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 |
|---|---|---|---|---|---|---|---|---|---|
| 2479 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ | 0.7076 | 0.875 | 0.8086 | [M:[0.917, 1.0277, 1.083, 0.8617, 1.0, 0.9447, 0.917], q:[0.5, 0.583], qb:[0.417, 0.5553], phi:[0.4862]] | [M:[[-6], [2], [6], [-10], [0], [-4], [-6]], q:[[0], [6]], qb:[[-6], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{1}$, ${ }M_{7}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{7}$, ${ }M_{4}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{6}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -2 | t^2.585 + 2*t^2.751 + t^2.834 + t^2.917 + t^3. + t^3.083 + t^3.961 + t^4.21 + t^4.376 + 2*t^4.459 + t^4.624 + t^4.707 + t^4.79 + t^4.873 + t^4.956 + t^5.17 + 2*t^5.336 + t^5.419 + 3*t^5.502 + 2*t^5.585 + 4*t^5.668 + t^5.751 + 3*t^5.834 + t^5.917 - 2*t^6. - t^6.166 - 2*t^6.249 - t^6.415 - t^6.498 + t^6.546 + 2*t^6.712 + 2*t^6.795 + t^6.878 + 3*t^6.961 + 2*t^7.044 + 2*t^7.127 + 4*t^7.21 + 3*t^7.293 + 3*t^7.376 + 2*t^7.459 + 3*t^7.541 + t^7.624 + 2*t^7.707 + t^7.756 + 2*t^7.79 - t^7.873 + 3*t^7.921 + t^8.004 - t^8.039 + 3*t^8.087 - t^8.122 + 3*t^8.17 + 6*t^8.253 + 2*t^8.336 + 8*t^8.419 + 2*t^8.502 + 2*t^8.585 + 4*t^8.668 - 3*t^8.751 - 3*t^8.834 - 2*t^8.917 - t^4.459/y - t^7.044/y - t^7.21/y - t^7.293/y + t^7.624/y + t^7.707/y + t^7.873/y + (2*t^8.336)/y + t^8.419/y + (2*t^8.502)/y + (3*t^8.585)/y + (3*t^8.668)/y + (3*t^8.751)/y + (3*t^8.834)/y + (2*t^8.917)/y - t^4.459*y - t^7.044*y - t^7.21*y - t^7.293*y + t^7.624*y + t^7.707*y + t^7.873*y + 2*t^8.336*y + t^8.419*y + 2*t^8.502*y + 3*t^8.585*y + 3*t^8.668*y + 3*t^8.751*y + 3*t^8.834*y + 2*t^8.917*y | t^2.585/g1^10 + (2*t^2.751)/g1^6 + t^2.834/g1^4 + t^2.917/g1^2 + t^3. + g1^2*t^3.083 + t^3.961/g1^13 + t^4.21/g1^7 + t^4.376/g1^3 + (2*t^4.459)/g1 + g1^3*t^4.624 + g1^5*t^4.707 + g1^7*t^4.79 + g1^9*t^4.873 + g1^11*t^4.956 + t^5.17/g1^20 + (2*t^5.336)/g1^16 + t^5.419/g1^14 + (3*t^5.502)/g1^12 + (2*t^5.585)/g1^10 + (4*t^5.668)/g1^8 + t^5.751/g1^6 + (3*t^5.834)/g1^4 + t^5.917/g1^2 - 2*t^6. - g1^4*t^6.166 - 2*g1^6*t^6.249 - g1^10*t^6.415 - g1^12*t^6.498 + t^6.546/g1^23 + (2*t^6.712)/g1^19 + (2*t^6.795)/g1^17 + t^6.878/g1^15 + (3*t^6.961)/g1^13 + (2*t^7.044)/g1^11 + (2*t^7.127)/g1^9 + (4*t^7.21)/g1^7 + (3*t^7.293)/g1^5 + (3*t^7.376)/g1^3 + (2*t^7.459)/g1 + 3*g1*t^7.541 + g1^3*t^7.624 + 2*g1^5*t^7.707 + t^7.756/g1^30 + 2*g1^7*t^7.79 - g1^9*t^7.873 + (3*t^7.921)/g1^26 + t^8.004/g1^24 - g1^13*t^8.039 + (3*t^8.087)/g1^22 - g1^15*t^8.122 + (3*t^8.17)/g1^20 + (6*t^8.253)/g1^18 + (2*t^8.336)/g1^16 + (8*t^8.419)/g1^14 + (2*t^8.502)/g1^12 + (2*t^8.585)/g1^10 + (4*t^8.668)/g1^8 - (3*t^8.751)/g1^6 - (3*t^8.834)/g1^4 - (2*t^8.917)/g1^2 - t^4.459/(g1*y) - t^7.044/(g1^11*y) - t^7.21/(g1^7*y) - t^7.293/(g1^5*y) + (g1^3*t^7.624)/y + (g1^5*t^7.707)/y + (g1^9*t^7.873)/y + (2*t^8.336)/(g1^16*y) + t^8.419/(g1^14*y) + (2*t^8.502)/(g1^12*y) + (3*t^8.585)/(g1^10*y) + (3*t^8.668)/(g1^8*y) + (3*t^8.751)/(g1^6*y) + (3*t^8.834)/(g1^4*y) + (2*t^8.917)/(g1^2*y) - (t^4.459*y)/g1 - (t^7.044*y)/g1^11 - (t^7.21*y)/g1^7 - (t^7.293*y)/g1^5 + g1^3*t^7.624*y + g1^5*t^7.707*y + g1^9*t^7.873*y + (2*t^8.336*y)/g1^16 + (t^8.419*y)/g1^14 + (2*t^8.502*y)/g1^12 + (3*t^8.585*y)/g1^10 + (3*t^8.668*y)/g1^8 + (3*t^8.751*y)/g1^6 + (3*t^8.834*y)/g1^4 + (2*t^8.917*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 |
|---|---|---|---|---|---|---|---|---|
| 4532 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{2}M_{8}$ | 0.7102 | 0.8804 | 0.8067 | [M:[0.9108, 1.0297, 1.0892, 0.8513, 1.0, 0.9405, 0.9108, 0.9703], q:[0.5, 0.5892], qb:[0.4108, 0.5595], phi:[0.4851]] | t^2.554 + 2*t^2.732 + t^2.822 + 2*t^2.911 + t^3. + t^3.92 + t^4.188 + t^4.366 + 2*t^4.455 + t^4.634 + t^4.723 + t^4.812 + t^4.901 + t^4.991 + t^5.108 + 2*t^5.286 + t^5.376 + 4*t^5.465 + 2*t^5.554 + 5*t^5.643 + 2*t^5.732 + 3*t^5.822 + t^5.911 - 3*t^6. - t^4.455/y - t^4.455*y | detail | |
| 4534 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7284 | 0.9159 | 0.7953 | [M:[0.9191, 1.027, 1.0809, 0.8652, 1.0, 0.9461, 0.9191, 0.6752], q:[0.5, 0.5809], qb:[0.4191, 0.5539], phi:[0.4865]] | t^2.026 + t^2.596 + 2*t^2.757 + t^2.838 + t^2.919 + t^3. + t^3.081 + t^4.051 + t^4.217 + t^4.379 + 2*t^4.46 + 2*t^4.621 + t^4.702 + 3*t^4.783 + 2*t^4.864 + 2*t^4.945 + t^5.026 + t^5.107 + t^5.191 + 2*t^5.353 + t^5.434 + 3*t^5.515 + 2*t^5.596 + 4*t^5.676 + t^5.757 + 3*t^5.838 + t^5.919 - 2*t^6. - t^4.46/y - t^4.46*y | detail | |
| 4531 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.7051 | 0.8701 | 0.8103 | [M:[0.9234, 1.0255, 1.0766, 0.8723, 1.0, 0.9489, 0.9234, 1.0255], q:[0.5, 0.5766], qb:[0.4234, 0.5511], phi:[0.4872]] | t^2.617 + 2*t^2.77 + t^2.847 + t^3. + 2*t^3.077 + t^4.002 + t^4.232 + t^4.385 + 2*t^4.462 + t^4.615 + t^4.692 + t^4.768 + t^4.845 + t^4.922 + t^5.234 + 2*t^5.387 + t^5.464 + 2*t^5.54 + 2*t^5.617 + 3*t^5.693 + 4*t^5.847 + t^5.923 - 3*t^6. - t^4.462/y - t^4.462*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1425 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.7007 | 0.8617 | 0.8132 | [M:[0.9356, 1.0215, 1.0644, 0.8927, 1.0, 0.9571], q:[0.5, 0.5644], qb:[0.4356, 0.5429], phi:[0.4893]] | t^2.678 + t^2.807 + t^2.871 + t^2.936 + t^3. + t^3.064 + t^3.193 + t^4.082 + t^4.275 + t^4.403 + 2*t^4.468 + t^4.597 + t^4.661 + t^4.725 + t^4.79 + t^4.854 + t^5.356 + t^5.485 + t^5.549 + t^5.614 + t^5.678 + 3*t^5.742 + 3*t^5.871 + t^5.936 - t^6. - t^4.468/y - t^4.468*y | detail |