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 |
---|---|---|---|---|---|---|---|---|---|
2316 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{7}$ | 0.7299 | 0.9081 | 0.8038 | [M:[0.922, 1.078, 0.7659, 1.0, 0.922, 0.8439, 0.922], q:[0.5, 0.578], qb:[0.422, 0.6561], phi:[0.461]] | [M:[[-2], [2], [-6], [0], [-2], [-4], [-2]], q:[[0], [2]], qb:[[-2], [4]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{4}\phi_{1}^{2}$ | ${}$ | -3 | t^2.298 + t^2.532 + 4*t^2.766 + t^3. + t^3.915 + t^4.149 + 2*t^4.383 + t^4.595 + 2*t^4.617 + t^4.83 + 2*t^4.851 + 5*t^5.064 + t^5.085 + 4*t^5.298 + t^5.319 + 9*t^5.532 + t^5.766 - 3*t^6. + t^6.213 - 3*t^6.234 + 2*t^6.447 - 3*t^6.468 + 6*t^6.681 - t^6.702 + t^6.893 + 7*t^6.915 + t^7.127 + 8*t^7.149 + 5*t^7.361 + 7*t^7.383 + 5*t^7.595 + 4*t^7.617 + 13*t^7.83 + 8*t^8.064 - t^8.085 + 12*t^8.298 - 2*t^8.319 + t^8.51 - 4*t^8.532 - 2*t^8.553 + 2*t^8.744 - 14*t^8.766 + 7*t^8.978 - t^4.383/y - t^6.681/y - t^6.915/y - (3*t^7.149)/y + (3*t^7.617)/y + t^7.83/y + t^7.851/y + (4*t^8.064)/y + t^8.085/y + (5*t^8.298)/y + (7*t^8.532)/y + (4*t^8.766)/y - t^8.978/y - t^4.383*y - t^6.681*y - t^6.915*y - 3*t^7.149*y + 3*t^7.617*y + t^7.83*y + t^7.851*y + 4*t^8.064*y + t^8.085*y + 5*t^8.298*y + 7*t^8.532*y + 4*t^8.766*y - t^8.978*y | t^2.298/g1^6 + t^2.532/g1^4 + (4*t^2.766)/g1^2 + t^3. + t^3.915/g1^5 + t^4.149/g1^3 + (2*t^4.383)/g1 + t^4.595/g1^12 + 2*g1*t^4.617 + t^4.83/g1^10 + 2*g1^3*t^4.851 + (5*t^5.064)/g1^8 + g1^5*t^5.085 + (4*t^5.298)/g1^6 + g1^7*t^5.319 + (9*t^5.532)/g1^4 + t^5.766/g1^2 - 3*t^6. + t^6.213/g1^11 - 3*g1^2*t^6.234 + (2*t^6.447)/g1^9 - 3*g1^4*t^6.468 + (6*t^6.681)/g1^7 - g1^6*t^6.702 + t^6.893/g1^18 + (7*t^6.915)/g1^5 + t^7.127/g1^16 + (8*t^7.149)/g1^3 + (5*t^7.361)/g1^14 + (7*t^7.383)/g1 + (5*t^7.595)/g1^12 + 4*g1*t^7.617 + (13*t^7.83)/g1^10 + (8*t^8.064)/g1^8 - g1^5*t^8.085 + (12*t^8.298)/g1^6 - 2*g1^7*t^8.319 + t^8.51/g1^17 - (4*t^8.532)/g1^4 - 2*g1^9*t^8.553 + (2*t^8.744)/g1^15 - (14*t^8.766)/g1^2 + (7*t^8.978)/g1^13 - t^4.383/(g1*y) - t^6.681/(g1^7*y) - t^6.915/(g1^5*y) - (3*t^7.149)/(g1^3*y) + (3*g1*t^7.617)/y + t^7.83/(g1^10*y) + (g1^3*t^7.851)/y + (4*t^8.064)/(g1^8*y) + (g1^5*t^8.085)/y + (5*t^8.298)/(g1^6*y) + (7*t^8.532)/(g1^4*y) + (4*t^8.766)/(g1^2*y) - t^8.978/(g1^13*y) - (t^4.383*y)/g1 - (t^6.681*y)/g1^7 - (t^6.915*y)/g1^5 - (3*t^7.149*y)/g1^3 + 3*g1*t^7.617*y + (t^7.83*y)/g1^10 + g1^3*t^7.851*y + (4*t^8.064*y)/g1^8 + g1^5*t^8.085*y + (5*t^8.298*y)/g1^6 + (7*t^8.532*y)/g1^4 + (4*t^8.766*y)/g1^2 - (t^8.978*y)/g1^13 |
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 |
---|---|---|---|---|---|---|---|---|
4310 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$ | 0.7505 | 0.9475 | 0.7921 | [M:[0.9243, 1.0757, 0.7728, 1.0, 0.9243, 0.8485, 0.9243, 0.6894], q:[0.5, 0.5757], qb:[0.4243, 0.6515], phi:[0.4621]] | t^2.068 + t^2.318 + t^2.546 + 4*t^2.773 + t^3. + t^4.136 + t^4.159 + 3*t^4.386 + 3*t^4.614 + t^4.637 + 6*t^4.841 + t^4.864 + 2*t^5.068 + 5*t^5.091 + t^5.295 + 4*t^5.318 + 9*t^5.546 + t^5.773 - 3*t^6. - t^4.386/y - t^4.386*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 |
---|---|---|---|---|---|---|---|---|---|
1280 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{4}^{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ | 0.723 | 0.8948 | 0.8079 | [M:[0.9286, 1.0714, 0.7859, 1.0, 0.9286, 0.8572], q:[0.5, 0.5714], qb:[0.4286, 0.6428], phi:[0.4643]] | t^2.358 + t^2.572 + 3*t^2.786 + t^3. + t^3.214 + t^3.965 + t^4.179 + 2*t^4.393 + 2*t^4.607 + t^4.715 + 2*t^4.821 + t^4.929 + t^5.035 + 4*t^5.143 + t^5.249 + 3*t^5.358 + 6*t^5.572 + t^5.786 - t^4.393/y - t^4.393*y | detail |