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 |
---|---|---|---|---|---|---|---|---|---|
752 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ | 0.6484 | 0.7959 | 0.8147 | [M:[0.7035, 1.2965, 0.7108, 0.6962, 0.6962, 1.2965], q:[0.8205, 0.8278], qb:[0.476, 0.4687], phi:[0.3518]] | [M:[[-2, -2], [2, 2], [1, -5], [-5, 1], [-5, 1], [2, 2]], q:[[-1, 2], [2, -1]], qb:[[3, 0], [0, 3]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{5}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{3}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{3}q_{1}\tilde{q}_{2}$ | -4 | 2*t^2.089 + t^2.132 + t^2.834 + t^3.868 + 4*t^3.889 + 3*t^4.177 + 2*t^4.221 + t^4.265 + 2*t^4.923 + t^4.945 + t^4.967 + t^5.668 + 2*t^5.956 + 6*t^5.978 - 4*t^6. + 2*t^6.022 + 4*t^6.266 + 3*t^6.31 + 2*t^6.353 + t^6.397 + t^6.702 + 4*t^6.724 + 3*t^7.012 - 2*t^7.055 - t^7.077 + t^7.099 + t^7.735 + 4*t^7.757 + 6*t^7.779 - t^7.801 + 3*t^8.045 + 8*t^8.067 - 8*t^8.089 + 3*t^8.111 - 4*t^8.132 + 2*t^8.154 + 5*t^8.355 + 4*t^8.399 + 3*t^8.442 + 2*t^8.486 + t^8.503 + t^8.529 + 2*t^8.791 + 5*t^8.812 - 4*t^8.834 - t^4.055/y - (2*t^6.144)/y - t^6.188/y + t^7.177/y + (2*t^7.221)/y + (3*t^7.923)/y + (3*t^7.967)/y - (3*t^8.233)/y - (2*t^8.276)/y - t^8.32/y + (2*t^8.956)/y + (8*t^8.978)/y - t^4.055*y - 2*t^6.144*y - t^6.188*y + t^7.177*y + 2*t^7.221*y + 3*t^7.923*y + 3*t^7.967*y - 3*t^8.233*y - 2*t^8.276*y - t^8.32*y + 2*t^8.956*y + 8*t^8.978*y | (2*g2*t^2.089)/g1^5 + (g1*t^2.132)/g2^5 + g1^3*g2^3*t^2.834 + (g2^5*t^3.868)/g1 + 4*g1^2*g2^2*t^3.889 + (3*g2^2*t^4.177)/g1^10 + (2*t^4.221)/(g1^4*g2^4) + (g1^2*t^4.265)/g2^10 + (2*g2^4*t^4.923)/g1^2 + g1*g2*t^4.945 + (g1^4*t^4.967)/g2^2 + g1^6*g2^6*t^5.668 + (2*g2^6*t^5.956)/g1^6 + (6*g2^3*t^5.978)/g1^3 - 4*t^6. + (2*g1^3*t^6.022)/g2^3 + (4*g2^3*t^6.266)/g1^15 + (3*t^6.31)/(g1^9*g2^3) + (2*t^6.353)/(g1^3*g2^9) + (g1^3*t^6.397)/g2^15 + g1^2*g2^8*t^6.702 + 4*g1^5*g2^5*t^6.724 + (3*g2^5*t^7.012)/g1^7 - (2*t^7.055)/(g1*g2) - (g1^2*t^7.077)/g2^4 + (g1^5*t^7.099)/g2^7 + (g2^10*t^7.735)/g1^2 + 4*g1*g2^7*t^7.757 + 6*g1^4*g2^4*t^7.779 - g1^7*g2*t^7.801 + (3*g2^7*t^8.045)/g1^11 + (8*g2^4*t^8.067)/g1^8 - (8*g2*t^8.089)/g1^5 + (3*t^8.111)/(g1^2*g2^2) - (4*g1*t^8.132)/g2^5 + (2*g1^4*t^8.154)/g2^8 + (5*g2^4*t^8.355)/g1^20 + (4*t^8.399)/(g1^14*g2^2) + (3*t^8.442)/(g1^8*g2^8) + (2*t^8.486)/(g1^2*g2^14) + g1^9*g2^9*t^8.503 + (g1^4*t^8.529)/g2^20 + (2*g2^9*t^8.791)/g1^3 + 5*g2^6*t^8.812 - 4*g1^3*g2^3*t^8.834 - t^4.055/(g1*g2*y) - (2*t^6.144)/(g1^6*y) - t^6.188/(g2^6*y) + (g2^2*t^7.177)/(g1^10*y) + (2*t^7.221)/(g1^4*g2^4*y) + (3*g2^4*t^7.923)/(g1^2*y) + (3*g1^4*t^7.967)/(g2^2*y) - (3*g2*t^8.233)/(g1^11*y) - (2*t^8.276)/(g1^5*g2^5*y) - (g1*t^8.32)/(g2^11*y) + (2*g2^6*t^8.956)/(g1^6*y) + (8*g2^3*t^8.978)/(g1^3*y) - (t^4.055*y)/(g1*g2) - (2*t^6.144*y)/g1^6 - (t^6.188*y)/g2^6 + (g2^2*t^7.177*y)/g1^10 + (2*t^7.221*y)/(g1^4*g2^4) + (3*g2^4*t^7.923*y)/g1^2 + (3*g1^4*t^7.967*y)/g2^2 - (3*g2*t^8.233*y)/g1^11 - (2*t^8.276*y)/(g1^5*g2^5) - (g1*t^8.32*y)/g2^11 + (2*g2^6*t^8.956*y)/g1^6 + (8*g2^3*t^8.978*y)/g1^3 |
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 |
---|---|---|---|---|---|---|---|---|
1237 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{6}$ + ${ }M_{3}M_{7}$ | 0.6284 | 0.7608 | 0.826 | [M:[0.7147, 1.2853, 0.7375, 0.692, 0.692, 1.2853, 1.2625], q:[0.81, 0.8327], qb:[0.4753, 0.4526], phi:[0.3574]] | 2*t^2.076 + t^2.784 + 2*t^3.788 + 4*t^3.856 + 3*t^4.152 + 2*t^4.86 + t^4.928 + t^5.567 + 4*t^5.864 + 6*t^5.932 - 5*t^6. - t^4.072/y - t^4.072*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 |
---|---|---|---|---|---|---|---|---|---|
457 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6689 | 0.835 | 0.8011 | [M:[0.699, 1.301, 0.7054, 0.6926, 0.6926], q:[0.8221, 0.8284], qb:[0.479, 0.4726], phi:[0.3495]] | 2*t^2.078 + t^2.097 + t^2.116 + t^2.855 + t^3.884 + 3*t^3.903 + 3*t^4.156 + 2*t^4.175 + 3*t^4.194 + t^4.213 + t^4.232 + 2*t^4.932 + 2*t^4.952 + t^4.971 + t^5.709 + 2*t^5.962 + 5*t^5.981 - t^6. - t^4.048/y - t^4.048*y | detail |