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 |
---|---|---|---|---|---|---|---|---|---|
55047 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6987 | 0.8598 | 0.8126 | [M:[1.0064, 0.7143, 0.9936, 1.0, 1.1429, 0.7078], q:[0.5, 0.4936], qb:[0.7857, 0.5064], phi:[0.4286]] | [M:[[1], [0], [-1], [0], [0], [-1]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{1}$, ${ }M_{5}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{3}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{5}$, ${ }M_{3}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$ | ${}$ | -1 | t^2.124 + t^2.143 + t^2.981 + t^3. + t^3.019 + t^3.429 + t^3.838 + 2*t^4.247 + 2*t^4.266 + 3*t^4.286 + t^4.305 + t^4.324 + t^5.104 + 2*t^5.124 + 2*t^5.143 + t^5.162 + t^5.552 + t^5.571 + t^5.961 - t^6. - t^6.019 + 2*t^6.371 + 3*t^6.39 + 4*t^6.409 + 4*t^6.429 + 2*t^6.448 + t^6.467 + t^6.819 - t^6.876 + 2*t^7.228 + 3*t^7.247 + 5*t^7.266 + 3*t^7.286 + 2*t^7.305 + t^7.324 + t^7.344 + 2*t^7.676 + t^7.695 + t^7.714 + 2*t^8.085 - t^8.124 - 3*t^8.143 - 2*t^8.162 - t^8.181 + 3*t^8.494 + 4*t^8.513 + 7*t^8.533 + 6*t^8.552 + 7*t^8.571 + 3*t^8.591 + 3*t^8.61 + t^8.629 + t^8.649 + t^8.942 - 3*t^8.981 - t^4.286/y - t^6.409/y - t^6.429/y + t^7.266/y + t^8.104/y + (2*t^8.124)/y + (3*t^8.143)/y + (2*t^8.162)/y - t^8.533/y + t^8.961/y + (2*t^8.981)/y - t^4.286*y - t^6.409*y - t^6.429*y + t^7.266*y + t^8.104*y + 2*t^8.124*y + 3*t^8.143*y + 2*t^8.162*y - t^8.533*y + t^8.961*y + 2*t^8.981*y | t^2.124/g1 + t^2.143 + t^2.981/g1 + t^3. + g1*t^3.019 + t^3.429 + t^3.838/g1 + (2*t^4.247)/g1^2 + (2*t^4.266)/g1 + 3*t^4.286 + g1*t^4.305 + g1^2*t^4.324 + t^5.104/g1^2 + (2*t^5.124)/g1 + 2*t^5.143 + g1*t^5.162 + t^5.552/g1 + t^5.571 + t^5.961/g1^2 - t^6. - g1*t^6.019 + (2*t^6.371)/g1^3 + (3*t^6.39)/g1^2 + (4*t^6.409)/g1 + 4*t^6.429 + 2*g1*t^6.448 + g1^2*t^6.467 + t^6.819/g1^2 - g1*t^6.876 + (2*t^7.228)/g1^3 + (3*t^7.247)/g1^2 + (5*t^7.266)/g1 + 3*t^7.286 + 2*g1*t^7.305 + g1^2*t^7.324 + g1^3*t^7.344 + (2*t^7.676)/g1^2 + t^7.695/g1 + t^7.714 + (2*t^8.085)/g1^3 - t^8.124/g1 - 3*t^8.143 - 2*g1*t^8.162 - g1^2*t^8.181 + (3*t^8.494)/g1^4 + (4*t^8.513)/g1^3 + (7*t^8.533)/g1^2 + (6*t^8.552)/g1 + 7*t^8.571 + 3*g1*t^8.591 + 3*g1^2*t^8.61 + g1^3*t^8.629 + g1^4*t^8.649 + t^8.942/g1^3 - (3*t^8.981)/g1 - t^4.286/y - t^6.409/(g1*y) - t^6.429/y + t^7.266/(g1*y) + t^8.104/(g1^2*y) + (2*t^8.124)/(g1*y) + (3*t^8.143)/y + (2*g1*t^8.162)/y - t^8.533/(g1^2*y) + t^8.961/(g1^2*y) + (2*t^8.981)/(g1*y) - t^4.286*y - (t^6.409*y)/g1 - t^6.429*y + (t^7.266*y)/g1 + (t^8.104*y)/g1^2 + (2*t^8.124*y)/g1 + 3*t^8.143*y + 2*g1*t^8.162*y - (t^8.533*y)/g1^2 + (t^8.961*y)/g1^2 + (2*t^8.981*y)/g1 |
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 |
---|---|---|---|---|---|---|---|---|
56726 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{7}$ | 0.7004 | 0.8649 | 0.8098 | [M:[1.0304, 0.7143, 0.9696, 1.0, 1.1429, 0.6839, 0.9696], q:[0.5, 0.4696], qb:[0.7857, 0.5304], phi:[0.4286]] | t^2.052 + t^2.143 + 2*t^2.909 + t^3. + t^3.429 + t^3.766 + 2*t^4.104 + 2*t^4.195 + 3*t^4.286 + t^4.377 + t^4.468 + 2*t^4.961 + 3*t^5.052 + t^5.143 + t^5.48 + t^5.571 + 3*t^5.818 + t^5.909 - 2*t^6. - t^4.286/y - t^4.286*y | detail | |
56725 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{7}$ | 0.6992 | 0.8599 | 0.8131 | [M:[0.9821, 0.7143, 1.0179, 1.0, 1.1429, 0.7321, 0.9821], q:[0.5, 0.5179], qb:[0.7857, 0.4821], phi:[0.4286]] | t^2.143 + t^2.196 + 2*t^2.946 + t^3. + t^3.429 + t^3.911 + t^4.179 + t^4.232 + 3*t^4.286 + 2*t^4.339 + 2*t^4.393 + 2*t^5.089 + 3*t^5.143 + t^5.196 + t^5.571 + t^5.625 + 2*t^5.893 - 2*t^6. - t^4.286/y - t^4.286*y | detail | {a: 30699/43904, c: 37755/43904, M1: 55/56, M2: 5/7, M3: 57/56, M4: 1, M5: 8/7, M6: 41/56, M7: 55/56, q1: 1/2, q2: 29/56, qb1: 11/14, qb2: 27/56, phi1: 3/7} |
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 |
---|---|---|---|---|---|---|---|---|---|
47038 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}^{2}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ | 0.6784 | 0.8212 | 0.826 | [M:[1.0, 0.7143, 1.0, 1.0, 1.1429], q:[0.5, 0.5], qb:[0.7857, 0.5], phi:[0.4286]] | t^2.143 + 3*t^3. + t^3.429 + 2*t^3.857 + 7*t^4.286 + 3*t^5.143 + t^5.571 - t^6. - t^4.286/y - t^4.286*y | detail | {a: 3723/5488, c: 4507/5488, M1: 1, M2: 5/7, M3: 1, M4: 1, M5: 8/7, q1: 1/2, q2: 1/2, qb1: 11/14, qb2: 1/2, phi1: 3/7} |