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 |
---|---|---|---|---|---|---|---|---|---|
971 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}^{2}$ | 0.7051 | 0.8629 | 0.8172 | [M:[1.0, 0.9027, 1.0, 0.9027, 1.0486], q:[0.5243, 0.4757], qb:[0.4757, 0.6216], phi:[0.4757]] | [M:[[0], [-4], [0], [-4], [2]], q:[[1], [-1]], qb:[[-1], [5]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$ | ${}M_{1}M_{3}$ | -2 | 2*t^2.708 + t^2.854 + 2*t^3. + t^3.146 + t^3.438 + 3*t^4.281 + 2*t^4.427 + t^4.573 + 2*t^4.719 + t^4.865 + t^5.157 + 3*t^5.416 + 4*t^5.708 + 2*t^5.854 - 2*t^6. + 2*t^6.146 + t^6.584 + t^6.876 + 4*t^6.989 + 6*t^7.135 + 6*t^7.281 + 3*t^7.427 + 2*t^7.573 + 2*t^7.719 + 2*t^7.865 + t^8.011 + 4*t^8.124 + 2*t^8.157 + t^8.303 + 4*t^8.416 + 6*t^8.562 + t^8.595 - 2*t^8.708 + t^8.854 - t^4.427/y - (2*t^7.135)/y + (2*t^7.719)/y + t^8.416/y + (2*t^8.562)/y + (4*t^8.708)/y + (4*t^8.854)/y - t^4.427*y - 2*t^7.135*y + 2*t^7.719*y + t^8.416*y + 2*t^8.562*y + 4*t^8.708*y + 4*t^8.854*y | (2*t^2.708)/g1^4 + t^2.854/g1^2 + 2*t^3. + g1^2*t^3.146 + g1^6*t^3.438 + (3*t^4.281)/g1^3 + (2*t^4.427)/g1 + g1*t^4.573 + 2*g1^3*t^4.719 + g1^5*t^4.865 + g1^9*t^5.157 + (3*t^5.416)/g1^8 + (4*t^5.708)/g1^4 + (2*t^5.854)/g1^2 - 2*t^6. + 2*g1^2*t^6.146 + g1^8*t^6.584 + g1^12*t^6.876 + (4*t^6.989)/g1^7 + (6*t^7.135)/g1^5 + (6*t^7.281)/g1^3 + (3*t^7.427)/g1 + 2*g1*t^7.573 + 2*g1^3*t^7.719 + 2*g1^5*t^7.865 + g1^7*t^8.011 + (4*t^8.124)/g1^12 + 2*g1^9*t^8.157 + g1^11*t^8.303 + (4*t^8.416)/g1^8 + (6*t^8.562)/g1^6 + g1^15*t^8.595 - (2*t^8.708)/g1^4 + t^8.854/g1^2 - t^4.427/(g1*y) - (2*t^7.135)/(g1^5*y) + (2*g1^3*t^7.719)/y + t^8.416/(g1^8*y) + (2*t^8.562)/(g1^6*y) + (4*t^8.708)/(g1^4*y) + (4*t^8.854)/(g1^2*y) - (t^4.427*y)/g1 - (2*t^7.135*y)/g1^5 + 2*g1^3*t^7.719*y + (t^8.416*y)/g1^8 + (2*t^8.562*y)/g1^6 + (4*t^8.708*y)/g1^4 + (4*t^8.854*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 |
---|---|---|---|---|---|---|---|---|
1510 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{5}M_{6}$ | 0.71 | 0.8716 | 0.8146 | [M:[1.0, 0.8862, 1.0, 0.8862, 1.0569, 0.9431], q:[0.5284, 0.4716], qb:[0.4716, 0.6422], phi:[0.4716]] | 2*t^2.659 + 2*t^2.829 + 2*t^3. + t^3.512 + 3*t^4.244 + 2*t^4.415 + t^4.585 + 2*t^4.756 + t^4.927 + t^5.268 + 3*t^5.317 + 2*t^5.488 + 6*t^5.659 + 2*t^5.829 - 3*t^6. - t^4.415/y - t^4.415*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 |
---|---|---|---|---|---|---|---|---|---|
603 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{1}^{2}$ | 0.7071 | 0.865 | 0.8174 | [M:[1.0, 0.8897, 0.9506, 0.9391, 1.0552], q:[0.5523, 0.4477], qb:[0.4971, 0.6132], phi:[0.4724]] | t^2.669 + t^2.817 + t^2.835 + t^2.852 + t^3. + t^3.165 + t^3.496 + t^4.104 + t^4.252 + t^4.4 + t^4.417 + t^4.565 + t^4.6 + t^4.731 + t^4.748 + t^4.914 + t^5.096 + t^5.338 + t^5.486 + t^5.521 + t^5.634 + 3*t^5.669 + t^5.704 + t^5.835 + t^5.983 - 2*t^6. - t^4.417/y - t^4.417*y | detail |