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 |
---|---|---|---|---|---|---|---|---|---|
55436 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6837 | 0.877 | 0.7797 | [M:[0.8833, 1.2208, 0.7792, 0.6751, 0.7792, 0.7792], q:[0.6751, 0.4416], qb:[0.3376, 0.7792], phi:[0.4416]] | [M:[[-4], [-1], [1], [6], [1], [1]], q:[[6], [-2]], qb:[[3], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{3}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{5}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.025 + 3*t^2.338 + 2*t^2.65 + t^3.038 + 2*t^3.35 + t^4.051 + 5*t^4.363 + 9*t^4.675 + 5*t^4.987 + t^5.063 + 2*t^5.3 + 6*t^5.376 + 7*t^5.688 + 2*t^6.076 - 4*t^6.312 + 7*t^6.388 - t^6.624 + 14*t^6.7 + 15*t^7.013 + t^7.089 + 7*t^7.325 + 8*t^7.401 + 3*t^7.637 + 18*t^7.713 + 3*t^7.949 + 12*t^8.025 + 2*t^8.101 - 10*t^8.338 + 11*t^8.414 - 14*t^8.65 + 23*t^8.726 - 8*t^8.962 - t^4.325/y - t^6.35/y - (2*t^6.662)/y - (2*t^6.975)/y + (3*t^7.363)/y + (7*t^7.675)/y + (8*t^7.987)/y + t^8.063/y + (2*t^8.3)/y + (4*t^8.376)/y + (6*t^8.688)/y - t^4.325*y - t^6.35*y - 2*t^6.662*y - 2*t^6.975*y + 3*t^7.363*y + 7*t^7.675*y + 8*t^7.987*y + t^8.063*y + 2*t^8.3*y + 4*t^8.376*y + 6*t^8.688*y | g1^6*t^2.025 + 3*g1*t^2.338 + (2*t^2.65)/g1^4 + g1^9*t^3.038 + 2*g1^4*t^3.35 + g1^12*t^4.051 + 5*g1^7*t^4.363 + 9*g1^2*t^4.675 + (5*t^4.987)/g1^3 + g1^15*t^5.063 + (2*t^5.3)/g1^8 + 6*g1^10*t^5.376 + 7*g1^5*t^5.688 + 2*g1^18*t^6.076 - (4*t^6.312)/g1^5 + 7*g1^13*t^6.388 - t^6.624/g1^10 + 14*g1^8*t^6.7 + 15*g1^3*t^7.013 + g1^21*t^7.089 + (7*t^7.325)/g1^2 + 8*g1^16*t^7.401 + (3*t^7.637)/g1^7 + 18*g1^11*t^7.713 + (3*t^7.949)/g1^12 + 12*g1^6*t^8.025 + 2*g1^24*t^8.101 - 10*g1*t^8.338 + 11*g1^19*t^8.414 - (14*t^8.65)/g1^4 + 23*g1^14*t^8.726 - (8*t^8.962)/g1^9 - t^4.325/(g1^2*y) - (g1^4*t^6.35)/y - (2*t^6.662)/(g1*y) - (2*t^6.975)/(g1^6*y) + (3*g1^7*t^7.363)/y + (7*g1^2*t^7.675)/y + (8*t^7.987)/(g1^3*y) + (g1^15*t^8.063)/y + (2*t^8.3)/(g1^8*y) + (4*g1^10*t^8.376)/y + (6*g1^5*t^8.688)/y - (t^4.325*y)/g1^2 - g1^4*t^6.35*y - (2*t^6.662*y)/g1 - (2*t^6.975*y)/g1^6 + 3*g1^7*t^7.363*y + 7*g1^2*t^7.675*y + (8*t^7.987*y)/g1^3 + g1^15*t^8.063*y + (2*t^8.3*y)/g1^8 + 4*g1^10*t^8.376*y + 6*g1^5*t^8.688*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 |
---|---|---|---|---|---|---|---|---|
57007 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6948 | 0.8933 | 0.7777 | [M:[0.8707, 1.2177, 0.7823, 0.694, 0.7823, 0.7823, 0.8707], q:[0.694, 0.4353], qb:[0.347, 0.7823], phi:[0.4353]] | t^2.082 + 3*t^2.347 + 3*t^2.612 + t^3.123 + t^3.388 + t^4.164 + 5*t^4.429 + 10*t^4.694 + 8*t^4.959 + t^5.205 + 5*t^5.224 + 5*t^5.47 + 5*t^5.735 - t^6. - t^4.306/y - t^4.306*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 |
---|---|---|---|---|---|---|---|---|---|
47290 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{2}M_{5}$ | 0.6661 | 0.8451 | 0.7882 | [M:[0.8812, 1.2203, 0.7797, 0.6782, 0.7797], q:[0.6782, 0.4406], qb:[0.3391, 0.7797], phi:[0.4406]] | t^2.035 + 2*t^2.339 + 2*t^2.644 + t^3.052 + 2*t^3.356 + t^3.661 + t^4.069 + 4*t^4.374 + 6*t^4.678 + 3*t^4.983 + t^5.087 + 2*t^5.287 + 5*t^5.391 + 6*t^5.696 + 2*t^6. - t^4.322/y - t^4.322*y | detail |