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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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]] | [M:[[0], [-4], [2], [-6], [0]], q:[[-1], [1]], qb:[[-1], [5]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{5}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{2}M_{3}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$ | ${}M_{1}M_{5}$ | -1 | 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^6.159 + t^6.318 - t^6.477 + t^6.636 + 3*t^6.784 + 3*t^6.943 + 5*t^7.102 + 7*t^7.261 + 2*t^7.42 + t^7.568 + 4*t^7.58 + t^7.727 + 2*t^7.739 + 2*t^7.886 + 2*t^8.045 + 2*t^8.057 + 3*t^8.205 + t^8.216 + 2*t^8.364 + 3*t^8.523 + t^8.534 + 2*t^8.682 - 2*t^8.841 - t^4.42/y - t^6.943/y - t^7.102/y + t^7.739/y + t^7.898/y + t^8.205/y + t^8.364/y + (3*t^8.523)/y + (3*t^8.682)/y + (4*t^8.841)/y - t^4.42*y - t^6.943*y - t^7.102*y + t^7.739*y + t^7.898*y + t^8.205*y + t^8.364*y + 3*t^8.523*y + 3*t^8.682*y + 4*t^8.841*y | t^2.523/g1^6 + t^2.682/g1^4 + t^2.841/g1^2 + 2*t^3. + g1^2*t^3.159 + g1^4*t^3.318 + (3*t^4.261)/g1^3 + (2*t^4.42)/g1 + g1*t^4.58 + 2*g1^3*t^4.739 + g1^5*t^4.898 + t^5.045/g1^12 + t^5.205/g1^10 + g1^9*t^5.216 + (2*t^5.364)/g1^8 + t^5.523/g1^6 + (3*t^5.682)/g1^4 + (2*t^5.841)/g1^2 - t^6. + g1^2*t^6.159 + g1^4*t^6.318 - g1^6*t^6.477 + g1^8*t^6.636 + (3*t^6.784)/g1^9 + (3*t^6.943)/g1^7 + (5*t^7.102)/g1^5 + (7*t^7.261)/g1^3 + (2*t^7.42)/g1 + t^7.568/g1^18 + 4*g1*t^7.58 + t^7.727/g1^16 + 2*g1^3*t^7.739 + (2*t^7.886)/g1^14 + (2*t^8.045)/g1^12 + 2*g1^7*t^8.057 + (3*t^8.205)/g1^10 + g1^9*t^8.216 + (2*t^8.364)/g1^8 + (3*t^8.523)/g1^6 + g1^13*t^8.534 + (2*t^8.682)/g1^4 - (2*t^8.841)/g1^2 - t^4.42/(g1*y) - t^6.943/(g1^7*y) - t^7.102/(g1^5*y) + (g1^3*t^7.739)/y + (g1^5*t^7.898)/y + t^8.205/(g1^10*y) + t^8.364/(g1^8*y) + (3*t^8.523)/(g1^6*y) + (3*t^8.682)/(g1^4*y) + (4*t^8.841)/(g1^2*y) - (t^4.42*y)/g1 - (t^6.943*y)/g1^7 - (t^7.102*y)/g1^5 + g1^3*t^7.739*y + g1^5*t^7.898*y + (t^8.205*y)/g1^10 + (t^8.364*y)/g1^8 + (3*t^8.523*y)/g1^6 + (3*t^8.682*y)/g1^4 + (4*t^8.841*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 |
---|---|---|---|---|---|---|---|---|
1400 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{6}$ | 0.7144 | 0.8801 | 0.8118 | [M:[1.0, 0.8797, 1.0601, 0.8196, 1.0, 0.9399], q:[0.4699, 0.5301], qb:[0.4699, 0.6503], phi:[0.4699]] | t^2.459 + t^2.639 + 2*t^2.82 + 2*t^3. + t^3.361 + 3*t^4.229 + 2*t^4.41 + t^4.59 + 2*t^4.771 + t^4.918 + t^4.951 + t^5.098 + 3*t^5.278 + t^5.312 + 2*t^5.459 + 4*t^5.639 + 3*t^5.82 - 2*t^6. - t^4.41/y - t^4.41*y | detail | |
1398 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.7046 | 0.8623 | 0.8171 | [M:[1.0, 0.9084, 1.0458, 0.8626, 1.0, 1.0458], q:[0.4771, 0.5229], qb:[0.4771, 0.6145], phi:[0.4771]] | t^2.588 + t^2.725 + 2*t^3. + 2*t^3.137 + t^3.275 + 3*t^4.294 + 2*t^4.431 + t^4.569 + 2*t^4.706 + t^4.844 + t^5.118 + t^5.176 + t^5.313 + t^5.45 + 3*t^5.725 + t^5.863 - 2*t^6. - t^4.431/y - t^4.431*y | detail | |
1401 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ | 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]] | 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^4.402/y - t^4.402*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 |
---|---|---|---|---|---|---|---|---|---|
588 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}^{2}$ + ${ }M_{1}^{2}$ | 0.7293 | 0.896 | 0.8139 | [M:[1.0, 0.7765, 0.8995, 0.877, 1.0], q:[0.5503, 0.4497], qb:[0.5503, 0.6733], phi:[0.4441]] | t^2.329 + t^2.631 + t^2.665 + t^2.698 + 2*t^3. + t^3.671 + t^4.031 + 2*t^4.332 + 3*t^4.634 + t^4.659 + t^4.701 + t^4.96 + t^4.994 + 2*t^5.003 + t^5.028 + t^5.262 + t^5.296 + 3*t^5.329 + t^5.363 + t^5.372 + t^5.397 + 2*t^5.665 - 2*t^6. - t^4.332/y - t^4.332*y | detail |