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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60478 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{6}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ | 1.4596 | 1.6662 | 0.876 | [X:[1.3333], M:[0.6946, 0.9998], q:[0.5648, 0.5371], qb:[0.435, 0.4632], phi:[0.3333]] | [X:[[0, 0]], M:[[1, 2], [2, 1]], q:[[1, 1], [-2, -2]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{1}^{2}$ | ${}M_{2}^{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{1}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 5 | t^2.08 + t^2.92 + 3*t^3. + t^3.08 + 3*t^4. + t^4.08 + t^4.17 + t^4.92 + 4*t^5. + 5*t^5.08 + t^5.17 + t^5.83 + 2*t^5.92 + 5*t^6. + 5*t^6.08 + 2*t^6.17 + t^6.25 + t^6.91 + 2*t^6.92 + 9*t^7. + 8*t^7.08 + 7*t^7.17 + t^7.25 + 2*t^7.83 + 3*t^7.92 + 12*t^8. + 12*t^8.08 + 7*t^8.17 + 2*t^8.25 + t^8.34 + t^8.75 + t^8.83 + t^8.91 - t^4./y - t^5./y - t^6.08/y - t^6.92/y - (3*t^7.)/y - (2*t^7.08)/y - (2*t^8.)/y + (2*t^8.08)/y + (3*t^8.92)/y - t^4.*y - t^5.*y - t^6.08*y - t^6.92*y - 3*t^7.*y - 2*t^7.08*y - 2*t^8.*y + 2*t^8.08*y + 3*t^8.92*y | g1*g2^2*t^2.08 + t^2.92/(g1*g2^2) + t^3. + 2*g1^2*g2*t^3. + g1*g2^2*t^3.08 + t^4. + t^4./(g1^2*g2) + g1^2*g2*t^4. + g1*g2^2*t^4.08 + g1^2*g2^4*t^4.17 + t^4.92/(g1*g2^2) + t^5. + t^5./(g1^2*g2) + 2*g1^2*g2*t^5. + 3*g1*g2^2*t^5.08 + 2*g1^3*g2^3*t^5.08 + g1^2*g2^4*t^5.17 + t^5.83/(g1^2*g2^4) + t^5.92/(g1*g2^2) + (g1*t^5.92)/g2 - t^6. + 3*g1^2*g2*t^6. + 3*g1^4*g2^2*t^6. + 3*g1*g2^2*t^6.08 + 2*g1^3*g2^3*t^6.08 + 2*g1^2*g2^4*t^6.17 + g1^3*g2^6*t^6.25 + g1^3*t^6.91 + t^6.92/(g1^3*g2^3) + t^6.92/(g1*g2^2) + 2*t^7. + t^7./(g1^2*g2) + 4*g1^2*g2*t^7. + 2*g1^4*g2^2*t^7. + (g2*t^7.08)/g1 + 4*g1*g2^2*t^7.08 + 3*g1^3*g2^3*t^7.08 + g2^3*t^7.17 + 4*g1^2*g2^4*t^7.17 + 2*g1^4*g2^5*t^7.17 + g1^3*g2^6*t^7.25 + t^7.83/(g1^6*g2^6) + t^7.83/(g1^2*g2^4) + t^7.92/(g1^3*g2^3) + (2*g1*t^7.92)/g2 + 4*t^8. + t^8./(g1^4*g2^2) + 3*g1^2*g2*t^8. + 4*g1^4*g2^2*t^8. + g1*g2^2*t^8.08 + 8*g1^3*g2^3*t^8.08 + 3*g1^5*g2^4*t^8.08 + 5*g1^2*g2^4*t^8.17 + 2*g1^4*g2^5*t^8.17 + 2*g1^3*g2^6*t^8.25 + g1^4*g2^8*t^8.34 + t^8.75/(g1^3*g2^6) - t^8.83/(g1^4*g2^5) + t^8.83/(g1^2*g2^4) + t^8.83/g2^3 + g1^3*t^8.91 - t^8.92/(g1^5*g2^4) + t^8.92/(g1^3*g2^3) - (2*t^8.92)/(g1*g2^2) + (2*g1*t^8.92)/g2 - t^4./y - t^5./y - (g1*g2^2*t^6.08)/y - t^6.92/(g1*g2^2*y) - t^7./y - (2*g1^2*g2*t^7.)/y - (2*g1*g2^2*t^7.08)/y - (2*g1^2*g2*t^8.)/y + (2*g1^3*g2^3*t^8.08)/y + t^8.92/(g1*g2^2*y) + (2*g1*t^8.92)/(g2*y) - t^4.*y - t^5.*y - g1*g2^2*t^6.08*y - (t^6.92*y)/(g1*g2^2) - t^7.*y - 2*g1^2*g2*t^7.*y - 2*g1*g2^2*t^7.08*y - 2*g1^2*g2*t^8.*y + 2*g1^3*g2^3*t^8.08*y + (t^8.92*y)/(g1*g2^2) + (2*g1*t^8.92*y)/g2 |
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 |
---|---|---|---|---|---|---|---|---|
61030 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{6}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ | 1.3828 | 1.5703 | 0.8806 | [X:[1.3333], M:[0.8333, 1.1667], q:[0.6667, 0.3333], qb:[0.5, 0.5], phi:[0.3333]] | 2*t^2.5 + t^3. + 4*t^3.5 + t^4. + 4*t^4.5 + 3*t^5. + 6*t^5.5 + 5*t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y | detail | {a: 177/128, c: 201/128, X1: 4/3, M1: 5/6, M2: 7/6, q1: 2/3, q2: 1/3, qb1: 1/2, qb2: 1/2, 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 |
---|---|---|---|---|---|---|---|---|---|
57507 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{6}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ | 1.4612 | 1.6678 | 0.8761 | [X:[1.3333], M:[0.6939], q:[0.5755, 0.5157], qb:[0.4571, 0.4518], phi:[0.3333]] | t^2.08 + t^2.9 + t^2.92 + t^3. + t^3.08 + t^3.1 + t^3.9 + t^4. + t^4.08 + t^4.1 + t^4.16 + t^4.9 + t^4.92 + t^4.98 + t^5. + 3*t^5.08 + 2*t^5.1 + t^5.16 + t^5.18 + t^5.8 + t^5.82 + t^5.84 + t^5.9 + t^5.92 + t^5.98 - t^4./y - t^5./y - t^4.*y - t^5.*y | detail |