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 |
|---|---|---|---|---|---|---|---|---|---|
| 4048 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{8}q_{1}q_{2}$ | 0.6954 | 0.8675 | 0.8016 | [M:[0.9859, 1.1303, 0.9278, 0.6954, 0.8697, 0.7535, 1.2465, 0.8116], q:[0.7826, 0.4058], qb:[0.6083, 0.4639], phi:[0.4349]] | [M:[[32], [-12], [22], [-18], [12], [-8], [8], [2]], q:[[-3], [1]], qb:[[-33], [11]], phi:[[6]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{8}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{7}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{8}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{8}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}M_{8}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{8}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{8}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{7}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$ | ${}$ | -3 | t^2.086 + t^2.435 + 2*t^2.609 + t^2.783 + t^2.958 + 2*t^3.739 + t^4.088 + 2*t^4.173 + t^4.347 + 2*t^4.521 + 2*t^4.695 + 2*t^4.87 + t^4.954 + 3*t^5.044 + 4*t^5.218 + 2*t^5.393 + 2*t^5.567 + t^5.741 + t^5.826 + t^5.915 - 3*t^6. + t^6.174 + 2*t^6.259 + 3*t^6.349 + 2*t^6.523 + 2*t^6.607 + 3*t^6.697 + 3*t^6.782 + 4*t^6.956 + t^7.041 + t^7.046 + 3*t^7.13 + 4*t^7.305 + t^7.389 + 5*t^7.479 + t^7.563 + 5*t^7.653 - t^7.738 + 8*t^7.827 + t^7.912 + 4*t^8.002 - 3*t^8.086 + 4*t^8.176 + 2*t^8.345 + 3*t^8.35 - 3*t^8.435 + 2*t^8.525 - 4*t^8.609 + 4*t^8.694 + t^8.699 - t^8.783 + t^8.868 + t^8.873 + 2*t^8.958 - t^4.305/y - t^6.391/y - t^6.739/y - t^6.914/y - t^7.088/y - t^7.262/y + t^7.347/y + (2*t^7.521)/y + (3*t^7.695)/y + (2*t^7.87)/y + (3*t^8.044)/y + (3*t^8.218)/y + (3*t^8.393)/y - t^8.477/y + (2*t^8.567)/y + t^8.741/y + t^8.826/y - t^4.305*y - t^6.391*y - t^6.739*y - t^6.914*y - t^7.088*y - t^7.262*y + t^7.347*y + 2*t^7.521*y + 3*t^7.695*y + 2*t^7.87*y + 3*t^8.044*y + 3*t^8.218*y + 3*t^8.393*y - t^8.477*y + 2*t^8.567*y + t^8.741*y + t^8.826*y | t^2.086/g1^18 + g1^2*t^2.435 + 2*g1^12*t^2.609 + g1^22*t^2.783 + g1^32*t^2.958 + 2*g1^8*t^3.739 + g1^28*t^4.088 + (2*t^4.173)/g1^36 + t^4.347/g1^26 + (2*t^4.521)/g1^16 + (2*t^4.695)/g1^6 + 2*g1^4*t^4.87 + t^4.954/g1^60 + 3*g1^14*t^5.044 + 4*g1^24*t^5.218 + 2*g1^34*t^5.393 + 2*g1^44*t^5.567 + g1^54*t^5.741 + t^5.826/g1^10 + g1^64*t^5.915 - 3*t^6. + g1^10*t^6.174 + (2*t^6.259)/g1^54 + 3*g1^20*t^6.349 + 2*g1^30*t^6.523 + (2*t^6.607)/g1^34 + 3*g1^40*t^6.697 + (3*t^6.782)/g1^24 + (4*t^6.956)/g1^14 + t^7.041/g1^78 + g1^60*t^7.046 + (3*t^7.13)/g1^4 + 4*g1^6*t^7.305 + t^7.389/g1^58 + 5*g1^16*t^7.479 + t^7.563/g1^48 + 5*g1^26*t^7.653 - t^7.738/g1^38 + 8*g1^36*t^7.827 + t^7.912/g1^28 + 4*g1^46*t^8.002 - (3*t^8.086)/g1^18 + 4*g1^56*t^8.176 + (2*t^8.345)/g1^72 + 3*g1^66*t^8.35 - 3*g1^2*t^8.435 + 2*g1^76*t^8.525 - 4*g1^12*t^8.609 + (4*t^8.694)/g1^52 + g1^86*t^8.699 - g1^22*t^8.783 + t^8.868/g1^42 + g1^96*t^8.873 + 2*g1^32*t^8.958 - (g1^6*t^4.305)/y - t^6.391/(g1^12*y) - (g1^8*t^6.739)/y - (g1^18*t^6.914)/y - (g1^28*t^7.088)/y - (g1^38*t^7.262)/y + t^7.347/(g1^26*y) + (2*t^7.521)/(g1^16*y) + (3*t^7.695)/(g1^6*y) + (2*g1^4*t^7.87)/y + (3*g1^14*t^8.044)/y + (3*g1^24*t^8.218)/y + (3*g1^34*t^8.393)/y - t^8.477/(g1^30*y) + (2*g1^44*t^8.567)/y + (g1^54*t^8.741)/y + t^8.826/(g1^10*y) - g1^6*t^4.305*y - (t^6.391*y)/g1^12 - g1^8*t^6.739*y - g1^18*t^6.914*y - g1^28*t^7.088*y - g1^38*t^7.262*y + (t^7.347*y)/g1^26 + (2*t^7.521*y)/g1^16 + (3*t^7.695*y)/g1^6 + 2*g1^4*t^7.87*y + 3*g1^14*t^8.044*y + 3*g1^24*t^8.218*y + 3*g1^34*t^8.393*y - (t^8.477*y)/g1^30 + 2*g1^44*t^8.567*y + g1^54*t^8.741*y + (t^8.826*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 |
|---|---|---|---|---|---|---|---|---|
| 5608 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{7}$ + ${ }M_{8}q_{1}q_{2}$ + ${ }M_{3}M_{9}$ | 0.6897 | 0.8582 | 0.8037 | [M:[1.0174, 1.1185, 0.9495, 0.6777, 0.8815, 0.7456, 1.2544, 0.8136, 1.0505], q:[0.7796, 0.4068], qb:[0.5758, 0.4747], phi:[0.4408]] | t^2.033 + t^2.441 + 2*t^2.645 + t^3.052 + t^3.152 + 2*t^3.763 + 2*t^4.066 + t^4.171 + t^4.27 + 2*t^4.474 + 2*t^4.678 + t^4.777 + t^4.882 + 3*t^5.085 + t^5.185 + 3*t^5.289 + t^5.592 + t^5.697 + 3*t^5.796 - 3*t^6. - t^4.322/y - t^4.322*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 |
|---|---|---|---|---|---|---|---|---|---|
| 1651 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}M_{7}$ | 0.6796 | 0.8399 | 0.8092 | [M:[0.9879, 1.1295, 0.9292, 0.6943, 0.8705, 0.753, 1.247], q:[0.7824, 0.4059], qb:[0.6062, 0.4646], phi:[0.4352]] | t^2.083 + 2*t^2.611 + t^2.788 + t^2.964 + t^3.565 + 2*t^3.741 + t^4.093 + 2*t^4.166 + t^4.342 + t^4.518 + 2*t^4.694 + t^4.87 + t^4.943 + t^5.047 + 3*t^5.223 + t^5.399 + 2*t^5.575 + t^5.648 + t^5.751 + t^5.824 + t^5.928 - 3*t^6. - t^4.306/y - t^4.306*y | detail |