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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2725 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}q_{2}$ + ${ }M_{4}q_{1}q_{2}$ | 0.6346 | 0.8065 | 0.7869 | [M:[1.125, 1.125, 0.75, 0.75], q:[0.75, 0.5], qb:[0.375, 0.375], phi:[0.5]] | [M:[[1], [-1], [0], [0]], q:[[0], [0]], qb:[[-1], [1]], phi:[[0]]] | 1 | {a: 5199/8192, c: 6607/8192, M1: 9/8, M2: 9/8, M3: 3/4, M4: 3/4, q1: 3/4, q2: 1/2, qb1: 3/8, qb2: 3/8, phi1: 1/2} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{4}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{3}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{3}$ | 1 | 3*t^2.25 + t^3. + 4*t^3.375 + 2*t^3.75 + 2*t^4.125 + 7*t^4.5 + 3*t^5.25 + 10*t^5.625 + t^6. + 4*t^6.375 + 19*t^6.75 + 2*t^7.125 + 8*t^7.5 + 18*t^7.875 - 2*t^8.25 + 6*t^8.625 - t^4.5/y - (2*t^6.75)/y + (2*t^7.125)/y + (3*t^7.5)/y - (2*t^7.875)/y + (5*t^8.25)/y + (12*t^8.625)/y - t^4.5*y - 2*t^6.75*y + 2*t^7.125*y + 3*t^7.5*y - 2*t^7.875*y + 5*t^8.25*y + 12*t^8.625*y | 3*t^2.25 + t^3. + (2*t^3.375)/g1 + 2*g1*t^3.375 + t^3.75/g1^2 + g1^2*t^3.75 + t^4.125/g1 + g1*t^4.125 + 7*t^4.5 + 3*t^5.25 + (5*t^5.625)/g1 + 5*g1*t^5.625 - 3*t^6. + (2*t^6.)/g1^2 + 2*g1^2*t^6. + (2*t^6.375)/g1 + 2*g1*t^6.375 + 13*t^6.75 + (3*t^6.75)/g1^2 + 3*g1^2*t^6.75 + (2*t^7.125)/g1^3 - t^7.125/g1 - g1*t^7.125 + 2*g1^3*t^7.125 + 6*t^7.5 + t^7.5/g1^4 + g1^4*t^7.5 + t^7.875/g1^3 + (8*t^7.875)/g1 + 8*g1*t^7.875 + g1^3*t^7.875 - 10*t^8.25 + (4*t^8.25)/g1^2 + 4*g1^2*t^8.25 + (3*t^8.625)/g1 + 3*g1*t^8.625 - t^4.5/y - (2*t^6.75)/y + t^7.125/(g1*y) + (g1*t^7.125)/y + (3*t^7.5)/y - t^7.875/(g1*y) - (g1*t^7.875)/y + (5*t^8.25)/y + (6*t^8.625)/(g1*y) + (6*g1*t^8.625)/y - t^4.5*y - 2*t^6.75*y + (t^7.125*y)/g1 + g1*t^7.125*y + 3*t^7.5*y - (t^7.875*y)/g1 - g1*t^7.875*y + 5*t^8.25*y + (6*t^8.625*y)/g1 + 6*g1*t^8.625*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
1722 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}q_{2}$ | 0.6156 | 0.7719 | 0.7976 | [M:[1.125, 1.125, 0.75], q:[0.75, 0.5], qb:[0.375, 0.375], phi:[0.5]] | 2*t^2.25 + t^3. + 4*t^3.375 + 3*t^3.75 + 2*t^4.125 + 4*t^4.5 + 2*t^5.25 + 6*t^5.625 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 5043/8192, c: 6323/8192, M1: 9/8, M2: 9/8, M3: 3/4, q1: 3/4, q2: 1/2, qb1: 3/8, qb2: 3/8, phi1: 1/2} |