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 |
---|---|---|---|---|---|---|---|---|---|
6203 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}M_{9}$ | 0.668 | 0.8353 | 0.7997 | [X:[1.3545], M:[1.1182, 0.6455, 0.8501, 0.9136, 1.0864, 0.9136, 1.0864, 0.6772, 0.8818], q:[0.5591, 0.3228], qb:[0.5908, 0.7637], phi:[0.4409]] | [X:[[6]], M:[[2], [-6], [-11], [7], [-7], [7], [-7], [3], [-2]], q:[[1], [-3]], qb:[[10], [-4]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{8}$, ${ }M_{3}$, ${ }M_{9}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{3}M_{8}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{8}M_{9}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{9}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{9}^{2}$, ${ }M_{9}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{6}M_{9}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{5}M_{9}$, ${ }M_{7}M_{9}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | ${}M_{6}M_{7}$, ${ }M_{8}q_{1}\tilde{q}_{2}$ | -2 | t^2.032 + t^2.55 + 2*t^2.646 + t^2.741 + 2*t^3.259 + t^3.968 + 3*t^4.063 + 2*t^4.582 + 2*t^4.677 + 2*t^4.772 + t^4.868 + t^5.101 + t^5.196 + 6*t^5.291 + 2*t^5.386 + 2*t^5.81 + 4*t^5.905 - 2*t^6. + 2*t^6.095 + 2*t^6.519 + 3*t^6.614 + 3*t^6.709 + 2*t^6.804 + t^6.899 + 2*t^7.132 + 3*t^7.228 + 6*t^7.323 + 3*t^7.418 + 2*t^7.513 + t^7.608 + t^7.651 + t^7.746 + 5*t^7.841 + 7*t^7.937 + 4*t^8.127 - t^8.222 + 2*t^8.36 + 3*t^8.455 + 5*t^8.55 - 3*t^8.646 - 3*t^8.741 + 2*t^8.836 + 3*t^8.931 - t^4.323/y - t^6.354/y - t^6.873/y - t^6.968/y + t^7.582/y + (3*t^7.677)/y + (2*t^7.772)/y + (2*t^8.196)/y + (5*t^8.291)/y + t^8.386/y + (2*t^8.81)/y + (3*t^8.905)/y - t^4.323*y - t^6.354*y - t^6.873*y - t^6.968*y + t^7.582*y + 3*t^7.677*y + 2*t^7.772*y + 2*t^8.196*y + 5*t^8.291*y + t^8.386*y + 2*t^8.81*y + 3*t^8.905*y | g1^3*t^2.032 + t^2.55/g1^11 + (2*t^2.646)/g1^2 + g1^7*t^2.741 + (2*t^3.259)/g1^7 + t^3.968/g1^3 + 3*g1^6*t^4.063 + (2*t^4.582)/g1^8 + 2*g1*t^4.677 + 2*g1^10*t^4.772 + g1^19*t^4.868 + t^5.101/g1^22 + t^5.196/g1^13 + (6*t^5.291)/g1^4 + 2*g1^5*t^5.386 + (2*t^5.81)/g1^18 + (4*t^5.905)/g1^9 - 2*t^6. + 2*g1^9*t^6.095 + (2*t^6.519)/g1^14 + (3*t^6.614)/g1^5 + 3*g1^4*t^6.709 + 2*g1^13*t^6.804 + g1^22*t^6.899 + (2*t^7.132)/g1^19 + (3*t^7.228)/g1^10 + (6*t^7.323)/g1 + 3*g1^8*t^7.418 + 2*g1^17*t^7.513 + g1^26*t^7.608 + t^7.651/g1^33 + t^7.746/g1^24 + (5*t^7.841)/g1^15 + (7*t^7.937)/g1^6 + 4*g1^12*t^8.127 - g1^21*t^8.222 + (2*t^8.36)/g1^29 + (3*t^8.455)/g1^20 + (5*t^8.55)/g1^11 - (3*t^8.646)/g1^2 - 3*g1^7*t^8.741 + 2*g1^16*t^8.836 + 3*g1^25*t^8.931 - t^4.323/(g1*y) - (g1^2*t^6.354)/y - t^6.873/(g1^12*y) - t^6.968/(g1^3*y) + t^7.582/(g1^8*y) + (3*g1*t^7.677)/y + (2*g1^10*t^7.772)/y + (2*t^8.196)/(g1^13*y) + (5*t^8.291)/(g1^4*y) + (g1^5*t^8.386)/y + (2*t^8.81)/(g1^18*y) + (3*t^8.905)/(g1^9*y) - (t^4.323*y)/g1 - g1^2*t^6.354*y - (t^6.873*y)/g1^12 - (t^6.968*y)/g1^3 + (t^7.582*y)/g1^8 + 3*g1*t^7.677*y + 2*g1^10*t^7.772*y + (2*t^8.196*y)/g1^13 + (5*t^8.291*y)/g1^4 + g1^5*t^8.386*y + (2*t^8.81*y)/g1^18 + (3*t^8.905*y)/g1^9 |
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 |
---|---|---|---|---|---|---|---|---|---|
4644 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{6}$ + ${ }M_{2}X_{1}$ + ${ }M_{4}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}q_{2}$ | 0.6574 | 0.8173 | 0.8044 | [X:[1.3498], M:[1.1166, 0.6502, 0.8587, 0.9081, 1.0919, 0.9081, 1.0919, 0.6749], q:[0.5583, 0.3251], qb:[0.583, 0.7668], phi:[0.4417]] | t^2.025 + t^2.576 + t^2.65 + t^2.724 + 2*t^3.276 + t^3.35 + t^3.975 + 3*t^4.049 + 2*t^4.601 + t^4.675 + 2*t^4.749 + t^4.823 + t^5.152 + 4*t^5.3 + 2*t^5.375 + 2*t^5.852 + 3*t^5.926 - t^6. - t^4.325/y - t^4.325*y | detail |