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 |
|---|---|---|---|---|---|---|---|---|---|
| 55197 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{6}$ | 0.6708 | 0.8396 | 0.799 | [M:[0.944, 1.1552, 1.0891, 0.8448, 0.6997, 0.8448], q:[0.495, 0.5611], qb:[0.3499, 0.7723], phi:[0.4555]] | [M:[[-10], [-8], [4], [8], [-6], [8]], q:[[11], [-1]], qb:[[-3], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.099 + 2*t^2.534 + t^2.733 + t^2.832 + t^3.267 + t^3.366 + t^3.802 + t^4. + t^4.099 + t^4.198 + t^4.336 + t^4.534 + 2*t^4.634 + t^4.733 + t^4.832 + t^4.931 + 3*t^5.069 + 2*t^5.267 + 2*t^5.366 + 2*t^5.466 + t^5.664 + t^5.802 + 3*t^5.901 - 2*t^6. + 2*t^6.099 + t^6.198 + t^6.297 + 2*t^6.336 + 2*t^6.534 + 2*t^6.634 + t^6.733 + 2*t^6.832 + 2*t^6.871 + t^6.931 + t^7.03 + 3*t^7.069 + 3*t^7.168 + t^7.267 + 2*t^7.366 + 3*t^7.466 + 2*t^7.565 + 5*t^7.603 + t^7.763 + 2*t^7.802 + 2*t^7.901 + 3*t^8. - 2*t^8.099 + t^8.138 + 4*t^8.198 + t^8.297 + 2*t^8.336 + t^8.397 + 4*t^8.435 + t^8.496 - 4*t^8.534 + 2*t^8.634 + t^8.672 + 4*t^8.871 + t^8.931 - t^4.366/y - t^6.466/y - t^6.901/y - t^7.198/y + t^7.534/y + (2*t^7.634)/y + (2*t^7.832)/y + t^7.931/y + t^8.069/y + (3*t^8.267)/y + (3*t^8.366)/y + t^8.466/y + (2*t^8.802)/y + (3*t^8.901)/y - t^4.366*y - t^6.466*y - t^6.901*y - t^7.198*y + t^7.534*y + 2*t^7.634*y + 2*t^7.832*y + t^7.931*y + t^8.069*y + 3*t^8.267*y + 3*t^8.366*y + t^8.466*y + 2*t^8.802*y + 3*t^8.901*y | t^2.099/g1^6 + 2*g1^8*t^2.534 + t^2.733/g1^4 + t^2.832/g1^10 + g1^4*t^3.267 + t^3.366/g1^2 + g1^12*t^3.802 + t^4. + t^4.099/g1^6 + t^4.198/g1^12 + g1^20*t^4.336 + g1^8*t^4.534 + 2*g1^2*t^4.634 + t^4.733/g1^4 + t^4.832/g1^10 + t^4.931/g1^16 + 3*g1^16*t^5.069 + 2*g1^4*t^5.267 + (2*t^5.366)/g1^2 + (2*t^5.466)/g1^8 + t^5.664/g1^20 + g1^12*t^5.802 + 3*g1^6*t^5.901 - 2*t^6. + (2*t^6.099)/g1^6 + t^6.198/g1^12 + t^6.297/g1^18 + 2*g1^20*t^6.336 + 2*g1^8*t^6.534 + 2*g1^2*t^6.634 + t^6.733/g1^4 + (2*t^6.832)/g1^10 + 2*g1^28*t^6.871 + t^6.931/g1^16 + t^7.03/g1^22 + 3*g1^16*t^7.069 + 3*g1^10*t^7.168 + g1^4*t^7.267 + (2*t^7.366)/g1^2 + (3*t^7.466)/g1^8 + (2*t^7.565)/g1^14 + 5*g1^24*t^7.603 + t^7.763/g1^26 + 2*g1^12*t^7.802 + 2*g1^6*t^7.901 + 3*t^8. - (2*t^8.099)/g1^6 + g1^32*t^8.138 + (4*t^8.198)/g1^12 + t^8.297/g1^18 + 2*g1^20*t^8.336 + t^8.397/g1^24 + 4*g1^14*t^8.435 + t^8.496/g1^30 - 4*g1^8*t^8.534 + 2*g1^2*t^8.634 + g1^40*t^8.672 + 4*g1^28*t^8.871 + t^8.931/g1^16 - t^4.366/(g1^2*y) - t^6.466/(g1^8*y) - (g1^6*t^6.901)/y - t^7.198/(g1^12*y) + (g1^8*t^7.534)/y + (2*g1^2*t^7.634)/y + (2*t^7.832)/(g1^10*y) + t^7.931/(g1^16*y) + (g1^16*t^8.069)/y + (3*g1^4*t^8.267)/y + (3*t^8.366)/(g1^2*y) + t^8.466/(g1^8*y) + (2*g1^12*t^8.802)/y + (3*g1^6*t^8.901)/y - (t^4.366*y)/g1^2 - (t^6.466*y)/g1^8 - g1^6*t^6.901*y - (t^7.198*y)/g1^12 + g1^8*t^7.534*y + 2*g1^2*t^7.634*y + (2*t^7.832*y)/g1^10 + (t^7.931*y)/g1^16 + g1^16*t^8.069*y + 3*g1^4*t^8.267*y + (3*t^8.366*y)/g1^2 + (t^8.466*y)/g1^8 + 2*g1^12*t^8.802*y + 3*g1^6*t^8.901*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 |
|---|---|---|---|---|---|---|---|---|
| 56863 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ | 0.6908 | 0.8766 | 0.788 | [M:[0.9324, 1.1459, 1.0937, 0.8541, 0.6928, 0.8541, 0.7188], q:[0.5077, 0.5599], qb:[0.3464, 0.7734], phi:[0.4531]] | t^2.078 + t^2.157 + 2*t^2.562 + t^2.719 + t^2.797 + t^3.281 + t^3.359 + t^4. + t^4.078 + t^4.157 + t^4.235 + t^4.313 + t^4.406 + t^4.562 + 2*t^4.641 + 3*t^4.719 + t^4.797 + 2*t^4.875 + t^4.954 + 3*t^5.125 + 2*t^5.281 + 2*t^5.359 + 3*t^5.438 + t^5.516 + t^5.594 + t^5.843 + 2*t^5.922 - 2*t^6. - t^4.359/y - t^4.359*y | detail | |
| 56862 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6818 | 0.8585 | 0.7942 | [M:[0.9497, 1.1598, 1.0868, 0.8402, 0.7032, 0.8402, 0.8767], q:[0.4886, 0.5616], qb:[0.3516, 0.7717], phi:[0.4566]] | t^2.109 + 2*t^2.521 + t^2.63 + t^2.74 + t^2.849 + t^3.26 + t^3.781 + t^4. + t^4.109 + t^4.219 + t^4.302 + t^4.521 + 2*t^4.63 + 2*t^4.74 + t^4.849 + t^4.959 + 3*t^5.041 + 2*t^5.151 + 3*t^5.26 + 3*t^5.37 + 2*t^5.479 + t^5.698 + t^5.781 + 2*t^5.891 - 2*t^6. - t^4.37/y - t^4.37*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 |
|---|---|---|---|---|---|---|---|---|---|
| 46933 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.658 | 0.8173 | 0.8051 | [M:[0.9215, 1.1372, 1.098, 0.8628, 0.6863], q:[0.5196, 0.5588], qb:[0.3431, 0.7745], phi:[0.451]] | t^2.059 + t^2.588 + t^2.706 + t^2.765 + t^3.294 + t^3.353 + t^3.412 + t^3.882 + t^4. + t^4.059 + t^4.118 + t^4.471 + t^4.588 + t^4.647 + t^4.706 + t^4.765 + t^4.823 + t^5.177 + t^5.294 + t^5.353 + 2*t^5.412 + t^5.47 + t^5.529 + 2*t^5.941 - t^6. - t^4.353/y - t^4.353*y | detail |