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 |
|---|---|---|---|---|---|---|---|---|---|
| 2780 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ | 0.6276 | 0.8128 | 0.7721 | [X:[], M:[1.0, 1.0367, 0.9266, 0.7592, 0.7225], q:[0.7592, 0.2408], qb:[0.5183, 0.555], phi:[0.4817]] | [X:[], M:[[0], [4], [-8], [1], [-3]], q:[[1], [-1]], qb:[[2], [6]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $M_5$, $ M_4$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_3$, $ \phi_1q_2^2$, $ M_1$, $ M_2$, $ \phi_1q_2\tilde{q}_2$, $ q_1\tilde{q}_2$, $ M_5^2$, $ M_4M_5$, $ \phi_1q_1q_2$, $ M_5q_2\tilde{q}_1$, $ M_4^2$, $ M_4q_2\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ q_2^2\tilde{q}_1^2$, $ M_5q_2\tilde{q}_2$, $ M_4q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ q_2^2\tilde{q}_2^2$, $ M_3M_5$, $ M_3M_4$, $ M_5\phi_1q_2^2$, $ M_1M_5$, $ M_4\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_1M_4$, $ M_2M_5$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2^3\tilde{q}_2$, $ M_2M_4$, $ M_2q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_2q_2\tilde{q}_2$, $ M_3^2$, $ M_3\phi_1q_2^2$, $ M_1M_3$, $ \phi_1^2q_2^4$ | . | -1 | t^2.17 + 2*t^2.28 + t^2.39 + t^2.78 + t^2.89 + t^3. + t^3.11 + t^3.83 + t^3.94 + t^4.33 + 2*t^4.44 + 5*t^4.56 + 3*t^4.67 + 2*t^4.78 + t^4.95 + 2*t^5.06 + 3*t^5.17 + 4*t^5.28 + 3*t^5.39 + t^5.5 + t^5.56 + t^5.67 + 2*t^5.78 - t^6. + 2*t^6.11 + 3*t^6.22 + t^6.33 + t^6.61 + 4*t^6.72 + 7*t^6.83 + 7*t^6.94 + 5*t^7.05 + t^7.11 + 2*t^7.16 + 2*t^7.22 + 4*t^7.33 + 5*t^7.44 + 6*t^7.56 + 7*t^7.67 + t^7.73 + 4*t^7.78 + 2*t^7.84 + 2*t^7.89 + 3*t^7.95 + 3*t^8.06 - t^8.17 - 4*t^8.28 + t^8.34 + t^8.45 + 4*t^8.5 + 2*t^8.56 + 4*t^8.61 + 2*t^8.67 + 2*t^8.72 - 2*t^8.78 - t^8.89 - t^4.44/y - t^6.61/y - t^6.72/y - t^7.22/y + (2*t^7.44)/y + (2*t^7.56)/y + (3*t^7.67)/y + t^7.95/y + (3*t^8.06)/y + (5*t^8.17)/y + (5*t^8.28)/y + (3*t^8.39)/y + t^8.5/y + t^8.67/y + t^8.89/y - t^4.44*y - t^6.61*y - t^6.72*y - t^7.22*y + 2*t^7.44*y + 2*t^7.56*y + 3*t^7.67*y + t^7.95*y + 3*t^8.06*y + 5*t^8.17*y + 5*t^8.28*y + 3*t^8.39*y + t^8.5*y + t^8.67*y + t^8.89*y | t^2.17/g1^3 + 2*g1*t^2.28 + g1^5*t^2.39 + t^2.78/g1^8 + t^2.89/g1^4 + t^3. + g1^4*t^3.11 + g1^3*t^3.83 + g1^7*t^3.94 + t^4.33/g1^6 + (2*t^4.44)/g1^2 + 5*g1^2*t^4.56 + 3*g1^6*t^4.67 + 2*g1^10*t^4.78 + t^4.95/g1^11 + (2*t^5.06)/g1^7 + (3*t^5.17)/g1^3 + 4*g1*t^5.28 + 3*g1^5*t^5.39 + g1^9*t^5.5 + t^5.56/g1^16 + t^5.67/g1^12 + (2*t^5.78)/g1^8 - t^6. + 2*g1^4*t^6.11 + 3*g1^8*t^6.22 + g1^12*t^6.33 + t^6.61/g1^5 + (4*t^6.72)/g1 + 7*g1^3*t^6.83 + 7*g1^7*t^6.94 + 5*g1^11*t^7.05 + t^7.11/g1^14 + 2*g1^15*t^7.16 + (2*t^7.22)/g1^10 + (4*t^7.33)/g1^6 + (5*t^7.44)/g1^2 + 6*g1^2*t^7.56 + 7*g1^6*t^7.67 + t^7.73/g1^19 + 4*g1^10*t^7.78 + (2*t^7.84)/g1^15 + 2*g1^14*t^7.89 + (3*t^7.95)/g1^11 + (3*t^8.06)/g1^7 - t^8.17/g1^3 - 4*g1*t^8.28 + t^8.34/g1^24 + t^8.45/g1^20 + 4*g1^9*t^8.5 + (2*t^8.56)/g1^16 + 4*g1^13*t^8.61 + (2*t^8.67)/g1^12 + 2*g1^17*t^8.72 - (2*t^8.78)/g1^8 - t^8.89/g1^4 - t^4.44/(g1^2*y) - t^6.61/(g1^5*y) - t^6.72/(g1*y) - t^7.22/(g1^10*y) + (2*t^7.44)/(g1^2*y) + (2*g1^2*t^7.56)/y + (3*g1^6*t^7.67)/y + t^7.95/(g1^11*y) + (3*t^8.06)/(g1^7*y) + (5*t^8.17)/(g1^3*y) + (5*g1*t^8.28)/y + (3*g1^5*t^8.39)/y + (g1^9*t^8.5)/y + t^8.67/(g1^12*y) + t^8.89/(g1^4*y) - (t^4.44*y)/g1^2 - (t^6.61*y)/g1^5 - (t^6.72*y)/g1 - (t^7.22*y)/g1^10 + (2*t^7.44*y)/g1^2 + 2*g1^2*t^7.56*y + 3*g1^6*t^7.67*y + (t^7.95*y)/g1^11 + (3*t^8.06*y)/g1^7 + (5*t^8.17*y)/g1^3 + 5*g1*t^8.28*y + 3*g1^5*t^8.39*y + g1^9*t^8.5*y + (t^8.67*y)/g1^12 + (t^8.89*y)/g1^4 |
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 |
|---|---|---|---|---|---|---|---|---|
| 3295 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_3M_6$ | 0.624 | 0.8112 | 0.7692 | [X:[], M:[1.0, 1.0017, 0.9967, 0.7504, 0.7488, 1.0033], q:[0.7504, 0.2496], qb:[0.5008, 0.5025], phi:[0.4992]] | 3*t^2.25 + t^2.26 + 3*t^3. + t^3.01 + t^3.75 + t^3.76 + t^4.49 + 7*t^4.5 + 5*t^4.51 + 6*t^5.25 + 7*t^5.26 + t^5.27 + t^5.99 + t^6. - t^4.5/y - t^4.5*y | detail | |
| 3294 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_5M_6$ | 0.6077 | 0.776 | 0.7831 | [X:[], M:[1.0, 1.0325, 0.9351, 0.7581, 0.7257, 1.2743], q:[0.7581, 0.2419], qb:[0.5162, 0.5487], phi:[0.4838]] | 2*t^2.27 + t^2.37 + t^2.81 + t^2.9 + t^3. + t^3.1 + 2*t^3.82 + t^3.92 + 4*t^4.55 + 3*t^4.65 + 2*t^4.74 + t^5.08 + 2*t^5.18 + 3*t^5.27 + 3*t^5.37 + t^5.47 + t^5.61 + t^5.71 + 2*t^5.81 - 2*t^6. - t^4.45/y - t^4.45*y | detail | |
| 3296 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_1$ + $ M_5\phi_1q_2\tilde{q}_2$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6477 | 0.8502 | 0.7618 | [X:[], M:[1.0, 1.0405, 0.919, 0.7601, 0.7196, 0.7196], q:[0.7601, 0.2399], qb:[0.5203, 0.5608], phi:[0.4797]] | 2*t^2.16 + 2*t^2.28 + t^2.4 + t^2.76 + t^2.88 + t^3. + t^3.12 + t^3.96 + 3*t^4.32 + 4*t^4.44 + 6*t^4.56 + 3*t^4.68 + 2*t^4.8 + 2*t^4.92 + 3*t^5.04 + 4*t^5.16 + 5*t^5.28 + 3*t^5.4 + t^5.51 + t^5.52 + t^5.64 + 2*t^5.76 - 2*t^6. - t^4.44/y - t^4.44*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1777 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ + $ M_4\phi_1q_2\tilde{q}_1$ + $ M_5q_1\tilde{q}_1$ | 0.6299 | 0.819 | 0.7691 | [X:[], M:[1.0, 1.0447, 0.9106, 0.7262, 0.6816], q:[0.7612, 0.2388], qb:[0.5573, 0.5321], phi:[0.4777]] | t^2.04 + t^2.18 + t^2.31 + t^2.39 + t^2.73 + t^2.87 + t^3. + t^3.13 + t^3.75 + t^3.88 + t^4.09 + t^4.22 + 2*t^4.36 + t^4.43 + t^4.49 + t^4.57 + 2*t^4.63 + 2*t^4.7 + 3*t^4.78 + 2*t^4.91 + 2*t^5.04 + 3*t^5.18 + t^5.25 + 2*t^5.31 + t^5.39 + t^5.45 + t^5.46 + t^5.52 + t^5.6 + 2*t^5.73 + t^5.79 + t^5.87 + t^5.92 - 2*t^6. - t^4.43/y - t^4.43*y | detail |