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 |
|---|---|---|---|---|---|---|---|---|---|
| 1150 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ | 0.6584 | 0.8122 | 0.8107 | [M:[0.9935, 1.0789, 1.1514, 0.8486, 0.7633, 1.0065], q:[0.7697, 0.5395], qb:[0.467, 0.3816], phi:[0.4605]] | [M:[[13], [-4], [5], [-5], [12], [-13]], q:[[-1], [-2]], qb:[[-11], [6]], phi:[[2]]] | 1 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{5}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{4}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -1 | t^2.29 + t^2.546 + t^2.763 + t^3.019 + t^3.237 + t^3.454 + t^3.671 + 2*t^3.928 + t^4.145 + t^4.184 + t^4.401 + t^4.58 + t^4.618 + t^4.836 + t^5.053 + t^5.092 + 2*t^5.309 + t^5.527 + t^5.565 + t^5.783 + t^5.961 - t^6. + t^6.039 + 2*t^6.217 + 2*t^6.435 + 2*t^6.473 + 3*t^6.691 + t^6.73 + t^6.869 + t^6.908 + 3*t^6.947 + t^7.126 + t^7.164 + t^7.203 + 2*t^7.343 + t^7.382 + t^7.42 + 3*t^7.599 + t^7.638 + 2*t^7.816 + 3*t^7.855 + 2*t^8.072 + 2*t^8.111 + t^8.251 - t^8.29 + 2*t^8.329 + t^8.367 + t^8.507 - t^8.546 + 2*t^8.585 + 2*t^8.725 + t^8.802 + 2*t^8.981 - t^4.382/y - t^6.671/y + t^7.836/y + t^8.053/y + t^8.092/y + (2*t^8.309)/y + t^8.527/y + t^8.565/y + t^8.744/y + (2*t^8.783)/y - t^4.382*y - t^6.671*y + t^7.836*y + t^8.053*y + t^8.092*y + 2*t^8.309*y + t^8.527*y + t^8.565*y + t^8.744*y + 2*t^8.783*y | g1^12*t^2.29 + t^2.546/g1^5 + g1^4*t^2.763 + t^3.019/g1^13 + t^3.237/g1^4 + g1^5*t^3.454 + g1^14*t^3.671 + (2*t^3.928)/g1^3 + g1^6*t^4.145 + t^4.184/g1^20 + t^4.401/g1^11 + g1^24*t^4.58 + t^4.618/g1^2 + g1^7*t^4.836 + g1^16*t^5.053 + t^5.092/g1^10 + (2*t^5.309)/g1 + g1^8*t^5.527 + t^5.565/g1^18 + t^5.783/g1^9 + g1^26*t^5.961 - t^6. + t^6.039/g1^26 + 2*g1^9*t^6.217 + 2*g1^18*t^6.435 + (2*t^6.473)/g1^8 + 3*g1*t^6.691 + t^6.73/g1^25 + g1^36*t^6.869 + g1^10*t^6.908 + (3*t^6.947)/g1^16 + g1^19*t^7.126 + t^7.164/g1^7 + t^7.203/g1^33 + 2*g1^28*t^7.343 + g1^2*t^7.382 + t^7.42/g1^24 + 3*g1^11*t^7.599 + t^7.638/g1^15 + 2*g1^20*t^7.816 + (3*t^7.855)/g1^6 + 2*g1^3*t^8.072 + (2*t^8.111)/g1^23 + g1^38*t^8.251 - g1^12*t^8.29 + (2*t^8.329)/g1^14 + t^8.367/g1^40 + g1^21*t^8.507 - t^8.546/g1^5 + (2*t^8.585)/g1^31 + 2*g1^30*t^8.725 + t^8.802/g1^22 + 2*g1^13*t^8.981 - (g1^2*t^4.382)/y - (g1^14*t^6.671)/y + (g1^7*t^7.836)/y + (g1^16*t^8.053)/y + t^8.092/(g1^10*y) + (2*t^8.309)/(g1*y) + (g1^8*t^8.527)/y + t^8.565/(g1^18*y) + (g1^17*t^8.744)/y + (2*t^8.783)/(g1^9*y) - g1^2*t^4.382*y - g1^14*t^6.671*y + g1^7*t^7.836*y + g1^16*t^8.053*y + (t^8.092*y)/g1^10 + (2*t^8.309*y)/g1 + g1^8*t^8.527*y + (t^8.565*y)/g1^18 + g1^17*t^8.744*y + (2*t^8.783*y)/g1^9 |
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 |
|---|---|---|---|---|---|---|---|---|
| 2172 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{6}$ + ${ }M_{2}M_{7}$ | 0.6658 | 0.8247 | 0.8074 | [M:[0.981, 1.0828, 1.1466, 0.8534, 0.7517, 1.019, 0.9172], q:[0.7707, 0.5414], qb:[0.4776, 0.3759], phi:[0.4586]] | t^2.255 + t^2.56 + 2*t^2.752 + t^3.057 + t^3.44 + t^3.631 + 2*t^3.936 + t^4.128 + t^4.241 + t^4.433 + t^4.51 + t^4.624 + t^4.816 + 2*t^5.007 + t^5.121 + 3*t^5.312 + 2*t^5.503 + t^5.617 + t^5.809 + t^5.886 - 2*t^6. - t^4.376/y - t^4.376*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 |
|---|---|---|---|---|---|---|---|---|---|
| 704 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.661 | 0.8174 | 0.8086 | [M:[0.951, 1.092, 1.135, 0.865, 0.724], q:[0.773, 0.546], qb:[0.503, 0.362], phi:[0.454]] | t^2.172 + t^2.595 + t^2.724 + t^2.853 + t^3.276 + t^3.405 + t^3.534 + 2*t^3.957 + t^4.086 + t^4.344 + t^4.38 + t^4.509 + t^4.638 + t^4.767 + t^4.896 + t^5.025 + t^5.19 + t^5.319 + 2*t^5.448 + t^5.577 + 2*t^5.706 - t^6. - t^4.362/y - t^4.362*y | detail |