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 |
|---|---|---|---|---|---|---|---|---|---|
| 4957 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ + ${ }M_{5}X_{1}$ | 0.67 | 0.8344 | 0.803 | [X:[1.348], M:[0.826, 1.087, 1.0, 1.174, 0.652, 0.826, 0.7175, 1.0215], q:[0.4023, 0.7718], qb:[0.4237, 0.5763], phi:[0.4565]] | [X:[[16]], M:[[-8], [4], [0], [8], [-16], [-8], [10], [-22]], q:[[7], [1]], qb:[[-15], [15]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{7}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{8}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }X_{1}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{7}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{6}$, ${ }M_{7}q_{2}\tilde{q}_{1}$ | ${}$ | -2 | t^2.153 + 2*t^2.478 + t^3. + t^3.064 + t^3.261 + t^3.586 + t^3.783 + t^3.912 + t^4.044 + 2*t^4.305 + t^4.369 + 2*t^4.631 + t^4.827 + 3*t^4.956 + t^5.153 + t^5.217 + t^5.414 + t^5.478 + t^5.542 + 3*t^5.739 - 2*t^6. + 3*t^6.064 + t^6.129 + t^6.197 + 2*t^6.261 + 2*t^6.39 + t^6.458 + 2*t^6.522 + t^6.651 + 3*t^6.783 + 2*t^6.847 + t^6.976 + t^6.98 + 2*t^7.108 + t^7.173 + 3*t^7.305 + t^7.369 + 3*t^7.434 + t^7.498 + 2*t^7.566 + 2*t^7.631 + t^7.695 + t^7.824 + 2*t^7.892 + 2*t^7.956 + t^8.02 + 2*t^8.088 - 3*t^8.153 + 5*t^8.217 + 2*t^8.281 + t^8.349 + t^8.414 - 5*t^8.478 + 4*t^8.542 + t^8.607 + 2*t^8.61 + t^8.675 + 3*t^8.739 + 3*t^8.868 + t^8.871 - t^4.369/y - t^6.522/y - t^6.847/y + t^7.305/y - t^7.434/y + (2*t^7.631)/y + t^7.892/y + t^7.956/y + t^8.153/y + (2*t^8.217)/y + t^8.414/y + (2*t^8.478)/y + (2*t^8.542)/y - t^8.675/y + (3*t^8.739)/y + t^8.936/y - t^4.369*y - t^6.522*y - t^6.847*y + t^7.305*y - t^7.434*y + 2*t^7.631*y + t^7.892*y + t^7.956*y + t^8.153*y + 2*t^8.217*y + t^8.414*y + 2*t^8.478*y + 2*t^8.542*y - t^8.675*y + 3*t^8.739*y + t^8.936*y | g1^10*t^2.153 + (2*t^2.478)/g1^8 + t^3. + t^3.064/g1^22 + g1^4*t^3.261 + t^3.586/g1^14 + g1^12*t^3.783 + t^3.912/g1^32 + g1^16*t^4.044 + 2*g1^20*t^4.305 + t^4.369/g1^2 + 2*g1^2*t^4.631 + g1^28*t^4.827 + (3*t^4.956)/g1^16 + g1^10*t^5.153 + t^5.217/g1^12 + g1^14*t^5.414 + t^5.478/g1^8 + t^5.542/g1^30 + (3*t^5.739)/g1^4 - 2*t^6. + (3*t^6.064)/g1^22 + t^6.129/g1^44 + g1^26*t^6.197 + 2*g1^4*t^6.261 + (2*t^6.39)/g1^40 + g1^30*t^6.458 + 2*g1^8*t^6.522 + t^6.651/g1^36 + 3*g1^12*t^6.783 + (2*t^6.847)/g1^10 + t^6.976/g1^54 + g1^38*t^6.98 + (2*t^7.108)/g1^6 + t^7.173/g1^28 + 3*g1^20*t^7.305 + t^7.369/g1^2 + (3*t^7.434)/g1^24 + t^7.498/g1^46 + 2*g1^24*t^7.566 + 2*g1^2*t^7.631 + t^7.695/g1^20 + t^7.824/g1^64 + 2*g1^6*t^7.892 + (2*t^7.956)/g1^16 + t^8.02/g1^38 + 2*g1^32*t^8.088 - 3*g1^10*t^8.153 + (5*t^8.217)/g1^12 + (2*t^8.281)/g1^34 + g1^36*t^8.349 + g1^14*t^8.414 - (5*t^8.478)/g1^8 + (4*t^8.542)/g1^30 + t^8.607/g1^52 + 2*g1^40*t^8.61 + g1^18*t^8.675 + (3*t^8.739)/g1^4 + (3*t^8.868)/g1^48 + g1^44*t^8.871 - t^4.369/(g1^2*y) - (g1^8*t^6.522)/y - t^6.847/(g1^10*y) + (g1^20*t^7.305)/y - t^7.434/(g1^24*y) + (2*g1^2*t^7.631)/y + (g1^6*t^7.892)/y + t^7.956/(g1^16*y) + (g1^10*t^8.153)/y + (2*t^8.217)/(g1^12*y) + (g1^14*t^8.414)/y + (2*t^8.478)/(g1^8*y) + (2*t^8.542)/(g1^30*y) - (g1^18*t^8.675)/y + (3*t^8.739)/(g1^4*y) + (g1^22*t^8.936)/y - (t^4.369*y)/g1^2 - g1^8*t^6.522*y - (t^6.847*y)/g1^10 + g1^20*t^7.305*y - (t^7.434*y)/g1^24 + 2*g1^2*t^7.631*y + g1^6*t^7.892*y + (t^7.956*y)/g1^16 + g1^10*t^8.153*y + (2*t^8.217*y)/g1^12 + g1^14*t^8.414*y + (2*t^8.478*y)/g1^8 + (2*t^8.542*y)/g1^30 - g1^18*t^8.675*y + (3*t^8.739*y)/g1^4 + g1^22*t^8.936*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 |
|---|---|---|---|---|---|---|---|---|
| 6546 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ + ${ }M_{5}X_{1}$ + ${ }M_{9}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6907 | 0.8747 | 0.7897 | [X:[1.3424], M:[0.8288, 1.0856, 1.0, 1.1712, 0.6576, 0.8288, 0.714, 1.0291, 0.6849], q:[0.3998, 0.7714], qb:[0.429, 0.571], phi:[0.4572]] | t^2.055 + t^2.142 + 2*t^2.486 + t^3. + t^3.087 + t^3.257 + t^3.601 + t^3.77 + t^4.027 + t^4.109 + t^4.197 + 2*t^4.284 + t^4.372 + 2*t^4.541 + 2*t^4.628 + t^4.798 + 3*t^4.973 + t^5.055 + 2*t^5.142 + t^5.23 + t^5.311 + t^5.399 + t^5.486 + t^5.574 + t^5.656 + 3*t^5.743 + t^5.825 - 2*t^6. - t^4.372/y - t^4.372*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 |
|---|---|---|---|---|---|---|---|---|---|
| 3062 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{3}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{4}M_{6}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.695 | 0.8825 | 0.7875 | [M:[0.8422, 1.0789, 1.0, 1.1578, 0.6844, 0.8422, 0.6972], q:[0.3881, 0.7697], qb:[0.4541, 0.5459], phi:[0.4606]] | t^2.053 + t^2.092 + 2*t^2.527 + t^2.802 + t^3. + t^3.237 + t^3.672 + t^3.71 + 2*t^4.107 + t^4.145 + 2*t^4.183 + t^4.382 + 2*t^4.58 + 2*t^4.618 + t^4.657 + t^4.855 + t^4.893 + 4*t^5.053 + t^5.092 + t^5.29 + 3*t^5.328 + t^5.527 + t^5.604 + 4*t^5.763 + t^5.802 - 2*t^6. - t^4.382/y - t^4.382*y | detail |