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 |
---|---|---|---|---|---|---|---|---|---|
1472 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ | 0.6943 | 0.8492 | 0.8177 | [M:[1.0153, 0.9541, 1.0, 0.9694, 1.0306, 1.0153], q:[0.5077, 0.477], qb:[0.4923, 0.5536], phi:[0.4923]] | [M:[[2], [-6], [0], [-4], [4], [2]], q:[[1], [-3]], qb:[[-1], [7]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{4}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{6}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{4}M_{6}$ | ${}$ | -2 | t^2.862 + t^2.908 + t^3. + 2*t^3.046 + t^3.092 + t^3.184 + t^4.339 + t^4.385 + 2*t^4.431 + t^4.477 + t^4.523 + t^4.569 + t^4.615 + t^4.661 + t^4.799 + t^5.724 + 2*t^5.908 + t^5.954 - 2*t^6. + t^6.046 + 3*t^6.092 + t^6.138 + t^6.184 + t^6.23 + t^6.276 + t^6.368 + t^7.201 + t^7.247 + 2*t^7.293 + 2*t^7.339 + 2*t^7.385 + 3*t^7.431 + 2*t^7.477 + 3*t^7.523 + t^7.569 + 2*t^7.615 + 3*t^7.661 + 2*t^7.707 + t^7.753 + t^7.799 + 2*t^7.845 + t^7.891 + t^7.982 + t^8.587 + t^8.678 + t^8.724 + 3*t^8.77 + t^8.816 - 2*t^8.862 + 2*t^8.954 - t^4.477/y - t^7.339/y + t^7.431/y - t^7.523/y + t^7.615/y + t^8.77/y + t^8.862/y + (3*t^8.908)/y + (3*t^8.954)/y - t^4.477*y - t^7.339*y + t^7.431*y - t^7.523*y + t^7.615*y + t^8.77*y + t^8.862*y + 3*t^8.908*y + 3*t^8.954*y | t^2.862/g1^6 + t^2.908/g1^4 + t^3. + 2*g1^2*t^3.046 + g1^4*t^3.092 + g1^8*t^3.184 + t^4.339/g1^7 + t^4.385/g1^5 + (2*t^4.431)/g1^3 + t^4.477/g1 + g1*t^4.523 + g1^3*t^4.569 + g1^5*t^4.615 + g1^7*t^4.661 + g1^13*t^4.799 + t^5.724/g1^12 + (2*t^5.908)/g1^4 + t^5.954/g1^2 - 2*t^6. + g1^2*t^6.046 + 3*g1^4*t^6.092 + g1^6*t^6.138 + g1^8*t^6.184 + g1^10*t^6.23 + g1^12*t^6.276 + g1^16*t^6.368 + t^7.201/g1^13 + t^7.247/g1^11 + (2*t^7.293)/g1^9 + (2*t^7.339)/g1^7 + (2*t^7.385)/g1^5 + (3*t^7.431)/g1^3 + (2*t^7.477)/g1 + 3*g1*t^7.523 + g1^3*t^7.569 + 2*g1^5*t^7.615 + 3*g1^7*t^7.661 + 2*g1^9*t^7.707 + g1^11*t^7.753 + g1^13*t^7.799 + 2*g1^15*t^7.845 + g1^17*t^7.891 + g1^21*t^7.982 + t^8.587/g1^18 + t^8.678/g1^14 + t^8.724/g1^12 + (3*t^8.77)/g1^10 + t^8.816/g1^8 - (2*t^8.862)/g1^6 + (2*t^8.954)/g1^2 - t^4.477/(g1*y) - t^7.339/(g1^7*y) + t^7.431/(g1^3*y) - (g1*t^7.523)/y + (g1^5*t^7.615)/y + t^8.77/(g1^10*y) + t^8.862/(g1^6*y) + (3*t^8.908)/(g1^4*y) + (3*t^8.954)/(g1^2*y) - (t^4.477*y)/g1 - (t^7.339*y)/g1^7 + (t^7.431*y)/g1^3 - g1*t^7.523*y + g1^5*t^7.615*y + (t^8.77*y)/g1^10 + (t^8.862*y)/g1^6 + (3*t^8.908*y)/g1^4 + (3*t^8.954*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 |
---|---|---|---|---|---|---|---|---|
2579 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }M_{5}M_{7}$ | 0.6979 | 0.8549 | 0.8164 | [M:[1.0229, 0.9313, 1.0, 0.9542, 1.0458, 1.0229, 0.9542], q:[0.5115, 0.4656], qb:[0.4885, 0.5802], phi:[0.4885]] | t^2.794 + 2*t^2.863 + t^3. + 2*t^3.069 + t^3.275 + t^4.259 + t^4.328 + 2*t^4.397 + t^4.466 + t^4.534 + t^4.603 + t^4.672 + t^4.741 + t^4.947 + t^5.588 + t^5.656 + 2*t^5.725 + 3*t^5.863 + 2*t^5.931 - 3*t^6. - t^4.466/y - t^4.466*y | detail | |
2577 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ | 0.6513 | 0.8003 | 0.8138 | [M:[1.0769, 0.7692, 1.0, 0.8462, 1.1538, 1.0769], q:[0.5385, 0.3846], qb:[0.4615, 0.7692], phi:[0.4615]] | t^2.308 + t^2.538 + t^3. + 2*t^3.231 + t^3.462 + t^3.692 + 2*t^3.923 + 2*t^4.154 + t^4.385 + 2*t^4.615 + t^4.846 + t^5.077 + t^5.308 + 2*t^5.538 + t^5.769 - t^4.385/y - t^4.385*y | detail | {a: 1761/2704, c: 541/676, M1: 14/13, M2: 10/13, M3: 1, M4: 11/13, M5: 15/13, M6: 14/13, q1: 7/13, q2: 5/13, qb1: 6/13, qb2: 10/13, phi1: 6/13} |
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 |
---|---|---|---|---|---|---|---|---|---|
953 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}^{2}$ | 0.696 | 0.8516 | 0.8172 | [M:[1.0191, 0.9426, 1.0, 0.9617, 1.0383], q:[0.5096, 0.4713], qb:[0.4904, 0.567], phi:[0.4904]] | t^2.828 + t^2.885 + t^2.943 + t^3. + t^3.057 + t^3.115 + t^3.23 + t^4.299 + t^4.356 + 2*t^4.414 + t^4.471 + t^4.529 + t^4.586 + t^4.644 + t^4.701 + t^4.873 + t^5.655 + t^5.77 + t^5.828 + 2*t^5.885 + t^5.943 - t^6. - t^4.471/y - t^4.471*y | detail |