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 |
|---|---|---|---|---|---|---|---|---|---|
| 2749 | 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$ | 0.6384 | 0.7922 | 0.8058 | [X:[1.6159], M:[0.8476, 0.689, 1.1524, 0.3841, 0.77], q:[0.4229, 0.7295], qb:[0.4246, 0.8863], phi:[0.3841]] | [X:[[0, 1]], M:[[0, 3], [0, -7], [0, -3], [0, -1], [-2, 9]], 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 |
|---|---|---|---|---|
| $M_2$, $ \phi_1^2$, $ M_5$, $ M_1$, $ M_3$, $ q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_1\tilde{q}_2$, $ M_2^2$, $ M_2\phi_1^2$, $ M_2M_5$, $ M_1M_2$, $ \phi_1^4$, $ \phi_1q_1q_2$, $ M_5\phi_1^2$, $ \phi_1q_2\tilde{q}_1$, $ M_5^2$, $ M_1\phi_1^2$, $ X_1$, $ M_1M_5$, $ M_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ \phi_1q_2^2$, $ M_3\phi_1^2$, $ M_3M_5$, $ \phi_1^2q_2\tilde{q}_1$, $ M_5q_2\tilde{q}_1$ | $\phi_1^3q_1\tilde{q}_1$ | -1 | t^2.07 + t^2.3 + t^2.31 + t^2.54 + 2*t^3.46 + 2*t^3.7 + t^3.93 + t^4.13 + t^4.37 + t^4.38 + 3*t^4.61 + t^4.62 + 3*t^4.85 + t^5.09 + t^5.52 + t^5.53 + t^5.76 + 3*t^5.77 - t^6. + 3*t^6.01 + t^6.2 + 2*t^6.24 + 2*t^6.44 + t^6.47 + 3*t^6.68 + t^6.69 + 3*t^6.91 + 2*t^6.92 + 3*t^6.93 + 4*t^7.16 - t^7.39 + 2*t^7.4 + t^7.59 + t^7.6 + t^7.63 + 3*t^7.83 + t^7.84 + t^7.86 + t^8.07 + 3*t^8.08 + t^8.27 - 2*t^8.3 + 3*t^8.32 + 2*t^8.51 - 4*t^8.54 + 3*t^8.55 + 2*t^8.74 + 2*t^8.75 + t^8.79 + 3*t^8.98 + 4*t^8.99 - t^4.15/y - t^6.22/y - (2*t^6.46)/y + t^7.37/y + t^7.38/y + (2*t^7.61)/y + t^7.84/y + (3*t^7.85)/y + t^8.09/y - t^8.29/y + t^8.76/y + (2*t^8.77)/y + t^8.99/y - t^4.15*y - t^6.22*y - 2*t^6.46*y + t^7.37*y + t^7.38*y + 2*t^7.61*y + t^7.84*y + 3*t^7.85*y + t^8.09*y - t^8.29*y + t^8.76*y + 2*t^8.77*y + t^8.99*y | t^2.07/g2^7 + t^2.3/g2^2 + (g2^9*t^2.31)/g1^2 + g2^3*t^2.54 + t^3.46/g2^3 + (g2^8*t^3.46)/g1^2 + g2^2*t^3.7 + (g2^13*t^3.7)/g1^2 + (g1^2*t^3.93)/g2^4 + t^4.13/g2^14 + t^4.37/g2^9 + (g2^2*t^4.38)/g1^2 + (2*t^4.61)/g2^4 + (g2^7*t^4.61)/g1^2 + (g2^18*t^4.62)/g1^4 + 2*g2*t^4.85 + (g2^12*t^4.85)/g1^2 + g2^6*t^5.09 + t^5.52/g2^10 + (g2*t^5.53)/g1^2 + t^5.76/g2^5 + (2*g2^6*t^5.77)/g1^2 + (g2^17*t^5.77)/g1^4 - t^6. + (2*g2^11*t^6.01)/g1^2 + (g2^22*t^6.01)/g1^4 + t^6.2/g2^21 + g2^5*t^6.24 + (g2^16*t^6.24)/g1^2 + t^6.44/g2^16 + t^6.44/(g1^2*g2^5) + (g1^2*t^6.47)/g2 + t^6.68/g1^2 + (2*t^6.68)/g2^11 + (g2^11*t^6.69)/g1^4 + (3*t^6.91)/g2^6 + (2*g2^5*t^6.92)/g1^2 + (2*g2^16*t^6.93)/g1^4 + (g2^27*t^6.93)/g1^6 - (g1^2*t^7.15)/g2^12 + t^7.15/g2 + (2*g2^10*t^7.16)/g1^2 + (2*g2^21*t^7.16)/g1^4 - (g1^2*t^7.39)/g2^7 + (g2^15*t^7.4)/g1^2 + (g2^26*t^7.4)/g1^4 + t^7.59/g2^17 + t^7.6/(g1^2*g2^6) + g2^9*t^7.63 + t^7.83/g2^12 + (2*t^7.83)/(g1^2*g2) + (g2^10*t^7.84)/g1^4 + (g1^4*t^7.86)/g2^8 - t^8.07/g2^7 + (2*g2^4*t^8.07)/g1^2 + (2*g2^15*t^8.08)/g1^4 + (g2^26*t^8.08)/g1^6 + t^8.27/g2^28 - (g1^2*t^8.3)/g2^13 - t^8.3/g2^2 + (2*g2^20*t^8.32)/g1^4 + (g2^31*t^8.32)/g1^6 + t^8.51/g2^23 + t^8.51/(g1^2*g2^12) - (g1^2*t^8.54)/g2^8 - 3*g2^3*t^8.54 + (2*g2^14*t^8.55)/g1^2 + (g2^25*t^8.55)/g1^4 + (2*t^8.74)/g2^18 + t^8.75/(g1^2*g2^7) + (g2^4*t^8.75)/g1^4 + (g2^19*t^8.79)/g1^2 + (3*t^8.98)/g2^13 + (2*t^8.99)/(g1^2*g2^2) + (2*g2^9*t^8.99)/g1^4 - t^4.15/(g2*y) - t^6.22/(g2^8*y) - t^6.46/(g2^3*y) - (g2^8*t^6.46)/(g1^2*y) + t^7.37/(g2^9*y) + (g2^2*t^7.38)/(g1^2*y) + t^7.61/(g2^4*y) + (g2^7*t^7.61)/(g1^2*y) + (g1^2*t^7.84)/(g2^10*y) + (2*g2*t^7.85)/y + (g2^12*t^7.85)/(g1^2*y) + (g2^6*t^8.09)/y - t^8.29/(g2^15*y) + t^8.76/(g2^5*y) + (2*g2^6*t^8.77)/(g1^2*y) + (g1^2*t^8.99)/(g2^11*y) - (t^4.15*y)/g2 - (t^6.22*y)/g2^8 - (t^6.46*y)/g2^3 - (g2^8*t^6.46*y)/g1^2 + (t^7.37*y)/g2^9 + (g2^2*t^7.38*y)/g1^2 + (t^7.61*y)/g2^4 + (g2^7*t^7.61*y)/g1^2 + (g1^2*t^7.84*y)/g2^10 + 2*g2*t^7.85*y + (g2^12*t^7.85*y)/g1^2 + g2^6*t^8.09*y - (t^8.29*y)/g2^15 + (t^8.76*y)/g2^5 + (2*g2^6*t^8.77*y)/g1^2 + (g1^2*t^8.99*y)/g2^11 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3261 | $M_1q_1q_2$ + $ 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_2M_3$ | 0.6311 | 0.7832 | 0.8057 | [X:[1.6], M:[0.8, 0.8, 1.2, 0.4, 0.7651], q:[0.4175, 0.7825], qb:[0.3825, 0.8175], phi:[0.4]] | t^2.3 + 3*t^2.4 + 2*t^3.5 + 2*t^3.6 + t^3.7 + t^4.59 + 3*t^4.7 + 7*t^4.8 + 2*t^5.79 + 6*t^5.9 + 2*t^6. - t^4.2/y - t^4.2*y | detail | |
| 3260 | $M_1q_1q_2$ + $ 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 | |
| 3262 | $M_1q_1q_2$ + $ 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_6\phi_1q_1\tilde{q}_1$ | 0.6567 | 0.8254 | 0.7956 | [X:[1.6174], M:[0.8522, 0.6781, 1.1478, 0.3826, 0.7705, 0.7652], q:[0.4234, 0.7243], qb:[0.4288, 0.8931], phi:[0.3826]] | t^2.03 + 2*t^2.3 + t^2.31 + t^2.56 + t^3.44 + t^3.46 + t^3.72 + t^3.95 + t^4.07 + 2*t^4.33 + t^4.35 + 4*t^4.59 + 2*t^4.61 + t^4.62 + 3*t^4.85 + t^4.87 + t^5.11 + t^5.48 + t^5.49 + t^5.74 + 3*t^5.75 + t^5.77 - 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 |
|---|---|---|---|---|---|---|---|---|---|
| 1746 | 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$ | 0.6212 | 0.7607 | 0.8166 | [X:[1.6162], M:[0.8487, 0.6865, 1.1513, 0.3838], q:[0.4041, 0.7473], qb:[0.4446, 0.8689], phi:[0.3838]] | t^2.06 + t^2.3 + t^2.55 + t^3.45 + 2*t^3.58 + t^3.7 + 2*t^3.82 + t^4.12 + t^4.36 + 2*t^4.61 + 2*t^4.85 + t^5.09 + t^5.51 + 2*t^5.64 + t^5.76 + 2*t^5.88 - t^6. - t^4.15/y - t^4.15*y | detail |