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 |
|---|---|---|---|---|---|---|---|---|---|
| 645 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ | 0.7022 | 0.8636 | 0.8131 | [X:[], M:[0.9986, 1.1618, 0.9336, 1.0014, 0.7428, 0.6749], q:[0.7905, 0.5347], qb:[0.4668, 0.5318], phi:[0.4191]] | [X:[], M:[[7, 1], [-4, 0], [14, 0], [-7, -1], [-6, 0], [15, 1]], q:[[-1, 0], [-14, -1]], qb:[[7, 0], [0, 1]], phi:[[2, 0]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_6$, $ M_5$, $ M_3$, $ M_4$, $ M_1$, $ M_2$, $ q_1\tilde{q}_2$, $ M_6^2$, $ \phi_1\tilde{q}_1^2$, $ M_5M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ M_5^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_3M_6$, $ M_1M_6$, $ M_3M_5$, $ M_4M_6$, $ M_1M_5$, $ M_4M_5$, $ M_2M_6$, $ M_3^2$, $ M_2M_5$, $ M_1^2$, $ M_6q_1\tilde{q}_2$ | . | -2 | t^2.02 + t^2.23 + t^2.8 + 2*t^3. + t^3.49 + t^3.97 + t^4.05 + t^4.06 + 2*t^4.25 + t^4.26 + t^4.45 + 2*t^4.46 + t^4.47 + t^4.83 + t^5.02 + 2*t^5.03 + t^5.22 + t^5.23 + t^5.51 + t^5.6 + t^5.71 + t^5.99 - 2*t^6. + t^6.07 + t^6.08 - t^6.2 + 2*t^6.28 + 2*t^6.29 + t^6.47 + 3*t^6.48 + 2*t^6.49 + 3*t^6.68 + t^6.69 - t^6.78 + t^6.85 + t^6.86 + t^6.96 + t^7.04 + 3*t^7.05 + t^7.06 + 2*t^7.25 + 2*t^7.26 + t^7.27 + t^7.44 + 2*t^7.45 + t^7.46 + t^7.47 + t^7.53 + t^7.63 + t^7.74 + t^7.83 + t^7.93 + t^7.94 - t^8.02 - t^8.03 + t^8.1 + t^8.11 + t^8.12 - 4*t^8.23 - t^8.24 + 2*t^8.3 + 3*t^8.31 + t^8.32 + t^8.4 + t^8.41 - t^8.43 + t^8.5 + 7*t^8.51 + t^8.52 + 2*t^8.7 + 3*t^8.71 + 2*t^8.72 + t^8.73 - 4*t^8.8 + t^8.87 + t^8.88 + 3*t^8.9 + 3*t^8.91 + 2*t^8.92 + t^8.93 + t^8.99 - t^4.26/y - t^6.28/y - t^6.49/y - t^7.06/y + t^7.25/y + t^7.46/y + t^7.83/y + t^8.02/y + (3*t^8.03)/y + t^8.22/y + (2*t^8.23)/y - t^8.31/y + t^8.8/y + t^8.81/y + t^8.99/y - t^4.26*y - t^6.28*y - t^6.49*y - t^7.06*y + t^7.25*y + t^7.46*y + t^7.83*y + t^8.02*y + 3*t^8.03*y + t^8.22*y + 2*t^8.23*y - t^8.31*y + t^8.8*y + t^8.81*y + t^8.99*y | g1^15*g2*t^2.02 + t^2.23/g1^6 + g1^14*t^2.8 + t^3./(g1^7*g2) + g1^7*g2*t^3. + t^3.49/g1^4 + (g2*t^3.97)/g1 + g1^30*g2^2*t^4.05 + g1^16*t^4.06 + 2*g1^9*g2*t^4.25 + t^4.26/(g1^5*g2) + g1^2*g2^2*t^4.45 + (2*t^4.46)/g1^12 + t^4.47/(g1^26*g2^2) + g1^29*g2*t^4.83 + g1^22*g2^2*t^5.02 + 2*g1^8*t^5.03 + g1*g2*t^5.22 + t^5.23/(g1^13*g2) + g1^11*g2*t^5.51 + g1^28*t^5.6 + t^5.71/g1^10 + g1^14*g2^2*t^5.99 - 2*t^6. + g1^45*g2^3*t^6.07 + g1^31*g2*t^6.08 - t^6.2/(g1^21*g2) + 2*g1^24*g2^2*t^6.28 + 2*g1^10*t^6.29 + g1^17*g2^3*t^6.47 + 3*g1^3*g2*t^6.48 + (2*t^6.49)/(g1^11*g2) + (2*t^6.68)/g1^18 + (g2^2*t^6.68)/g1^4 + t^6.69/(g1^32*g2^2) - t^6.78/(g1*g2) + g1^44*g2^2*t^6.85 + g1^30*t^6.86 + g1^6*g2^2*t^6.96 + g1^37*g2^3*t^7.04 + 3*g1^23*g2*t^7.05 + (g1^9*t^7.06)/g2 + 2*g1^16*g2^2*t^7.25 + 2*g1^2*t^7.26 + t^7.27/(g1^12*g2^2) + g1^9*g2^3*t^7.44 + (2*g2*t^7.45)/g1^5 + t^7.46/(g1^19*g2) + t^7.47/(g1^33*g2^3) + g1^26*g2^2*t^7.53 + g1^43*g2*t^7.63 + g1^5*g2*t^7.74 + g1^22*t^7.83 + (g2^2*t^7.93)/g1^2 + t^7.94/g1^16 - 2*g1^15*g2*t^8.02 + g1^29*g2^3*t^8.02 - (g1*t^8.03)/g2 + g1^60*g2^4*t^8.1 + g1^46*g2^2*t^8.11 + g1^32*t^8.12 - (4*t^8.23)/g1^6 - t^8.24/(g1^20*g2^2) + 2*g1^39*g2^3*t^8.3 + 3*g1^25*g2*t^8.31 + (g1^11*t^8.32)/g2 + g1^42*t^8.4 + g1*g2^3*t^8.41 - t^8.43/(g1^27*g2) + g1^32*g2^4*t^8.5 + 3*g1^4*t^8.51 + 4*g1^18*g2^2*t^8.51 + t^8.52/(g1^10*g2^2) + 2*g1^11*g2^3*t^8.7 + (3*g2*t^8.71)/g1^3 + (2*t^8.72)/(g1^17*g2) + t^8.73/(g1^31*g2^3) - 4*g1^14*t^8.8 + g1^59*g2^3*t^8.87 + g1^45*g2*t^8.88 + (2*g2^2*t^8.9)/g1^10 + g1^4*g2^4*t^8.9 + (3*t^8.91)/g1^24 + (2*t^8.92)/(g1^38*g2^2) + t^8.93/(g1^52*g2^4) + g1^21*g2^3*t^8.99 - (g1^2*t^4.26)/y - (g1^17*g2*t^6.28)/y - t^6.49/(g1^4*y) - (g1^16*t^7.06)/y + (g1^9*g2*t^7.25)/y + t^7.46/(g1^12*y) + (g1^29*g2*t^7.83)/y + (g1^22*g2^2*t^8.02)/y + (3*g1^8*t^8.03)/y + (g1*g2*t^8.22)/y + (2*t^8.23)/(g1^13*g2*y) - (g1^32*g2^2*t^8.31)/y + (g1^21*g2*t^8.8)/y + (g1^7*t^8.81)/(g2*y) + (g1^14*g2^2*t^8.99)/y - g1^2*t^4.26*y - g1^17*g2*t^6.28*y - (t^6.49*y)/g1^4 - g1^16*t^7.06*y + g1^9*g2*t^7.25*y + (t^7.46*y)/g1^12 + g1^29*g2*t^7.83*y + g1^22*g2^2*t^8.02*y + 3*g1^8*t^8.03*y + g1*g2*t^8.22*y + (2*t^8.23*y)/(g1^13*g2) - g1^32*g2^2*t^8.31*y + g1^21*g2*t^8.8*y + (g1^7*t^8.81*y)/g2 + g1^14*g2^2*t^8.99*y |
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 |
|---|---|---|---|---|---|---|---|---|
| 1029 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_1M_5$ | 0.6337 | 0.7854 | 0.8068 | [X:[], M:[1.1789, 1.214, 0.7509, 0.8211, 0.8211, 0.7509], q:[0.8035, 0.4456], qb:[0.3754, 0.8035], phi:[0.393]] | 2*t^2.25 + 2*t^2.46 + t^3.43 + t^3.54 + 2*t^3.64 + t^3.85 + 3*t^4.51 + 4*t^4.72 + t^4.82 + 3*t^4.93 + 2*t^5.68 + t^5.79 + 4*t^5.89 - t^6. - t^4.18/y - t^4.18*y | detail | {a: 68629/108300, c: 21266/27075, M1: 112/95, M2: 346/285, M3: 214/285, M4: 78/95, M5: 78/95, M6: 214/285, q1: 229/285, q2: 127/285, qb1: 107/285, qb2: 229/285, phi1: 112/285} |
| 1025 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3M_6$ + $ M_5X_1$ | 0.6373 | 0.7722 | 0.8253 | [X:[1.3537], M:[1.0366, 1.0976, 1.1585, 0.9634, 0.6463, 0.8415], q:[0.7744, 0.3841], qb:[0.5793, 0.4573], phi:[0.4512]] | t^2.52 + t^2.89 + t^3.11 + t^3.29 + t^3.48 + t^3.66 + t^3.7 + t^3.88 + t^4.06 + t^4.1 + t^4.24 + t^4.46 + t^4.83 + t^5.05 + t^5.82 - t^6. - t^4.35/y - t^4.35*y | detail | |
| 1028 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_3^2$ | 0.6987 | 0.8598 | 0.8126 | [X:[], M:[0.9936, 1.1429, 1.0, 1.0064, 0.7143, 0.7078], q:[0.7857, 0.5064], qb:[0.5, 0.4936], phi:[0.4286]] | t^2.12 + t^2.14 + t^2.98 + t^3. + t^3.02 + t^3.43 + t^3.84 + 2*t^4.25 + 2*t^4.27 + 3*t^4.29 + t^4.31 + t^4.32 + t^5.1 + 2*t^5.12 + 2*t^5.14 + t^5.16 + t^5.55 + t^5.57 + t^5.96 - t^6. - t^4.29/y - t^4.29*y | detail | |
| 1026 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_5M_7$ | 0.683 | 0.8286 | 0.8242 | [X:[], M:[0.9994, 1.1648, 0.9231, 1.0006, 0.7472, 0.6698, 1.2528], q:[0.7912, 0.539], qb:[0.4615, 0.5379], phi:[0.4176]] | t^2.01 + t^2.77 + 2*t^3. + t^3.49 + t^3.76 + t^3.99 + 2*t^4.02 + 2*t^4.25 + 2*t^4.48 + t^4.49 + t^4.78 + 2*t^5.01 + t^5.5 + t^5.54 + t^5.77 - t^6. - t^4.25/y - t^4.25*y | detail | |
| 1024 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_6q_1\tilde{q}_2$ | 0.7022 | 0.8635 | 0.8132 | [X:[], M:[1.0, 1.1619, 0.9333, 1.0, 0.7429, 0.6762], q:[0.7905, 0.5334], qb:[0.4666, 0.5334], phi:[0.419]] | t^2.03 + t^2.23 + t^2.8 + 2*t^3. + t^3.49 + t^3.97 + 2*t^4.06 + 3*t^4.26 + 4*t^4.46 + t^4.83 + 3*t^5.03 + 2*t^5.23 + t^5.51 + t^5.6 + t^5.71 - t^6. - t^4.26/y - t^4.26*y | detail | |
| 1027 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ + $ M_6q_1q_2$ + $ M_7q_1\tilde{q}_2$ | 0.723 | 0.9046 | 0.7992 | [X:[], M:[1.0, 1.1624, 0.9316, 1.0, 0.7436, 0.6752, 0.6752], q:[0.7906, 0.5342], qb:[0.4658, 0.5342], phi:[0.4188]] | 2*t^2.03 + t^2.23 + t^2.79 + 2*t^3. + t^3.49 + 4*t^4.05 + 4*t^4.26 + 4*t^4.46 + 2*t^4.82 + 5*t^5.03 + 2*t^5.23 + 2*t^5.51 + t^5.59 + t^5.72 - 2*t^6. - t^4.26/y - t^4.26*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 |
|---|---|---|---|---|---|---|---|---|---|
| 400 | SU2adj1nf2 | $\phi_1q_1^2$ + $ M_1q_2\tilde{q}_1$ + $ M_2\phi_1^2$ + $ M_3q_2\tilde{q}_2$ + $ M_4\tilde{q}_1\tilde{q}_2$ + $ M_1M_4$ + $ M_5q_1\tilde{q}_1$ | 0.6814 | 0.8225 | 0.8284 | [X:[], M:[1.0, 1.1613, 0.9353, 1.0, 0.742], q:[0.7903, 0.5323], qb:[0.4677, 0.5323], phi:[0.4193]] | t^2.23 + t^2.81 + 2*t^3. + t^3.48 + 2*t^3.97 + t^4.06 + 2*t^4.26 + 4*t^4.45 + t^5.03 + 2*t^5.23 + t^5.61 + t^5.71 - 2*t^6. - t^4.26/y - t^4.26*y | detail |