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 |
---|---|---|---|---|---|---|---|---|---|
234 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}^{2}$ | 0.581 | 0.711 | 0.8172 | [M:[1.2101, 0.6849, 1.0], q:[0.8025, 0.8025], qb:[0.5126, 0.3025], phi:[0.395]] | [M:[[4], [-6], [0]], q:[[1], [1]], qb:[[5], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}M_{2}q_{2}\tilde{q}_{1}$ | -1 | t^2.055 + t^2.445 + t^3. + 2*t^3.315 + 2*t^3.63 + t^3.945 + t^4.109 + t^4.26 + t^4.5 + t^4.815 + t^4.891 + t^5.055 + t^5.37 + t^5.445 + 2*t^5.76 - t^6. + 2*t^6.076 + t^6.164 + t^6.315 + t^6.391 + 3*t^6.63 + t^6.706 - t^6.87 + 4*t^6.945 + t^7.109 - 2*t^7.185 + 4*t^7.26 + t^7.336 + t^7.424 - t^7.5 + 2*t^7.576 + 3*t^7.891 - t^8.055 + 3*t^8.206 + t^8.219 + t^8.37 - t^8.445 + 3*t^8.521 - t^8.685 + t^8.836 - t^4.185/y - t^6.24/y + t^7.5/y + t^8.055/y + t^8.13/y - t^8.294/y + (2*t^8.37)/y + t^8.445/y + (2*t^8.685)/y + (2*t^8.76)/y - t^4.185*y - t^6.24*y + t^7.5*y + t^8.055*y + t^8.13*y - t^8.294*y + 2*t^8.37*y + t^8.445*y + 2*t^8.685*y + 2*t^8.76*y | t^2.055/g1^6 + g1^6*t^2.445 + t^3. + 2*g1^2*t^3.315 + 2*g1^4*t^3.63 + g1^6*t^3.945 + t^4.109/g1^12 + g1^8*t^4.26 + t^4.5 + g1^2*t^4.815 + g1^12*t^4.891 + t^5.055/g1^6 + t^5.37/g1^4 + g1^6*t^5.445 + 2*g1^8*t^5.76 - t^6. + 2*g1^10*t^6.076 + t^6.164/g1^18 + g1^2*t^6.315 + g1^12*t^6.391 + 3*g1^4*t^6.63 + g1^14*t^6.706 - t^6.87/g1^4 + 4*g1^6*t^6.945 + t^7.109/g1^12 - (2*t^7.185)/g1^2 + 4*g1^8*t^7.26 + g1^18*t^7.336 + t^7.424/g1^10 - t^7.5 + 2*g1^10*t^7.576 + 3*g1^12*t^7.891 - t^8.055/g1^6 + 3*g1^14*t^8.206 + t^8.219/g1^24 + t^8.37/g1^4 - g1^6*t^8.445 + 3*g1^16*t^8.521 - t^8.685/g1^2 + g1^18*t^8.836 - t^4.185/(g1^2*y) - t^6.24/(g1^8*y) + t^7.5/y + t^8.055/(g1^6*y) + (g1^4*t^8.13)/y - t^8.294/(g1^14*y) + (2*t^8.37)/(g1^4*y) + (g1^6*t^8.445)/y + (2*t^8.685)/(g1^2*y) + (2*g1^8*t^8.76)/y - (t^4.185*y)/g1^2 - (t^6.24*y)/g1^8 + t^7.5*y + (t^8.055*y)/g1^6 + g1^4*t^8.13*y - (t^8.294*y)/g1^14 + (2*t^8.37*y)/g1^4 + g1^6*t^8.445*y + (2*t^8.685*y)/g1^2 + 2*g1^8*t^8.76*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 |
---|---|---|---|---|---|---|---|---|
1752 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ | 0.6018 | 0.7514 | 0.8009 | [M:[1.2127, 0.6809, 1.0, 0.6809], q:[0.8032, 0.8032], qb:[0.5159, 0.3032], phi:[0.3936]] | 2*t^2.043 + t^2.457 + t^3. + 2*t^3.319 + 2*t^3.638 + 3*t^4.085 + t^4.276 + 2*t^4.5 + t^4.819 + t^4.915 + 2*t^5.043 + 3*t^5.362 + t^5.457 + 2*t^5.681 + 2*t^5.776 - 2*t^6. - t^4.181/y - t^4.181*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 |
---|---|---|---|---|---|---|---|---|---|
143 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ | 0.628 | 0.7571 | 0.8294 | [M:[1.2913, 0.7124, 0.7014], q:[0.8228, 0.8228], qb:[0.4648, 0.4721], phi:[0.3544]] | t^2.104 + t^2.137 + t^2.811 + t^3.852 + t^3.863 + 2*t^3.874 + 2*t^3.885 + t^4.208 + t^4.241 + t^4.274 + t^4.915 + t^4.937 + t^4.948 + t^5.622 + t^5.956 + t^5.967 + t^5.978 + t^5.989 - 2*t^6. - t^4.063/y - t^4.063*y | detail |