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 |
---|---|---|---|---|---|---|---|---|---|
725 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ | 0.6274 | 0.7602 | 0.8253 | [M:[1.1249, 0.7343, 0.8751, 0.8751, 1.2188], q:[0.8047, 0.5079], qb:[0.3672, 0.7578], phi:[0.3906]] | [M:[[16], [14], [-16], [-16], [-4]], q:[[-1], [-23]], qb:[[7], [9]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$ | ${}$ | -1 | t^2.203 + 2*t^2.625 + t^3.375 + t^3.516 + t^3.656 + t^3.797 + t^3.938 + t^4.219 + t^4.406 + t^4.547 + t^4.687 + t^4.828 + t^4.969 + 2*t^5.25 + 2*t^5.719 - t^6. + 2*t^6.141 + t^6.281 + t^6.422 + 2*t^6.563 + t^6.609 + 2*t^6.844 + t^6.89 + t^7.031 + t^7.172 + 2*t^7.313 + 2*t^7.453 + 2*t^7.594 + t^7.735 + 3*t^7.876 + 2*t^7.921 + t^8.016 + t^8.062 + t^8.157 - 2*t^8.203 + 2*t^8.344 + t^8.439 - 3*t^8.625 + 2*t^8.766 + t^8.812 + t^8.907 - t^4.172/y - t^6.375/y - t^6.797/y + t^7.547/y + (2*t^7.828)/y + t^7.969/y + t^8.25/y + t^8.719/y + t^8.859/y - t^4.172*y - t^6.375*y - t^6.797*y + t^7.547*y + 2*t^7.828*y + t^7.969*y + t^8.25*y + t^8.719*y + t^8.859*y | g1^14*t^2.203 + (2*t^2.625)/g1^16 + g1^16*t^3.375 + g1^6*t^3.516 + t^3.656/g1^4 + t^3.797/g1^14 + t^3.938/g1^24 + t^4.219/g1^44 + g1^28*t^4.406 + g1^18*t^4.547 + g1^8*t^4.687 + t^4.828/g1^2 + t^4.969/g1^12 + (2*t^5.25)/g1^32 + 2*g1^20*t^5.719 - t^6. + (2*t^6.141)/g1^10 + t^6.281/g1^20 + t^6.422/g1^30 + (2*t^6.563)/g1^40 + g1^42*t^6.609 + (2*t^6.844)/g1^60 + g1^22*t^6.89 + g1^12*t^7.031 + g1^2*t^7.172 + (2*t^7.313)/g1^8 + (2*t^7.453)/g1^18 + (2*t^7.594)/g1^28 + t^7.735/g1^38 + (3*t^7.876)/g1^48 + 2*g1^34*t^7.921 + t^8.016/g1^58 + g1^24*t^8.062 + t^8.157/g1^68 - 2*g1^14*t^8.203 + 2*g1^4*t^8.344 + t^8.439/g1^88 - (3*t^8.625)/g1^16 + (2*t^8.766)/g1^26 + g1^56*t^8.812 + t^8.907/g1^36 - (g1^2*t^4.172)/y - (g1^16*t^6.375)/y - t^6.797/(g1^14*y) + (g1^18*t^7.547)/y + (2*t^7.828)/(g1^2*y) + t^7.969/(g1^12*y) + t^8.25/(g1^32*y) + (g1^20*t^8.719)/y + (g1^10*t^8.859)/y - g1^2*t^4.172*y - g1^16*t^6.375*y - (t^6.797*y)/g1^14 + g1^18*t^7.547*y + (2*t^7.828*y)/g1^2 + (t^7.969*y)/g1^12 + (t^8.25*y)/g1^32 + g1^20*t^8.719*y + g1^10*t^8.859*y |
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 |
---|---|---|---|---|---|---|---|---|
1193 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$ | 0.6169 | 0.7419 | 0.8315 | [M:[1.1066, 0.7183, 0.8934, 0.8934, 1.2233, 1.1066], q:[0.8058, 0.5342], qb:[0.3591, 0.7475], phi:[0.3883]] | t^2.155 + t^2.68 + 2*t^3.32 + t^3.495 + t^3.67 + t^3.845 + t^4.02 + t^4.31 + t^4.37 + t^4.485 + t^4.66 + t^5.01 + t^5.475 + 2*t^5.65 - t^6. - t^4.165/y - t^4.165*y | detail | |
1194 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.6471 | 0.7965 | 0.8125 | [M:[1.119, 0.7291, 0.881, 0.881, 1.2203, 0.7291], q:[0.8051, 0.5165], qb:[0.3645, 0.7544], phi:[0.3899]] | 2*t^2.187 + 2*t^2.643 + t^3.357 + t^3.509 + t^3.661 + t^3.965 + t^4.269 + 3*t^4.375 + t^4.526 + t^4.678 + 3*t^4.83 + t^4.982 + 2*t^5.286 + t^5.544 + 3*t^5.696 + t^5.848 - 2*t^6. - t^4.17/y - t^4.17*y | detail | |
1982 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}q_{1}q_{2}$ | 0.6481 | 0.8005 | 0.8096 | [M:[1.122, 0.7318, 0.878, 0.878, 1.2195, 0.6831], q:[0.8049, 0.5121], qb:[0.3659, 0.7562], phi:[0.3903]] | t^2.049 + t^2.195 + 2*t^2.634 + t^3.366 + t^3.512 + t^3.658 + t^3.805 + t^4.098 + t^4.243 + t^4.245 + t^4.391 + t^4.537 + 3*t^4.683 + t^4.829 + t^4.975 + 2*t^5.268 + t^5.415 + t^5.562 + 3*t^5.708 + t^5.854 - t^6. - t^4.171/y - t^4.171*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 |
---|---|---|---|---|---|---|---|---|---|
435 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ | 0.645 | 0.7913 | 0.8151 | [M:[1.1221, 0.7318, 0.8779, 0.8779], q:[0.8049, 0.512], qb:[0.3659, 0.7562], phi:[0.3903]] | t^2.195 + t^2.342 + 2*t^2.634 + t^3.366 + t^3.512 + t^3.805 + t^3.951 + t^4.243 + t^4.391 + 2*t^4.537 + 2*t^4.683 + t^4.829 + 3*t^4.975 + 2*t^5.267 + 3*t^5.708 - t^6. - t^4.171/y - t^4.171*y | detail |