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 |
---|---|---|---|---|---|---|---|---|---|
3212 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 0.5981 | 0.7252 | 0.8246 | [X:[1.6], M:[0.4, 1.2, 0.7651], q:[0.8175, 0.7825], qb:[0.4175, 0.3825], phi:[0.4]] | [X:[[0]], M:[[0], [0], [2]], q:[[-1], [1]], qb:[[-1], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$ | ${}M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.295 + t^2.4 + 2*t^3.495 + 4*t^3.6 + t^3.705 + t^4.59 + t^4.695 + 2*t^4.8 + 2*t^5.79 + 4*t^5.895 - t^6.105 + t^6.885 + 4*t^6.99 + 6*t^7.095 + 5*t^7.2 + t^7.41 + 2*t^8.085 + 4*t^8.19 - t^8.4 - 2*t^8.505 - t^4.2/y - t^6.495/y + t^7.695/y + t^7.905/y + t^8.79/y + (6*t^8.895)/y - t^4.2*y - t^6.495*y + t^7.695*y + t^7.905*y + t^8.79*y + 6*t^8.895*y | g1^2*t^2.295 + t^2.4 + 2*g1^2*t^3.495 + 4*t^3.6 + t^3.705/g1^2 + g1^4*t^4.59 + g1^2*t^4.695 + 2*t^4.8 + 2*g1^4*t^5.79 + 4*g1^2*t^5.895 - t^6.105/g1^2 + g1^6*t^6.885 + 4*g1^4*t^6.99 + 6*g1^2*t^7.095 + 5*t^7.2 + t^7.41/g1^4 + 2*g1^6*t^8.085 + 4*g1^4*t^8.19 - t^8.4 - (2*t^8.505)/g1^2 - t^4.2/y - (g1^2*t^6.495)/y + (g1^2*t^7.695)/y + t^7.905/(g1^2*y) + (g1^4*t^8.79)/y + (6*g1^2*t^8.895)/y - t^4.2*y - g1^2*t^6.495*y + g1^2*t^7.695*y + (t^7.905*y)/g1^2 + g1^4*t^8.79*y + 6*g1^2*t^8.895*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 |
---|---|---|---|---|---|---|---|---|
3634 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6169 | 0.7615 | 0.8102 | [X:[1.6], M:[0.4, 1.2, 0.7434, 0.7434], q:[0.8283, 0.7717], qb:[0.4283, 0.3717], phi:[0.4]] | 2*t^2.23 + t^2.4 + 2*t^3.43 + 4*t^3.6 + 3*t^4.46 + 2*t^4.63 + 2*t^4.8 + 4*t^5.66 + 8*t^5.83 - t^6. - t^4.2/y - t^4.2*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 |
---|---|---|---|---|---|---|---|---|---|
2704 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }\phi_{1}q_{1}q_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ | 0.5983 | 0.726 | 0.8241 | [X:[1.6], M:[0.4, 1.2, 0.7567], q:[0.8325, 0.7675], qb:[0.4108, 0.3892], phi:[0.4]] | t^2.27 + t^2.4 + t^3.47 + 2*t^3.535 + 2*t^3.6 + 2*t^3.665 + t^4.54 + t^4.67 + 2*t^4.8 + t^5.74 + 2*t^5.805 + 2*t^5.87 + 2*t^5.935 - t^6. - t^4.2/y - t^4.2*y | detail |