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 |
---|---|---|---|---|---|---|---|---|---|
2246 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6569 | 0.8322 | 0.7893 | [M:[1.1706, 0.7315, 0.8294, 0.8294, 0.7315, 1.1706, 0.6826], q:[0.8049, 0.4636], qb:[0.3658, 0.8049], phi:[0.3902]] | [M:[[-6], [-14], [6], [6], [-14], [-6], [-24]], q:[[1], [13]], qb:[[-7], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{2}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | ${}M_{4}M_{6}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0 | t^2.048 + 2*t^2.195 + t^2.341 + t^2.488 + t^3.365 + 2*t^3.512 + t^3.659 + t^4.095 + 2*t^4.242 + 4*t^4.389 + 3*t^4.536 + 3*t^4.683 + 2*t^4.829 + t^4.976 + t^5.413 + 4*t^5.56 + 5*t^5.706 + 3*t^5.853 + t^6.143 - t^6.147 + 2*t^6.29 - t^6.294 + 4*t^6.437 + 7*t^6.584 + 7*t^6.73 + 8*t^6.877 + 7*t^7.024 + 2*t^7.171 - 2*t^7.317 + t^7.461 - 2*t^7.464 + 4*t^7.607 - t^7.611 + 8*t^7.754 + 9*t^7.901 + 5*t^8.048 + t^8.191 - t^8.195 + 2*t^8.338 - 3*t^8.341 + 4*t^8.484 - 5*t^8.488 + 7*t^8.631 - 4*t^8.635 + 12*t^8.778 - 2*t^8.782 + 14*t^8.925 - t^4.171/y - t^6.218/y - (2*t^6.365)/y - t^6.512/y + (2*t^7.242)/y + (2*t^7.389)/y + (3*t^7.536)/y + (2*t^7.683)/y + (2*t^7.829)/y + (2*t^7.976)/y + t^8.123/y - t^8.266/y - t^8.413/y + (4*t^8.706)/y + (4*t^8.853)/y - t^4.171*y - t^6.218*y - 2*t^6.365*y - t^6.512*y + 2*t^7.242*y + 2*t^7.389*y + 3*t^7.536*y + 2*t^7.683*y + 2*t^7.829*y + 2*t^7.976*y + t^8.123*y - t^8.266*y - t^8.413*y + 4*t^8.706*y + 4*t^8.853*y | t^2.048/g1^24 + (2*t^2.195)/g1^14 + t^2.341/g1^4 + g1^6*t^2.488 + t^3.365/g1^16 + (2*t^3.512)/g1^6 + g1^4*t^3.659 + t^4.095/g1^48 + (2*t^4.242)/g1^38 + (4*t^4.389)/g1^28 + (3*t^4.536)/g1^18 + (3*t^4.683)/g1^8 + 2*g1^2*t^4.829 + g1^12*t^4.976 + t^5.413/g1^40 + (4*t^5.56)/g1^30 + (5*t^5.706)/g1^20 + (3*t^5.853)/g1^10 + t^6.143/g1^72 - g1^10*t^6.147 + (2*t^6.29)/g1^62 - g1^20*t^6.294 + (4*t^6.437)/g1^52 + (7*t^6.584)/g1^42 + (7*t^6.73)/g1^32 + (8*t^6.877)/g1^22 + (7*t^7.024)/g1^12 + (2*t^7.171)/g1^2 - 2*g1^8*t^7.317 + t^7.461/g1^64 - 2*g1^18*t^7.464 + (4*t^7.607)/g1^54 - g1^28*t^7.611 + (8*t^7.754)/g1^44 + (9*t^7.901)/g1^34 + (5*t^8.048)/g1^24 + t^8.191/g1^96 - t^8.195/g1^14 + (2*t^8.338)/g1^86 - (3*t^8.341)/g1^4 + (4*t^8.484)/g1^76 - 5*g1^6*t^8.488 + (7*t^8.631)/g1^66 - 4*g1^16*t^8.635 + (12*t^8.778)/g1^56 - 2*g1^26*t^8.782 + (14*t^8.925)/g1^46 - t^4.171/(g1^2*y) - t^6.218/(g1^26*y) - (2*t^6.365)/(g1^16*y) - t^6.512/(g1^6*y) + (2*t^7.242)/(g1^38*y) + (2*t^7.389)/(g1^28*y) + (3*t^7.536)/(g1^18*y) + (2*t^7.683)/(g1^8*y) + (2*g1^2*t^7.829)/y + (2*g1^12*t^7.976)/y + (g1^22*t^8.123)/y - t^8.266/(g1^50*y) - t^8.413/(g1^40*y) + (4*t^8.706)/(g1^20*y) + (4*t^8.853)/(g1^10*y) - (t^4.171*y)/g1^2 - (t^6.218*y)/g1^26 - (2*t^6.365*y)/g1^16 - (t^6.512*y)/g1^6 + (2*t^7.242*y)/g1^38 + (2*t^7.389*y)/g1^28 + (3*t^7.536*y)/g1^18 + (2*t^7.683*y)/g1^8 + 2*g1^2*t^7.829*y + 2*g1^12*t^7.976*y + g1^22*t^8.123*y - (t^8.266*y)/g1^50 - (t^8.413*y)/g1^40 + (4*t^8.706*y)/g1^20 + (4*t^8.853*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 |
---|---|---|---|---|---|---|---|---|
4246 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6745 | 0.8642 | 0.7805 | [M:[1.1693, 0.7283, 0.8307, 0.8307, 0.7283, 1.1693, 0.677, 0.7795], q:[0.8051, 0.4666], qb:[0.3641, 0.8051], phi:[0.3898]] | t^2.031 + 2*t^2.185 + 2*t^2.339 + t^2.492 + t^3.354 + 2*t^3.508 + t^4.062 + 2*t^4.216 + 5*t^4.37 + 5*t^4.523 + 5*t^4.677 + 3*t^4.831 + t^4.984 + t^5.385 + 4*t^5.539 + 5*t^5.693 + 3*t^5.846 - t^6. - t^4.169/y - t^4.169*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 |
---|---|---|---|---|---|---|---|---|---|
1201 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{3}M_{6}$ | 0.6362 | 0.7913 | 0.804 | [M:[1.1727, 0.7364, 0.8273, 0.8273, 0.7364, 1.1727], q:[0.8045, 0.4591], qb:[0.3682, 0.8045], phi:[0.3909]] | 2*t^2.209 + t^2.345 + t^2.482 + t^3.382 + 2*t^3.518 + t^3.655 + t^3.927 + 3*t^4.418 + 2*t^4.555 + 3*t^4.691 + 2*t^4.827 + t^4.964 + 2*t^5.591 + 4*t^5.727 + 3*t^5.864 - t^4.173/y - t^4.173*y | detail |