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 |
---|---|---|---|---|---|---|---|---|---|
6212 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{8}$ + ${ }M_{5}^{2}$ + ${ }M_{9}\phi_{1}^{2}$ | 0.7336 | 0.9178 | 0.7993 | [M:[1.0523, 0.8431, 0.8954, 1.0, 1.0, 0.8954, 0.6831, 1.0, 1.0523], q:[0.5262, 0.4215], qb:[0.5785, 0.5785], phi:[0.4738]] | [M:[[2], [-6], [-4], [0], [0], [-4], [7], [0], [2]], q:[[1], [-3]], qb:[[3], [3]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{5}$, ${ }M_{8}$, ${ }M_{1}$, ${ }M_{9}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{7}M_{9}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{2}M_{9}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{9}$, ${ }M_{6}M_{9}$ | ${}M_{5}M_{8}$, ${ }M_{8}^{2}$ | -3 | t^2.049 + t^2.529 + 2*t^2.686 + 2*t^3. + 2*t^3.157 + t^4.098 + t^4.265 + 2*t^4.422 + 2*t^4.578 + 4*t^4.735 + 3*t^4.892 + 2*t^5.049 + t^5.059 + 2*t^5.206 + 2*t^5.215 + 3*t^5.372 + 5*t^5.686 + 2*t^5.843 - 3*t^6. + t^6.147 + 2*t^6.157 + 2*t^6.314 + 2*t^6.628 + 4*t^6.785 + t^6.794 + 3*t^6.941 + 2*t^6.951 + 2*t^7.098 + 4*t^7.108 + 2*t^7.255 + 4*t^7.265 + 9*t^7.422 + 6*t^7.578 + t^7.588 + 4*t^7.735 + 2*t^7.745 + 6*t^7.892 + 3*t^7.902 - t^8.049 + 4*t^8.059 + t^8.197 + t^8.215 + 2*t^8.363 + 6*t^8.372 - 2*t^8.529 + 2*t^8.677 - 8*t^8.686 + 4*t^8.834 + 5*t^8.843 + 3*t^8.991 - t^4.422/y - t^6.471/y - t^6.951/y - (2*t^7.108)/y + t^7.265/y + (4*t^7.735)/y + t^7.892/y + (2*t^8.049)/y + (2*t^8.206)/y + (2*t^8.215)/y + (2*t^8.372)/y - t^8.52/y + (2*t^8.529)/y + (6*t^8.686)/y + (4*t^8.843)/y - t^4.422*y - t^6.471*y - t^6.951*y - 2*t^7.108*y + t^7.265*y + 4*t^7.735*y + t^7.892*y + 2*t^8.049*y + 2*t^8.206*y + 2*t^8.215*y + 2*t^8.372*y - t^8.52*y + 2*t^8.529*y + 6*t^8.686*y + 4*t^8.843*y | g1^7*t^2.049 + t^2.529/g1^6 + (2*t^2.686)/g1^4 + 2*t^3. + 2*g1^2*t^3.157 + g1^14*t^4.098 + t^4.265/g1^3 + (2*t^4.422)/g1 + 2*g1*t^4.578 + 4*g1^3*t^4.735 + 3*g1^5*t^4.892 + 2*g1^7*t^5.049 + t^5.059/g1^12 + 2*g1^9*t^5.206 + (2*t^5.215)/g1^10 + (3*t^5.372)/g1^8 + (5*t^5.686)/g1^4 + (2*t^5.843)/g1^2 - 3*t^6. + g1^21*t^6.147 + 2*g1^2*t^6.157 + 2*g1^4*t^6.314 + 2*g1^8*t^6.628 + 4*g1^10*t^6.785 + t^6.794/g1^9 + 3*g1^12*t^6.941 + (2*t^6.951)/g1^7 + 2*g1^14*t^7.098 + (4*t^7.108)/g1^5 + 2*g1^16*t^7.255 + (4*t^7.265)/g1^3 + (9*t^7.422)/g1 + 6*g1*t^7.578 + t^7.588/g1^18 + 4*g1^3*t^7.735 + (2*t^7.745)/g1^16 + 6*g1^5*t^7.892 + (3*t^7.902)/g1^14 - g1^7*t^8.049 + (4*t^8.059)/g1^12 + g1^28*t^8.197 + t^8.215/g1^10 + 2*g1^11*t^8.363 + (6*t^8.372)/g1^8 - (2*t^8.529)/g1^6 + 2*g1^15*t^8.677 - (8*t^8.686)/g1^4 + 4*g1^17*t^8.834 + (5*t^8.843)/g1^2 + 3*g1^19*t^8.991 - t^4.422/(g1*y) - (g1^6*t^6.471)/y - t^6.951/(g1^7*y) - (2*t^7.108)/(g1^5*y) + t^7.265/(g1^3*y) + (4*g1^3*t^7.735)/y + (g1^5*t^7.892)/y + (2*g1^7*t^8.049)/y + (2*g1^9*t^8.206)/y + (2*t^8.215)/(g1^10*y) + (2*t^8.372)/(g1^8*y) - (g1^13*t^8.52)/y + (2*t^8.529)/(g1^6*y) + (6*t^8.686)/(g1^4*y) + (4*t^8.843)/(g1^2*y) - (t^4.422*y)/g1 - g1^6*t^6.471*y - (t^6.951*y)/g1^7 - (2*t^7.108*y)/g1^5 + (t^7.265*y)/g1^3 + 4*g1^3*t^7.735*y + g1^5*t^7.892*y + 2*g1^7*t^8.049*y + 2*g1^9*t^8.206*y + (2*t^8.215*y)/g1^10 + (2*t^8.372*y)/g1^8 - g1^13*t^8.52*y + (2*t^8.529*y)/g1^6 + (6*t^8.686*y)/g1^4 + (4*t^8.843*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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
4660 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{4}M_{8}$ + ${ }M_{5}^{2}$ | 0.7387 | 0.9262 | 0.7975 | [M:[1.0564, 0.8307, 0.8871, 1.0, 1.0, 0.8871, 0.6975, 1.0], q:[0.5282, 0.4153], qb:[0.5847, 0.5847], phi:[0.4718]] | t^2.093 + t^2.492 + 2*t^2.661 + t^2.831 + 2*t^3. + t^3.169 + t^4.185 + t^4.246 + 2*t^4.415 + 2*t^4.585 + 4*t^4.754 + 4*t^4.923 + t^4.984 + 2*t^5.093 + 2*t^5.153 + t^5.262 + 4*t^5.323 + 2*t^5.492 + 5*t^5.661 + 2*t^5.831 - 2*t^6. - t^4.415/y - t^4.415*y | detail |