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 |
|---|---|---|---|---|---|---|---|---|---|
| 3682 | 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_1M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1q_1^2$ + $ M_5q_2\tilde{q}_1$ + $ M_6\phi_1q_1\tilde{q}_1$ | 0.6555 | 0.8217 | 0.7977 | [X:[1.6173], M:[0.8518, 0.6792, 1.1482, 0.3827, 0.8086, 0.7655], q:[0.4043, 0.7439], qb:[0.4475, 0.8734], phi:[0.3827]] | [X:[[4]], M:[[12], [-28], [-12], [-4], [2], [-8]], q:[[1], [-13]], qb:[[11], [17]], phi:[[-4]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_6$, $ \phi_1^2$, $ M_5$, $ M_1$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ M_2^2$, $ M_2M_6$, $ M_2\phi_1^2$, $ M_2M_5$, $ M_1M_2$, $ M_6^2$, $ M_6\phi_1^2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_5M_6$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ M_1M_6$, $ M_1\phi_1^2$, $ X_1$, $ M_1M_5$, $ \phi_1q_1\tilde{q}_2$, $ M_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ \phi_1q_2^2$, $ M_3M_6$, $ M_3\phi_1^2$, $ M_3M_5$, $ M_6q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$ | . | -1 | t^2.04 + 2*t^2.3 + t^2.43 + t^2.56 + t^3.44 + t^3.57 + 2*t^3.83 + t^4.07 + 2*t^4.33 + t^4.46 + 4*t^4.59 + 2*t^4.72 + 4*t^4.85 + t^4.98 + t^5.11 + t^5.48 + t^5.61 + t^5.74 + 3*t^5.87 - t^6. + t^6.11 + 3*t^6.13 + t^6.26 + 2*t^6.37 + 2*t^6.39 + t^6.5 + 4*t^6.63 + 2*t^6.76 + 8*t^6.89 + 3*t^7.02 + 6*t^7.15 + 2*t^7.28 + 2*t^7.41 + t^7.52 - t^7.54 + t^7.65 + 3*t^7.67 + t^7.78 + 3*t^7.91 + t^8.15 + 3*t^8.17 - 2*t^8.3 + 2*t^8.41 + 2*t^8.43 + t^8.54 - 3*t^8.56 + 4*t^8.67 + 4*t^8.68 + 2*t^8.8 + 8*t^8.93 + 2*t^8.94 - t^4.15/y - t^6.19/y - (2*t^6.44)/y - t^6.57/y + (2*t^7.33)/y + t^7.46/y + (2*t^7.59)/y + (3*t^7.72)/y + (4*t^7.85)/y + t^7.98/y + t^8.11/y - t^8.22/y - t^8.48/y - t^8.74/y + (3*t^8.87)/y - t^4.15*y - t^6.19*y - 2*t^6.44*y - t^6.57*y + 2*t^7.33*y + t^7.46*y + 2*t^7.59*y + 3*t^7.72*y + 4*t^7.85*y + t^7.98*y + t^8.11*y - t^8.22*y - t^8.48*y - t^8.74*y + 3*t^8.87*y | t^2.04/g1^28 + (2*t^2.3)/g1^8 + g1^2*t^2.43 + g1^12*t^2.56 + t^3.44/g1^12 + t^3.57/g1^2 + 2*g1^18*t^3.83 + t^4.07/g1^56 + (2*t^4.33)/g1^36 + t^4.46/g1^26 + (4*t^4.59)/g1^16 + (2*t^4.72)/g1^6 + 4*g1^4*t^4.85 + g1^14*t^4.98 + g1^24*t^5.11 + t^5.48/g1^40 + t^5.61/g1^30 + t^5.74/g1^20 + (3*t^5.87)/g1^10 - t^6. + t^6.11/g1^84 + 3*g1^10*t^6.13 + g1^20*t^6.26 + (2*t^6.37)/g1^64 + 2*g1^30*t^6.39 + t^6.5/g1^54 + (4*t^6.63)/g1^44 + (2*t^6.76)/g1^34 + (8*t^6.89)/g1^24 + (3*t^7.02)/g1^14 + (6*t^7.15)/g1^4 + 2*g1^6*t^7.28 + 2*g1^16*t^7.41 + t^7.52/g1^68 - g1^26*t^7.54 + t^7.65/g1^58 + 3*g1^36*t^7.67 + t^7.78/g1^48 + (3*t^7.91)/g1^38 + t^8.15/g1^112 + (3*t^8.17)/g1^18 - (2*t^8.3)/g1^8 + (2*t^8.41)/g1^92 + 2*g1^2*t^8.43 + t^8.54/g1^82 - 3*g1^12*t^8.56 + (4*t^8.67)/g1^72 + 4*g1^22*t^8.68 + (2*t^8.8)/g1^62 + (8*t^8.93)/g1^52 + 2*g1^42*t^8.94 - t^4.15/(g1^4*y) - t^6.19/(g1^32*y) - (2*t^6.44)/(g1^12*y) - t^6.57/(g1^2*y) + (2*t^7.33)/(g1^36*y) + t^7.46/(g1^26*y) + (2*t^7.59)/(g1^16*y) + (3*t^7.72)/(g1^6*y) + (4*g1^4*t^7.85)/y + (g1^14*t^7.98)/y + (g1^24*t^8.11)/y - t^8.22/(g1^60*y) - t^8.48/(g1^40*y) - t^8.74/(g1^20*y) + (3*t^8.87)/(g1^10*y) - (t^4.15*y)/g1^4 - (t^6.19*y)/g1^32 - (2*t^6.44*y)/g1^12 - (t^6.57*y)/g1^2 + (2*t^7.33*y)/g1^36 + (t^7.46*y)/g1^26 + (2*t^7.59*y)/g1^16 + (3*t^7.72*y)/g1^6 + 4*g1^4*t^7.85*y + g1^14*t^7.98*y + g1^24*t^8.11*y - (t^8.22*y)/g1^60 - (t^8.48*y)/g1^40 - (t^8.74*y)/g1^20 + (3*t^8.87*y)/g1^10 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3951 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1q_1^2$ + $ M_5q_2\tilde{q}_1$ + $ M_6\phi_1q_1\tilde{q}_1$ + $ M_5M_7$ | 0.6395 | 0.7939 | 0.8055 | [X:[1.6178], M:[0.8533, 0.6756, 1.1467, 0.3822, 0.8089, 0.7645, 1.1911], q:[0.4044, 0.7423], qb:[0.4489, 0.8755], phi:[0.3822]] | t^2.03 + 2*t^2.29 + t^2.56 + t^3.44 + 2*t^3.57 + 2*t^3.84 + t^4.05 + 2*t^4.32 + 4*t^4.59 + 3*t^4.85 + t^5.12 + t^5.47 + 2*t^5.6 + t^5.73 + 4*t^5.87 - 2*t^6. - t^4.15/y - t^4.15*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3260 | 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_1M_3$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_5\phi_1q_1^2$ + $ M_5q_2\tilde{q}_1$ | 0.6372 | 0.7887 | 0.8079 | [X:[1.6157], M:[0.8471, 0.6901, 1.1529, 0.3843, 0.8078], q:[0.4039, 0.749], qb:[0.4432, 0.8667], phi:[0.3843]] | t^2.07 + t^2.31 + t^2.42 + t^2.54 + t^3.46 + t^3.58 + t^3.69 + 2*t^3.81 + t^4.14 + t^4.38 + t^4.49 + 2*t^4.61 + t^4.73 + 3*t^4.85 + t^4.96 + t^5.08 + t^5.53 + t^5.65 + t^5.76 + 2*t^5.88 - t^4.15/y - t^4.15*y | detail |