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 |
---|---|---|---|---|---|---|---|---|---|
794 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ | 0.7536 | 0.9338 | 0.807 | [M:[0.8465, 0.8465, 0.693, 1.0, 0.8465], q:[0.5, 0.6535], qb:[0.6535, 0.5], phi:[0.4233]] | [M:[[-2], [-2], [-4], [0], [-2]], q:[[0], [2]], qb:[[2], [0]], phi:[[-1]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{4}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ | ${}M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ | -3 | t^2.079 + 4*t^2.54 + t^3. + t^3.46 + t^4.158 + 3*t^4.27 + 4*t^4.619 + 4*t^4.73 + 11*t^5.079 + 3*t^5.191 + t^5.54 - 3*t^6. + t^6.237 + 3*t^6.349 - 3*t^6.46 + 4*t^6.698 + 12*t^6.809 + 11*t^7.158 + 15*t^7.27 + 21*t^7.619 + 8*t^7.73 - 6*t^8.079 - 4*t^8.191 + t^8.316 + 3*t^8.428 - 16*t^8.54 - 4*t^8.651 + 4*t^8.777 + 12*t^8.888 - t^4.27/y - t^6.349/y - (4*t^6.809)/y + (4*t^7.619)/y + (4*t^7.73)/y + (7*t^8.079)/y + t^8.191/y - t^8.428/y + (5*t^8.54)/y - (4*t^8.888)/y - t^4.27*y - t^6.349*y - 4*t^6.809*y + 4*t^7.619*y + 4*t^7.73*y + 7*t^8.079*y + t^8.191*y - t^8.428*y + 5*t^8.54*y - 4*t^8.888*y | t^2.079/g1^4 + (4*t^2.54)/g1^2 + t^3. + g1^2*t^3.46 + t^4.158/g1^8 + (3*t^4.27)/g1 + (4*t^4.619)/g1^6 + 4*g1*t^4.73 + (11*t^5.079)/g1^4 + 3*g1^3*t^5.191 + t^5.54/g1^2 - 3*t^6. + t^6.237/g1^12 + (3*t^6.349)/g1^5 - 3*g1^2*t^6.46 + (4*t^6.698)/g1^10 + (12*t^6.809)/g1^3 + (11*t^7.158)/g1^8 + (15*t^7.27)/g1 + (21*t^7.619)/g1^6 + 8*g1*t^7.73 - (6*t^8.079)/g1^4 - 4*g1^3*t^8.191 + t^8.316/g1^16 + (3*t^8.428)/g1^9 - (16*t^8.54)/g1^2 - 4*g1^5*t^8.651 + (4*t^8.777)/g1^14 + (12*t^8.888)/g1^7 - t^4.27/(g1*y) - t^6.349/(g1^5*y) - (4*t^6.809)/(g1^3*y) + (4*t^7.619)/(g1^6*y) + (4*g1*t^7.73)/y + (7*t^8.079)/(g1^4*y) + (g1^3*t^8.191)/y - t^8.428/(g1^9*y) + (5*t^8.54)/(g1^2*y) - (4*t^8.888)/(g1^7*y) - (t^4.27*y)/g1 - (t^6.349*y)/g1^5 - (4*t^6.809*y)/g1^3 + (4*t^7.619*y)/g1^6 + 4*g1*t^7.73*y + (7*t^8.079*y)/g1^4 + g1^3*t^8.191*y - (t^8.428*y)/g1^9 + (5*t^8.54*y)/g1^2 - (4*t^8.888*y)/g1^7 |
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 |
---|---|---|---|---|---|---|---|---|
1272 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{3}M_{6}$ | 0.7331 | 0.8939 | 0.8201 | [M:[0.8539, 0.8539, 0.7078, 1.0, 0.8539, 1.2922], q:[0.5, 0.6461], qb:[0.6461, 0.5], phi:[0.427]] | 4*t^2.562 + t^3. + t^3.438 + t^3.876 + 3*t^4.281 + 4*t^4.719 + 10*t^5.124 + 3*t^5.157 - 3*t^6. - t^4.281/y - t^4.281*y | detail | |
1273 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{4}^{2}$ + ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$ | 0.7674 | 0.9598 | 0.7995 | [M:[0.8347, 0.8347, 0.6694, 1.0, 0.8347, 0.8347], q:[0.5, 0.6653], qb:[0.6653, 0.5], phi:[0.4174]] | t^2.008 + 5*t^2.504 + t^3. + t^4.017 + 3*t^4.252 + 5*t^4.512 + 4*t^4.748 + 16*t^5.008 + 3*t^5.244 + t^5.504 - 7*t^6. - t^4.252/y - t^4.252*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 |
---|---|---|---|---|---|---|---|---|---|
508 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}q_{1}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ | 0.7904 | 0.9838 | 0.8034 | [M:[0.7619, 0.7619, 0.7619, 0.7619, 0.7619], q:[0.619, 0.619], qb:[0.619, 0.619], phi:[0.381]] | 6*t^2.286 + t^3.714 + 21*t^4.571 + 10*t^4.857 - 10*t^6. - t^4.143/y - t^4.143*y | detail | {a: 1859/2352, c: 1157/1176, M1: 16/21, M2: 16/21, M3: 16/21, M4: 16/21, M5: 16/21, q1: 13/21, q2: 13/21, qb1: 13/21, qb2: 13/21, phi1: 8/21} |