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 |
---|---|---|---|---|---|---|---|---|---|
6670 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{8}$ + ${ }M_{9}\phi_{1}q_{1}q_{2}$ | 0.639 | 0.8443 | 0.7569 | [M:[1.2869, 0.8077, 0.9527, 1.142, 0.858, 0.7131, 0.6686, 1.142, 0.7633], q:[0.3092, 0.4039], qb:[0.7382, 0.4541], phi:[0.5237]] | [M:[[18], [-26], [4], [-12], [12], [-18], [28], [-12], [20]], q:[[-5], [-13]], qb:[[1], [25]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{6}$, ${ }M_{9}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }M_{8}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{7}M_{9}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{9}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{6}$, ${ }M_{9}^{2}$, ${ }M_{9}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{9}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{9}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{9}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{9}$, ${ }M_{8}M_{9}$, ${ }M_{9}\phi_{1}q_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{8}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{3}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{8}$, ${ }M_{2}\phi_{1}q_{1}^{2}$, ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{2}$ | ${}M_{6}\phi_{1}q_{1}\tilde{q}_{2}$ | -2 | t^2.006 + t^2.139 + 2*t^2.29 + t^2.423 + t^2.858 + t^3.142 + 3*t^3.426 + t^3.861 + t^4.012 + 2*t^4.145 + t^4.278 + 3*t^4.296 + 3*t^4.429 + t^4.562 + 3*t^4.58 + 2*t^4.713 + t^4.846 + t^4.864 + t^4.997 + 3*t^5.148 + 2*t^5.281 + 5*t^5.432 + 3*t^5.565 + 5*t^5.716 + 2*t^5.849 + t^5.867 - 2*t^6. + t^6.017 + 3*t^6.151 + 3*t^6.284 + 3*t^6.301 + t^6.417 + 4*t^6.435 + 5*t^6.568 + 5*t^6.585 + t^6.702 + 5*t^6.719 + 6*t^6.852 + 5*t^6.869 + t^6.986 + 3*t^7.003 + t^7.136 + 3*t^7.154 + t^7.27 + 4*t^7.287 + 8*t^7.438 + 5*t^7.571 + 4*t^7.704 + 9*t^7.722 + 4*t^7.855 + t^7.872 + 2*t^7.988 + 3*t^8.006 + t^8.023 + t^8.139 + 4*t^8.156 + 2*t^8.273 - 2*t^8.29 + 3*t^8.307 - t^8.423 + 6*t^8.44 + t^8.557 + 6*t^8.574 + 6*t^8.591 + 4*t^8.707 + 6*t^8.725 + t^8.841 + 7*t^8.858 + 8*t^8.875 + 5*t^8.991 - t^4.571/y - t^6.577/y - t^6.861/y - t^6.994/y + (2*t^7.145)/y + (2*t^7.296)/y + (3*t^7.429)/y + t^7.562/y + t^7.58/y + (2*t^7.713)/y + t^7.864/y + (4*t^8.148)/y + (3*t^8.281)/y + (5*t^8.432)/y + (5*t^8.565)/y - t^8.583/y + (6*t^8.716)/y + (3*t^8.849)/y - t^4.571*y - t^6.577*y - t^6.861*y - t^6.994*y + 2*t^7.145*y + 2*t^7.296*y + 3*t^7.429*y + t^7.562*y + t^7.58*y + 2*t^7.713*y + t^7.864*y + 4*t^8.148*y + 3*t^8.281*y + 5*t^8.432*y + 5*t^8.565*y - t^8.583*y + 6*t^8.716*y + 3*t^8.849*y | g1^28*t^2.006 + t^2.139/g1^18 + 2*g1^20*t^2.29 + t^2.423/g1^26 + g1^4*t^2.858 + t^3.142/g1^4 + (3*t^3.426)/g1^12 + g1^18*t^3.861 + g1^56*t^4.012 + 2*g1^10*t^4.145 + t^4.278/g1^36 + 3*g1^48*t^4.296 + 3*g1^2*t^4.429 + t^4.562/g1^44 + 3*g1^40*t^4.58 + (2*t^4.713)/g1^6 + t^4.846/g1^52 + g1^32*t^4.864 + t^4.997/g1^14 + 3*g1^24*t^5.148 + (2*t^5.281)/g1^22 + 5*g1^16*t^5.432 + (3*t^5.565)/g1^30 + 5*g1^8*t^5.716 + (2*t^5.849)/g1^38 + g1^46*t^5.867 - 2*t^6. + g1^84*t^6.017 + 3*g1^38*t^6.151 + (3*t^6.284)/g1^8 + 3*g1^76*t^6.301 + t^6.417/g1^54 + 4*g1^30*t^6.435 + (5*t^6.568)/g1^16 + 5*g1^68*t^6.585 + t^6.702/g1^62 + 5*g1^22*t^6.719 + (6*t^6.852)/g1^24 + 5*g1^60*t^6.869 + t^6.986/g1^70 + 3*g1^14*t^7.003 + t^7.136/g1^32 + 3*g1^52*t^7.154 + t^7.27/g1^78 + 4*g1^6*t^7.287 + 8*g1^44*t^7.438 + (5*t^7.571)/g1^2 + (4*t^7.704)/g1^48 + 9*g1^36*t^7.722 + (4*t^7.855)/g1^10 + g1^74*t^7.872 + (2*t^7.988)/g1^56 + 3*g1^28*t^8.006 + g1^112*t^8.023 + t^8.139/g1^18 + 4*g1^66*t^8.156 + (2*t^8.273)/g1^64 - 2*g1^20*t^8.29 + 3*g1^104*t^8.307 - t^8.423/g1^26 + 6*g1^58*t^8.44 + t^8.557/g1^72 + 6*g1^12*t^8.574 + 6*g1^96*t^8.591 + (4*t^8.707)/g1^34 + 6*g1^50*t^8.725 + t^8.841/g1^80 + 7*g1^4*t^8.858 + 8*g1^88*t^8.875 + (5*t^8.991)/g1^42 - t^4.571/(g1^2*y) - (g1^26*t^6.577)/y - (g1^18*t^6.861)/y - t^6.994/(g1^28*y) + (2*g1^10*t^7.145)/y + (2*g1^48*t^7.296)/y + (3*g1^2*t^7.429)/y + t^7.562/(g1^44*y) + (g1^40*t^7.58)/y + (2*t^7.713)/(g1^6*y) + (g1^32*t^7.864)/y + (4*g1^24*t^8.148)/y + (3*t^8.281)/(g1^22*y) + (5*g1^16*t^8.432)/y + (5*t^8.565)/(g1^30*y) - (g1^54*t^8.583)/y + (6*g1^8*t^8.716)/y + (3*t^8.849)/(g1^38*y) - (t^4.571*y)/g1^2 - g1^26*t^6.577*y - g1^18*t^6.861*y - (t^6.994*y)/g1^28 + 2*g1^10*t^7.145*y + 2*g1^48*t^7.296*y + 3*g1^2*t^7.429*y + (t^7.562*y)/g1^44 + g1^40*t^7.58*y + (2*t^7.713*y)/g1^6 + g1^32*t^7.864*y + 4*g1^24*t^8.148*y + (3*t^8.281*y)/g1^22 + 5*g1^16*t^8.432*y + (5*t^8.565*y)/g1^30 - g1^54*t^8.583*y + 6*g1^8*t^8.716*y + (3*t^8.849*y)/g1^38 |
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 |
---|---|---|---|---|---|---|---|---|---|
5093 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{1}M_{6}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{5}M_{8}$ | 0.6208 | 0.8111 | 0.7653 | [M:[1.2946, 0.7966, 0.9544, 1.1369, 0.8631, 0.7054, 0.6806, 1.1369], q:[0.307, 0.3983], qb:[0.7386, 0.4648], phi:[0.5228]] | t^2.042 + t^2.116 + t^2.315 + t^2.39 + t^2.863 + t^3.137 + 3*t^3.411 + t^3.685 + t^3.884 + t^4.083 + 2*t^4.158 + t^4.232 + 2*t^4.357 + 2*t^4.432 + t^4.506 + t^4.631 + t^4.705 + t^4.78 + t^4.905 + t^4.979 + 2*t^5.179 + 2*t^5.253 + 4*t^5.452 + 3*t^5.527 + 3*t^5.726 + 3*t^5.801 + t^5.926 - t^6. - t^4.568/y - t^4.568*y | detail |