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 |
---|---|---|---|---|---|---|---|---|---|
3264 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6412 | 0.7986 | 0.8029 | [X:[1.6182], M:[0.8546, 0.6726, 1.1454, 0.3818, 0.7181], q:[0.4045, 0.7409], qb:[0.45, 0.8773], phi:[0.3818]] | [X:[[4]], M:[[12], [-28], [-12], [-4], [-18]], q:[[1], [-13]], qb:[[11], [17]], phi:[[-4]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }\phi_{1}q_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}^{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{5}$, ${ }M_{2}\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{5}\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | ${}\phi_{1}^{3}q_{1}\tilde{q}_{1}$ | 0 | t^2.018 + t^2.154 + t^2.291 + t^2.564 + t^3.436 + 2*t^3.573 + t^3.709 + t^3.846 + t^4.036 + t^4.172 + 2*t^4.309 + t^4.445 + 2*t^4.582 + t^4.718 + 2*t^4.855 + t^5.128 + t^5.454 + 3*t^5.591 + 3*t^5.727 + 2*t^5.864 + t^6.054 + t^6.136 + t^6.19 + 2*t^6.326 + t^6.409 + 2*t^6.463 + 3*t^6.599 + 2*t^6.736 + 4*t^6.872 + 2*t^7.009 + 4*t^7.145 + t^7.418 + t^7.472 - t^7.555 + 3*t^7.608 + t^7.691 + 4*t^7.745 + 4*t^7.881 + t^8.018 + t^8.071 + t^8.154 + t^8.208 + 2*t^8.344 + 2*t^8.481 - 2*t^8.564 + 4*t^8.617 + 3*t^8.754 - t^8.837 + 5*t^8.89 + t^8.973 - t^4.145/y - t^6.163/y - t^6.3/y - t^6.436/y + t^7.172/y + t^7.309/y + t^7.445/y + t^7.582/y + t^7.718/y + (2*t^7.855)/y + t^7.991/y + t^8.128/y - t^8.181/y - t^8.318/y - t^8.454/y + (2*t^8.591)/y + (3*t^8.727)/y + (4*t^8.864)/y - t^4.145*y - t^6.163*y - t^6.3*y - t^6.436*y + t^7.172*y + t^7.309*y + t^7.445*y + t^7.582*y + t^7.718*y + 2*t^7.855*y + t^7.991*y + t^8.128*y - t^8.181*y - t^8.318*y - t^8.454*y + 2*t^8.591*y + 3*t^8.727*y + 4*t^8.864*y | t^2.018/g1^28 + t^2.154/g1^18 + t^2.291/g1^8 + g1^12*t^2.564 + t^3.436/g1^12 + (2*t^3.573)/g1^2 + g1^8*t^3.709 + g1^18*t^3.846 + t^4.036/g1^56 + t^4.172/g1^46 + (2*t^4.309)/g1^36 + t^4.445/g1^26 + (2*t^4.582)/g1^16 + t^4.718/g1^6 + 2*g1^4*t^4.855 + g1^24*t^5.128 + t^5.454/g1^40 + (3*t^5.591)/g1^30 + (3*t^5.727)/g1^20 + (2*t^5.864)/g1^10 + t^6.054/g1^84 + g1^10*t^6.136 + t^6.19/g1^74 + (2*t^6.326)/g1^64 + g1^30*t^6.409 + (2*t^6.463)/g1^54 + (3*t^6.599)/g1^44 + (2*t^6.736)/g1^34 + (4*t^6.872)/g1^24 + (2*t^7.009)/g1^14 + (4*t^7.145)/g1^4 + g1^16*t^7.418 + t^7.472/g1^68 - g1^26*t^7.555 + (3*t^7.608)/g1^58 + g1^36*t^7.691 + (4*t^7.745)/g1^48 + (4*t^7.881)/g1^38 + t^8.018/g1^28 + t^8.071/g1^112 + t^8.154/g1^18 + t^8.208/g1^102 + (2*t^8.344)/g1^92 + (2*t^8.481)/g1^82 - 2*g1^12*t^8.564 + (4*t^8.617)/g1^72 + (3*t^8.754)/g1^62 - g1^32*t^8.837 + (5*t^8.89)/g1^52 + g1^42*t^8.973 - t^4.145/(g1^4*y) - t^6.163/(g1^32*y) - t^6.3/(g1^22*y) - t^6.436/(g1^12*y) + t^7.172/(g1^46*y) + t^7.309/(g1^36*y) + t^7.445/(g1^26*y) + t^7.582/(g1^16*y) + t^7.718/(g1^6*y) + (2*g1^4*t^7.855)/y + (g1^14*t^7.991)/y + (g1^24*t^8.128)/y - t^8.181/(g1^60*y) - t^8.318/(g1^50*y) - t^8.454/(g1^40*y) + (2*t^8.591)/(g1^30*y) + (3*t^8.727)/(g1^20*y) + (4*t^8.864)/(g1^10*y) - (t^4.145*y)/g1^4 - (t^6.163*y)/g1^32 - (t^6.3*y)/g1^22 - (t^6.436*y)/g1^12 + (t^7.172*y)/g1^46 + (t^7.309*y)/g1^36 + (t^7.445*y)/g1^26 + (t^7.582*y)/g1^16 + (t^7.718*y)/g1^6 + 2*g1^4*t^7.855*y + g1^14*t^7.991*y + g1^24*t^8.128*y - (t^8.181*y)/g1^60 - (t^8.318*y)/g1^50 - (t^8.454*y)/g1^40 + (2*t^8.591*y)/g1^30 + (3*t^8.727*y)/g1^20 + (4*t^8.864*y)/g1^10 |
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 |
---|---|---|---|---|---|---|---|---|
3691 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{2}X_{2}$ | 0.6406 | 0.7956 | 0.8052 | [X:[1.62, 1.3401], M:[0.86, 0.6599, 1.14, 0.38, 0.7099, 0.7099], q:[0.405, 0.735], qb:[0.455, 0.8851], phi:[0.38]] | 2*t^2.13 + t^2.28 + t^2.58 + t^3.42 + 2*t^3.57 + t^3.72 + t^4.02 + 3*t^4.26 + 2*t^4.41 + t^4.56 + 2*t^4.71 + 2*t^4.86 + t^5.16 + 2*t^5.55 + 4*t^5.7 + 2*t^5.85 - t^6. - t^4.14/y - t^4.14*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 |
---|---|---|---|---|---|---|---|---|---|
2751 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6414 | 0.7996 | 0.8022 | [X:[1.6177], M:[0.8532, 0.676, 1.1468, 0.3823, 0.7046], q:[0.3966, 0.7502], qb:[0.4565, 0.8675], phi:[0.3823]] | t^2.028 + t^2.114 + t^2.294 + t^2.559 + t^3.441 + t^3.527 + t^3.62 + t^3.706 + t^3.792 + t^4.056 + t^4.142 + t^4.228 + t^4.322 + t^4.408 + 2*t^4.587 + t^4.673 + 2*t^4.853 + t^5.119 + t^5.468 + 2*t^5.554 + t^5.641 + t^5.648 + 2*t^5.734 + 2*t^5.82 + t^5.906 - t^6. - t^4.147/y - t^4.147*y | detail |