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 |
---|---|---|---|---|---|---|---|---|---|
56797 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{1}M_{7}$ | 0.6852 | 0.8626 | 0.7944 | [M:[1.1802, 1.0183, 0.8198, 0.8198, 0.7206, 1.0809, 0.8198], q:[0.4099, 0.4099], qb:[0.5718, 0.7702], phi:[0.4595]] | [M:[[2], [-22], [-2], [-2], [8], [12], [-2]], q:[[-1], [-1]], qb:[[23], [3]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{7}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | ${}M_{5}\phi_{1}q_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$ | -2 | t^2.162 + 3*t^2.46 + t^2.945 + t^3.055 + t^3.243 + 2*t^3.838 + t^4.026 + 3*t^4.324 + 3*t^4.621 + t^4.809 + 6*t^4.919 + t^5.107 + t^5.217 + 4*t^5.405 + t^5.514 + 3*t^5.702 + t^5.89 - 2*t^6. + t^6.11 + 2*t^6.188 + 5*t^6.298 + 4*t^6.486 - t^6.595 + 8*t^6.783 + 2*t^6.971 + 4*t^7.081 + 6*t^7.269 + 7*t^7.379 + 4*t^7.567 + 3*t^7.676 + t^7.754 + 6*t^7.864 + 2*t^8.052 + 4*t^8.162 + t^8.272 + 5*t^8.35 - 9*t^8.46 + 2*t^8.569 + 8*t^8.647 + 6*t^8.757 + 2*t^8.835 + 4*t^8.945 - t^4.379/y - t^6.54/y - (2*t^6.838)/y + t^7.324/y - t^7.433/y + (3*t^7.621)/y + (5*t^7.919)/y + t^8.107/y + (2*t^8.217)/y + (4*t^8.405)/y + (3*t^8.514)/y + (2*t^8.702)/y - t^4.379*y - t^6.54*y - 2*t^6.838*y + t^7.324*y - t^7.433*y + 3*t^7.621*y + 5*t^7.919*y + t^8.107*y + 2*t^8.217*y + 4*t^8.405*y + 3*t^8.514*y + 2*t^8.702*y | g1^8*t^2.162 + (3*t^2.46)/g1^2 + g1^22*t^2.945 + t^3.055/g1^22 + g1^12*t^3.243 + (2*t^3.838)/g1^8 + g1^26*t^4.026 + 3*g1^16*t^4.324 + 3*g1^6*t^4.621 + g1^40*t^4.809 + (6*t^4.919)/g1^4 + g1^30*t^5.107 + t^5.217/g1^14 + 4*g1^20*t^5.405 + t^5.514/g1^24 + 3*g1^10*t^5.702 + g1^44*t^5.89 - 2*t^6. + t^6.11/g1^44 + 2*g1^34*t^6.188 + (5*t^6.298)/g1^10 + 4*g1^24*t^6.486 - t^6.595/g1^20 + 8*g1^14*t^6.783 + 2*g1^48*t^6.971 + 4*g1^4*t^7.081 + 6*g1^38*t^7.269 + (7*t^7.379)/g1^6 + 4*g1^28*t^7.567 + (3*t^7.676)/g1^16 + g1^62*t^7.754 + 6*g1^18*t^7.864 + 2*g1^52*t^8.052 + 4*g1^8*t^8.162 + t^8.272/g1^36 + 5*g1^42*t^8.35 - (9*t^8.46)/g1^2 + (2*t^8.569)/g1^46 + 8*g1^32*t^8.647 + (6*t^8.757)/g1^12 + 2*g1^66*t^8.835 + 4*g1^22*t^8.945 - t^4.379/(g1^6*y) - (g1^2*t^6.54)/y - (2*t^6.838)/(g1^8*y) + (g1^16*t^7.324)/y - t^7.433/(g1^28*y) + (3*g1^6*t^7.621)/y + (5*t^7.919)/(g1^4*y) + (g1^30*t^8.107)/y + (2*t^8.217)/(g1^14*y) + (4*g1^20*t^8.405)/y + (3*t^8.514)/(g1^24*y) + (2*g1^10*t^8.702)/y - (t^4.379*y)/g1^6 - g1^2*t^6.54*y - (2*t^6.838*y)/g1^8 + g1^16*t^7.324*y - (t^7.433*y)/g1^28 + 3*g1^6*t^7.621*y + (5*t^7.919*y)/g1^4 + g1^30*t^8.107*y + (2*t^8.217*y)/g1^14 + 4*g1^20*t^8.405*y + (3*t^8.514*y)/g1^24 + 2*g1^10*t^8.702*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 |
---|---|---|---|---|---|---|---|---|
58712 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\phi_{1}q_{1}^{2}$ | 0.7053 | 0.9006 | 0.7831 | [M:[1.1797, 1.0237, 0.8203, 0.8203, 0.7187, 1.078, 0.8203, 0.7187], q:[0.4102, 0.4102], qb:[0.5661, 0.7695], phi:[0.461]] | 2*t^2.156 + 3*t^2.461 + t^2.929 + t^3.071 + t^3.234 + t^3.844 + t^4.007 + 5*t^4.312 + 6*t^4.617 + t^4.78 + 6*t^4.922 + 2*t^5.085 + 2*t^5.227 + 5*t^5.39 + t^5.532 + 3*t^5.695 + t^5.858 - 2*t^6. - t^4.383/y - t^4.383*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 |
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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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
55133 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.67 | 0.8364 | 0.8011 | [M:[1.1799, 1.0216, 0.8201, 0.8201, 0.7194, 1.0791], q:[0.4101, 0.4101], qb:[0.5683, 0.7698], phi:[0.4604]] | t^2.158 + 2*t^2.46 + t^2.935 + t^3.065 + t^3.237 + t^3.54 + 2*t^3.842 + t^4.014 + 3*t^4.316 + 2*t^4.619 + t^4.791 + 3*t^4.921 + t^5.093 + t^5.223 + 3*t^5.396 + 3*t^5.698 + t^5.87 - t^4.381/y - t^4.381*y | detail |