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 |
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58614 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{2}$ | 1.2876 | 1.4282 | 0.9015 | [X:[1.5], M:[0.75], q:[0.6389, 0.4722], qb:[0.8611, 0.5278], phi:[0.25]] | [X:[[0]], M:[[0]], q:[[1], [-2]], qb:[[-1], [2]], phi:[[0]]] | 1 | {a: 2637/2048, c: 2925/2048, X1: 3/2, M1: 3/4, q1: 23/36, q2: 17/36, qb1: 31/36, qb2: 19/36, phi1: 1/4} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$ | ${}$ | -1 | 2*t^2.25 + t^3. + t^3.5 + t^4. + t^4.25 + 6*t^4.5 + t^4.75 + 3*t^5.25 + t^5.5 + t^5.75 - t^6. + 2*t^6.25 + 3*t^6.5 + 7*t^6.75 + 3*t^7. + t^7.25 + 8*t^7.5 + t^7.75 + 4*t^8. + t^8.25 + 4*t^8.5 + 6*t^8.75 + t^8.25/y^2 - t^3.75/y - t^4.5/y - (2*t^6.)/y - (3*t^6.75)/y - t^7.25/y + t^7.5/y - t^7.75/y - t^8./y - (2*t^8.25)/y - t^8.5/y + (2*t^8.75)/y - t^3.75*y - t^4.5*y - 2*t^6.*y - 3*t^6.75*y - t^7.25*y + t^7.5*y - t^7.75*y - t^8.*y - 2*t^8.25*y - t^8.5*y + 2*t^8.75*y + t^8.25*y^2 | 2*t^2.25 + t^3. + g1^3*t^3.5 + t^4./g1^3 + g1^3*t^4.25 + 6*t^4.5 + t^4.75/g1^3 + 3*t^5.25 + t^5.5/g1^3 + g1^3*t^5.75 - t^6. + (2*t^6.25)/g1^3 + t^6.5/g1^6 + 2*g1^3*t^6.5 + 7*t^6.75 + t^7./g1^3 + 2*g1^6*t^7. + g1^3*t^7.25 + 8*t^7.5 + g1^6*t^7.75 + 4*g1^3*t^8. + t^8.25 + (4*t^8.5)/g1^3 + (2*t^8.75)/g1^6 + 4*g1^3*t^8.75 + t^8.25/y^2 - t^3.75/y - t^4.5/y - (2*t^6.)/y - (3*t^6.75)/y - (g1^3*t^7.25)/y + t^7.5/y - t^7.75/(g1^3*y) - (g1^3*t^8.)/y - (2*t^8.25)/y - t^8.5/(g1^3*y) + (2*g1^3*t^8.75)/y - t^3.75*y - t^4.5*y - 2*t^6.*y - 3*t^6.75*y - g1^3*t^7.25*y + t^7.5*y - (t^7.75*y)/g1^3 - g1^3*t^8.*y - 2*t^8.25*y - (t^8.5*y)/g1^3 + 2*g1^3*t^8.75*y + t^8.25*y^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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
57627 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}^{2}\tilde{q}_{2}^{2}$ | 1.2686 | 1.3936 | 0.9103 | [X:[1.5], M:[], q:[0.6389, 0.4722], qb:[0.8611, 0.5278], phi:[0.25]] | t^2.25 + t^3. + t^3.5 + t^3.75 + t^4. + t^4.25 + 4*t^4.5 + t^4.75 + 2*t^5.25 + t^5.5 - t^3.75/y - t^4.5/y - t^6./y - t^3.75*y - t^4.5*y - t^6.*y | detail | {a: 1299/1024, c: 1427/1024, X1: 3/2, q1: 23/36, q2: 17/36, qb1: 31/36, qb2: 19/36, phi1: 1/4} |