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 |
|---|---|---|---|---|---|---|---|---|---|
| 1031 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6301 | 0.7794 | 0.8084 | [M:[1.1971, 1.202, 0.7931, 0.8029, 0.8029, 0.8078], q:[0.8005, 0.4064], qb:[0.3966, 0.8005], phi:[0.399]] | [M:[[-6], [4], [-14], [6], [6], [16]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{3}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$ | ${}\phi_{1}\tilde{q}_{2}^{2}$ | 0 | t^2.379 + 2*t^2.409 + t^2.424 + t^3.591 + 2*t^3.606 + t^3.621 + t^3.635 + t^4.759 + 2*t^4.788 + 2*t^4.803 + 3*t^4.818 + 2*t^4.832 + t^4.847 + 4*t^6.015 + 3*t^6.029 + 3*t^6.044 + t^6.059 + t^7.138 + t^7.168 + t^7.197 + 3*t^7.212 + 6*t^7.226 + 5*t^7.241 + 3*t^7.256 + 2*t^7.271 - 3*t^8.379 - t^8.394 - 2*t^8.409 + 3*t^8.424 + 5*t^8.438 + 6*t^8.453 + 3*t^8.468 + t^8.482 - t^4.197/y - t^6.576/y - t^6.606/y - t^6.621/y + t^7.774/y + (3*t^7.788)/y + t^7.803/y + (2*t^7.818)/y + (2*t^7.832)/y - t^8.956/y + t^8.971/y + t^8.985/y - t^4.197*y - t^6.576*y - t^6.606*y - t^6.621*y + t^7.774*y + 3*t^7.788*y + t^7.803*y + 2*t^7.818*y + 2*t^7.832*y - t^8.956*y + t^8.971*y + t^8.985*y | t^2.379/g1^14 + 2*g1^6*t^2.409 + g1^16*t^2.424 + t^3.591/g1^6 + 2*g1^4*t^3.606 + g1^14*t^3.621 + g1^24*t^3.635 + t^4.759/g1^28 + (2*t^4.788)/g1^8 + 2*g1^2*t^4.803 + 3*g1^12*t^4.818 + 2*g1^22*t^4.832 + g1^32*t^4.847 + 4*g1^10*t^6.015 + 3*g1^20*t^6.029 + 3*g1^30*t^6.044 + g1^40*t^6.059 + t^7.138/g1^42 + t^7.168/g1^22 + t^7.197/g1^2 + 3*g1^8*t^7.212 + 6*g1^18*t^7.226 + 5*g1^28*t^7.241 + 3*g1^38*t^7.256 + 2*g1^48*t^7.271 - (3*t^8.379)/g1^14 - t^8.394/g1^4 - 2*g1^6*t^8.409 + 3*g1^16*t^8.424 + 5*g1^26*t^8.438 + 6*g1^36*t^8.453 + 3*g1^46*t^8.468 + g1^56*t^8.482 - t^4.197/(g1^2*y) - t^6.576/(g1^16*y) - (g1^4*t^6.606)/y - (g1^14*t^6.621)/y + t^7.774/(g1^18*y) + (3*t^7.788)/(g1^8*y) + (g1^2*t^7.803)/y + (2*g1^12*t^7.818)/y + (2*g1^22*t^7.832)/y - t^8.956/(g1^30*y) + t^8.971/(g1^20*y) + t^8.985/(g1^10*y) - (t^4.197*y)/g1^2 - (t^6.576*y)/g1^16 - g1^4*t^6.606*y - g1^14*t^6.621*y + (t^7.774*y)/g1^18 + (3*t^7.788*y)/g1^8 + g1^2*t^7.803*y + 2*g1^12*t^7.818*y + 2*g1^22*t^7.832*y - (t^8.956*y)/g1^30 + (t^8.971*y)/g1^20 + (t^8.985*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 |
|---|---|---|---|---|---|---|---|---|
| 1609 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{7}$ | 0.6465 | 0.8092 | 0.799 | [M:[1.2006, 1.1996, 0.8013, 0.7994, 0.7994, 0.7985, 0.7994], q:[0.7999, 0.3988], qb:[0.4007, 0.7999], phi:[0.4002]] | t^2.395 + 3*t^2.398 + t^2.404 + t^3.593 + t^3.596 + 2*t^3.599 + t^4.791 + 3*t^4.794 + 6*t^4.797 + 2*t^4.799 + 3*t^4.802 + t^4.808 + t^5.989 + 4*t^5.991 + 4*t^5.994 + 5*t^5.997 - 2*t^6. - t^4.201/y - t^4.201*y | detail | |
| 1610 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}M_{7}$ | 0.6138 | 0.7535 | 0.8146 | [M:[1.2058, 1.1961, 0.8136, 0.7942, 0.7942, 0.7844, 1.1864], q:[0.799, 0.3873], qb:[0.4068, 0.799], phi:[0.4019]] | t^2.353 + 2*t^2.382 + t^3.53 + 2*t^3.559 + 2*t^3.588 + t^3.618 + t^4.707 + 2*t^4.736 + 3*t^4.765 + t^4.794 + t^5.883 + 4*t^5.912 + 5*t^5.942 + 3*t^5.971 - t^6. - t^4.206/y - t^4.206*y | detail | |
| 1608 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6483 | 0.8111 | 0.7993 | [M:[1.1873, 1.2084, 0.7704, 0.8127, 0.8127, 0.8338, 0.7493], q:[0.8021, 0.4275], qb:[0.3852, 0.8021], phi:[0.3958]] | t^2.248 + t^2.311 + 2*t^2.438 + t^2.501 + t^3.562 + 2*t^3.625 + t^3.689 + t^4.496 + t^4.559 + t^4.623 + 2*t^4.686 + 3*t^4.749 + 2*t^4.813 + 3*t^4.876 + 2*t^4.939 + t^5.003 + t^5.81 + 2*t^5.873 + t^5.937 - t^4.187/y - t^4.187*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 |
|---|---|---|---|---|---|---|---|---|---|
| 647 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{5}$ | 0.615 | 0.7516 | 0.8183 | [M:[1.1856, 1.2096, 0.7664, 0.8144, 0.8144], q:[0.8024, 0.4312], qb:[0.3832, 0.8024], phi:[0.3952]] | t^2.299 + 2*t^2.443 + t^3.485 + t^3.557 + 2*t^3.629 + t^3.701 + t^3.773 + t^4.599 + 2*t^4.742 + t^4.814 + 3*t^4.886 + t^5.784 + 2*t^5.928 - t^4.186/y - t^4.186*y | detail |