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 |
|---|---|---|---|---|---|---|---|---|---|
| 204 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_1M_3$ | 0.7087 | 0.8668 | 0.8176 | [X:[], M:[0.9413, 0.8239, 1.0587], q:[0.588, 0.4707], qb:[0.588, 0.4707], phi:[0.4707]] | [X:[], M:[[-2, -2], [-6, -6], [2, 2]], q:[[4, 6], [-2, -4]], qb:[[2, 0], [0, 2]], phi:[[-1, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_1$, $ \phi_1^2$, $ q_2\tilde{q}_1$, $ M_3$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1\tilde{q}_2$, $ M_2^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1^2$, $ M_1M_2$, $ M_2\phi_1^2$, $ M_1^2$, $ M_2M_3$, $ M_1\phi_1^2$, $ \phi_1^4$, $ M_2\tilde{q}_1\tilde{q}_2$ | $M_3\phi_1^2$, $ M_1\tilde{q}_1\tilde{q}_2$ | 0 | t^2.47 + 2*t^2.82 + 4*t^3.18 + 3*t^4.24 + 4*t^4.59 + 4*t^4.94 + 2*t^5.3 + 3*t^5.65 + 5*t^6.35 + 3*t^6.71 + 6*t^7.06 + 9*t^7.41 + t^7.42 + 7*t^7.76 + 2*t^7.77 + 8*t^8.12 + 4*t^8.47 - t^4.41/y - t^6.88/y - t^7.24/y + t^7.59/y + t^7.94/y + (2*t^8.3)/y + (5*t^8.65)/y - t^4.41*y - t^6.88*y - t^7.24*y + t^7.59*y + t^7.94*y + 2*t^8.3*y + 5*t^8.65*y | t^2.47/(g1^6*g2^6) + (2*t^2.82)/(g1^2*g2^2) + t^3.18/g2^4 + 2*g1^2*g2^2*t^3.18 + g1^4*g2^8*t^3.18 + t^4.24/(g1^5*g2^9) + t^4.24/(g1^3*g2^3) + (g2^3*t^4.24)/g1 + t^4.59/(g1*g2^5) + 2*g1*g2*t^4.59 + g1^3*g2^7*t^4.59 + t^4.94/(g1^12*g2^12) + (g1^3*t^4.94)/g2 + g1^5*g2^5*t^4.94 + g1^7*g2^11*t^4.94 + (2*t^5.3)/(g1^8*g2^8) + (3*t^5.65)/(g1^4*g2^4) + t^6.35/g2^8 + (g1^2*t^6.35)/g2^2 + g1^4*g2^4*t^6.35 + g1^6*g2^10*t^6.35 + g1^8*g2^16*t^6.35 + t^6.71/(g1^11*g2^15) + t^6.71/(g1^9*g2^9) + t^6.71/(g1^7*g2^3) + (2*t^7.06)/(g1^7*g2^11) + (2*t^7.06)/(g1^5*g2^5) + (2*g2*t^7.06)/g1^3 + t^7.41/(g1^5*g2^13) + (2*t^7.41)/(g1^3*g2^7) + (3*t^7.41)/(g1*g2) + 2*g1*g2^5*t^7.41 + g1^3*g2^11*t^7.41 + t^7.42/(g1^18*g2^18) + t^7.76/(g1*g2^9) + (2*g1*t^7.76)/g2^3 + g1^3*g2^3*t^7.76 + 2*g1^5*g2^9*t^7.76 + g1^7*g2^15*t^7.76 + (2*t^7.77)/(g1^14*g2^14) + (3*t^8.12)/(g1^10*g2^10) + (g1^3*t^8.12)/g2^5 + g1^5*g2*t^8.12 + g1^7*g2^7*t^8.12 + g1^9*g2^13*t^8.12 + g1^11*g2^19*t^8.12 + t^8.47/(g1^10*g2^18) + (2*t^8.47)/(g1^6*g2^6) + (g2^6*t^8.47)/g1^2 + t^8.82/(g1^6*g2^14) - (2*t^8.82)/(g1^2*g2^2) + g1^2*g2^10*t^8.82 - t^4.41/(g1*g2*y) - t^6.88/(g1^7*g2^7*y) - t^7.24/(g1^3*g2^3*y) + (g1*g2*t^7.59)/y + (g1^5*g2^5*t^7.94)/y + (2*t^8.3)/(g1^8*g2^8*y) + t^8.65/(g1^6*g2^10*y) + (3*t^8.65)/(g1^4*g2^4*y) + (g2^2*t^8.65)/(g1^2*y) - (t^4.41*y)/(g1*g2) - (t^6.88*y)/(g1^7*g2^7) - (t^7.24*y)/(g1^3*g2^3) + g1*g2*t^7.59*y + g1^5*g2^5*t^7.94*y + (2*t^8.3*y)/(g1^8*g2^8) + (t^8.65*y)/(g1^6*g2^10) + (3*t^8.65*y)/(g1^4*g2^4) + (g2^2*t^8.65*y)/g1^2 |
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 |
|---|---|---|---|---|---|---|---|---|
| 323 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_4$ | 0.7145 | 0.8771 | 0.8147 | [X:[], M:[0.9328, 0.7984, 1.0672, 0.9328], q:[0.6008, 0.4664], qb:[0.6008, 0.4664], phi:[0.4664]] | t^2.4 + 3*t^2.8 + 3*t^3.2 + 3*t^4.2 + 4*t^4.6 + t^4.79 + 3*t^5. + 3*t^5.19 + 5*t^5.6 + t^6. - t^4.4/y - t^4.4*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 |
|---|---|---|---|---|---|---|---|---|---|
| 126 | SU2adj1nf2 | $M_1q_1q_2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_2\tilde{q}_2$ | 0.7546 | 0.9174 | 0.8226 | [X:[], M:[0.7904, 0.7904, 0.7904], q:[0.6048, 0.6048], qb:[0.6048, 0.6048], phi:[0.3952]] | 4*t^2.37 + 3*t^3.63 + 10*t^4.74 + 10*t^4.81 - 4*t^6. - t^4.19/y - t^4.19*y | detail |