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 |
---|---|---|---|---|---|---|---|---|---|
1162 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6708 | 0.8396 | 0.799 | [M:[1.1552, 1.0891, 0.944, 0.8448, 0.8448, 0.6997], q:[0.7723, 0.3499], qb:[0.495, 0.5611], phi:[0.4555]] | [M:[[8], [-4], [10], [-8], [-8], [6]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{6}q_{1}q_{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}q_{1}q_{2}$, ${ }M_{5}q_{1}q_{2}$, ${ }M_{6}q_{1}\tilde{q}_{1}$ | ${}$ | -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 | g1^6*t^2.099 + (2*t^2.534)/g1^8 + g1^4*t^2.733 + g1^10*t^2.832 + t^3.267/g1^4 + g1^2*t^3.366 + t^3.802/g1^12 + t^4. + g1^6*t^4.099 + g1^12*t^4.198 + t^4.336/g1^20 + t^4.534/g1^8 + (2*t^4.634)/g1^2 + g1^4*t^4.733 + g1^10*t^4.832 + g1^16*t^4.931 + (3*t^5.069)/g1^16 + (2*t^5.267)/g1^4 + 2*g1^2*t^5.366 + 2*g1^8*t^5.466 + g1^20*t^5.664 + t^5.802/g1^12 + (3*t^5.901)/g1^6 - 2*t^6. + 2*g1^6*t^6.099 + g1^12*t^6.198 + g1^18*t^6.297 + (2*t^6.336)/g1^20 + (2*t^6.534)/g1^8 + (2*t^6.634)/g1^2 + g1^4*t^6.733 + 2*g1^10*t^6.832 + (2*t^6.871)/g1^28 + g1^16*t^6.931 + g1^22*t^7.03 + (3*t^7.069)/g1^16 + (3*t^7.168)/g1^10 + t^7.267/g1^4 + 2*g1^2*t^7.366 + 3*g1^8*t^7.466 + 2*g1^14*t^7.565 + (5*t^7.603)/g1^24 + g1^26*t^7.763 + (2*t^7.802)/g1^12 + (2*t^7.901)/g1^6 + 3*t^8. - 2*g1^6*t^8.099 + t^8.138/g1^32 + 4*g1^12*t^8.198 + g1^18*t^8.297 + (2*t^8.336)/g1^20 + g1^24*t^8.397 + (4*t^8.435)/g1^14 + g1^30*t^8.496 - (4*t^8.534)/g1^8 + (2*t^8.634)/g1^2 + t^8.672/g1^40 + (4*t^8.871)/g1^28 + g1^16*t^8.931 - (g1^2*t^4.366)/y - (g1^8*t^6.466)/y - t^6.901/(g1^6*y) - (g1^12*t^7.198)/y + t^7.534/(g1^8*y) + (2*t^7.634)/(g1^2*y) + (2*g1^10*t^7.832)/y + (g1^16*t^7.931)/y + t^8.069/(g1^16*y) + (3*t^8.267)/(g1^4*y) + (3*g1^2*t^8.366)/y + (g1^8*t^8.466)/y + (2*t^8.802)/(g1^12*y) + (3*t^8.901)/(g1^6*y) - g1^2*t^4.366*y - g1^8*t^6.466*y - (t^6.901*y)/g1^6 - g1^12*t^7.198*y + (t^7.534*y)/g1^8 + (2*t^7.634*y)/g1^2 + 2*g1^10*t^7.832*y + g1^16*t^7.931*y + (t^8.069*y)/g1^16 + (3*t^8.267*y)/g1^4 + 3*g1^2*t^8.366*y + g1^8*t^8.466*y + (2*t^8.802*y)/g1^12 + (3*t^8.901*y)/g1^6 |
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 |
---|---|---|---|---|---|---|---|---|
2184 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ | 0.6908 | 0.8766 | 0.788 | [M:[1.1459, 1.0937, 0.9324, 0.8541, 0.8541, 0.6928, 0.7188], q:[0.7734, 0.3464], qb:[0.5077, 0.5599], 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 |
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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
711 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{1}M_{5}$ | 0.6503 | 0.8006 | 0.8123 | [M:[1.1584, 1.0875, 0.948, 0.8416, 0.8416], q:[0.7719, 0.3511], qb:[0.4905, 0.5615], phi:[0.4563]] | 2*t^2.525 + t^2.738 + t^2.844 + t^3.262 + t^3.369 + t^3.787 + t^3.894 + t^4. + t^4.106 + t^4.312 + t^4.525 + t^4.738 + 3*t^5.05 + 2*t^5.262 + t^5.369 + t^5.475 + t^5.688 + t^5.787 + 2*t^5.894 - 2*t^6. - t^4.369/y - t^4.369*y | detail |