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 |
|---|---|---|---|---|---|---|---|---|---|
| 2481 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ | 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]] | [M:[[-6], [2], [6], [-10], [0], [-4], [-2]], q:[[0], [6]], qb:[[-6], [4]], phi:[[-1]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{5}M_{7}$, ${ }M_{5}\phi_{1}^{2}$ | ${}$ | -2 | 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^6.213 - t^6.355 + t^6.683 + t^6.825 + 2*t^6.896 + 2*t^6.967 + 2*t^7.038 + t^7.109 + 2*t^7.18 + 3*t^7.251 + 3*t^7.322 + 4*t^7.393 + t^7.464 + t^7.536 + 2*t^7.607 + 3*t^7.678 + 2*t^7.749 + t^7.935 - t^7.962 + 2*t^8.077 + t^8.104 + t^8.148 + 2*t^8.219 + 2*t^8.29 + 3*t^8.361 + t^8.432 + 6*t^8.503 + t^8.574 + 2*t^8.645 + 4*t^8.716 + t^8.787 - t^8.858 - 3*t^8.929 - t^4.464/y - t^7.109/y - t^7.322/y - t^7.393/y + t^7.536/y + t^7.607/y + t^7.82/y + t^8.432/y + t^8.503/y + (2*t^8.574)/y + (2*t^8.645)/y + (2*t^8.716)/y + (3*t^8.787)/y + (3*t^8.858)/y + (2*t^8.929)/y - t^4.464*y - t^7.109*y - t^7.322*y - t^7.393*y + t^7.536*y + t^7.607*y + t^7.82*y + t^8.432*y + t^8.503*y + 2*t^8.574*y + 2*t^8.645*y + 2*t^8.716*y + 3*t^8.787*y + 3*t^8.858*y + 2*t^8.929*y | t^2.645/g1^10 + t^2.787/g1^6 + t^2.858/g1^4 + (2*t^2.929)/g1^2 + t^3. + g1^6*t^3.213 + t^4.038/g1^13 + t^4.251/g1^7 + t^4.393/g1^3 + (2*t^4.464)/g1 + g1^3*t^4.607 + g1^5*t^4.678 + g1^7*t^4.749 + g1^9*t^4.82 + g1^11*t^4.891 + t^5.29/g1^20 + t^5.432/g1^16 + t^5.503/g1^14 + (2*t^5.574)/g1^12 + t^5.645/g1^10 + (3*t^5.716)/g1^8 + t^5.787/g1^6 + (4*t^5.858)/g1^4 + t^5.929/g1^2 - 2*t^6. - g1^6*t^6.213 - g1^10*t^6.355 + t^6.683/g1^23 + t^6.825/g1^19 + (2*t^6.896)/g1^17 + (2*t^6.967)/g1^15 + (2*t^7.038)/g1^13 + t^7.109/g1^11 + (2*t^7.18)/g1^9 + (3*t^7.251)/g1^7 + (3*t^7.322)/g1^5 + (4*t^7.393)/g1^3 + t^7.464/g1 + g1*t^7.536 + 2*g1^3*t^7.607 + 3*g1^5*t^7.678 + 2*g1^7*t^7.749 + t^7.935/g1^30 - g1^13*t^7.962 + (2*t^8.077)/g1^26 + g1^17*t^8.104 + t^8.148/g1^24 + (2*t^8.219)/g1^22 + (2*t^8.29)/g1^20 + (3*t^8.361)/g1^18 + t^8.432/g1^16 + (6*t^8.503)/g1^14 + t^8.574/g1^12 + (2*t^8.645)/g1^10 + (4*t^8.716)/g1^8 + t^8.787/g1^6 - t^8.858/g1^4 - (3*t^8.929)/g1^2 - t^4.464/(g1*y) - t^7.109/(g1^11*y) - t^7.322/(g1^5*y) - t^7.393/(g1^3*y) + (g1*t^7.536)/y + (g1^3*t^7.607)/y + (g1^9*t^7.82)/y + t^8.432/(g1^16*y) + t^8.503/(g1^14*y) + (2*t^8.574)/(g1^12*y) + (2*t^8.645)/(g1^10*y) + (2*t^8.716)/(g1^8*y) + (3*t^8.787)/(g1^6*y) + (3*t^8.858)/(g1^4*y) + (2*t^8.929)/(g1^2*y) - (t^4.464*y)/g1 - (t^7.109*y)/g1^11 - (t^7.322*y)/g1^5 - (t^7.393*y)/g1^3 + g1*t^7.536*y + g1^3*t^7.607*y + g1^9*t^7.82*y + (t^8.432*y)/g1^16 + (t^8.503*y)/g1^14 + (2*t^8.574*y)/g1^12 + (2*t^8.645*y)/g1^10 + (2*t^8.716*y)/g1^8 + (3*t^8.787*y)/g1^6 + (3*t^8.858*y)/g1^4 + (2*t^8.929*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 |
|---|---|---|---|---|---|---|---|---|
| 4533 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{1}M_{8}$ | 0.6972 | 0.855 | 0.8154 | [M:[0.9487, 1.0171, 1.0513, 0.9145, 1.0, 0.9658, 0.9829, 1.0513], q:[0.5, 0.5513], qb:[0.4487, 0.5342], phi:[0.4914]] | t^2.743 + t^2.897 + 2*t^2.949 + t^3. + 2*t^3.154 + t^4.167 + t^4.32 + t^4.423 + 2*t^4.474 + t^4.577 + t^4.628 + t^4.68 + t^4.731 + t^4.782 + t^5.487 + t^5.641 + t^5.692 + t^5.795 + 5*t^5.897 + t^5.949 - 3*t^6. - t^4.474/y - t^4.474*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 |