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 |
---|---|---|---|---|---|---|---|---|---|
1194 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ | 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]] | [M:[[16], [14], [-16], [-16], [-4], [14]], q:[[-1], [-23]], qb:[[7], [9]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{5}$, ${ }q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{6}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}M_{6}$ | ${}$ | -2 | 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. + 3*t^6.152 + t^6.304 + 4*t^6.562 + 2*t^6.608 + t^6.714 + 2*t^6.866 + 2*t^6.912 + 4*t^7.018 + t^7.17 + t^7.322 + 3*t^7.474 + t^7.625 + t^7.731 + 5*t^7.883 + 3*t^7.929 + 2*t^8.035 - 5*t^8.187 + t^8.233 + 4*t^8.339 + t^8.537 - 4*t^8.643 + 5*t^8.749 + 3*t^8.795 + t^8.901 + t^8.947 - t^4.17/y - (2*t^6.357)/y - t^6.813/y + t^7.375/y + t^7.526/y + (4*t^7.83)/y + (2*t^7.982)/y + t^8.286/y - t^8.544/y + (2*t^8.696)/y + (2*t^8.848)/y - t^4.17*y - 2*t^6.357*y - t^6.813*y + t^7.375*y + t^7.526*y + 4*t^7.83*y + 2*t^7.982*y + t^8.286*y - t^8.544*y + 2*t^8.696*y + 2*t^8.848*y | 2*g1^14*t^2.187 + (2*t^2.643)/g1^16 + g1^16*t^3.357 + g1^6*t^3.509 + t^3.661/g1^4 + t^3.965/g1^24 + t^4.269/g1^44 + 3*g1^28*t^4.375 + g1^18*t^4.526 + g1^8*t^4.678 + (3*t^4.83)/g1^2 + t^4.982/g1^12 + (2*t^5.286)/g1^32 + g1^30*t^5.544 + 3*g1^20*t^5.696 + g1^10*t^5.848 - 2*t^6. + (3*t^6.152)/g1^10 + t^6.304/g1^20 + 4*g1^42*t^6.562 + (2*t^6.608)/g1^40 + g1^32*t^6.714 + 2*g1^22*t^6.866 + (2*t^6.912)/g1^60 + 4*g1^12*t^7.018 + g1^2*t^7.17 + t^7.322/g1^8 + (3*t^7.474)/g1^18 + t^7.625/g1^28 + g1^44*t^7.731 + 5*g1^34*t^7.883 + (3*t^7.929)/g1^48 + 2*g1^24*t^8.035 - 5*g1^14*t^8.187 + t^8.233/g1^68 + 4*g1^4*t^8.339 + t^8.537/g1^88 - (4*t^8.643)/g1^16 + 5*g1^56*t^8.749 + (3*t^8.795)/g1^26 + g1^46*t^8.901 + t^8.947/g1^36 - (g1^2*t^4.17)/y - (2*g1^16*t^6.357)/y - t^6.813/(g1^14*y) + (g1^28*t^7.375)/y + (g1^18*t^7.526)/y + (4*t^7.83)/(g1^2*y) + (2*t^7.982)/(g1^12*y) + t^8.286/(g1^32*y) - (g1^30*t^8.544)/y + (2*g1^20*t^8.696)/y + (2*g1^10*t^8.848)/y - g1^2*t^4.17*y - 2*g1^16*t^6.357*y - (t^6.813*y)/g1^14 + g1^28*t^7.375*y + g1^18*t^7.526*y + (4*t^7.83*y)/g1^2 + (2*t^7.982*y)/g1^12 + (t^8.286*y)/g1^32 - g1^30*t^8.544*y + 2*g1^20*t^8.696*y + 2*g1^10*t^8.848*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 |
---|---|---|---|---|---|---|---|---|
2241 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{3}M_{7}$ | 0.6371 | 0.78 | 0.8168 | [M:[1.1016, 0.7139, 0.8984, 0.8984, 1.2246, 0.7139, 1.1016], q:[0.8062, 0.5415], qb:[0.3569, 0.7446], phi:[0.3877]] | 2*t^2.142 + t^2.695 + 2*t^3.305 + t^3.489 + t^3.674 + t^4.043 + 3*t^4.283 + t^4.412 + t^4.468 + t^4.652 + t^4.837 + t^5.021 + 3*t^5.446 + 3*t^5.631 + t^5.815 - 2*t^6. - t^4.163/y - t^4.163*y | detail | |
2243 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{7}q_{1}q_{2}$ | 0.6679 | 0.8375 | 0.7975 | [M:[1.1174, 0.7277, 0.8826, 0.8826, 1.2207, 0.7277, 0.6761], q:[0.8052, 0.5188], qb:[0.3639, 0.7535], phi:[0.3897]] | t^2.028 + 2*t^2.183 + 2*t^2.648 + t^3.352 + t^3.507 + t^3.662 + t^4.056 + 2*t^4.211 + t^4.282 + 3*t^4.366 + t^4.521 + 3*t^4.676 + 3*t^4.831 + t^4.986 + 2*t^5.296 + t^5.38 + 2*t^5.535 + 4*t^5.69 + t^5.845 - 2*t^6. - t^4.169/y - t^4.169*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 |
---|---|---|---|---|---|---|---|---|---|
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]] | 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. - t^4.172/y - t^4.172*y | detail |