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 |
|---|---|---|---|---|---|---|---|---|---|
| 46198 | 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$ + $ M_2\phi_1^2$ | 0.7004 | 0.8555 | 0.8187 | [X:[], M:[1.0, 1.0368, 1.0, 0.8895], q:[0.4448, 0.5552], qb:[0.5184, 0.5552], phi:[0.4816]] | [X:[], M:[[-3, 1], [2, 0], [3, -1], [-6, 0]], q:[[-3, 0], [6, -1]], qb:[[1, 0], [0, 1]], phi:[[-1, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ \phi_1^2$, $ M_3$, $ M_1$, $ M_2$, $ q_2\tilde{q}_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1q_2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1\tilde{q}_2^2$, $ M_4^2$, $ M_4\phi_1^2$, $ M_2M_4$, $ \phi_1^4$, $ M_3\phi_1^2$, $ M_4q_2\tilde{q}_1$, $ M_1\phi_1^2$, $ M_4\tilde{q}_1\tilde{q}_2$ | $M_1^2$, $ M_3^2$ | -2 | t^2.67 + t^2.89 + 2*t^3. + t^3.11 + 2*t^3.22 + t^4.11 + t^4.33 + 2*t^4.44 + t^4.56 + 2*t^4.67 + 3*t^4.78 + t^5.34 + t^5.56 + t^5.78 + 2*t^5.89 - 2*t^6. + 2*t^6.11 + 3*t^6.22 + 3*t^6.44 + t^6.78 + 2*t^7. + 2*t^7.11 + t^7.22 + 4*t^7.33 + 2*t^7.44 + 2*t^7.56 + 5*t^7.67 + 4*t^7.78 + 3*t^7.89 + 4*t^8. + t^8.01 + 2*t^8.23 + 2*t^8.45 + 2*t^8.56 - 2*t^8.67 + 2*t^8.78 - t^4.44/y - t^7.11/y + t^7.78/y + t^8.56/y + (2*t^8.67)/y + t^8.78/y + (4*t^8.89)/y - t^4.44*y - t^7.11*y + t^7.78*y + t^8.56*y + 2*t^8.67*y + t^8.78*y + 4*t^8.89*y | t^2.67/g1^6 + t^2.89/g1^2 + (g1^3*t^3.)/g2 + (g2*t^3.)/g1^3 + g1^2*t^3.11 + (g1^7*t^3.22)/g2 + g1*g2*t^3.22 + t^4.11/g1^7 + t^4.33/g1^3 + (g1^2*t^4.44)/g2 + (g2*t^4.44)/g1^4 + g1*t^4.56 + (g1^6*t^4.67)/g2 + g2*t^4.67 + g1^5*t^4.78 + (g1^11*t^4.78)/g2^2 + (g2^2*t^4.78)/g1 + t^5.34/g1^12 + t^5.56/g1^8 + t^5.78/g1^4 + (g1*t^5.89)/g2 + (g2*t^5.89)/g1^5 - 2*t^6. + (g1^5*t^6.11)/g2 + (g2*t^6.11)/g1 + g1^4*t^6.22 + (g1^10*t^6.22)/g2^2 + (g2^2*t^6.22)/g1^2 + g1^8*t^6.44 + (g1^14*t^6.44)/g2^2 + g1^2*g2^2*t^6.44 + t^6.78/g1^13 + (2*t^7.)/g1^9 + t^7.11/(g1^4*g2) + (g2*t^7.11)/g1^10 + t^7.22/g1^5 + (2*t^7.33)/g2 + (2*g2*t^7.33)/g1^6 + (g1^5*t^7.44)/g2^2 + (g2^2*t^7.44)/g1^7 + (g1^4*t^7.56)/g2 + (g2*t^7.56)/g1^2 + g1^3*t^7.67 + (2*g1^9*t^7.67)/g2^2 + (2*g2^2*t^7.67)/g1^3 + (g1^14*t^7.78)/g2^3 + (g1^8*t^7.78)/g2 + g1^2*g2*t^7.78 + (g2^3*t^7.78)/g1^4 + g1^7*t^7.89 + (g1^13*t^7.89)/g2^2 + g1*g2^2*t^7.89 + (g1^18*t^8.)/g2^3 + (g1^12*t^8.)/g2 + g1^6*g2*t^8. + g2^3*t^8. + t^8.01/g1^18 + (2*t^8.23)/g1^14 + (2*t^8.45)/g1^10 + t^8.56/(g1^5*g2) + (g2*t^8.56)/g1^11 - (2*t^8.67)/g1^6 + t^8.78/(g1*g2) + (g2*t^8.78)/g1^7 - (2*t^8.89)/g1^2 + (g1^4*t^8.89)/g2^2 + (g2^2*t^8.89)/g1^8 - t^4.44/(g1*y) - t^7.11/(g1^7*y) + (g1^5*t^7.78)/y + t^8.56/(g1^8*y) + t^8.67/(g1^3*g2*y) + (g2*t^8.67)/(g1^9*y) + t^8.78/(g1^4*y) + (2*g1*t^8.89)/(g2*y) + (2*g2*t^8.89)/(g1^5*y) - (t^4.44*y)/g1 - (t^7.11*y)/g1^7 + g1^5*t^7.78*y + (t^8.56*y)/g1^8 + (t^8.67*y)/(g1^3*g2) + (g2*t^8.67*y)/g1^9 + (t^8.78*y)/g1^4 + (2*g1*t^8.89*y)/g2 + (2*g2*t^8.89*y)/g1^5 |
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 |
|---|---|---|---|---|---|---|---|---|
| 46734 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_2M_5$ | 0.7041 | 0.8617 | 0.8171 | [X:[], M:[1.0, 1.0435, 1.0, 0.8694, 0.9565], q:[0.4347, 0.5653], qb:[0.5218, 0.5653], phi:[0.4782]] | t^2.61 + 2*t^2.87 + 2*t^3. + 2*t^3.26 + t^4.04 + t^4.3 + 2*t^4.43 + t^4.57 + 2*t^4.7 + 3*t^4.83 + t^5.22 + 2*t^5.48 + 2*t^5.74 + 4*t^5.87 - 3*t^6. - t^4.43/y - t^4.43*y | detail | |
| 46436 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_3\phi_1^2$ | 0.6987 | 0.854 | 0.8181 | [X:[], M:[0.9697, 1.0303, 1.0303, 0.9091], q:[0.4545, 0.5758], qb:[0.5152, 0.5152], phi:[0.4848]] | t^2.73 + 2*t^2.91 + 3*t^3.09 + t^3.27 + t^4.18 + 2*t^4.36 + 4*t^4.55 + 2*t^4.73 + t^4.91 + t^5.45 + t^5.64 + 2*t^5.82 + t^6. - t^4.45/y - t^4.45*y | detail | {a: 2029/2904, c: 310/363, M1: 32/33, M2: 34/33, M3: 34/33, M4: 10/11, q1: 5/11, q2: 19/33, qb1: 17/33, qb2: 17/33, phi1: 16/33} |
| 46777 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_5\phi_1^2$ | 0.6973 | 0.8507 | 0.8196 | [X:[], M:[1.0, 1.03, 1.0, 0.9101, 1.03], q:[0.4551, 0.5449], qb:[0.515, 0.5449], phi:[0.485]] | t^2.73 + 2*t^3. + 2*t^3.09 + 2*t^3.18 + t^4.19 + t^4.37 + 2*t^4.46 + t^4.54 + 2*t^4.63 + 3*t^4.72 + t^5.46 + t^5.82 - 3*t^6. - t^4.46/y - t^4.46*y | detail | |
| 46383 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ M_5\tilde{q}_1\tilde{q}_2$ | 0.7095 | 0.8721 | 0.8136 | [X:[], M:[1.0279, 1.0487, 0.9721, 0.8538, 0.8746], q:[0.4269, 0.5452], qb:[0.5244, 0.601], phi:[0.4756]] | t^2.56 + t^2.62 + t^2.85 + t^2.92 + t^3.08 + t^3.15 + t^3.21 + t^3.99 + t^4.28 + t^4.34 + t^4.51 + t^4.57 + t^4.64 + t^4.7 + t^4.8 + t^4.87 + t^5.03 + t^5.12 + t^5.19 + t^5.25 + t^5.42 + t^5.48 + t^5.54 + 2*t^5.71 + 2*t^5.77 + t^5.83 - 2*t^6. - t^4.43/y - t^4.43*y | detail | |
| 46725 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_2\phi_1^2$ + $ \phi_1\tilde{q}_2^2$ | 0.6584 | 0.8122 | 0.8107 | [X:[], M:[1.1514, 1.0789, 0.8486, 0.7633], q:[0.3816, 0.467], qb:[0.5395, 0.7697], phi:[0.4605]] | t^2.29 + t^2.55 + t^2.76 + t^3.02 + t^3.24 + t^3.45 + t^3.67 + 2*t^3.93 + t^4.14 + t^4.18 + t^4.4 + t^4.58 + t^4.62 + t^4.84 + t^5.05 + t^5.09 + 2*t^5.31 + t^5.53 + t^5.57 + t^5.78 + t^5.96 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 46032 | 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$ | 0.7126 | 0.866 | 0.8228 | [X:[], M:[1.0, 0.9022, 1.0, 0.9171], q:[0.4586, 0.5414], qb:[0.6393, 0.5414], phi:[0.4548]] | t^2.71 + t^2.73 + t^2.75 + 2*t^3. + 2*t^3.54 + t^4.12 + 2*t^4.36 + 3*t^4.61 + t^4.66 + 2*t^4.91 + t^5.2 + t^5.41 + t^5.44 + t^5.46 + t^5.48 + t^5.5 + 2*t^5.73 - 3*t^6. - t^4.36/y - t^4.36*y | detail |