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 |
---|---|---|---|---|---|---|---|---|---|
1401 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 0.7198 | 0.8904 | 0.8084 | [M:[1.0, 0.8691, 1.0654, 0.8037, 1.0, 0.8691], q:[0.4673, 0.5327], qb:[0.4673, 0.6636], phi:[0.4673]] | [M:[[0], [-4], [2], [-6], [0], [-4]], q:[[-1], [1]], qb:[[-1], [5]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{2}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{6}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{6}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$ | ${}M_{1}M_{5}$ | -2 | t^2.411 + 2*t^2.607 + t^2.804 + 2*t^3. + t^3.196 + 3*t^4.206 + 2*t^4.402 + t^4.598 + 2*t^4.794 + t^4.822 + t^4.991 + 2*t^5.018 + 4*t^5.215 + t^5.383 + 2*t^5.411 + 5*t^5.607 + 2*t^5.804 - 2*t^6. - t^6.393 - 2*t^6.589 + 3*t^6.617 + 6*t^6.813 + 7*t^7.009 + 8*t^7.206 + t^7.233 + 4*t^7.402 + 2*t^7.43 + 2*t^7.598 + 4*t^7.626 + 6*t^7.822 + 5*t^8.018 + 6*t^8.215 + 4*t^8.411 - 2*t^8.607 - 3*t^8.804 - t^4.402/y - t^6.813/y - (2*t^7.009)/y + (2*t^7.794)/y + t^7.991/y + (2*t^8.018)/y + (2*t^8.215)/y + (4*t^8.411)/y + (5*t^8.607)/y + (4*t^8.804)/y - t^4.402*y - t^6.813*y - 2*t^7.009*y + 2*t^7.794*y + t^7.991*y + 2*t^8.018*y + 2*t^8.215*y + 4*t^8.411*y + 5*t^8.607*y + 4*t^8.804*y | t^2.411/g1^6 + (2*t^2.607)/g1^4 + t^2.804/g1^2 + 2*t^3. + g1^2*t^3.196 + (3*t^4.206)/g1^3 + (2*t^4.402)/g1 + g1*t^4.598 + 2*g1^3*t^4.794 + t^4.822/g1^12 + g1^5*t^4.991 + (2*t^5.018)/g1^10 + (4*t^5.215)/g1^8 + g1^9*t^5.383 + (2*t^5.411)/g1^6 + (5*t^5.607)/g1^4 + (2*t^5.804)/g1^2 - 2*t^6. - g1^4*t^6.393 - 2*g1^6*t^6.589 + (3*t^6.617)/g1^9 + (6*t^6.813)/g1^7 + (7*t^7.009)/g1^5 + (8*t^7.206)/g1^3 + t^7.233/g1^18 + (4*t^7.402)/g1 + (2*t^7.43)/g1^16 + 2*g1*t^7.598 + (4*t^7.626)/g1^14 + (6*t^7.822)/g1^12 + (5*t^8.018)/g1^10 + (6*t^8.215)/g1^8 + (4*t^8.411)/g1^6 - (2*t^8.607)/g1^4 - (3*t^8.804)/g1^2 - t^4.402/(g1*y) - t^6.813/(g1^7*y) - (2*t^7.009)/(g1^5*y) + (2*g1^3*t^7.794)/y + (g1^5*t^7.991)/y + (2*t^8.018)/(g1^10*y) + (2*t^8.215)/(g1^8*y) + (4*t^8.411)/(g1^6*y) + (5*t^8.607)/(g1^4*y) + (4*t^8.804)/(g1^2*y) - (t^4.402*y)/g1 - (t^6.813*y)/g1^7 - (2*t^7.009*y)/g1^5 + 2*g1^3*t^7.794*y + g1^5*t^7.991*y + (2*t^8.018*y)/g1^10 + (2*t^8.215*y)/g1^8 + (4*t^8.411*y)/g1^6 + (5*t^8.607*y)/g1^4 + (4*t^8.804*y)/g1^2 |
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 |
---|---|---|---|---|---|---|---|---|
2464 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ | 0.7262 | 0.9027 | 0.8045 | [M:[1.0, 0.8561, 1.0719, 0.7842, 1.0, 0.8561, 0.9281], q:[0.464, 0.536], qb:[0.464, 0.6798], phi:[0.464]] | t^2.353 + 2*t^2.568 + 2*t^2.784 + 2*t^3. + 3*t^4.176 + 2*t^4.392 + t^4.608 + t^4.705 + 2*t^4.824 + 2*t^4.921 + t^5.039 + 5*t^5.137 + 4*t^5.353 + t^5.471 + 6*t^5.568 + 2*t^5.784 - 3*t^6. - t^4.392/y - t^4.392*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 |
---|---|---|---|---|---|---|---|---|---|
914 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.7092 | 0.8704 | 0.8148 | [M:[1.0, 0.8939, 1.053, 0.8409, 1.0], q:[0.4735, 0.5265], qb:[0.4735, 0.6326], phi:[0.4735]] | t^2.523 + t^2.682 + t^2.841 + 2*t^3. + t^3.159 + t^3.318 + 3*t^4.261 + 2*t^4.42 + t^4.58 + 2*t^4.739 + t^4.898 + t^5.045 + t^5.205 + t^5.216 + 2*t^5.364 + t^5.523 + 3*t^5.682 + 2*t^5.841 - t^6. - t^4.42/y - t^4.42*y | detail |