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 |
|---|---|---|---|---|---|---|---|---|---|
| 1179 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ | 0.7015 | 0.8773 | 0.7996 | [M:[1.0088, 1.1217, 0.9436, 0.7478, 0.7478, 0.8131], q:[0.7804, 0.4065], qb:[0.5847, 0.4718], phi:[0.4392]] | [M:[[32], [-12], [22], [-8], [-8], [2]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{5}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{3}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$ | ${}$ | -2 | 2*t^2.243 + t^2.439 + t^2.635 + t^2.831 + t^3.026 + t^3.365 + t^3.952 + t^4.095 + t^4.148 + t^4.291 + 4*t^4.487 + 2*t^4.683 + t^4.825 + 3*t^4.878 + 3*t^5.074 + 4*t^5.27 + t^5.466 + 2*t^5.608 + t^5.661 + t^5.857 - 2*t^6. + t^6.053 + t^6.196 + t^6.339 + 3*t^6.392 + 2*t^6.534 + t^6.587 + 7*t^6.73 + t^6.783 + 4*t^6.926 + t^6.979 + 2*t^7.069 + 4*t^7.122 + t^7.175 + t^7.265 + 6*t^7.317 + t^7.46 + 7*t^7.513 + 3*t^7.709 + 2*t^7.852 + 4*t^7.905 - t^8.048 + 4*t^8.1 + t^8.191 - 5*t^8.243 + 4*t^8.296 - 2*t^8.439 + 2*t^8.492 + t^8.582 + 2*t^8.635 + t^8.688 + 2*t^8.778 - 2*t^8.831 + t^8.883 + t^8.921 + 10*t^8.974 - t^4.317/y - (2*t^6.561)/y - t^6.757/y - t^7.148/y + t^7.291/y - t^7.344/y + (2*t^7.487)/y + (2*t^7.683)/y + (3*t^7.878)/y + (5*t^8.074)/y + (3*t^8.27)/y + (2*t^8.466)/y + (2*t^8.608)/y + t^8.661/y - (2*t^8.804)/y + t^8.857/y - t^4.317*y - 2*t^6.561*y - t^6.757*y - t^7.148*y + t^7.291*y - t^7.344*y + 2*t^7.487*y + 2*t^7.683*y + 3*t^7.878*y + 5*t^8.074*y + 3*t^8.27*y + 2*t^8.466*y + 2*t^8.608*y + t^8.661*y - 2*t^8.804*y + t^8.857*y | (2*t^2.243)/g1^8 + g1^2*t^2.439 + g1^12*t^2.635 + g1^22*t^2.831 + g1^32*t^3.026 + t^3.365/g1^12 + g1^18*t^3.952 + t^4.095/g1^36 + g1^28*t^4.148 + t^4.291/g1^26 + (4*t^4.487)/g1^16 + (2*t^4.683)/g1^6 + t^4.825/g1^60 + 3*g1^4*t^4.878 + 3*g1^14*t^5.074 + 4*g1^24*t^5.27 + g1^34*t^5.466 + (2*t^5.608)/g1^20 + g1^44*t^5.661 + g1^54*t^5.857 - 2*t^6. + g1^64*t^6.053 + g1^10*t^6.196 + t^6.339/g1^44 + 3*g1^20*t^6.392 + (2*t^6.534)/g1^34 + g1^30*t^6.587 + (7*t^6.73)/g1^24 + g1^40*t^6.783 + (4*t^6.926)/g1^14 + g1^50*t^6.979 + (2*t^7.069)/g1^68 + (4*t^7.122)/g1^4 + g1^60*t^7.175 + t^7.265/g1^58 + 6*g1^6*t^7.317 + t^7.46/g1^48 + 7*g1^16*t^7.513 + 3*g1^26*t^7.709 + (2*t^7.852)/g1^28 + 4*g1^36*t^7.905 - t^8.048/g1^18 + 4*g1^46*t^8.1 + t^8.191/g1^72 - (5*t^8.243)/g1^8 + 4*g1^56*t^8.296 - 2*g1^2*t^8.439 + 2*g1^66*t^8.492 + t^8.582/g1^52 + 2*g1^12*t^8.635 + g1^76*t^8.688 + (2*t^8.778)/g1^42 - 2*g1^22*t^8.831 + g1^86*t^8.883 + t^8.921/g1^96 + (10*t^8.974)/g1^32 - (g1^6*t^4.317)/y - (2*t^6.561)/(g1^2*y) - (g1^8*t^6.757)/y - (g1^28*t^7.148)/y + t^7.291/(g1^26*y) - (g1^38*t^7.344)/y + (2*t^7.487)/(g1^16*y) + (2*t^7.683)/(g1^6*y) + (3*g1^4*t^7.878)/y + (5*g1^14*t^8.074)/y + (3*g1^24*t^8.27)/y + (2*g1^34*t^8.466)/y + (2*t^8.608)/(g1^20*y) + (g1^44*t^8.661)/y - (2*t^8.804)/(g1^10*y) + (g1^54*t^8.857)/y - g1^6*t^4.317*y - (2*t^6.561*y)/g1^2 - g1^8*t^6.757*y - g1^28*t^7.148*y + (t^7.291*y)/g1^26 - g1^38*t^7.344*y + (2*t^7.487*y)/g1^16 + (2*t^7.683*y)/g1^6 + 3*g1^4*t^7.878*y + 5*g1^14*t^8.074*y + 3*g1^24*t^8.27*y + 2*g1^34*t^8.466*y + (2*t^8.608*y)/g1^20 + g1^44*t^8.661*y - (2*t^8.804*y)/g1^10 + g1^54*t^8.857*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 |
|---|---|---|---|---|---|---|---|---|
| 2235 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{1}M_{7}$ | 0.7046 | 0.8841 | 0.7969 | [M:[1.0567, 1.1037, 0.9765, 0.7358, 0.7358, 0.816, 0.9433], q:[0.7759, 0.408], qb:[0.5353, 0.4882], phi:[0.4481]] | 2*t^2.207 + t^2.448 + t^2.689 + t^2.83 + t^2.929 + t^3.311 + t^3.934 + t^4.033 + t^4.174 + t^4.274 + 4*t^4.415 + t^4.556 + 2*t^4.656 + 3*t^4.896 + 2*t^5.037 + 3*t^5.137 + t^5.278 + 2*t^5.378 + 3*t^5.519 + t^5.66 + t^5.759 - 2*t^6. - t^4.344/y - t^4.344*y | detail | |
| 2234 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{7}$ | 0.6973 | 0.8712 | 0.8004 | [M:[1.0426, 1.109, 0.9668, 0.7394, 0.7394, 0.8152, 1.0332], q:[0.7773, 0.4076], qb:[0.5498, 0.4834], phi:[0.4455]] | 2*t^2.218 + t^2.445 + t^2.673 + t^3.1 + t^3.128 + t^3.327 + t^3.981 + t^4.009 + t^4.209 + t^4.237 + 4*t^4.436 + t^4.636 + 2*t^4.664 + 3*t^4.891 + t^5.118 + 2*t^5.318 + 3*t^5.346 + 3*t^5.545 + t^5.773 - 2*t^6. - t^4.336/y - t^4.336*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 |
|---|---|---|---|---|---|---|---|---|---|
| 718 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6858 | 0.8499 | 0.8069 | [M:[1.011, 1.1209, 0.945, 0.7473, 0.7473], q:[0.7802, 0.4066], qb:[0.5825, 0.4725], phi:[0.4396]] | 2*t^2.242 + t^2.637 + t^2.835 + t^3.033 + t^3.363 + t^3.56 + t^3.956 + t^4.088 + t^4.154 + t^4.286 + 4*t^4.484 + t^4.813 + 2*t^4.879 + 2*t^5.077 + 3*t^5.275 + 2*t^5.604 + t^5.67 + t^5.802 + t^5.868 - 2*t^6. - t^4.319/y - t^4.319*y | detail |