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 |
---|---|---|---|---|---|---|---|---|---|
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]] | [X:[[0, 0]], M:[[1, 2]], 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 |
---|---|---|---|---|
${}M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | ${2}q_{1}q_{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | 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 + 3*t^6.08 + 2*t^6.1 + 2*t^6.16 + t^6.18 + t^6.2 + t^6.25 + t^6.8 + t^6.82 + 2*t^6.9 + t^6.92 + 2*t^6.98 + 2*t^7. + 2*t^7.07 + 4*t^7.08 + 3*t^7.1 + t^7.11 + 4*t^7.16 + 2*t^7.18 + t^7.2 + t^7.25 + t^7.26 + t^7.64 + 2*t^7.8 + 2*t^7.82 + t^7.84 + t^7.89 + t^7.9 + 3*t^7.98 + 5*t^8. + t^8.02 + t^8.07 + 2*t^8.08 + 2*t^8.1 + 5*t^8.16 + 5*t^8.18 + 2*t^8.2 + 2*t^8.25 + t^8.26 + t^8.28 + t^8.33 + t^8.71 + t^8.75 + 2*t^8.8 + 2*t^8.82 + t^8.84 + t^8.89 - t^8.9 - 2*t^8.92 + 5*t^8.98 - t^4./y - t^5./y - t^6.08/y - t^6.9/y - t^6.92/y - t^7./y - (2*t^7.08)/y - t^7.1/y - t^7.9/y + t^7.98/y - t^8.1/y + t^8.18/y + t^8.82/y + t^8.92/y + t^8.98/y - t^4.*y - t^5.*y - t^6.08*y - t^6.9*y - t^6.92*y - t^7.*y - 2*t^7.08*y - t^7.1*y - t^7.9*y + t^7.98*y - t^8.1*y + t^8.18*y + t^8.82*y + t^8.92*y + t^8.98*y | g1*g2^2*t^2.08 + t^2.9/(g1^2*g2) + t^2.92/(g1*g2^2) + t^3. + g1*g2^2*t^3.08 + g1^2*g2*t^3.1 + t^3.9/(g1^2*g2) + t^4. + g1*g2^2*t^4.08 + g1^2*g2*t^4.1 + g1^2*g2^4*t^4.16 + t^4.9/(g1^2*g2) + t^4.92/(g1*g2^2) + (g2*t^4.98)/g1 + t^5. + 3*g1*g2^2*t^5.08 + 2*g1^2*g2*t^5.1 + g1^2*g2^4*t^5.16 + g1^3*g2^3*t^5.18 + t^5.8/(g1^4*g2^2) + t^5.82/(g1^3*g2^3) + t^5.84/(g1^2*g2^4) + t^5.9/(g1^2*g2) + t^5.92/(g1*g2^2) + (g2*t^5.98)/g1 + 3*g1*g2^2*t^6.08 + 2*g1^2*g2*t^6.1 + 2*g1^2*g2^4*t^6.16 + g1^3*g2^3*t^6.18 + g1^4*g2^2*t^6.2 + g1^3*g2^6*t^6.25 + t^6.8/(g1^4*g2^2) + t^6.82/(g1^3*g2^3) + (2*t^6.9)/(g1^2*g2) + t^6.92/(g1*g2^2) + (2*g2*t^6.98)/g1 + 2*t^7. + 2*g2^3*t^7.07 + 4*g1*g2^2*t^7.08 + 3*g1^2*g2*t^7.1 + g1^3*t^7.11 + 4*g1^2*g2^4*t^7.16 + 2*g1^3*g2^3*t^7.18 + g1^4*g2^2*t^7.2 + g1^3*g2^6*t^7.25 + g1^4*g2^5*t^7.26 + t^7.64/(g1^6*g2^6) + (2*t^7.8)/(g1^4*g2^2) + (2*t^7.82)/(g1^3*g2^3) + t^7.84/(g1^2*g2^4) + t^7.89/g1^3 + t^7.9/(g1^2*g2) + (3*g2*t^7.98)/g1 + 5*t^8. + (g1*t^8.02)/g2 + g2^3*t^8.07 + 2*g1*g2^2*t^8.08 + 2*g1^2*g2*t^8.1 + 5*g1^2*g2^4*t^8.16 + 5*g1^3*g2^3*t^8.18 + 2*g1^4*g2^2*t^8.2 + 2*g1^3*g2^6*t^8.25 + g1^4*g2^5*t^8.26 + g1^5*g2^4*t^8.28 + g1^4*g2^8*t^8.33 + t^8.71/(g1^6*g2^3) + t^8.75/(g1^3*g2^6) + (2*t^8.8)/(g1^4*g2^2) + (2*t^8.82)/(g1^3*g2^3) + t^8.84/(g1^2*g2^4) + t^8.89/g1^3 - t^8.9/(g1^2*g2) - (2*t^8.92)/(g1*g2^2) + (5*g2*t^8.98)/g1 - t^4./y - t^5./y - (g1*g2^2*t^6.08)/y - t^6.9/(g1^2*g2*y) - t^6.92/(g1*g2^2*y) - t^7./y - (2*g1*g2^2*t^7.08)/y - (g1^2*g2*t^7.1)/y - t^7.9/(g1^2*g2*y) + (g2*t^7.98)/(g1*y) - (g1^2*g2*t^8.1)/y + (g1^3*g2^3*t^8.18)/y + t^8.82/(g1^3*g2^3*y) + t^8.92/(g1*g2^2*y) + (g2*t^8.98)/(g1*y) - t^4.*y - t^5.*y - g1*g2^2*t^6.08*y - (t^6.9*y)/(g1^2*g2) - (t^6.92*y)/(g1*g2^2) - t^7.*y - 2*g1*g2^2*t^7.08*y - g1^2*g2*t^7.1*y - (t^7.9*y)/(g1^2*g2) + (g2*t^7.98*y)/g1 - g1^2*g2*t^8.1*y + g1^3*g2^3*t^8.18*y + (t^8.82*y)/(g1^3*g2^3) + (t^8.92*y)/(g1*g2^2) + (g2*t^8.98*y)/g1 |
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 |
---|---|---|---|---|---|---|---|---|
58977 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{6}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ | 1.3759 | 1.5722 | 0.8752 | [X:[1.3333], M:[0.8606], q:[0.5737, 0.5192], qb:[0.2869, 0.6202], phi:[0.3333]] | t^2.42 + 2*t^2.58 + t^3. + t^3.42 + 2*t^3.58 + t^4. + 2*t^4.42 + 3*t^4.58 + t^4.84 + t^5. + 3*t^5.16 + 2*t^5.42 + 6*t^5.58 + t^5.84 + t^6. - t^4./y - t^5./y - t^4.*y - t^5.*y | detail | |
60478 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{6}$ + ${ }M_{1}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ | 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]] | 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. - t^4./y - t^5./y - t^4.*y - t^5.*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 |
---|---|---|---|---|---|---|---|---|---|
47911 | SU3adj1nf2 | ${}\phi_{1}q_{1}^{2}q_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }\phi_{1}^{6}$ | 1.4406 | 1.6281 | 0.8848 | [X:[1.3333], q:[0.5771, 0.5124], qb:[0.4552, 0.4552], phi:[0.3333]] | 2*t^2.903 + t^3. + 2*t^3.097 + 2*t^3.903 + t^4. + 2*t^4.097 + 2*t^4.903 + 4*t^5.097 + 3*t^5.806 + 2*t^5.903 - t^4./y - t^5./y - t^4.*y - t^5.*y | detail |