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 |
---|---|---|---|---|---|---|---|---|---|
57399 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.2292 | 1.3958 | 0.8806 | [X:[1.3333, 1.3333], q:[0.7778, 0.4444], qb:[0.2222, 0.5556], phi:[0.3333]] | [X:[[0], [0]], q:[[-2], [1]], qb:[[-1], [2]], phi:[[0]]] | 1 | {a: 59/48, c: 67/48, X1: 4/3, X2: 4/3, q1: 7/9, q2: 4/9, qb1: 2/9, qb2: 5/9, phi1: 1/3} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }X_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{6}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{4}q_{2}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 6 | 4*t^3. + 7*t^4. + 4*t^5. + 6*t^6. + 19*t^7. + 28*t^8. - t^4./y - t^5./y - (3*t^7.)/y - (6*t^8.)/y - t^4.*y - t^5.*y - 3*t^7.*y - 6*t^8.*y | 2*t^3. + t^3./g1^3 + g1^3*t^3. + 5*t^4. + t^4./g1^3 + g1^3*t^4. + 2*t^5. + t^5./g1^3 + g1^3*t^5. + 2*t^6. + t^6./g1^6 + t^6./g1^3 + g1^3*t^6. + g1^6*t^6. + 7*t^7. + t^7./g1^6 + (5*t^7.)/g1^3 + 5*g1^3*t^7. + g1^6*t^7. + 14*t^8. + (2*t^8.)/g1^6 + (5*t^8.)/g1^3 + 5*g1^3*t^8. + 2*g1^6*t^8. - t^4./y - t^5./y - t^7./y - t^7./(g1^3*y) - (g1^3*t^7.)/y - (4*t^8.)/y - t^8./(g1^3*y) - (g1^3*t^8.)/y - t^4.*y - t^5.*y - t^7.*y - (t^7.*y)/g1^3 - g1^3*t^7.*y - 4*t^8.*y - (t^8.*y)/g1^3 - g1^3*t^8.*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 |
---|---|---|---|---|---|---|---|---|
58545 | ${}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }q_{2}\tilde{q}_{2}X_{3}$ | 1.0833 | 1.2292 | 0.8814 | [X:[1.3333, 1.3333, 1.3333], M:[], q:[1.0, 0.3333], qb:[0.3333, 0.3333], phi:[0.3333]] | 3*t^3. + 8*t^4. + 2*t^5. + 3*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y | detail | {a: 13/12, c: 59/48, X1: 4/3, X2: 4/3, X3: 4/3, q1: 1, q2: 1/3, qb1: 1/3, qb2: 1/3, phi1: 1/3} |
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 |
---|---|---|---|---|---|---|---|---|---|
47895 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ + ${ }q_{2}\tilde{q}_{1}X_{2}$ | 1.2917 | 1.4583 | 0.8857 | [X:[1.3333, 1.3333], q:[0.6667, 0.3333], qb:[0.3333, 0.6667], phi:[0.3333]] | 4*t^3. + 6*t^4. + 3*t^5. + 11*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y | detail | {a: 31/24, c: 35/24, X1: 4/3, X2: 4/3, q1: 2/3, q2: 1/3, qb1: 1/3, qb2: 2/3, phi1: 1/3} |