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 |
---|---|---|---|---|---|---|---|---|---|
376 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 0.5532 | 0.705 | 0.7847 | [M:[1.0, 0.7143], q:[0.7857, 0.2143], qb:[0.7857, 0.5], phi:[0.4286]] | [M:[[0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 759/1372, c: 3869/5488, M1: 1, M2: 5/7, q1: 11/14, q2: 3/14, qb1: 11/14, qb2: 1/2, phi1: 3/7} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}^{4}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}^{3}\tilde{q}_{2}$ | 3 | 2*t^2.143 + 2*t^2.571 + 2*t^3. + t^3.429 + t^3.857 + 4*t^4.286 + 5*t^4.714 + 6*t^5.143 + 4*t^5.571 + 3*t^6. + 5*t^6.429 + 7*t^6.857 + 10*t^7.286 + 8*t^7.714 + 4*t^8.143 + 5*t^8.571 - t^4.286/y - t^6.429/y - t^6.857/y + t^7.286/y + (5*t^7.714)/y + (6*t^8.143)/y + (5*t^8.571)/y - t^4.286*y - t^6.429*y - t^6.857*y + t^7.286*y + 5*t^7.714*y + 6*t^8.143*y + 5*t^8.571*y | 2*t^2.143 + 2*t^2.571 + 2*t^3. + t^3.429 + t^3.857 + 4*t^4.286 + 5*t^4.714 + 6*t^5.143 + 4*t^5.571 + 3*t^6. + 5*t^6.429 + 7*t^6.857 + 10*t^7.286 + 8*t^7.714 + 4*t^8.143 + 5*t^8.571 - t^4.286/y - t^6.429/y - t^6.857/y + t^7.286/y + (5*t^7.714)/y + (6*t^8.143)/y + (5*t^8.571)/y - t^4.286*y - t^6.429*y - t^6.857*y + t^7.286*y + 5*t^7.714*y + 6*t^8.143*y + 5*t^8.571*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 |
---|---|---|---|---|---|---|---|---|
615 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.5658 | 0.7265 | 0.7788 | [M:[1.0, 0.7143, 0.8571], q:[0.7857, 0.2143], qb:[0.7857, 0.5], phi:[0.4286]] | 2*t^2.143 + 3*t^2.571 + 2*t^3. + t^3.857 + 4*t^4.286 + 7*t^4.714 + 9*t^5.143 + 4*t^5.571 + t^6. - t^4.286/y - t^4.286*y | detail | {a: 3105/5488, c: 3987/5488, M1: 1, M2: 5/7, M3: 6/7, q1: 11/14, q2: 3/14, qb1: 11/14, qb2: 1/2, phi1: 3/7} |
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 |
---|---|---|---|---|---|---|---|---|---|
214 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | 0.5536 | 0.7057 | 0.7845 | [M:[1.0, 0.7344], q:[0.7832, 0.2168], qb:[0.7832, 0.4824], phi:[0.4336]] | t^2.098 + t^2.203 + 2*t^2.602 + 2*t^3. + t^3.398 + t^3.797 + 2*t^4.195 + t^4.301 + t^4.406 + 3*t^4.699 + 2*t^4.805 + 2*t^5.098 + 4*t^5.203 + t^5.496 + 3*t^5.602 + t^5.895 + 2*t^6. - t^4.301/y - t^4.301*y | detail |