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 |
|---|---|---|---|---|---|---|---|---|---|
| 1995 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_1M_5$ + $ M_2X_1$ + $ M_5M_6$ + $ M_7q_1\tilde{q}_2$ | 0.6243 | 0.7889 | 0.7913 | [X:[1.4964], M:[0.9868, 0.5036, 0.7848, 0.7584, 1.0132, 0.9868, 0.732], q:[0.7094, 0.9114], qb:[0.3038, 0.5586], phi:[0.3792]] | [X:[[0, 1]], M:[[8, -5], [0, -1], [-20, 12], [-4, 2], [-8, 5], [8, -5], [12, -8]], q:[[-13, 8], [15, -9]], qb:[[5, -3], [1, 0]], phi:[[-2, 1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_7$, $ M_4$, $ \phi_1^2$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ M_1$, $ M_6$, $ M_7^2$, $ q_2\tilde{q}_2$, $ M_4M_7$, $ M_7\phi_1^2$, $ X_1$, $ M_4^2$, $ M_3M_7$, $ M_4\phi_1^2$, $ \phi_1^4$, $ M_3M_4$, $ M_3\phi_1^2$, $ M_3^2$, $ M_7\tilde{q}_1\tilde{q}_2$, $ q_1q_2$, $ M_4\tilde{q}_1\tilde{q}_2$, $ \phi_1^2\tilde{q}_1\tilde{q}_2$, $ M_3\tilde{q}_1\tilde{q}_2$, $ M_1M_7$, $ M_6M_7$, $ \tilde{q}_1^2\tilde{q}_2^2$, $ M_1M_4$, $ M_4M_6$, $ M_1\phi_1^2$, $ M_6\phi_1^2$, $ M_1M_3$, $ M_3M_6$, $ M_1\tilde{q}_1\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_1^2$, $ M_1M_6$, $ M_6^2$ | . | -3 | t^2.2 + 2*t^2.28 + t^2.35 + t^2.59 + 2*t^2.96 + t^4.39 + t^4.41 + 2*t^4.47 + t^4.49 + 4*t^4.55 + 2*t^4.63 + t^4.71 + t^4.78 + 3*t^4.86 + t^4.94 + 2*t^5.16 + t^5.17 + 3*t^5.24 + t^5.31 + 2*t^5.55 + 2*t^5.92 - 3*t^6. - t^6.08 - t^6.37 - t^6.45 + t^6.59 + t^6.61 + 2*t^6.67 + t^6.69 + 4*t^6.75 + t^6.76 + 6*t^6.83 + t^6.84 + 4*t^6.9 + 3*t^6.98 + t^7. + 3*t^7.06 + t^7.08 + 4*t^7.14 + 2*t^7.22 + t^7.3 + 2*t^7.35 + 2*t^7.37 + 3*t^7.43 + 2*t^7.45 + 5*t^7.51 + t^7.59 + t^7.67 + 2*t^7.74 + t^7.76 + 3*t^7.82 - t^7.9 + 2*t^8.12 + t^8.13 - t^8.2 - t^8.21 - 6*t^8.28 - 5*t^8.35 - t^8.43 + t^8.51 - t^8.57 - 5*t^8.59 - 2*t^8.65 - 2*t^8.67 - 2*t^8.73 + t^8.78 + t^8.8 - t^8.81 + t^8.82 + 2*t^8.86 + 3*t^8.88 + t^8.9 + 4*t^8.94 - 5*t^8.96 + t^8.98 - t^4.14/y - t^6.33/y - (2*t^6.41)/y - t^6.49/y - t^7.1/y + t^7.18/y + (2*t^7.47)/y + (2*t^7.55)/y + (2*t^7.63)/y + (2*t^7.78)/y + (4*t^7.86)/y + (2*t^7.94)/y + (2*t^8.16)/y + (4*t^8.24)/y + (2*t^8.31)/y - t^8.53/y + (2*t^8.55)/y - (2*t^8.61)/y - (4*t^8.69)/y - (2*t^8.77)/y - t^8.85/y + t^8.92/y - t^4.14*y - t^6.33*y - 2*t^6.41*y - t^6.49*y - t^7.1*y + t^7.18*y + 2*t^7.47*y + 2*t^7.55*y + 2*t^7.63*y + 2*t^7.78*y + 4*t^7.86*y + 2*t^7.94*y + 2*t^8.16*y + 4*t^8.24*y + 2*t^8.31*y - t^8.53*y + 2*t^8.55*y - 2*t^8.61*y - 4*t^8.69*y - 2*t^8.77*y - t^8.85*y + t^8.92*y | (g1^12*t^2.2)/g2^8 + (2*g2^2*t^2.28)/g1^4 + (g2^12*t^2.35)/g1^20 + (g1^6*t^2.59)/g2^3 + (2*g1^8*t^2.96)/g2^5 + (g1^24*t^4.39)/g2^16 + (g1^16*t^4.41)/g2^9 + (2*g1^8*t^4.47)/g2^6 + g2*t^4.49 + (4*g2^4*t^4.55)/g1^8 + (2*g2^14*t^4.63)/g1^24 + (g2^24*t^4.71)/g1^40 + (g1^18*t^4.78)/g2^11 + (3*g1^2*t^4.86)/g2 + (g2^9*t^4.94)/g1^14 + (2*g1^20*t^5.16)/g2^13 + (g1^12*t^5.17)/g2^6 + (3*g1^4*t^5.24)/g2^3 + (g2^7*t^5.31)/g1^12 + (2*g1^14*t^5.55)/g2^8 + (2*g1^16*t^5.92)/g2^10 - 3*t^6. - (g2^10*t^6.08)/g1^16 - (g1^2*t^6.37)/g2^2 - (g2^8*t^6.45)/g1^14 + (g1^36*t^6.59)/g2^24 + (g1^28*t^6.61)/g2^17 + (2*g1^20*t^6.67)/g2^14 + (g1^12*t^6.69)/g2^7 + (4*g1^4*t^6.75)/g2^4 + (g2^3*t^6.76)/g1^4 + (6*g2^6*t^6.83)/g1^12 + (g2^13*t^6.84)/g1^20 + (4*g2^16*t^6.9)/g1^28 + (g1^30*t^6.98)/g2^19 + (2*g2^26*t^6.98)/g1^44 + (g1^22*t^7.)/g2^12 + (2*g1^14*t^7.06)/g2^9 + (g2^36*t^7.06)/g1^60 + (g1^6*t^7.08)/g2^2 + (4*g2*t^7.14)/g1^2 + (2*g2^11*t^7.22)/g1^18 + (g2^21*t^7.3)/g1^34 + (2*g1^32*t^7.35)/g2^21 + (2*g1^24*t^7.37)/g2^14 + (3*g1^16*t^7.43)/g2^11 + (2*g1^8*t^7.45)/g2^4 + (5*t^7.51)/g2 + (g2^9*t^7.59)/g1^16 + (g2^19*t^7.67)/g1^32 + (2*g1^26*t^7.74)/g2^16 + (g1^18*t^7.76)/g2^9 + (3*g1^10*t^7.82)/g2^6 - (g2^4*t^7.9)/g1^6 + (2*g1^28*t^8.12)/g2^18 + (g1^20*t^8.13)/g2^11 - (g1^12*t^8.2)/g2^8 - (g1^4*t^8.21)/g2 - (6*g2^2*t^8.28)/g1^4 - (5*g2^12*t^8.35)/g1^20 - (g2^22*t^8.43)/g1^36 + (g1^22*t^8.51)/g2^13 - (g1^14*t^8.57)/g2^10 - (5*g1^6*t^8.59)/g2^3 - (2*t^8.65)/g1^2 - (2*g2^7*t^8.67)/g1^10 - (2*g2^10*t^8.73)/g1^18 + (g1^48*t^8.78)/g2^32 + (g1^40*t^8.8)/g2^25 - (g2^20*t^8.81)/g1^34 + (g1^32*t^8.82)/g2^18 + (2*g1^32*t^8.86)/g2^22 + (3*g1^24*t^8.88)/g2^15 + (g1^16*t^8.9)/g2^8 + (4*g1^16*t^8.94)/g2^12 - (5*g1^8*t^8.96)/g2^5 + g2^2*t^8.98 - (g2*t^4.14)/(g1^2*y) - (g1^10*t^6.33)/(g2^7*y) - (2*g2^3*t^6.41)/(g1^6*y) - (g2^13*t^6.49)/(g1^22*y) - (g1^6*t^7.1)/(g2^4*y) + (g2^6*t^7.18)/(g1^10*y) + (2*g1^8*t^7.47)/(g2^6*y) + (2*g2^4*t^7.55)/(g1^8*y) + (2*g2^14*t^7.63)/(g1^24*y) + (2*g1^18*t^7.78)/(g2^11*y) + (4*g1^2*t^7.86)/(g2*y) + (2*g2^9*t^7.94)/(g1^14*y) + (2*g1^20*t^8.16)/(g2^13*y) + (4*g1^4*t^8.24)/(g2^3*y) + (2*g2^7*t^8.31)/(g1^12*y) - (g1^22*t^8.53)/(g2^15*y) + (2*g1^14*t^8.55)/(g2^8*y) - (2*g1^6*t^8.61)/(g2^5*y) - (4*g2^5*t^8.69)/(g1^10*y) - (2*g2^15*t^8.77)/(g1^26*y) - (g2^25*t^8.85)/(g1^42*y) + (g1^16*t^8.92)/(g2^10*y) - (g2*t^4.14*y)/g1^2 - (g1^10*t^6.33*y)/g2^7 - (2*g2^3*t^6.41*y)/g1^6 - (g2^13*t^6.49*y)/g1^22 - (g1^6*t^7.1*y)/g2^4 + (g2^6*t^7.18*y)/g1^10 + (2*g1^8*t^7.47*y)/g2^6 + (2*g2^4*t^7.55*y)/g1^8 + (2*g2^14*t^7.63*y)/g1^24 + (2*g1^18*t^7.78*y)/g2^11 + (4*g1^2*t^7.86*y)/g2 + (2*g2^9*t^7.94*y)/g1^14 + (2*g1^20*t^8.16*y)/g2^13 + (4*g1^4*t^8.24*y)/g2^3 + (2*g2^7*t^8.31*y)/g1^12 - (g1^22*t^8.53*y)/g2^15 + (2*g1^14*t^8.55*y)/g2^8 - (2*g1^6*t^8.61*y)/g2^5 - (4*g2^5*t^8.69*y)/g1^10 - (2*g2^15*t^8.77*y)/g1^26 - (g2^25*t^8.85*y)/g1^42 + (g1^16*t^8.92*y)/g2^10 |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 763 | SU2adj1nf2 | $\phi_1q_1q_2$ + $ M_1q_1\tilde{q}_1$ + $ M_2\phi_1\tilde{q}_2^2$ + $ M_3q_2\tilde{q}_1$ + $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1\tilde{q}_1^2$ + $ M_1M_5$ + $ M_2X_1$ + $ M_5M_6$ | 0.6052 | 0.7542 | 0.8024 | [X:[1.4621], M:[1.0006, 0.5379, 0.7674, 0.7686, 0.9994, 1.0006], q:[0.6912, 0.9245], qb:[0.3082, 0.5389], phi:[0.3843]] | t^2.3 + 2*t^2.31 + t^2.54 + 2*t^3. + t^3.69 + 2*t^4.39 + t^4.6 + 5*t^4.61 + t^4.84 + 3*t^4.85 + t^5.08 + t^5.3 + 3*t^5.31 + 2*t^5.54 + t^5.99 - t^4.15/y - t^4.15*y | detail |