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 |
---|---|---|---|---|---|---|---|---|---|
2970 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{6}\phi_{1}q_{1}^{2}$ | 0.6488 | 0.8093 | 0.8017 | [X:[1.6082], M:[0.8245, 0.7428, 1.1755, 0.3918, 0.8245, 0.8245], q:[0.3918, 0.7837], qb:[0.4327, 0.8245], phi:[0.3918]] | [X:[[1]], M:[[3], [-7], [-3], [-1], [3], [3]], q:[[-1], [-2]], qb:[[4], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$ | ${}\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | -1 | t^2.228 + t^2.351 + 3*t^2.474 + 3*t^3.649 + t^3.772 + t^4.457 + t^4.579 + 4*t^4.702 + 4*t^4.825 + 6*t^4.947 + t^5.877 - t^6. + 8*t^6.123 + 3*t^6.245 + t^6.685 + t^6.808 + 4*t^6.93 + 3*t^7.053 + 4*t^7.175 + 8*t^7.298 + 11*t^7.421 + t^7.543 + t^8.106 - 3*t^8.228 - t^8.351 - 5*t^8.474 + 14*t^8.596 + 6*t^8.719 + t^8.913 - t^4.175/y - t^6.404/y - t^6.526/y - (2*t^6.649)/y + t^7.579/y + (5*t^7.702)/y + (4*t^7.825)/y + (4*t^7.947)/y - t^8.632/y - t^8.755/y - t^4.175*y - t^6.404*y - t^6.526*y - 2*t^6.649*y + t^7.579*y + 5*t^7.702*y + 4*t^7.825*y + 4*t^7.947*y - t^8.632*y - t^8.755*y | t^2.228/g1^7 + t^2.351/g1^2 + 3*g1^3*t^2.474 + 3*g1^2*t^3.649 + g1^7*t^3.772 + t^4.457/g1^14 + t^4.579/g1^9 + (4*t^4.702)/g1^4 + 4*g1*t^4.825 + 6*g1^6*t^4.947 + t^5.877/g1^5 - t^6. + 8*g1^5*t^6.123 + 3*g1^10*t^6.245 + t^6.685/g1^21 + t^6.808/g1^16 + (4*t^6.93)/g1^11 + (3*t^7.053)/g1^6 + (4*t^7.175)/g1 + 8*g1^4*t^7.298 + 11*g1^9*t^7.421 + g1^14*t^7.543 + t^8.106/g1^12 - (3*t^8.228)/g1^7 - t^8.351/g1^2 - 5*g1^3*t^8.474 + 14*g1^8*t^8.596 + 6*g1^13*t^8.719 + t^8.913/g1^28 - t^4.175/(g1*y) - t^6.404/(g1^8*y) - t^6.526/(g1^3*y) - (2*g1^2*t^6.649)/y + t^7.579/(g1^9*y) + (5*t^7.702)/(g1^4*y) + (4*g1*t^7.825)/y + (4*g1^6*t^7.947)/y - t^8.632/(g1^15*y) - t^8.755/(g1^10*y) - (t^4.175*y)/g1 - (t^6.404*y)/g1^8 - (t^6.526*y)/g1^3 - 2*g1^2*t^6.649*y + (t^7.579*y)/g1^9 + (5*t^7.702*y)/g1^4 + 4*g1*t^7.825*y + 4*g1^6*t^7.947*y - (t^8.632*y)/g1^15 - (t^8.755*y)/g1^10 |
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
1934 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ | 0.6342 | 0.7835 | 0.8094 | [X:[1.6111], M:[0.8334, 0.722, 1.1666, 0.3889, 0.8334], q:[0.3889, 0.7777], qb:[0.4446, 0.8334], phi:[0.3889]] | t^2.166 + t^2.333 + 2*t^2.5 + t^3.5 + 3*t^3.667 + t^3.834 + t^4.332 + t^4.499 + 3*t^4.666 + 3*t^4.833 + 3*t^5.001 + t^5.666 + 2*t^5.833 + t^6. - t^4.167/y - t^4.167*y | detail |