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 |
|---|---|---|---|---|---|---|---|---|---|
| 56285 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_7\phi_1^2$ + $ M_3^2$ + $ M_1M_4$ + $ M_4M_8$ | 0.7136 | 0.8827 | 0.8084 | [X:[], M:[0.9086, 0.8172, 1.0, 1.0914, 0.9483, 0.9603, 1.0457, 0.9086], q:[0.6173, 0.4742], qb:[0.5656, 0.4344], phi:[0.4771]] | [X:[], M:[[4, 4], [8, 8], [0, 0], [-4, -4], [8, 0], [-4, 4], [-2, -2], [4, 4]], q:[[-8, -4], [4, 0]], qb:[[0, -4], [0, 4]], phi:[[1, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ M_8$, $ M_5$, $ M_6$, $ M_3$, $ M_7$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ M_1M_2$, $ M_2M_8$, $ M_2M_5$, $ M_2M_6$, $ M_1^2$, $ M_2M_3$, $ M_1M_8$, $ M_8^2$, $ M_1M_5$, $ M_5M_8$, $ M_2M_7$, $ M_1M_6$, $ M_6M_8$, $ M_5^2$, $ M_1M_3$, $ M_5M_6$, $ M_3M_8$, $ M_6^2$, $ M_1M_7$, $ M_7M_8$, $ M_5M_7$ | . | -3 | t^2.45 + 2*t^2.73 + t^2.84 + t^2.88 + t^3. + t^3.14 + t^4.04 + t^4.16 + t^4.28 + t^4.43 + t^4.55 + t^4.59 + t^4.71 + t^4.82 + t^4.9 + t^4.98 + t^5.13 + 2*t^5.18 + t^5.3 + t^5.33 + 3*t^5.45 + t^5.57 + t^5.59 + t^5.61 + t^5.69 + 2*t^5.73 + t^5.76 + 2*t^5.86 + t^5.98 - 3*t^6. + t^6.02 - t^6.12 + t^6.14 - t^6.16 - t^6.27 - t^6.39 - t^6.43 + t^6.49 - t^6.55 + t^6.61 + t^6.73 + 2*t^6.76 + 3*t^6.88 + t^6.92 + 3*t^7. + 2*t^7.04 + t^7.12 + 3*t^7.16 + 3*t^7.28 + t^7.31 + t^7.35 + t^7.4 + 2*t^7.43 + t^7.47 + 2*t^7.55 + t^7.59 + 2*t^7.63 + t^7.67 + t^7.75 + t^7.78 + t^7.86 + 3*t^7.9 + 2*t^8.02 + t^8.04 + t^8.06 + t^8.08 - t^8.1 + t^8.14 + 4*t^8.18 + t^8.2 + t^8.21 - t^8.25 + t^8.3 + 3*t^8.31 + t^8.42 + 2*t^8.43 - 2*t^8.45 + 2*t^8.47 + t^8.49 + t^8.53 + t^8.55 - t^8.57 + 4*t^8.59 - t^8.61 + t^8.62 + t^8.64 + 2*t^8.71 - 7*t^8.73 + 2*t^8.74 + 2*t^8.83 - 6*t^8.84 + 4*t^8.86 - 5*t^8.88 + t^8.9 + t^8.94 - t^8.96 + 2*t^8.98 - t^4.43/y - t^6.88/y - t^7.16/y - t^7.28/y - t^7.31/y + t^7.55/y + t^7.59/y + t^7.71/y + t^7.98/y + (2*t^8.18)/y + t^8.3/y + t^8.33/y + (2*t^8.45)/y + (2*t^8.57)/y + t^8.59/y + (2*t^8.61)/y + (3*t^8.73)/y + t^8.84/y + (2*t^8.86)/y + t^8.88/y + t^8.98/y - t^4.43*y - t^6.88*y - t^7.16*y - t^7.28*y - t^7.31*y + t^7.55*y + t^7.59*y + t^7.71*y + t^7.98*y + 2*t^8.18*y + t^8.3*y + t^8.33*y + 2*t^8.45*y + 2*t^8.57*y + t^8.59*y + 2*t^8.61*y + 3*t^8.73*y + t^8.84*y + 2*t^8.86*y + t^8.88*y + t^8.98*y | g1^8*g2^8*t^2.45 + 2*g1^4*g2^4*t^2.73 + g1^8*t^2.84 + (g2^4*t^2.88)/g1^4 + t^3. + t^3.14/(g1^2*g2^2) + g1*g2^9*t^4.04 + g1^5*g2^5*t^4.16 + g1^9*g2*t^4.28 + g1*g2*t^4.43 + (g1^5*t^4.55)/g2^3 + (g2*t^4.59)/g1^7 + t^4.71/(g1^3*g2^3) + (g1*t^4.82)/g2^7 + g1^16*g2^16*t^4.9 + t^4.98/(g1^7*g2^7) + t^5.13/(g1^15*g2^7) + 2*g1^12*g2^12*t^5.18 + g1^16*g2^8*t^5.3 + g1^4*g2^12*t^5.33 + 3*g1^8*g2^8*t^5.45 + g1^12*g2^4*t^5.57 + g1^6*g2^6*t^5.59 + g2^8*t^5.61 + g1^16*t^5.69 + 2*g1^4*g2^4*t^5.73 + (g2^8*t^5.76)/g1^8 + 2*g1^2*g2^2*t^5.86 + (g1^6*t^5.98)/g2^2 - 3*t^6. + (g2^2*t^6.02)/g1^6 - (g1^4*t^6.12)/g2^4 + t^6.14/(g1^2*g2^2) - t^6.16/g1^8 - t^6.27/(g1^4*g2^4) - t^6.39/g2^8 - t^6.43/(g1^12*g2^4) + g1^9*g2^17*t^6.49 - t^6.55/(g1^8*g2^8) + g1^13*g2^13*t^6.61 + g1^17*g2^9*t^6.73 + 2*g1^5*g2^13*t^6.76 + 3*g1^9*g2^9*t^6.88 + (g2^13*t^6.92)/g1^3 + 3*g1^13*g2^5*t^7. + 2*g1*g2^9*t^7.04 + g1^17*g2*t^7.12 + 3*g1^5*g2^5*t^7.16 + 3*g1^9*g2*t^7.28 + (g2^5*t^7.31)/g1^3 + g1^24*g2^24*t^7.35 + (g1^13*t^7.4)/g2^3 + 2*g1*g2*t^7.43 + (g2^5*t^7.47)/g1^11 + (2*g1^5*t^7.55)/g2^3 + (g2*t^7.59)/g1^7 + 2*g1^20*g2^20*t^7.63 + (g1^9*t^7.67)/g2^7 + g1^24*g2^16*t^7.75 + g1^12*g2^20*t^7.78 + t^7.86/(g1^11*g2^3) + 3*g1^16*g2^16*t^7.9 + t^8.02/(g1^19*g2^3) + g1^20*g2^12*t^8.02 + g1^14*g2^14*t^8.04 + g1^8*g2^16*t^8.06 + g1^2*g2^18*t^8.08 - t^8.1/(g1^3*g2^11) + g1^24*g2^8*t^8.14 + 4*g1^12*g2^12*t^8.18 + g1^6*g2^14*t^8.2 + g2^16*t^8.21 - t^8.25/(g1^11*g2^11) + g1^16*g2^8*t^8.3 + 3*g1^10*g2^10*t^8.31 + g1^20*g2^4*t^8.42 + 2*g1^14*g2^6*t^8.43 - 2*g1^8*g2^8*t^8.45 + 2*g1^2*g2^10*t^8.47 + (g2^12*t^8.49)/g1^4 + g1^24*t^8.53 + g1^18*g2^2*t^8.55 - g1^12*g2^4*t^8.57 + 4*g1^6*g2^6*t^8.59 - g2^8*t^8.61 + (g2^10*t^8.62)/g1^6 + (g2^12*t^8.64)/g1^12 + 2*g1^10*g2^2*t^8.71 - 7*g1^4*g2^4*t^8.73 + (2*g2^6*t^8.74)/g1^2 + (2*g1^14*t^8.83)/g2^2 - 6*g1^8*t^8.84 + 4*g1^2*g2^2*t^8.86 - (5*g2^4*t^8.88)/g1^4 + (g2^6*t^8.9)/g1^10 + g1^17*g2^25*t^8.94 - (g1^12*t^8.96)/g2^4 + (2*g1^6*t^8.98)/g2^2 - (g1*g2*t^4.43)/y - (g1^9*g2^9*t^6.88)/y - (g1^5*g2^5*t^7.16)/y - (g1^9*g2*t^7.28)/y - (g2^5*t^7.31)/(g1^3*y) + (g1^5*t^7.55)/(g2^3*y) + (g2*t^7.59)/(g1^7*y) + t^7.71/(g1^3*g2^3*y) + t^7.98/(g1^7*g2^7*y) + (2*g1^12*g2^12*t^8.18)/y + (g1^16*g2^8*t^8.3)/y + (g1^4*g2^12*t^8.33)/y + (2*g1^8*g2^8*t^8.45)/y + (2*g1^12*g2^4*t^8.57)/y + (g1^6*g2^6*t^8.59)/y + (2*g2^8*t^8.61)/y + (3*g1^4*g2^4*t^8.73)/y + (g1^8*t^8.84)/y + (2*g1^2*g2^2*t^8.86)/y + (g2^4*t^8.88)/(g1^4*y) + (g1^6*t^8.98)/(g2^2*y) - g1*g2*t^4.43*y - g1^9*g2^9*t^6.88*y - g1^5*g2^5*t^7.16*y - g1^9*g2*t^7.28*y - (g2^5*t^7.31*y)/g1^3 + (g1^5*t^7.55*y)/g2^3 + (g2*t^7.59*y)/g1^7 + (t^7.71*y)/(g1^3*g2^3) + (t^7.98*y)/(g1^7*g2^7) + 2*g1^12*g2^12*t^8.18*y + g1^16*g2^8*t^8.3*y + g1^4*g2^12*t^8.33*y + 2*g1^8*g2^8*t^8.45*y + 2*g1^12*g2^4*t^8.57*y + g1^6*g2^6*t^8.59*y + 2*g2^8*t^8.61*y + 3*g1^4*g2^4*t^8.73*y + g1^8*t^8.84*y + 2*g1^2*g2^2*t^8.86*y + (g2^4*t^8.88*y)/g1^4 + (g1^6*t^8.98*y)/g2^2 |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 50988 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_6q_2\tilde{q}_1$ + $ M_7\phi_1^2$ + $ M_3^2$ + $ M_1M_4$ | 0.706 | 0.8681 | 0.8132 | [X:[], M:[0.9248, 0.8495, 1.0, 1.0752, 0.9583, 0.9665, 1.0376], q:[0.5961, 0.4791], qb:[0.5544, 0.4456], phi:[0.4812]] | t^2.55 + t^2.77 + t^2.87 + t^2.9 + t^3. + t^3.11 + t^3.23 + t^4.12 + t^4.22 + t^4.32 + t^4.44 + t^4.54 + t^4.57 + t^4.67 + t^4.77 + t^4.9 + t^5.02 + t^5.1 + t^5.32 + t^5.42 + t^5.45 + t^5.55 + t^5.66 + t^5.75 + 2*t^5.77 + t^5.8 + t^5.89 + t^5.99 - 2*t^6. - t^4.44/y - t^4.44*y | detail |