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 |
---|---|---|---|---|---|---|---|---|---|
4632 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{2}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6989 | 0.8608 | 0.812 | [M:[0.9162, 1.0599, 0.9401, 1.0359, 0.9641, 1.012, 0.9401, 1.012], q:[0.5539, 0.5299], qb:[0.506, 0.4341], phi:[0.494]] | [M:[[14], [-10], [10], [-6], [6], [-2], [10], [-2]], q:[[-9], [-5]], qb:[[-1], [11]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{3}$, ${ }M_{7}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{8}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{8}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{3}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{4}M_{7}$, ${ }M_{5}M_{8}$ | ${}$ | -3 | t^2.748 + 2*t^2.82 + t^2.892 + 2*t^3.036 + t^3.108 + t^4.087 + t^4.302 + t^4.374 + t^4.446 + t^4.518 + t^4.59 + 2*t^4.662 + t^4.734 + t^4.805 + t^5.497 + 2*t^5.569 + 3*t^5.641 + t^5.713 + 2*t^5.784 + 4*t^5.856 + 2*t^5.928 - 3*t^6. + t^6.144 - t^6.287 - t^6.359 + t^6.835 + 2*t^6.907 + t^6.979 + t^7.051 + 3*t^7.123 + 3*t^7.195 + 2*t^7.266 + 3*t^7.338 + 4*t^7.41 + 3*t^7.482 + 2*t^7.554 + 2*t^7.626 + 2*t^7.698 + t^7.769 + t^8.174 + t^8.245 + 2*t^8.317 + 4*t^8.389 + 4*t^8.461 + 3*t^8.533 + 4*t^8.605 + 6*t^8.677 - 4*t^8.82 + t^8.964 - t^4.482/y - t^7.231/y - t^7.302/y + t^7.446/y - t^7.518/y + t^7.662/y + t^7.734/y + (2*t^8.569)/y + (2*t^8.641)/y + (2*t^8.713)/y + (2*t^8.784)/y + (5*t^8.856)/y + (4*t^8.928)/y - t^4.482*y - t^7.231*y - t^7.302*y + t^7.446*y - t^7.518*y + t^7.662*y + t^7.734*y + 2*t^8.569*y + 2*t^8.641*y + 2*t^8.713*y + 2*t^8.784*y + 5*t^8.856*y + 4*t^8.928*y | g1^14*t^2.748 + 2*g1^10*t^2.82 + g1^6*t^2.892 + (2*t^3.036)/g1^2 + t^3.108/g1^6 + g1^23*t^4.087 + g1^11*t^4.302 + g1^7*t^4.374 + g1^3*t^4.446 + t^4.518/g1 + t^4.59/g1^5 + (2*t^4.662)/g1^9 + t^4.734/g1^13 + t^4.805/g1^17 + g1^28*t^5.497 + 2*g1^24*t^5.569 + 3*g1^20*t^5.641 + g1^16*t^5.713 + 2*g1^12*t^5.784 + 4*g1^8*t^5.856 + 2*g1^4*t^5.928 - 3*t^6. + t^6.144/g1^8 - t^6.287/g1^16 - t^6.359/g1^20 + g1^37*t^6.835 + 2*g1^33*t^6.907 + g1^29*t^6.979 + g1^25*t^7.051 + 3*g1^21*t^7.123 + 3*g1^17*t^7.195 + 2*g1^13*t^7.266 + 3*g1^9*t^7.338 + 4*g1^5*t^7.41 + 3*g1*t^7.482 + (2*t^7.554)/g1^3 + (2*t^7.626)/g1^7 + (2*t^7.698)/g1^11 + t^7.769/g1^15 + g1^46*t^8.174 + g1^42*t^8.245 + 2*g1^38*t^8.317 + 4*g1^34*t^8.389 + 4*g1^30*t^8.461 + 3*g1^26*t^8.533 + 4*g1^22*t^8.605 + 6*g1^18*t^8.677 - 4*g1^10*t^8.82 + g1^2*t^8.964 - (g1*t^4.482)/y - (g1^15*t^7.231)/y - (g1^11*t^7.302)/y + (g1^3*t^7.446)/y - t^7.518/(g1*y) + t^7.662/(g1^9*y) + t^7.734/(g1^13*y) + (2*g1^24*t^8.569)/y + (2*g1^20*t^8.641)/y + (2*g1^16*t^8.713)/y + (2*g1^12*t^8.784)/y + (5*g1^8*t^8.856)/y + (4*g1^4*t^8.928)/y - g1*t^4.482*y - g1^15*t^7.231*y - g1^11*t^7.302*y + g1^3*t^7.446*y - (t^7.518*y)/g1 + (t^7.662*y)/g1^9 + (t^7.734*y)/g1^13 + 2*g1^24*t^8.569*y + 2*g1^20*t^8.641*y + 2*g1^16*t^8.713*y + 2*g1^12*t^8.784*y + 5*g1^8*t^8.856*y + 4*g1^4*t^8.928*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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
2547 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}M_{3}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{2}M_{7}$ | 0.7001 | 0.8631 | 0.8111 | [M:[0.9102, 1.0642, 0.9358, 1.0385, 0.9615, 1.0128, 0.9358], q:[0.5578, 0.5321], qb:[0.5064, 0.4294], phi:[0.4936]] | t^2.73 + 2*t^2.807 + t^2.884 + t^2.961 + t^3.039 + t^3.116 + t^4.057 + t^4.288 + t^4.365 + t^4.442 + t^4.519 + t^4.596 + 2*t^4.673 + t^4.75 + t^4.827 + t^5.461 + 2*t^5.538 + 3*t^5.615 + 2*t^5.692 + 3*t^5.769 + 3*t^5.846 + 2*t^5.923 - 2*t^6. - t^4.481/y - t^4.481*y | detail |