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 |
---|---|---|---|---|---|---|---|---|---|
46109 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ | 0.5338 | 0.6682 | 0.7988 | [M:[0.8489, 1.1511, 0.9711], q:[1.0289, 0.5466], qb:[0.3022, 0.4244], phi:[0.4244]] | [M:[[2], [-2], [7]], q:[[-7], [6]], qb:[[-4], [1]], phi:[[1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}M_{1}M_{2}$ | -1 | t^2.18 + 2*t^2.547 + 2*t^2.913 + t^3.453 + t^3.82 + t^3.994 + 2*t^4.36 + 3*t^4.727 + 4*t^5.093 + 3*t^5.46 + 3*t^5.826 - t^6. + t^6.174 + t^6.367 + 2*t^6.54 + t^6.733 + 3*t^6.907 + 5*t^7.273 + 6*t^7.64 - t^7.813 + t^7.987 + 5*t^8.006 - 4*t^8.18 + 2*t^8.354 + 4*t^8.373 - 4*t^8.547 + 3*t^8.72 + 4*t^8.74 - 5*t^8.913 - t^4.273/y - t^6.82/y - t^7.187/y + t^7.36/y + (3*t^7.727)/y + (3*t^8.093)/y + (4*t^8.46)/y + t^8.633/y + t^8.826/y - t^4.273*y - t^6.82*y - t^7.187*y + t^7.36*y + 3*t^7.727*y + 3*t^8.093*y + 4*t^8.46*y + t^8.633*y + t^8.826*y | t^2.18/g1^3 + 2*g1^2*t^2.547 + 2*g1^7*t^2.913 + t^3.453/g1^2 + g1^3*t^3.82 + t^3.994/g1^11 + (2*t^4.36)/g1^6 + (3*t^4.727)/g1 + 4*g1^4*t^5.093 + 3*g1^9*t^5.46 + 3*g1^14*t^5.826 - t^6. + t^6.174/g1^14 + g1^5*t^6.367 + (2*t^6.54)/g1^9 + g1^10*t^6.733 + (3*t^6.907)/g1^4 + 5*g1*t^7.273 + 6*g1^6*t^7.64 - t^7.813/g1^8 + t^7.987/g1^22 + 5*g1^11*t^8.006 - (4*t^8.18)/g1^3 + (2*t^8.354)/g1^17 + 4*g1^16*t^8.373 - 4*g1^2*t^8.547 + (3*t^8.72)/g1^12 + 4*g1^21*t^8.74 - 5*g1^7*t^8.913 - (g1*t^4.273)/y - (g1^3*t^6.82)/y - (g1^8*t^7.187)/y + t^7.36/(g1^6*y) + (3*t^7.727)/(g1*y) + (3*g1^4*t^8.093)/y + (4*g1^9*t^8.46)/y + t^8.633/(g1^5*y) + (g1^14*t^8.826)/y - g1*t^4.273*y - g1^3*t^6.82*y - g1^8*t^7.187*y + (t^7.36*y)/g1^6 + (3*t^7.727*y)/g1 + 3*g1^4*t^8.093*y + 4*g1^9*t^8.46*y + (t^8.633*y)/g1^5 + g1^14*t^8.826*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 |
---|---|---|---|---|---|---|---|---|
46363 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ | 0.5207 | 0.6457 | 0.8064 | [M:[0.852, 1.148, 0.9821, 1.148], q:[1.0179, 0.5561], qb:[0.2959, 0.426], phi:[0.426]] | t^2.166 + t^2.556 + 2*t^2.946 + 2*t^3.444 + t^3.834 + t^3.941 + 2*t^4.332 + 2*t^4.722 + 2*t^5.112 + t^5.502 + t^5.61 + 3*t^5.893 - t^6. - t^4.278/y - t^4.278*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 |
---|---|---|---|---|---|---|---|---|---|
46028 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$ | 0.5333 | 0.6681 | 0.7983 | [M:[0.8626, 1.1374], q:[0.981, 0.5878], qb:[0.2748, 0.4313], phi:[0.4313]] | t^2.118 + 2*t^2.588 + t^2.943 + t^3.057 + t^3.412 + t^3.767 + t^3.882 + 2*t^4.237 + 3*t^4.706 + t^5.061 + 3*t^5.176 + 2*t^5.531 + t^5.645 + 2*t^5.886 - t^4.294/y - t^4.294*y | detail |