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 |
|---|---|---|---|---|---|---|---|---|---|
| 5241 | 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_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1\tilde{q}_1$ + $ M_7q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_8\phi_1q_1^2$ | 0.6986 | 0.8876 | 0.7871 | [X:[1.3463], M:[1.0, 0.8269, 1.1731, 0.6537, 0.8269, 0.7164, 1.0238, 0.6926], q:[0.4253, 0.5747], qb:[0.4015, 0.7716], phi:[0.4567]] | [X:[[16]], M:[[0], [-8], [8], [-16], [-8], [10], [-22], [32]], q:[[-15], [15]], qb:[[7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_8$, $ M_6$, $ M_2$, $ M_5$, $ \phi_1^2$, $ M_1$, $ M_7$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ X_1$, $ M_8^2$, $ M_6M_8$, $ M_6^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ M_2M_8$, $ M_5M_8$, $ M_2M_6$, $ M_5M_6$, $ M_8\phi_1^2$, $ \phi_1q_2^2$, $ M_6\phi_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2^2$, $ M_2M_5$, $ M_5^2$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_8$, $ M_1M_6$, $ M_7M_8$, $ M_6M_7$, $ M_2\phi_1^2$, $ M_5\phi_1^2$, $ M_1M_2$, $ M_1M_5$, $ \phi_1^4$, $ M_2M_7$, $ M_5M_7$, $ M_8q_1\tilde{q}_2$, $ M_1\phi_1^2$, $ M_6q_1\tilde{q}_2$, $ M_7\phi_1^2$, $ M_8\phi_1\tilde{q}_1^2$ | . | -2 | t^2.08 + t^2.15 + 2*t^2.48 + t^2.74 + t^3. + t^3.07 + t^3.59 + t^3.78 + t^4.04 + t^4.16 + t^4.23 + 2*t^4.3 + t^4.37 + 2*t^4.56 + 2*t^4.63 + 2*t^4.82 + t^4.89 + 3*t^4.96 + t^5.08 + 2*t^5.15 + 3*t^5.22 + 2*t^5.48 + t^5.55 + t^5.67 + 2*t^5.74 + t^5.81 + t^5.86 - 2*t^6. + 2*t^6.07 + t^6.12 + t^6.14 + t^6.19 + t^6.23 + t^6.26 + t^6.3 + 2*t^6.38 + 2*t^6.45 + 2*t^6.52 + 2*t^6.64 + t^6.66 + 2*t^6.71 + 4*t^6.78 + t^6.85 + 2*t^6.9 - t^6.92 + 2*t^6.97 + 4*t^7.04 + 3*t^7.11 + t^7.16 + 2*t^7.23 + 5*t^7.3 + 3*t^7.37 + 3*t^7.44 + 3*t^7.56 + 3*t^7.63 + 3*t^7.7 + t^7.75 + 2*t^7.82 + 2*t^7.89 + t^7.93 + 4*t^7.96 + t^8.03 - t^8.08 - t^8.15 + t^8.19 + 3*t^8.22 + t^8.27 + 2*t^8.29 + t^8.31 + 2*t^8.34 + t^8.38 + 2*t^8.45 - 4*t^8.48 + 2*t^8.53 + 3*t^8.55 + 4*t^8.6 + t^8.62 + 2*t^8.71 + 2*t^8.79 + t^8.81 + 5*t^8.86 + t^8.88 + 2*t^8.93 + 2*t^8.97 - t^4.37/y - t^6.45/y - t^6.52/y - t^6.85/y - t^7.11/y + t^7.23/y + t^7.3/y - t^7.44/y + (2*t^7.56)/y + (3*t^7.63)/y + t^7.82/y + (2*t^7.89)/y + t^7.96/y + t^8.08/y + (2*t^8.15)/y + (4*t^8.22)/y + t^8.29/y + (2*t^8.48)/y - t^8.53/y + (2*t^8.55)/y - t^8.6/y + (2*t^8.74)/y + t^8.81/y + t^8.86/y - t^4.37*y - t^6.45*y - t^6.52*y - t^6.85*y - t^7.11*y + t^7.23*y + t^7.3*y - t^7.44*y + 2*t^7.56*y + 3*t^7.63*y + t^7.82*y + 2*t^7.89*y + t^7.96*y + t^8.08*y + 2*t^8.15*y + 4*t^8.22*y + t^8.29*y + 2*t^8.48*y - t^8.53*y + 2*t^8.55*y - t^8.6*y + 2*t^8.74*y + t^8.81*y + t^8.86*y | g1^32*t^2.08 + g1^10*t^2.15 + (2*t^2.48)/g1^8 + t^2.74/g1^4 + t^3. + t^3.07/g1^22 + t^3.59/g1^14 + g1^12*t^3.78 + g1^16*t^4.04 + g1^64*t^4.16 + g1^42*t^4.23 + 2*g1^20*t^4.3 + t^4.37/g1^2 + 2*g1^24*t^4.56 + 2*g1^2*t^4.63 + 2*g1^28*t^4.82 + g1^6*t^4.89 + (3*t^4.96)/g1^16 + g1^32*t^5.08 + 2*g1^10*t^5.15 + (3*t^5.22)/g1^12 + (2*t^5.48)/g1^8 + t^5.55/g1^30 + g1^18*t^5.67 + (2*t^5.74)/g1^4 + t^5.81/g1^26 + g1^44*t^5.86 - 2*t^6. + (2*t^6.07)/g1^22 + g1^48*t^6.12 + t^6.14/g1^44 + g1^26*t^6.19 + g1^96*t^6.23 + g1^4*t^6.26 + g1^74*t^6.3 + 2*g1^52*t^6.38 + 2*g1^30*t^6.45 + 2*g1^8*t^6.52 + 2*g1^56*t^6.64 + t^6.66/g1^36 + 2*g1^34*t^6.71 + 4*g1^12*t^6.78 + t^6.85/g1^10 + 2*g1^60*t^6.9 - t^6.92/g1^32 + 2*g1^38*t^6.97 + 4*g1^16*t^7.04 + (3*t^7.11)/g1^6 + g1^64*t^7.16 + 2*g1^42*t^7.23 + 5*g1^20*t^7.3 + (3*t^7.37)/g1^2 + (3*t^7.44)/g1^24 + 3*g1^24*t^7.56 + 3*g1^2*t^7.63 + (3*t^7.7)/g1^20 + g1^50*t^7.75 + 2*g1^28*t^7.82 + 2*g1^6*t^7.89 + g1^76*t^7.93 + (4*t^7.96)/g1^16 + t^8.03/g1^38 - g1^32*t^8.08 - g1^10*t^8.15 + g1^80*t^8.19 + (3*t^8.22)/g1^12 + g1^58*t^8.27 + (2*t^8.29)/g1^34 + g1^128*t^8.31 + 2*g1^36*t^8.34 + g1^106*t^8.38 + 2*g1^84*t^8.45 - (4*t^8.48)/g1^8 + 2*g1^62*t^8.53 + (3*t^8.55)/g1^30 + 4*g1^40*t^8.6 + t^8.62/g1^52 + 2*g1^88*t^8.71 + 2*g1^66*t^8.79 + t^8.81/g1^26 + 5*g1^44*t^8.86 + t^8.88/g1^48 + 2*g1^22*t^8.93 + 2*g1^92*t^8.97 - t^4.37/(g1^2*y) - (g1^30*t^6.45)/y - (g1^8*t^6.52)/y - t^6.85/(g1^10*y) - t^7.11/(g1^6*y) + (g1^42*t^7.23)/y + (g1^20*t^7.3)/y - t^7.44/(g1^24*y) + (2*g1^24*t^7.56)/y + (3*g1^2*t^7.63)/y + (g1^28*t^7.82)/y + (2*g1^6*t^7.89)/y + t^7.96/(g1^16*y) + (g1^32*t^8.08)/y + (2*g1^10*t^8.15)/y + (4*t^8.22)/(g1^12*y) + t^8.29/(g1^34*y) + (2*t^8.48)/(g1^8*y) - (g1^62*t^8.53)/y + (2*t^8.55)/(g1^30*y) - (g1^40*t^8.6)/y + (2*t^8.74)/(g1^4*y) + t^8.81/(g1^26*y) + (g1^44*t^8.86)/y - (t^4.37*y)/g1^2 - g1^30*t^6.45*y - g1^8*t^6.52*y - (t^6.85*y)/g1^10 - (t^7.11*y)/g1^6 + g1^42*t^7.23*y + g1^20*t^7.3*y - (t^7.44*y)/g1^24 + 2*g1^24*t^7.56*y + 3*g1^2*t^7.63*y + g1^28*t^7.82*y + 2*g1^6*t^7.89*y + (t^7.96*y)/g1^16 + g1^32*t^8.08*y + 2*g1^10*t^8.15*y + (4*t^8.22*y)/g1^12 + (t^8.29*y)/g1^34 + (2*t^8.48*y)/g1^8 - g1^62*t^8.53*y + (2*t^8.55*y)/g1^30 - g1^40*t^8.6*y + (2*t^8.74*y)/g1^4 + (t^8.81*y)/g1^26 + g1^44*t^8.86*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 |
|---|---|---|---|---|---|---|---|---|
| 6790 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1\tilde{q}_1$ + $ M_7q_2\tilde{q}_1$ + $ M_4X_1$ + $ M_8\phi_1q_1^2$ + $ M_6M_9$ | 0.6784 | 0.8496 | 0.7986 | [X:[1.3493], M:[1.0, 0.8254, 1.1746, 0.6507, 0.8254, 0.7183, 1.0198, 0.6985, 1.2817], q:[0.4226, 0.5774], qb:[0.4028, 0.7718], phi:[0.4563]] | t^2.1 + 2*t^2.48 + t^2.74 + t^3. + t^3.06 + t^3.58 + t^3.79 + t^3.85 + t^4.05 + t^4.19 + t^4.31 + t^4.37 + 2*t^4.57 + 2*t^4.83 + 3*t^4.95 + t^5.1 + t^5.15 + 2*t^5.21 + 2*t^5.48 + t^5.54 + t^5.68 + t^5.74 + t^5.8 + t^5.88 - 2*t^6. - t^4.37/y - t^4.37*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3577 | 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_1^2$ + $ M_2M_3$ + $ M_3M_5$ + $ \phi_1\tilde{q}_2^2$ + $ M_6\phi_1q_1\tilde{q}_1$ + $ M_7q_2\tilde{q}_1$ + $ M_4X_1$ | 0.678 | 0.8481 | 0.7995 | [X:[1.3541], M:[1.0, 0.823, 1.177, 0.6459, 0.823, 0.7213, 1.0131], q:[0.418, 0.582], qb:[0.4049, 0.7721], phi:[0.4557]] | t^2.16 + 2*t^2.47 + t^2.73 + t^3. + t^3.04 + t^3.57 + t^3.8 + t^3.88 + t^4.06 + 2*t^4.33 + t^4.37 + 2*t^4.63 + t^4.86 + t^4.9 + 3*t^4.94 + t^5.16 + 3*t^5.2 + 2*t^5.47 + t^5.51 + 2*t^5.73 + t^5.77 - 2*t^6. - t^4.37/y - t^4.37*y | detail |