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 |
|---|---|---|---|---|---|---|---|---|---|
| 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]] | [M:[[-6], [2], [6], [-10], [0], [-4]], q:[[0], [6]], qb:[[-6], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{6}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -1 | 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^6.064 - t^6.193 + t^6.258 - t^6.322 + t^6.76 + t^6.888 + 2*t^6.953 + t^7.017 + 2*t^7.082 + 2*t^7.146 + t^7.21 + 3*t^7.275 + 3*t^7.339 + 2*t^7.403 + 2*t^7.468 + 2*t^7.532 + t^7.597 + 3*t^7.661 + 2*t^7.725 + t^7.854 + t^8.034 + t^8.047 + 2*t^8.163 + t^8.227 + t^8.292 + 2*t^8.356 + 3*t^8.421 + 5*t^8.549 + t^8.614 + 4*t^8.742 - 2*t^8.871 + 2*t^8.936 - t^4.468/y - t^7.146/y - t^7.339/y + t^7.597/y + t^7.79/y + t^8.485/y + t^8.549/y + t^8.614/y + (2*t^8.678)/y + (2*t^8.742)/y + (2*t^8.807)/y + (3*t^8.871)/y + (2*t^8.936)/y - t^4.468*y - t^7.146*y - t^7.339*y + t^7.597*y + t^7.79*y + t^8.485*y + t^8.549*y + t^8.614*y + 2*t^8.678*y + 2*t^8.742*y + 2*t^8.807*y + 3*t^8.871*y + 2*t^8.936*y | t^2.678/g1^10 + t^2.807/g1^6 + t^2.871/g1^4 + t^2.936/g1^2 + t^3. + g1^2*t^3.064 + g1^6*t^3.193 + t^4.082/g1^13 + t^4.275/g1^7 + t^4.403/g1^3 + (2*t^4.468)/g1 + g1^3*t^4.597 + g1^5*t^4.661 + g1^7*t^4.725 + g1^9*t^4.79 + g1^11*t^4.854 + t^5.356/g1^20 + t^5.485/g1^16 + t^5.549/g1^14 + t^5.614/g1^12 + t^5.678/g1^10 + (3*t^5.742)/g1^8 + (3*t^5.871)/g1^4 + t^5.936/g1^2 - t^6. + g1^2*t^6.064 - g1^6*t^6.193 + g1^8*t^6.258 - g1^10*t^6.322 + t^6.76/g1^23 + t^6.888/g1^19 + (2*t^6.953)/g1^17 + t^7.017/g1^15 + (2*t^7.082)/g1^13 + (2*t^7.146)/g1^11 + t^7.21/g1^9 + (3*t^7.275)/g1^7 + (3*t^7.339)/g1^5 + (2*t^7.403)/g1^3 + (2*t^7.468)/g1 + 2*g1*t^7.532 + g1^3*t^7.597 + 3*g1^5*t^7.661 + 2*g1^7*t^7.725 + g1^11*t^7.854 + t^8.034/g1^30 + g1^17*t^8.047 + (2*t^8.163)/g1^26 + t^8.227/g1^24 + t^8.292/g1^22 + (2*t^8.356)/g1^20 + (3*t^8.421)/g1^18 + (5*t^8.549)/g1^14 + t^8.614/g1^12 + (4*t^8.742)/g1^8 - (2*t^8.871)/g1^4 + (2*t^8.936)/g1^2 - t^4.468/(g1*y) - t^7.146/(g1^11*y) - t^7.339/(g1^5*y) + (g1^3*t^7.597)/y + (g1^9*t^7.79)/y + t^8.485/(g1^16*y) + t^8.549/(g1^14*y) + t^8.614/(g1^12*y) + (2*t^8.678)/(g1^10*y) + (2*t^8.742)/(g1^8*y) + (2*t^8.807)/(g1^6*y) + (3*t^8.871)/(g1^4*y) + (2*t^8.936)/(g1^2*y) - (t^4.468*y)/g1 - (t^7.146*y)/g1^11 - (t^7.339*y)/g1^5 + g1^3*t^7.597*y + g1^9*t^7.79*y + (t^8.485*y)/g1^16 + (t^8.549*y)/g1^14 + (t^8.614*y)/g1^12 + (2*t^8.678*y)/g1^10 + (2*t^8.742*y)/g1^8 + (2*t^8.807*y)/g1^6 + (3*t^8.871*y)/g1^4 + (2*t^8.936*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 |
|---|---|---|---|---|---|---|---|---|
| 2481 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ | 0.7029 | 0.8658 | 0.8118 | [M:[0.929, 1.0237, 1.071, 0.8816, 1.0, 0.9527, 0.9763], q:[0.5, 0.571], qb:[0.429, 0.5473], phi:[0.4882]] | t^2.645 + t^2.787 + t^2.858 + 2*t^2.929 + t^3. + t^3.213 + t^4.038 + t^4.251 + t^4.393 + 2*t^4.464 + t^4.607 + t^4.678 + t^4.749 + t^4.82 + t^4.891 + t^5.29 + t^5.432 + t^5.503 + 2*t^5.574 + t^5.645 + 3*t^5.716 + t^5.787 + 4*t^5.858 + t^5.929 - 2*t^6. - t^4.464/y - t^4.464*y | detail | |
| 2479 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ | 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]] | 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^4.459/y - t^4.459*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 |
|---|---|---|---|---|---|---|---|---|---|
| 930 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.6972 | 0.855 | 0.8154 | [M:[0.949, 1.017, 1.051, 0.915, 1.0], q:[0.5, 0.551], qb:[0.449, 0.534], phi:[0.4915]] | t^2.745 + t^2.847 + t^2.949 + t^3. + t^3.051 + t^3.102 + t^3.153 + t^4.169 + t^4.322 + t^4.424 + 2*t^4.475 + t^4.576 + t^4.627 + t^4.678 + t^4.729 + t^4.78 + t^5.49 + t^5.592 + t^5.694 + 2*t^5.796 + 2*t^5.898 + t^5.949 - t^6. - t^4.475/y - t^4.475*y | detail |