^6.87 + (2*g1^9*t^6.95)/g2^9 + 3*g1^9*g2^7*t^7.11 + (2*g1^5*t^7.19)/g2^5 + (2*g1*t^7.27)/g2^17 + 4*g1^5*g2^11*t^7.36 + (2*g1*t^7.44)/g2 + (2*t^7.52)/(g1^3*g2^13) + (2*t^7.6)/(g1^7*g2^25) + 2*g1*g2^15*t^7.6 + g1^24*t^7.77 + (3*g2^19*t^7.85)/g1^3 + 2*g1^20*g2^4*t^8.02 + (g1^18*t^8.06)/g2^2 + (g2^23*t^8.09)/g1^7 + (g1^16*t^8.1)/g2^8 + 2*g1^16*g2^8*t^8.26 + 2*g1^14*g2^2*t^8.31 + (g2^27*t^8.34)/g1^11 + (g1^10*t^8.39)/g2^10 + (g1^8*t^8.43)/g2^16 + 2*g1^12*g2^12*t^8.51 + 4*g1^10*g2^6*t^8.55 - 3*g1^8*t^8.59 + (2*g1^6*t^8.63)/g2^6 + (g1^4*t^8.67)/g2^12 + (g1^2*t^8.71)/g2^18 + (2*t^8.75)/g2^24 + 4*g1^6*g2^10*t^8.8 - 9*g1^4*g2^4*t^8.84 + (4*g1^2*t^8.88)/g2^2 - (8*t^8.92)/g2^8 + (3*t^8.96)/(g1^2*g2^14) - (g1*t^4.44)/(g2*y) - (g1^9*t^7.03)/(g2*y) - (g1^5*g2^3*t^7.28)/y - (g1*t^7.36)/(g2^9*y) + (g1*g2^7*t^7.52)/y + t^7.6/(g1^3*g2^5*y) + t^7.85/(g1^7*g2*y) + (2*g1^12*g2^4*t^8.43)/y + (2*g1^8*t^8.51)/(g2^8*y) + (g1^8*g2^8*t^8.67)/y + (g1^6*g2^2*t^8.71)/y + (4*g1^4*t^8.75)/(g2^4*y) + t^8.84/(g2^16*y) + (g1^4*g2^12*t^8.92)/y + (2*g1^2*g2^6*t^8.96)/y - (g1*t^4.44*y)/g2 - (g1^9*t^7.03*y)/g2 - g1^5*g2^3*t^7.28*y - (g1*t^7.36*y)/g2^9 + g1*g2^7*t^7.52*y + (t^7.6*y)/(g1^3*g2^5) + (t^7.85*y)/(g1^7*g2) + 2*g1^12*g2^4*t^8.43*y + (2*g1^8*t^8.51*y)/g2^8 + g1^8*g2^8*t^8.67*y + g1^6*g2^2*t^8.71*y + (4*g1^4*t^8.75*y)/g2^4 + (t^8.84*y)/g2^16 + g1^4*g2^12*t^8.92*y + 2*g1^2*g2^6*t^8.96*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 |
|---|---|---|---|---|---|---|---|---|
| 4388 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_3M_7$ + $ M_6M_8$ + $ \phi_1q_1\tilde{q}_2$ | 0.5928 | 0.7556 | 0.7846 | [X:[], M:[0.6694, 1.151, 1.0285, 0.7265, 0.9715, 1.2735, 0.9715, 0.7265], q:[0.9388, 0.3918], qb:[0.3347, 0.6367], phi:[0.4245]] | t^2.01 + 2*t^2.18 + 2*t^2.91 + t^3.28 + 2*t^3.45 + t^3.62 + t^4.02 + 2*t^4.19 + 3*t^4.36 + t^4.73 + 2*t^4.92 + 4*t^5.09 + t^5.29 + 3*t^5.46 + 4*t^5.63 + 2*t^5.8 + 2*t^5.83 - 3*t^6. - t^4.27/y - t^4.27*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1331 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_4M_6$ + $ M_3M_5$ + $ M_3M_7$ | 0.7046 | 0.8662 | 0.8135 | [X:[], M:[0.8644, 1.0339, 1.0679, 1.0001, 0.9321, 0.9999, 0.9321], q:[0.5677, 0.5679], qb:[0.4322, 0.4999], phi:[0.4831]] | t^2.59 + 2*t^2.8 + 2*t^3. + t^3.1 + t^3.2 + t^4.04 + t^4.25 + 3*t^4.45 + 2*t^4.65 + 3*t^4.86 + t^5.19 + 2*t^5.39 + 3*t^5.59 + t^5.69 + 2*t^5.8 + 2*t^5.9 - t^6. - t^4.45/y - t^4.45*y | detail |