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 |
|---|---|---|---|---|---|---|---|---|---|
| 2831 | 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$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1\tilde{q}_1^2$ | 0.6546 | 0.8215 | 0.7969 | [X:[1.6145], M:[0.8434, 0.6986, 1.1566, 0.3855, 0.8434, 0.7153], q:[0.3939, 0.7627], qb:[0.4496, 0.8518], phi:[0.3855]] | [X:[[0, 1]], M:[[0, 3], [0, -7], [0, -3], [0, -1], [0, 3], [2, -13]], q:[[1, -4], [-1, 1]], qb:[[-1, 7], [1, 0]], phi:[[0, -1]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_2$, $ M_6$, $ \phi_1^2$, $ M_1$, $ M_5$, $ \phi_1q_1^2$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_2^2$, $ M_2M_6$, $ M_6^2$, $ M_2\phi_1^2$, $ M_6\phi_1^2$, $ M_1M_2$, $ M_2M_5$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_1M_6$, $ M_5M_6$, $ M_1\phi_1^2$, $ M_5\phi_1^2$, $ X_1$, $ M_1^2$, $ M_1M_5$, $ M_5^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2\phi_1q_1^2$, $ M_6\phi_1q_1^2$, $ \phi_1q_2^2$, $ M_6q_2\tilde{q}_1$, $ \phi_1^3q_1^2$, $ M_6\phi_1q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_2$ | $\phi_1^3q_1\tilde{q}_1$ | -2 | t^2.1 + t^2.15 + t^2.31 + 2*t^2.53 + t^3.52 + t^3.64 + t^3.69 + t^3.74 + t^4.19 + t^4.24 + t^4.29 + t^4.41 + t^4.46 + 3*t^4.63 + 2*t^4.68 + 3*t^4.84 + 3*t^5.06 + t^5.62 + t^5.67 + t^5.73 + t^5.78 + 2*t^5.83 + t^5.88 - 2*t^6. + 2*t^6.05 + t^6.17 + t^6.22 + 2*t^6.27 + t^6.29 + t^6.34 + t^6.39 + t^6.44 + t^6.5 + t^6.56 + t^6.61 + 3*t^6.72 + 3*t^6.77 + 2*t^6.82 + 3*t^6.94 + 2*t^6.99 + t^7.04 - t^7.11 + 4*t^7.16 + 2*t^7.21 + t^7.26 + t^7.27 - t^7.32 + 3*t^7.37 + t^7.47 - t^7.54 + 3*t^7.59 + t^7.71 + t^7.76 + t^7.81 + t^7.83 + t^7.88 + 2*t^7.93 + 2*t^7.98 + t^8.03 - 3*t^8.1 + 2*t^8.2 + t^8.26 - 2*t^8.31 + 3*t^8.36 + t^8.38 + 2*t^8.41 + t^8.43 - 5*t^8.53 + 4*t^8.58 + t^8.6 + t^8.65 + t^8.7 + t^8.75 + 3*t^8.8 + 3*t^8.82 + 3*t^8.87 + 3*t^8.92 + 2*t^8.97 - t^4.16/y - t^6.25/y - t^6.3/y - t^6.47/y - t^6.69/y + t^7.24/y + t^7.41/y + t^7.46/y + (3*t^7.63)/y + (2*t^7.68)/y + (3*t^7.84)/y + t^8.01/y + (2*t^8.06)/y - t^8.35/y - t^8.4/y - t^8.45/y - t^8.57/y + t^8.67/y + t^8.73/y + (2*t^8.83)/y + t^8.88/y + t^8.95/y - t^4.16*y - t^6.25*y - t^6.3*y - t^6.47*y - t^6.69*y + t^7.24*y + t^7.41*y + t^7.46*y + 3*t^7.63*y + 2*t^7.68*y + 3*t^7.84*y + t^8.01*y + 2*t^8.06*y - t^8.35*y - t^8.4*y - t^8.45*y - t^8.57*y + t^8.67*y + t^8.73*y + 2*t^8.83*y + t^8.88*y + t^8.95*y | t^2.1/g2^7 + (g1^2*t^2.15)/g2^13 + t^2.31/g2^2 + 2*g2^3*t^2.53 + (g1^2*t^3.52)/g2^9 + (g2^8*t^3.64)/g1^2 + g2^2*t^3.69 + (g1^2*t^3.74)/g2^4 + t^4.19/g2^14 + (g1^2*t^4.24)/g2^20 + (g1^4*t^4.29)/g2^26 + t^4.41/g2^9 + (g1^2*t^4.46)/g2^15 + (3*t^4.63)/g2^4 + (2*g1^2*t^4.68)/g2^10 + 3*g2*t^4.84 + 3*g2^6*t^5.06 + (g1^2*t^5.62)/g2^16 + (g1^4*t^5.67)/g2^22 + (g2*t^5.73)/g1^2 + t^5.78/g2^5 + (2*g1^2*t^5.83)/g2^11 + (g1^4*t^5.88)/g2^17 - 2*t^6. + (2*g1^2*t^6.05)/g2^6 + (g2^11*t^6.17)/g1^2 + g2^5*t^6.22 + (2*g1^2*t^6.27)/g2 + t^6.29/g2^21 + (g1^2*t^6.34)/g2^27 + (g1^4*t^6.39)/g2^33 + (g1^6*t^6.44)/g2^39 + t^6.5/g2^16 + (g1^2*t^6.56)/g2^22 + (g1^4*t^6.61)/g2^28 + (3*t^6.72)/g2^11 + (3*g1^2*t^6.77)/g2^17 + (2*g1^4*t^6.82)/g2^23 + (3*t^6.94)/g2^6 + (2*g1^2*t^6.99)/g2^12 + (g1^4*t^7.04)/g2^18 - (g2^5*t^7.11)/g1^2 + (4*t^7.16)/g2 + (2*g1^2*t^7.21)/g2^7 + (g1^4*t^7.26)/g2^13 + (g2^16*t^7.27)/g1^4 - (g2^10*t^7.32)/g1^2 + 3*g2^4*t^7.37 + (g1^4*t^7.47)/g2^8 - (g2^15*t^7.54)/g1^2 + 3*g2^9*t^7.59 + (g1^2*t^7.71)/g2^23 + (g1^4*t^7.76)/g2^29 + (g1^6*t^7.81)/g2^35 + t^7.83/(g1^2*g2^6) + t^7.88/g2^12 + (2*g1^2*t^7.93)/g2^18 + (2*g1^4*t^7.98)/g2^24 + (g1^6*t^8.03)/g2^30 - (3*t^8.1)/g2^7 + (2*g1^4*t^8.2)/g2^19 + (g2^4*t^8.26)/g1^2 - (2*t^8.31)/g2^2 + (3*g1^2*t^8.36)/g2^8 + t^8.38/g2^28 + (2*g1^4*t^8.41)/g2^14 + (g1^2*t^8.43)/g2^34 + (g1^4*t^8.48)/g2^40 - (g2^9*t^8.48)/g1^2 + (g1^6*t^8.53)/g2^46 - 6*g2^3*t^8.53 + (g1^8*t^8.58)/g2^52 + (3*g1^2*t^8.58)/g2^3 + t^8.6/g2^23 + (g1^2*t^8.65)/g2^29 + (g1^4*t^8.7)/g2^35 + (g1^6*t^8.75)/g2^41 + 3*g1^2*g2^2*t^8.8 + (3*t^8.82)/g2^18 + (3*g1^2*t^8.87)/g2^24 + (3*g1^4*t^8.92)/g2^30 + (2*g1^6*t^8.97)/g2^36 - t^4.16/(g2*y) - t^6.25/(g2^8*y) - (g1^2*t^6.3)/(g2^14*y) - t^6.47/(g2^3*y) - (g2^2*t^6.69)/y + (g1^2*t^7.24)/(g2^20*y) + t^7.41/(g2^9*y) + (g1^2*t^7.46)/(g2^15*y) + (3*t^7.63)/(g2^4*y) + (2*g1^2*t^7.68)/(g2^10*y) + (3*g2*t^7.84)/y + (g2^12*t^8.01)/(g1^2*y) + (2*g2^6*t^8.06)/y - t^8.35/(g2^15*y) - (g1^2*t^8.4)/(g2^21*y) - (g1^4*t^8.45)/(g2^27*y) - t^8.57/(g2^10*y) + (g1^4*t^8.67)/(g2^22*y) + (g2*t^8.73)/(g1^2*y) + (2*g1^2*t^8.83)/(g2^11*y) + (g1^4*t^8.88)/(g2^17*y) + (g2^6*t^8.95)/(g1^2*y) - (t^4.16*y)/g2 - (t^6.25*y)/g2^8 - (g1^2*t^6.3*y)/g2^14 - (t^6.47*y)/g2^3 - g2^2*t^6.69*y + (g1^2*t^7.24*y)/g2^20 + (t^7.41*y)/g2^9 + (g1^2*t^7.46*y)/g2^15 + (3*t^7.63*y)/g2^4 + (2*g1^2*t^7.68*y)/g2^10 + 3*g2*t^7.84*y + (g2^12*t^8.01*y)/g1^2 + 2*g2^6*t^8.06*y - (t^8.35*y)/g2^15 - (g1^2*t^8.4*y)/g2^21 - (g1^4*t^8.45*y)/g2^27 - (t^8.57*y)/g2^10 + (g1^4*t^8.67*y)/g2^22 + (g2*t^8.73*y)/g1^2 + (2*g1^2*t^8.83*y)/g2^11 + (g1^4*t^8.88*y)/g2^17 + (g2^6*t^8.95*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 |
|---|---|---|---|---|---|---|---|---|
| 3377 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_2M_7$ | 0.6342 | 0.7831 | 0.8099 | [X:[1.6118], M:[0.8354, 0.7174, 1.1646, 0.3882, 0.8354, 0.7243, 1.2826], q:[0.3916, 0.773], qb:[0.4437, 0.8388], phi:[0.3882]] | t^2.17 + t^2.33 + 2*t^2.51 + t^3.51 + t^3.65 + t^3.67 + t^3.69 + t^3.85 + t^4.35 + t^4.5 + t^4.66 + 2*t^4.68 + 3*t^4.84 + 3*t^5.01 + t^5.69 + t^5.84 + t^5.86 - 2*t^6. - t^4.16/y - t^4.16*y | detail | |
| 3381 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_6q_1\tilde{q}_2$ | 0.6543 | 0.8201 | 0.7978 | [X:[1.615], M:[0.8451, 0.6947, 1.1549, 0.385, 0.8451, 0.7323], q:[0.4038, 0.7511], qb:[0.4414, 0.8639], phi:[0.385]] | t^2.08 + t^2.2 + t^2.31 + 2*t^2.54 + 2*t^3.58 + t^3.69 + t^3.8 + t^4.17 + t^4.28 + 2*t^4.39 + t^4.51 + 3*t^4.62 + 2*t^4.73 + 3*t^4.85 + 3*t^5.07 + 2*t^5.66 + 2*t^5.77 + 2*t^5.89 - t^6. - t^4.15/y - t^4.15*y | detail | |
| 3378 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_6q_2\tilde{q}_1$ | 0.6476 | 0.8122 | 0.7972 | [X:[1.6], M:[0.8, 0.8, 1.2, 0.4, 0.8, 0.7651], q:[0.3825, 0.8175], qb:[0.4175, 0.7825], phi:[0.4]] | t^2.3 + 4*t^2.4 + 2*t^3.5 + t^3.6 + t^3.7 + t^4.59 + 4*t^4.7 + 11*t^4.8 + 2*t^5.79 + 7*t^5.9 - t^4.2/y - t^4.2*y | detail | |
| 3379 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7\phi_1q_1\tilde{q}_1$ | 0.6728 | 0.8544 | 0.7875 | [X:[1.6159], M:[0.8476, 0.6889, 1.1524, 0.3841, 0.8476, 0.7107, 0.7683], q:[0.395, 0.7573], qb:[0.4526, 0.8585], phi:[0.3841]] | t^2.07 + t^2.13 + 2*t^2.3 + 2*t^2.54 + t^3.52 + t^3.63 + t^3.76 + t^4.13 + t^4.2 + t^4.26 + 2*t^4.37 + 2*t^4.44 + 5*t^4.61 + 2*t^4.68 + 5*t^4.85 + 3*t^5.09 + t^5.59 + t^5.65 + t^5.7 + 2*t^5.83 + t^5.89 + t^5.93 - 3*t^6. - t^4.15/y - t^4.15*y | detail | |
| 3380 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ + $ M_6\phi_1\tilde{q}_1^2$ + $ M_7q_1\tilde{q}_2$ | 0.6741 | 0.8576 | 0.7861 | [X:[1.6169], M:[0.8507, 0.6818, 1.1493, 0.3831, 0.8507, 0.724, 0.724], q:[0.4042, 0.7451], qb:[0.4464, 0.8718], phi:[0.3831]] | t^2.05 + 2*t^2.17 + t^2.3 + 2*t^2.55 + 2*t^3.57 + t^3.7 + t^4.09 + 2*t^4.22 + 4*t^4.34 + 2*t^4.47 + 3*t^4.6 + 4*t^4.72 + 3*t^4.85 + 3*t^5.1 + 2*t^5.62 + 4*t^5.75 + 2*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1814 | 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$ + $ M_3M_5$ + $ \phi_1q_2\tilde{q}_2$ + $ M_4X_1$ | 0.6348 | 0.784 | 0.8097 | [X:[1.6126], M:[0.8379, 0.7117, 1.1621, 0.3874, 0.8379], q:[0.4032, 0.759], qb:[0.4347, 0.8536], phi:[0.3874]] | t^2.13 + t^2.32 + 2*t^2.51 + 2*t^3.58 + t^3.68 + 2*t^3.77 + t^4.27 + t^4.46 + 3*t^4.65 + 3*t^4.84 + 3*t^5.03 + 2*t^5.72 + 2*t^5.91 - 2*t^6. - t^4.16/y - t^4.16*y | detail |