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 |
|---|---|---|---|---|---|---|---|---|---|
| 1879 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3M_5$ + $ M_3M_6$ + $ \phi_1q_1q_2$ + $ M_1X_1$ | 0.617 | 0.7524 | 0.82 | [X:[1.6109], M:[0.3891, 1.2218, 1.1673, 0.7236, 0.8327, 0.8327], q:[0.8464, 0.7645], qb:[0.43, 0.4027], phi:[0.3891]] | [X:[[0, 1]], M:[[0, -1], [0, 2], [0, -3], [0, -7], [0, 3], [0, 3]], q:[[1, 4], [-1, -3]], qb:[[-1, 3], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_4$, $ M_5$, $ M_6$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ M_4^2$, $ M_4M_5$, $ M_4M_6$, $ \phi_1q_2\tilde{q}_2$, $ X_1$, $ M_5^2$, $ M_5M_6$, $ M_6^2$, $ \phi_1q_1\tilde{q}_1$, $ M_4\phi_1\tilde{q}_2^2$, $ \phi_1q_2^2$, $ M_4q_2\tilde{q}_1$, $ M_2M_4$, $ M_4\phi_1\tilde{q}_1\tilde{q}_2$ | . | -3 | t^2.17 + 2*t^2.5 + 2*t^3.58 + 2*t^3.67 + 2*t^3.75 + t^4.34 + 2*t^4.67 + t^4.83 + 3*t^5. + 2*t^5.75 + t^5.84 - 3*t^6. + 2*t^6.08 + 3*t^6.16 + 4*t^6.25 + t^6.51 + 2*t^6.84 - 2*t^7.09 + 3*t^7.17 + 5*t^7.33 + 2*t^7.41 + 6*t^7.49 + 2*t^7.93 + t^8.01 - 3*t^8.17 + 2*t^8.25 + t^8.33 - 6*t^8.5 + 2*t^8.58 + 3*t^8.66 + t^8.68 + 6*t^8.74 - t^4.17/y - t^6.34/y - t^6.67/y + (3*t^7.67)/y + (2*t^8.)/y - t^8.51/y + (2*t^8.75)/y + t^8.84/y + (2*t^8.92)/y - t^4.17*y - t^6.34*y - t^6.67*y + 3*t^7.67*y + 2*t^8.*y - t^8.51*y + 2*t^8.75*y + t^8.84*y + 2*t^8.92*y | t^2.17/g2^7 + 2*g2^3*t^2.5 + t^3.58/g1^2 + (g1^2*t^3.58)/g2 + 2*g2^2*t^3.67 + g1^2*g2^4*t^3.75 + (g2^5*t^3.75)/g1^2 + t^4.34/g2^14 + (2*t^4.67)/g2^4 + g2*t^4.83 + 3*g2^6*t^5. + (g1^2*t^5.75)/g2^8 + t^5.75/(g1^2*g2^7) + t^5.84/g2^5 - 3*t^6. + g1^2*g2^2*t^6.08 + (g2^3*t^6.08)/g1^2 + 3*g2^5*t^6.16 + 2*g1^2*g2^7*t^6.25 + (2*g2^8*t^6.25)/g1^2 + t^6.51/g2^21 + (2*t^6.84)/g2^11 - (g1^2*t^7.09)/g2^4 - t^7.09/(g1^2*g2^3) + t^7.17/g1^4 + (g1^4*t^7.17)/g2^2 + t^7.17/g2 + g1^4*g2^3*t^7.33 + 3*g2^4*t^7.33 + (g2^5*t^7.33)/g1^4 + g1^2*g2^6*t^7.41 + (g2^7*t^7.41)/g1^2 + g1^4*g2^8*t^7.49 + 4*g2^9*t^7.49 + (g2^10*t^7.49)/g1^4 + (g1^2*t^7.93)/g2^15 + t^7.93/(g1^2*g2^14) + t^8.01/g2^12 - (3*t^8.17)/g2^7 + (g1^2*t^8.25)/g2^5 + t^8.25/(g1^2*g2^4) + t^8.33/g2^2 - 6*g2^3*t^8.5 + g1^2*g2^5*t^8.58 + (g2^6*t^8.58)/g1^2 + 3*g2^8*t^8.66 + t^8.68/g2^28 + 3*g1^2*g2^10*t^8.74 + (3*g2^11*t^8.74)/g1^2 - t^4.17/(g2*y) - t^6.34/(g2^8*y) - (g2^2*t^6.67)/y + (3*t^7.67)/(g2^4*y) + (2*g2^6*t^8.)/y - t^8.51/(g2^15*y) + (g1^2*t^8.75)/(g2^8*y) + t^8.75/(g1^2*g2^7*y) + t^8.84/(g2^5*y) + (g1^2*t^8.92)/(g2^3*y) + t^8.92/(g1^2*g2^2*y) - (t^4.17*y)/g2 - (t^6.34*y)/g2^8 - g2^2*t^6.67*y + (3*t^7.67*y)/g2^4 + 2*g2^6*t^8.*y - (t^8.51*y)/g2^15 + (g1^2*t^8.75*y)/g2^8 + (t^8.75*y)/(g1^2*g2^7) + (t^8.84*y)/g2^5 + (g1^2*t^8.92*y)/g2^3 + (t^8.92*y)/(g1^2*g2^2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 2894 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3M_5$ + $ M_3M_6$ + $ \phi_1q_1q_2$ + $ M_1X_1$ + $ M_7q_2\tilde{q}_1$ | 0.6343 | 0.7843 | 0.8087 | [X:[1.6105], M:[0.3895, 1.2211, 1.1684, 0.7262, 0.8316, 0.8316, 0.7684], q:[0.8264, 0.7842], qb:[0.4474, 0.3842], phi:[0.3895]] | t^2.18 + t^2.31 + 2*t^2.49 + t^3.47 + t^3.63 + 2*t^3.66 + t^3.85 + t^4.36 + t^4.48 + t^4.61 + 2*t^4.67 + 2*t^4.8 + t^4.83 + 3*t^4.99 + t^5.65 + t^5.78 + t^5.84 + t^5.94 + 3*t^5.97 - 3*t^6. - t^4.17/y - t^4.17*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 |
|---|---|---|---|---|---|---|---|---|---|
| 533 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_1\tilde{q}_1$ + $ M_5q_2\tilde{q}_2$ + $ M_3M_5$ + $ M_3M_6$ | 0.7195 | 0.8802 | 0.8175 | [X:[], M:[0.7932, 1.0909, 1.0251, 0.8434, 0.9749, 0.9749], q:[0.6405, 0.5664], qb:[0.5161, 0.4588], phi:[0.4546]] | t^2.38 + t^2.53 + 2*t^2.92 + t^3.25 + t^3.27 + t^3.3 + t^4.12 + t^4.29 + t^4.44 + t^4.46 + t^4.61 + t^4.66 + 2*t^4.76 + t^4.83 + t^4.91 + t^4.98 + t^5.06 + t^5.21 + 2*t^5.3 + t^5.45 + t^5.65 + t^5.8 + 2*t^5.85 - 4*t^6. - t^4.36/y - t^4.36*y | detail |