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 |
|---|---|---|---|---|---|---|---|---|---|
| 46832 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_1$ | 0.6579 | 0.8086 | 0.8137 | [X:[], M:[1.1533, 1.0037, 0.8467, 0.7433, 1.1265, 0.9002], q:[0.3716, 0.4751], qb:[0.6247, 0.7816], phi:[0.4367]] | [X:[], M:[[1, -7], [-2, 8], [-1, 7], [2, -16], [0, 4], [1, -15]], q:[[1, -8], [-2, 15]], qb:[[1, 0], [0, 1]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_3$, $ M_6$, $ M_2$, $ M_5$, $ M_1$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_1$, $ M_4^2$, $ \phi_1q_2\tilde{q}_1$, $ M_3M_4$, $ \phi_1q_1\tilde{q}_2$, $ M_4M_6$, $ \phi_1\tilde{q}_1^2$, $ M_3^2$, $ \phi_1q_2\tilde{q}_2$, $ M_2M_4$, $ M_3M_6$, $ M_6^2$, $ M_4M_5$, $ M_2M_6$, $ M_4\phi_1q_1^2$, $ M_3M_5$ | . | -2 | t^2.23 + t^2.54 + t^2.7 + t^3.01 + t^3.38 + t^3.46 + t^3.54 + t^3.85 + t^4.16 + t^4.22 + t^4.3 + t^4.46 + t^4.61 + t^4.77 + t^4.93 + t^5.06 + t^5.08 + t^5.24 + t^5.4 + t^5.61 + t^5.71 + t^5.77 + t^5.92 - 2*t^6. + t^6.02 + 2*t^6.08 + t^6.16 + t^6.24 - t^6.31 + 2*t^6.39 + t^6.53 + t^6.55 + t^6.69 + t^6.7 + t^6.84 + t^6.86 + t^6.92 + 2*t^7. + t^7.08 + t^7.16 + t^7.17 + t^7.29 + t^7.31 + t^7.39 + t^7.47 + t^7.6 + t^7.62 + t^7.63 + t^7.68 + t^7.7 + t^7.76 + 2*t^7.84 + t^7.94 + t^8. + t^8.01 + t^8.1 + t^8.15 - 3*t^8.23 + t^8.25 + 2*t^8.31 + t^8.32 + t^8.41 + t^8.44 + t^8.46 + t^8.47 + t^8.52 - 3*t^8.54 + t^8.6 + 2*t^8.62 - 3*t^8.7 + t^8.72 + t^8.76 + t^8.77 + t^8.78 - t^8.85 + t^8.86 + t^8.92 + t^8.93 + t^8.94 - t^8.99 - t^4.31/y - t^6.54/y - t^7.01/y + t^7.3/y - t^7.32/y + t^7.61/y + t^7.77/y + t^7.93/y + t^8.08/y + (2*t^8.24)/y + t^8.55/y + t^8.61/y + t^8.69/y + t^8.71/y + t^8.92/y - t^4.31*y - t^6.54*y - t^7.01*y + t^7.3*y - t^7.32*y + t^7.61*y + t^7.77*y + t^7.93*y + t^8.08*y + 2*t^8.24*y + t^8.55*y + t^8.61*y + t^8.69*y + t^8.71*y + t^8.92*y | (g1^2*t^2.23)/g2^16 + (g2^7*t^2.54)/g1 + (g1*t^2.7)/g2^15 + (g2^8*t^3.01)/g1^2 + g2^4*t^3.38 + (g1*t^3.46)/g2^7 + (g1^2*t^3.54)/g2^18 + (g2^5*t^3.85)/g1 + (g2^28*t^4.16)/g1^4 + g1*g2*t^4.22 + (g1^2*t^4.3)/g2^10 + (g1^4*t^4.46)/g2^32 + (g2^13*t^4.61)/g1 + (g1*t^4.77)/g2^9 + (g1^3*t^4.93)/g2^31 + (g1^2*t^5.06)/g2^2 + (g2^14*t^5.08)/g1^2 + t^5.24/g2^8 + (g1^2*t^5.4)/g2^30 + (g1^2*t^5.61)/g2^12 + t^5.71/(g1*g2^7) + (g1^4*t^5.77)/g2^34 + (g2^11*t^5.92)/g1 - 2*t^6. + (g2^16*t^6.02)/g1^4 + (2*g1*t^6.08)/g2^11 + (g1^2*t^6.16)/g2^22 + (g1^3*t^6.24)/g2^33 - (g2^23*t^6.31)/g1^3 + (2*g2^12*t^6.39)/g1^2 + (g1^4*t^6.53)/g2^26 + t^6.55/g2^10 + (g1^6*t^6.69)/g2^48 + (g2^35*t^6.7)/g1^5 + (g1*t^6.84)/g2^3 + (g2^13*t^6.86)/g1^3 + (g1^2*t^6.92)/g2^14 + (2*g1^3*t^7.)/g2^25 + (g1^4*t^7.08)/g2^36 + (g1^5*t^7.16)/g2^47 + (g2^36*t^7.17)/g1^6 + (g1^4*t^7.29)/g2^18 + t^7.31/g2^2 + (g1*t^7.39)/g2^13 + (g1^2*t^7.47)/g2^24 + g1*g2^5*t^7.6 + (g2^21*t^7.62)/g1^3 + (g1^4*t^7.63)/g2^46 + (g1^2*t^7.68)/g2^6 + (g2^10*t^7.7)/g1^2 + (g1^3*t^7.76)/g2^17 + (2*g1^4*t^7.84)/g2^28 + (g1*t^7.94)/g2^23 + (g1^6*t^8.)/g2^50 + (g2^33*t^8.01)/g1^5 + (g1^3*t^8.1)/g2^45 + (g1*t^8.15)/g2^5 - (3*g1^2*t^8.23)/g2^16 + t^8.25/g1^2 + (2*g1^3*t^8.31)/g2^27 + (g2^56*t^8.32)/g1^8 + t^8.41/g2^22 + g1^2*g2^2*t^8.44 + (g2^18*t^8.46)/g1^2 + (g1^5*t^8.47)/g2^49 + (g1^3*t^8.52)/g2^9 - (3*g2^7*t^8.54)/g1 + (g1^4*t^8.6)/g2^20 + (2*t^8.62)/g2^4 - (3*g1*t^8.7)/g2^15 + (g2*t^8.72)/g1^3 + (g1^6*t^8.76)/g2^42 + (g2^41*t^8.77)/g1^5 + (g1^2*t^8.78)/g2^26 - (g2^30*t^8.85)/g1^4 + (g1^3*t^8.86)/g2^37 + (g1^8*t^8.92)/g2^64 + (g2^19*t^8.93)/g1^3 + (g1^4*t^8.94)/g2^48 - (g1^2*t^8.99)/g2^8 - t^4.31/(g2^2*y) - (g1^2*t^6.54)/(g2^18*y) - (g1*t^7.01)/(g2^17*y) + (g1^2*t^7.3)/(g2^10*y) - (g2^6*t^7.32)/(g1^2*y) + (g2^13*t^7.61)/(g1*y) + (g1*t^7.77)/(g2^9*y) + (g1^3*t^7.93)/(g2^31*y) + (g2^14*t^8.08)/(g1^2*y) + (2*t^8.24)/(g2^8*y) + (g2^15*t^8.55)/(g1^3*y) + (g1^2*t^8.61)/(g2^12*y) + (g1^3*t^8.69)/(g2^23*y) + t^8.71/(g1*g2^7*y) + (g2^11*t^8.92)/(g1*y) - (t^4.31*y)/g2^2 - (g1^2*t^6.54*y)/g2^18 - (g1*t^7.01*y)/g2^17 + (g1^2*t^7.3*y)/g2^10 - (g2^6*t^7.32*y)/g1^2 + (g2^13*t^7.61*y)/g1 + (g1*t^7.77*y)/g2^9 + (g1^3*t^7.93*y)/g2^31 + (g2^14*t^8.08*y)/g1^2 + (2*t^8.24*y)/g2^8 + (g2^15*t^8.55*y)/g1^3 + (g1^2*t^8.61*y)/g2^12 + (g1^3*t^8.69*y)/g2^23 + (t^8.71*y)/(g1*g2^7) + (g2^11*t^8.92*y)/g1 |
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 |
|---|---|---|---|---|---|---|---|---|
| 55075 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_4\phi_1q_1^2$ | 0.6562 | 0.8056 | 0.8146 | [X:[], M:[1.1677, 0.994, 0.8323, 0.7784, 1.1138, 0.9401], q:[0.3892, 0.4431], qb:[0.6167, 0.7784], phi:[0.4431]] | t^2.34 + t^2.5 + t^2.82 + t^2.98 + t^3.34 + t^3.5 + t^3.66 + t^3.83 + t^3.99 + t^4.19 + t^4.35 + t^4.51 + t^4.67 + t^4.83 + t^4.99 + t^5.03 + t^5.16 + t^5.32 + t^5.64 + t^5.68 + t^5.8 + t^5.84 + t^5.96 - t^6. - t^4.33/y - t^4.33*y | detail | |
| 55317 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ + $ M_6q_2\tilde{q}_1$ + $ M_6^2$ | 0.652 | 0.8005 | 0.8144 | [X:[], M:[1.1639, 1.0492, 0.8361, 0.7869, 1.082, 1.0], q:[0.3934, 0.4426], qb:[0.5574, 0.7705], phi:[0.459]] | t^2.36 + t^2.51 + t^3. + t^3.15 + t^3.25 + t^3.49 + t^3.74 + t^3.89 + t^3.98 + t^4.03 + t^4.23 + t^4.38 + 2*t^4.72 + t^4.87 + t^5.02 + t^5.36 + t^5.51 + t^5.61 + t^5.75 - t^6. - t^4.38/y - t^4.38*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46760 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_2^2$ + $ M_5\phi_1^2$ | 0.6522 | 0.7999 | 0.8154 | [X:[], M:[1.1615, 1.0397, 0.8385, 0.7772, 1.0915], q:[0.3886, 0.4499], qb:[0.5717, 0.7729], phi:[0.4542]] | t^2.33 + t^2.52 + t^3.06 + t^3.12 + t^3.27 + t^3.48 + t^3.69 + t^3.88 + t^4.03 + t^4.06 + t^4.24 + t^4.43 + t^4.66 + t^4.79 + t^4.85 + t^5.03 + t^5.4 + t^5.58 + t^5.61 + t^5.79 - 2*t^6. - t^4.36/y - t^4.36*y | detail |