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 |
---|---|---|---|---|---|---|---|---|---|
59428 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ | 1.1272 | 1.2678 | 0.8891 | [X:[1.5], M:[1.0, 0.75], q:[0.375, 0.875], qb:[0.375, 0.875], phi:[0.25]] | [X:[[0, 0]], M:[[0, 0], [0, 0]], q:[[-1, 0], [0, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 | {a: 4617/4096, c: 5193/4096, X1: 3/2, M1: 1, M2: 3/4, q1: 3/8, q2: 7/8, qb1: 3/8, qb2: 7/8, phi1: 1/4} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}^{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }\phi_{1}^{6}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }X_{1}$, ${ }M_{1}M_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$, ${ }\phi_{1}q_{1}^{2}q_{2}$ | ${}M_{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 2 | 3*t^2.25 + t^3. + 2*t^3.75 + 7*t^4.5 + 4*t^5.25 + 4*t^5.62 + 2*t^6. + 14*t^6.75 + 9*t^7.5 + 8*t^7.88 + 4*t^8.25 + t^8.25/y^2 - t^3.75/y - t^4.5/y - (3*t^6.)/y - (3*t^6.75)/y + t^7.5/y - (2*t^8.25)/y - t^3.75*y - t^4.5*y - 3*t^6.*y - 3*t^6.75*y + t^7.5*y - 2*t^8.25*y + t^8.25*y^2 | 3*t^2.25 + t^3. + (g1*t^3.75)/g2 + (g2*t^3.75)/g1 + 7*t^4.5 + 4*t^5.25 + t^5.62/g1^3 + g1^3*t^5.62 + t^5.62/(g1^2*g2) + g1^2*g2*t^5.62 - 2*t^6. + (2*g1*t^6.)/g2 + (2*g2*t^6.)/g1 + 12*t^6.75 + (g1*t^6.75)/g2 + (g2*t^6.75)/g1 + 9*t^7.5 + (g1^2*t^7.5)/g2^2 - (g1*t^7.5)/g2 - (g2*t^7.5)/g1 + (g2^2*t^7.5)/g1^2 + (2*t^7.88)/g1^3 + 2*g1^3*t^7.88 + (2*t^7.88)/(g1^2*g2) + 2*g1^2*g2*t^7.88 - 4*t^8.25 + (4*g1*t^8.25)/g2 + (4*g2*t^8.25)/g1 + t^8.25/y^2 - t^3.75/y - t^4.5/y - (3*t^6.)/y - (3*t^6.75)/y + (3*t^7.5)/y - (g1*t^7.5)/(g2*y) - (g2*t^7.5)/(g1*y) - (2*t^8.25)/y - t^3.75*y - t^4.5*y - 3*t^6.*y - 3*t^6.75*y + 3*t^7.5*y - (g1*t^7.5*y)/g2 - (g2*t^7.5*y)/g1 - 2*t^8.25*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 |
---|---|---|---|---|---|---|---|---|
61257 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ | 1.1468 | 1.3048 | 0.8789 | [X:[1.5], M:[1.0, 0.75, 0.7226], q:[0.3704, 0.8978], qb:[0.3796, 0.8522], phi:[0.25]] | t^2.17 + 3*t^2.25 + t^3. + t^3.67 + t^4.34 + 3*t^4.42 + 7*t^4.5 + t^5.17 + 4*t^5.25 + 2*t^5.58 + 2*t^5.67 + t^5.84 + 2*t^5.92 - 2*t^6. - t^3.75/y - t^4.5/y - t^5.92/y - (3*t^6.)/y - t^3.75*y - t^4.5*y - t^5.92*y - 3*t^6.*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 |
---|---|---|---|---|---|---|---|---|---|
57430 | SU3adj1nf2 | ${}M_{1}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ | 1.1368 | 1.2713 | 0.8942 | [X:[1.539], M:[0.922, 0.6915], q:[0.4237, 0.8847], qb:[0.4237, 0.8847], phi:[0.2305]] | 2*t^2.075 + t^2.542 + t^2.766 + 2*t^3.925 + 3*t^4.149 + 3*t^4.617 + 2*t^4.841 + t^5.085 + 2*t^5.308 + t^5.532 + 4*t^5.888 - t^6. - t^3.692/y - t^4.383/y - (2*t^5.766)/y - t^3.692*y - t^4.383*y - 2*t^5.766*y | detail |