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 |
---|---|---|---|---|---|---|---|---|---|
259 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ | 0.6155 | 0.7629 | 0.8067 | [M:[1.1409, 0.6796, 1.3204], q:[0.75, 0.4296], qb:[0.4296, 0.3909], phi:[0.5]] | [M:[[2], [-1], [1]], q:[[0], [-1]], qb:[[-1], [2]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}q_{1}q_{2}^{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | -1 | 2*t^2.461 + t^3. + 2*t^3.423 + 2*t^3.539 + t^3.845 + 2*t^3.961 + 3*t^4.077 + 3*t^4.923 + 2*t^5.461 + 2*t^5.884 - t^6. - 2*t^6.116 + 2*t^6.307 + 4*t^6.423 + 4*t^6.539 + 3*t^6.845 + 2*t^6.961 + 2*t^7.077 + 2*t^7.268 + 6*t^7.384 + 2*t^7.5 + 2*t^7.616 + t^7.691 + 2*t^7.807 + 5*t^7.923 + 2*t^8.039 + 5*t^8.155 + 2*t^8.345 - 4*t^8.461 - 4*t^8.577 + 3*t^8.768 + 4*t^8.884 - t^4.5/y + t^7.077/y + (2*t^8.461)/y + (4*t^8.884)/y - t^4.5*y + t^7.077*y + 2*t^8.461*y + 4*t^8.884*y | 2*g1*t^2.461 + t^3. + 2*g1^2*t^3.423 + (2*t^3.539)/g1 + g1^4*t^3.845 + 2*g1*t^3.961 + (3*t^4.077)/g1^2 + 3*g1^2*t^4.923 + 2*g1*t^5.461 + 2*g1^3*t^5.884 - t^6. - (2*t^6.116)/g1^3 + 2*g1^5*t^6.307 + 4*g1^2*t^6.423 + (4*t^6.539)/g1 + 3*g1^4*t^6.845 + 2*g1*t^6.961 + (2*t^7.077)/g1^2 + 2*g1^6*t^7.268 + 6*g1^3*t^7.384 + 2*t^7.5 + (2*t^7.616)/g1^3 + g1^8*t^7.691 + 2*g1^5*t^7.807 + 5*g1^2*t^7.923 + (2*t^8.039)/g1 + (5*t^8.155)/g1^4 + 2*g1^4*t^8.345 - 4*g1*t^8.461 - (4*t^8.577)/g1^2 + 3*g1^6*t^8.768 + 4*g1^3*t^8.884 - t^4.5/y + t^7.077/(g1^2*y) + (2*g1*t^8.461)/y + (4*g1^3*t^8.884)/y - t^4.5*y + (t^7.077*y)/g1^2 + 2*g1*t^8.461*y + 4*g1^3*t^8.884*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 |
---|---|---|---|---|---|---|---|---|
1760 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}q_{2}$ | 0.6309 | 0.7906 | 0.7979 | [M:[1.1293, 0.6853, 1.3147, 0.8147], q:[0.75, 0.4353], qb:[0.4353, 0.3793], phi:[0.5]] | 3*t^2.444 + t^3. + 2*t^3.388 + t^3.556 + t^3.776 + 2*t^3.944 + 3*t^4.112 + 6*t^4.888 + 3*t^5.444 + 4*t^5.832 - 2*t^6. - t^4.5/y - t^4.5*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 |
---|---|---|---|---|---|---|---|---|---|
164 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6363 | 0.8037 | 0.7917 | [M:[1.1421, 0.679], q:[0.75, 0.429], qb:[0.429, 0.3921], phi:[0.5]] | t^2.037 + 2*t^2.463 + t^3. + 2*t^3.426 + 2*t^3.537 + t^3.853 + t^3.963 + 4*t^4.074 + 2*t^4.5 + 3*t^4.926 + t^5.037 + 4*t^5.463 + 2*t^5.574 + 3*t^5.889 - t^4.5/y - t^4.5*y | detail |