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 |
---|---|---|---|---|---|---|---|---|---|
1502 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ | 0.6945 | 0.8503 | 0.8167 | [M:[0.9745, 1.0, 1.0128, 0.9617, 1.0383, 0.9872], q:[0.5255, 0.5], qb:[0.4617, 0.5383], phi:[0.4936]] | [M:[[-4], [0], [2], [-6], [6], [-2]], q:[[4], [0]], qb:[[-6], [6]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{1}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{6}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{6}$, ${ }M_{2}\phi_{1}^{2}$ | ${}$ | -2 | t^2.885 + t^2.923 + 2*t^2.962 + t^3. + t^3.115 + t^3.191 + t^4.251 + t^4.366 + t^4.443 + 2*t^4.481 + t^4.557 + t^4.596 + t^4.634 + t^4.672 + t^4.71 + 3*t^5.847 + t^5.885 + 3*t^5.923 + t^5.962 - 2*t^6. + t^6.077 + 2*t^6.153 + t^6.306 + t^6.383 + t^7.137 + t^7.175 + 2*t^7.213 + t^7.251 - t^7.29 + 2*t^7.328 + 2*t^7.366 + 2*t^7.404 + 4*t^7.443 + 3*t^7.557 + 3*t^7.596 + 3*t^7.634 + 2*t^7.672 + t^7.787 + 2*t^7.825 + t^7.863 + t^7.902 + t^8.503 + t^8.617 + 2*t^8.732 + 4*t^8.809 + 4*t^8.847 + t^8.885 - 3*t^8.962 - t^4.481/y - t^7.404/y - t^7.443/y + t^7.519/y + t^7.557/y + t^8.809/y + (2*t^8.847)/y + (3*t^8.885)/y + (2*t^8.923)/y + (2*t^8.962)/y - t^4.481*y - t^7.404*y - t^7.443*y + t^7.519*y + t^7.557*y + t^8.809*y + 2*t^8.847*y + 3*t^8.885*y + 2*t^8.923*y + 2*t^8.962*y | t^2.885/g1^6 + t^2.923/g1^4 + (2*t^2.962)/g1^2 + t^3. + g1^6*t^3.115 + g1^10*t^3.191 + t^4.251/g1^13 + t^4.366/g1^7 + t^4.443/g1^3 + (2*t^4.481)/g1 + g1^3*t^4.557 + g1^5*t^4.596 + g1^7*t^4.634 + g1^9*t^4.672 + g1^11*t^4.71 + (3*t^5.847)/g1^8 + t^5.885/g1^6 + (3*t^5.923)/g1^4 + t^5.962/g1^2 - 2*t^6. + g1^4*t^6.077 + 2*g1^8*t^6.153 + g1^16*t^6.306 + g1^20*t^6.383 + t^7.137/g1^19 + t^7.175/g1^17 + (2*t^7.213)/g1^15 + t^7.251/g1^13 - t^7.29/g1^11 + (2*t^7.328)/g1^9 + (2*t^7.366)/g1^7 + (2*t^7.404)/g1^5 + (4*t^7.443)/g1^3 + 3*g1^3*t^7.557 + 3*g1^5*t^7.596 + 3*g1^7*t^7.634 + 2*g1^9*t^7.672 + g1^15*t^7.787 + 2*g1^17*t^7.825 + g1^19*t^7.863 + g1^21*t^7.902 + t^8.503/g1^26 + t^8.617/g1^20 + (2*t^8.732)/g1^14 + (4*t^8.809)/g1^10 + (4*t^8.847)/g1^8 + t^8.885/g1^6 - (3*t^8.962)/g1^2 - t^4.481/(g1*y) - t^7.404/(g1^5*y) - t^7.443/(g1^3*y) + (g1*t^7.519)/y + (g1^3*t^7.557)/y + t^8.809/(g1^10*y) + (2*t^8.847)/(g1^8*y) + (3*t^8.885)/(g1^6*y) + (2*t^8.923)/(g1^4*y) + (2*t^8.962)/(g1^2*y) - (t^4.481*y)/g1 - (t^7.404*y)/g1^5 - (t^7.443*y)/g1^3 + g1*t^7.519*y + g1^3*t^7.557*y + (t^8.809*y)/g1^10 + (2*t^8.847*y)/g1^8 + (3*t^8.885*y)/g1^6 + (2*t^8.923*y)/g1^4 + (2*t^8.962*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
2603 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}M_{7}$ | 0.699 | 0.8584 | 0.8143 | [M:[0.96, 1.0, 1.02, 0.94, 1.06, 0.98, 0.94], q:[0.54, 0.5], qb:[0.44, 0.56], phi:[0.49]] | 2*t^2.82 + t^2.88 + 2*t^2.94 + t^3. + t^3.3 + t^4.11 + t^4.29 + t^4.41 + 2*t^4.47 + t^4.59 + t^4.65 + t^4.71 + t^4.77 + t^4.83 + 2*t^5.64 + t^5.7 + 5*t^5.76 + 2*t^5.82 + 3*t^5.88 + t^5.94 - 3*t^6. - t^4.47/y - t^4.47*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 |
---|---|---|---|---|---|---|---|---|---|
967 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.6934 | 0.8487 | 0.817 | [M:[0.9795, 1.0, 1.0103, 0.9692, 1.0308], q:[0.5205, 0.5], qb:[0.4692, 0.5308], phi:[0.4949]] | t^2.908 + t^2.938 + t^2.969 + t^3. + t^3.031 + t^3.092 + t^3.154 + t^4.3 + t^4.392 + t^4.454 + 2*t^4.485 + t^4.546 + t^4.577 + t^4.608 + t^4.639 + t^4.669 + 2*t^5.877 + 2*t^5.938 + t^5.969 - t^6. - t^4.485/y - t^4.485*y | detail |