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 |
---|---|---|---|---|---|---|---|---|---|
1584 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6815 | 0.8895 | 0.7661 | [M:[1.2196, 1.1098, 0.7804, 0.8902, 0.7804, 0.7196, 0.6706], q:[0.75, 0.4206], qb:[0.3598, 0.4696], phi:[0.5]] | [M:[[2], [1], [-2], [-1], [-2], [2], [-3]], q:[[0], [-3]], qb:[[1], [2]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{5}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{4}M_{6}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{7}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}q_{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}q_{1}q_{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{3}q_{1}q_{2}$, ${ }M_{5}q_{1}q_{2}$ | ${}M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$ | 1 | t^2.012 + t^2.159 + 2*t^2.341 + t^2.488 + t^2.671 + t^3. + t^3.329 + t^3.512 + t^3.659 + 2*t^4.024 + 2*t^4.171 + 2*t^4.317 + 2*t^4.353 + 3*t^4.5 + t^4.647 + 4*t^4.683 + 3*t^4.829 + t^4.976 + 3*t^5.012 + 2*t^5.159 + 4*t^5.341 + 2*t^5.488 + t^5.524 + 4*t^5.671 + t^5.817 + t^5.853 + t^6. + 2*t^6.036 + 3*t^6.183 + 2*t^6.329 + 4*t^6.365 + 2*t^6.476 + 5*t^6.512 + 5*t^6.659 + 5*t^6.694 + 2*t^6.806 + 6*t^6.841 + 4*t^6.988 + 8*t^7.024 + t^7.135 + 5*t^7.171 + 3*t^7.317 + 6*t^7.353 + t^7.464 + 4*t^7.5 + 2*t^7.536 + 2*t^7.647 + 8*t^7.683 + 5*t^7.829 + t^7.865 + 2*t^7.976 + 4*t^8.012 + 3*t^8.048 - t^8.159 + 5*t^8.194 + 4*t^8.341 + 4*t^8.377 + t^8.488 + 6*t^8.524 + 3*t^8.635 + 2*t^8.671 + 8*t^8.706 + 3*t^8.817 + 9*t^8.853 + 2*t^8.964 - t^4.5/y - t^6.512/y - t^6.659/y - t^6.841/y + t^7.171/y + (2*t^7.353)/y + (3*t^7.5)/y + t^7.647/y + (2*t^7.683)/y + (3*t^7.829)/y + (3*t^8.012)/y + (3*t^8.159)/y + (4*t^8.341)/y + (3*t^8.488)/y + (4*t^8.671)/y + t^8.817/y + t^8.853/y - t^4.5*y - t^6.512*y - t^6.659*y - t^6.841*y + t^7.171*y + 2*t^7.353*y + 3*t^7.5*y + t^7.647*y + 2*t^7.683*y + 3*t^7.829*y + 3*t^8.012*y + 3*t^8.159*y + 4*t^8.341*y + 3*t^8.488*y + 4*t^8.671*y + t^8.817*y + t^8.853*y | t^2.012/g1^3 + g1^2*t^2.159 + (2*t^2.341)/g1^2 + g1^3*t^2.488 + t^2.671/g1 + t^3. + g1*t^3.329 + t^3.512/g1^3 + g1^2*t^3.659 + (2*t^4.024)/g1^6 + (2*t^4.171)/g1 + 2*g1^4*t^4.317 + (2*t^4.353)/g1^5 + 3*t^4.5 + g1^5*t^4.647 + (4*t^4.683)/g1^4 + 3*g1*t^4.829 + g1^6*t^4.976 + (3*t^5.012)/g1^3 + 2*g1^2*t^5.159 + (4*t^5.341)/g1^2 + 2*g1^3*t^5.488 + t^5.524/g1^6 + (4*t^5.671)/g1 + g1^4*t^5.817 + t^5.853/g1^5 + t^6. + (2*t^6.036)/g1^9 + (3*t^6.183)/g1^4 + 2*g1*t^6.329 + (4*t^6.365)/g1^8 + 2*g1^6*t^6.476 + (5*t^6.512)/g1^3 + 5*g1^2*t^6.659 + (5*t^6.694)/g1^7 + 2*g1^7*t^6.806 + (6*t^6.841)/g1^2 + 4*g1^3*t^6.988 + (8*t^7.024)/g1^6 + g1^8*t^7.135 + (5*t^7.171)/g1 + 3*g1^4*t^7.317 + (6*t^7.353)/g1^5 + g1^9*t^7.464 + 4*t^7.5 + (2*t^7.536)/g1^9 + 2*g1^5*t^7.647 + (8*t^7.683)/g1^4 + 5*g1*t^7.829 + t^7.865/g1^8 + 2*g1^6*t^7.976 + (4*t^8.012)/g1^3 + (3*t^8.048)/g1^12 - g1^2*t^8.159 + (5*t^8.194)/g1^7 + (4*t^8.341)/g1^2 + (4*t^8.377)/g1^11 + g1^3*t^8.488 + (6*t^8.524)/g1^6 + 3*g1^8*t^8.635 + (2*t^8.671)/g1 + (8*t^8.706)/g1^10 + 3*g1^4*t^8.817 + (9*t^8.853)/g1^5 + 2*g1^9*t^8.964 - t^4.5/y - t^6.512/(g1^3*y) - (g1^2*t^6.659)/y - t^6.841/(g1^2*y) + t^7.171/(g1*y) + (2*t^7.353)/(g1^5*y) + (3*t^7.5)/y + (g1^5*t^7.647)/y + (2*t^7.683)/(g1^4*y) + (3*g1*t^7.829)/y + (3*t^8.012)/(g1^3*y) + (3*g1^2*t^8.159)/y + (4*t^8.341)/(g1^2*y) + (3*g1^3*t^8.488)/y + (4*t^8.671)/(g1*y) + (g1^4*t^8.817)/y + t^8.853/(g1^5*y) - t^4.5*y - (t^6.512*y)/g1^3 - g1^2*t^6.659*y - (t^6.841*y)/g1^2 + (t^7.171*y)/g1 + (2*t^7.353*y)/g1^5 + 3*t^7.5*y + g1^5*t^7.647*y + (2*t^7.683*y)/g1^4 + 3*g1*t^7.829*y + (3*t^8.012*y)/g1^3 + 3*g1^2*t^8.159*y + (4*t^8.341*y)/g1^2 + 3*g1^3*t^8.488*y + (4*t^8.671*y)/g1 + g1^4*t^8.817*y + (t^8.853*y)/g1^5 |
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
1014 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6606 | 0.8481 | 0.7789 | [M:[1.2191, 1.1096, 0.7809, 0.8904, 0.7809, 0.7191], q:[0.75, 0.4213], qb:[0.3596, 0.4691], phi:[0.5]] | t^2.157 + 2*t^2.343 + t^2.486 + t^2.671 + t^3. + t^3.329 + t^3.514 + t^3.657 + t^3.986 + t^4.028 + t^4.171 + 2*t^4.315 + 2*t^4.5 + t^4.643 + 3*t^4.685 + 3*t^4.829 + t^4.972 + 2*t^5.014 + 2*t^5.157 + 3*t^5.343 + 2*t^5.486 + 3*t^5.671 + t^5.815 + t^5.857 + t^6. - t^4.5/y - t^4.5*y | detail |