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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1919 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ | 0.6674 | 0.8593 | 0.7766 | [M:[0.8127, 1.1873, 0.8127, 0.6873, 1.1204, 0.8077], q:[0.75, 0.4373], qb:[0.4423, 0.3704], phi:[0.5]] | [M:[[1, 1], [-1, -1], [1, 1], [-1, -1], [0, 1], [-1, 0]], q:[[0, 0], [-1, -1]], qb:[[1, 0], [0, 1]], phi:[[0, 0]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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${}M_{4}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{3}M_{4}$, ${ }M_{6}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{4}M_{5}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{3}M_{5}$, ${ }M_{3}q_{1}\tilde{q}_{2}$ | ${}$ | -3 | t^2.062 + 2*t^2.423 + 2*t^2.438 + t^3. + 2*t^3.361 + t^3.723 + t^3.923 + 2*t^4.124 + t^4.139 + t^4.154 + 2*t^4.485 + 2*t^4.5 + 3*t^4.846 + 4*t^4.861 + 3*t^4.876 + t^5.062 + 4*t^5.423 + 2*t^5.438 + 4*t^5.784 + 3*t^5.8 - 3*t^6. - t^6.015 + 2*t^6.146 + 2*t^6.161 + 2*t^6.185 + 2*t^6.346 + 2*t^6.361 + 4*t^6.547 + 4*t^6.562 + 2*t^6.577 + 2*t^6.592 + 3*t^6.723 + 3*t^6.908 + 3*t^6.923 + t^6.938 + 2*t^7.084 + t^7.124 - t^7.139 + 4*t^7.269 + 6*t^7.284 + 4*t^7.3 + 4*t^7.315 + t^7.445 + 4*t^7.485 + t^7.646 - 2*t^7.7 - 2*t^7.716 + 8*t^7.846 + 6*t^7.861 + 3*t^7.876 + t^8.047 - 4*t^8.062 - 2*t^8.077 + 6*t^8.207 + 6*t^8.223 + 4*t^8.238 + 3*t^8.247 + t^8.262 + t^8.277 + t^8.293 + t^8.308 - 6*t^8.423 - 8*t^8.438 - 2*t^8.453 + 3*t^8.569 + 4*t^8.584 + 3*t^8.599 + 4*t^8.608 + 2*t^8.624 - 2*t^8.639 + 3*t^8.769 + 6*t^8.784 + 2*t^8.8 + 6*t^8.97 + 5*t^8.985 - t^4.5/y - t^6.562/y - t^6.923/y - t^6.938/y + t^7.139/y + (2*t^7.485)/y + (2*t^7.5)/y + t^7.846/y + (3*t^7.861)/y + t^7.876/y + (2*t^8.062)/y + t^8.077/y + (4*t^8.423)/y + (3*t^8.438)/y - t^8.624/y + (5*t^8.784)/y + (4*t^8.8)/y - t^4.5*y - t^6.562*y - t^6.923*y - t^6.938*y + t^7.139*y + 2*t^7.485*y + 2*t^7.5*y + t^7.846*y + 3*t^7.861*y + t^7.876*y + 2*t^8.062*y + t^8.077*y + 4*t^8.423*y + 3*t^8.438*y - t^8.624*y + 5*t^8.784*y + 4*t^8.8*y | t^2.062/(g1*g2) + (2*t^2.423)/g1 + 2*g1*g2*t^2.438 + t^3. + 2*g2*t^3.361 + g2^2*t^3.723 + t^3.923/g1 + (2*t^4.124)/(g1^2*g2^2) + t^4.139/g2 + g1^2*t^4.154 + (2*t^4.485)/(g1^2*g2) + 2*t^4.5 + (3*t^4.846)/g1^2 + 4*g2*t^4.861 + 3*g1^2*g2^2*t^4.876 + t^5.062/(g1*g2) + (4*t^5.423)/g1 + 2*g1*g2*t^5.438 + (4*g2*t^5.784)/g1 + 3*g1*g2^2*t^5.8 - 3*t^6. - g1^2*g2*t^6.015 + (2*g2^2*t^6.146)/g1 + 2*g1*g2^3*t^6.161 + (2*t^6.185)/(g1^3*g2^3) + (2*t^6.346)/g1^2 + 2*g2*t^6.361 + (4*t^6.547)/(g1^3*g2^2) + (4*t^6.562)/(g1*g2) + 2*g1*t^6.577 + 2*g1^3*g2*t^6.592 + 3*g2^2*t^6.723 + (3*t^6.908)/(g1^3*g2) + (3*t^6.923)/g1 + g1*g2*t^6.938 + 2*g2^3*t^7.084 + t^7.124/(g1^2*g2^2) - t^7.139/g2 + (4*t^7.269)/g1^3 + (6*g2*t^7.284)/g1 + 4*g1*g2^2*t^7.3 + 4*g1^3*g2^3*t^7.315 + g2^4*t^7.445 + (4*t^7.485)/(g1^2*g2) + (g2^2*t^7.646)/g1 - (2*t^7.7)/(g1*g2^2) - (2*g1*t^7.716)/g2 + (8*t^7.846)/g1^2 + 6*g2*t^7.861 + 3*g1^2*g2^2*t^7.876 + t^8.047/(g1^3*g2^2) - (4*t^8.062)/(g1*g2) - 2*g1*t^8.077 + (6*g2*t^8.207)/g1^2 + 6*g2^2*t^8.223 + 4*g1^2*g2^3*t^8.238 + (3*t^8.247)/(g1^4*g2^4) + t^8.262/(g1^2*g2^3) + t^8.277/g2^2 + (g1^2*t^8.293)/g2 + g1^4*t^8.308 - (6*t^8.423)/g1 - 8*g1*g2*t^8.438 - 2*g1^3*g2^2*t^8.453 + (3*g2^2*t^8.569)/g1^2 + 4*g2^3*t^8.584 + 3*g1^2*g2^4*t^8.599 + (4*t^8.608)/(g1^4*g2^3) + (2*t^8.624)/(g1^2*g2^2) - (2*t^8.639)/g2 + (3*t^8.769)/g1^3 + (6*g2*t^8.784)/g1 + 2*g1*g2^2*t^8.8 + (6*t^8.97)/(g1^4*g2^2) + (5*t^8.985)/(g1^2*g2) - t^4.5/y - t^6.562/(g1*g2*y) - t^6.923/(g1*y) - (g1*g2*t^6.938)/y + t^7.139/(g2*y) + (2*t^7.485)/(g1^2*g2*y) + (2*t^7.5)/y + t^7.846/(g1^2*y) + (3*g2*t^7.861)/y + (g1^2*g2^2*t^7.876)/y + (2*t^8.062)/(g1*g2*y) + (g1*t^8.077)/y + (4*t^8.423)/(g1*y) + (3*g1*g2*t^8.438)/y - t^8.624/(g1^2*g2^2*y) + (5*g2*t^8.784)/(g1*y) + (4*g1*g2^2*t^8.8)/y - t^4.5*y - (t^6.562*y)/(g1*g2) - (t^6.923*y)/g1 - g1*g2*t^6.938*y + (t^7.139*y)/g2 + (2*t^7.485*y)/(g1^2*g2) + 2*t^7.5*y + (t^7.846*y)/g1^2 + 3*g2*t^7.861*y + g1^2*g2^2*t^7.876*y + (2*t^8.062*y)/(g1*g2) + g1*t^8.077*y + (4*t^8.423*y)/g1 + 3*g1*g2*t^8.438*y - (t^8.624*y)/(g1^2*g2^2) + (5*g2*t^8.784*y)/g1 + 4*g1*g2^2*t^8.8*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
571 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}M_{3}$ + ${ }\phi_{1}^{4}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.652 | 0.8312 | 0.7844 | [M:[0.8043, 1.1957, 0.8043, 0.6957, 1.1326], q:[0.75, 0.4457], qb:[0.4217, 0.3826], phi:[0.5]] | t^2.087 + 2*t^2.413 + t^2.485 + t^3. + 2*t^3.398 + t^3.515 + t^3.796 + t^3.985 + t^4.03 + t^4.102 + 2*t^4.174 + 2*t^4.5 + t^4.572 + 3*t^4.826 + 2*t^4.898 + t^4.97 + t^5.087 + 2*t^5.413 + 3*t^5.485 + t^5.602 + 3*t^5.811 + 2*t^5.883 + t^5.928 - 2*t^6. - t^4.5/y - t^4.5*y | detail |