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 |
---|---|---|---|---|---|---|---|---|---|
46339 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.5686 | 0.6775 | 0.8392 | [M:[1.0, 0.8576, 1.2569], q:[0.8281, 0.8003], qb:[0.3142, 0.5712], phi:[0.3715]] | [M:[[0], [-10], [4]], q:[[9], [-7]], qb:[[1], [5]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$ | ${}$ | -1 | t^2.573 + t^2.656 + t^3. + t^3.344 + 2*t^3.771 + t^4.115 + t^4.198 + t^4.542 + t^4.885 + t^5.146 + t^5.313 + t^5.917 - t^6. + t^6.344 + t^6.427 + t^6.687 + t^6.771 + t^6.854 + t^7.115 + t^7.198 + t^7.458 + 2*t^7.542 + t^7.719 + t^7.885 + 2*t^7.969 + t^8.313 + t^8.396 + t^8.489 - 2*t^8.573 - t^8.656 + t^8.74 + t^8.917 - t^4.115/y - t^6.687/y + t^7.542/y + t^8.229/y + t^8.573/y + t^8.656/y + t^8.917/y - t^4.115*y - t^6.687*y + t^7.542*y + t^8.229*y + t^8.573*y + t^8.656*y + t^8.917*y | t^2.573/g1^10 + g1^6*t^2.656 + t^3. + t^3.344/g1^6 + 2*g1^4*t^3.771 + t^4.115/g1^2 + g1^14*t^4.198 + g1^8*t^4.542 + g1^2*t^4.885 + t^5.146/g1^20 + g1^12*t^5.313 + t^5.917/g1^16 - t^6. + t^6.344/g1^6 + g1^10*t^6.427 + t^6.687/g1^12 + g1^4*t^6.771 + g1^20*t^6.854 + t^7.115/g1^2 + g1^14*t^7.198 + t^7.458/g1^8 + 2*g1^8*t^7.542 + t^7.719/g1^30 + g1^2*t^7.885 + 2*g1^18*t^7.969 + g1^12*t^8.313 + g1^28*t^8.396 + t^8.489/g1^26 - (2*t^8.573)/g1^10 - g1^6*t^8.656 + g1^22*t^8.74 + t^8.917/g1^16 - t^4.115/(g1^2*y) - t^6.687/(g1^12*y) + (g1^8*t^7.542)/y + t^8.229/(g1^4*y) + t^8.573/(g1^10*y) + (g1^6*t^8.656)/y + t^8.917/(g1^16*y) - (t^4.115*y)/g1^2 - (t^6.687*y)/g1^12 + g1^8*t^7.542*y + (t^8.229*y)/g1^4 + (t^8.573*y)/g1^10 + g1^6*t^8.656*y + (t^8.917*y)/g1^16 |
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 |
---|---|---|---|---|---|---|---|---|
46759 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 0.5684 | 0.6777 | 0.8386 | [M:[1.0, 0.875, 1.25], q:[0.8125, 0.8125], qb:[0.3125, 0.5625], phi:[0.375]] | 2*t^2.625 + t^3. + t^3.375 + 2*t^3.75 + 2*t^4.125 + t^4.5 + t^4.875 + 2*t^5.25 - t^4.125/y - t^4.125*y | detail | {a: 291/512, c: 347/512, M1: 1, M2: 7/8, M3: 5/4, q1: 13/16, q2: 13/16, qb1: 5/16, qb2: 9/16, phi1: 3/8} |
46404 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{1}$ | 0.5797 | 0.6978 | 0.8308 | [M:[1.0, 0.8894, 1.2442, 0.8663], q:[0.7995, 0.8226], qb:[0.3111, 0.5553], phi:[0.3779]] | 2*t^2.599 + t^2.668 + t^3. + 2*t^3.733 + t^4.064 + t^4.134 + t^4.465 + t^4.866 + 3*t^5.198 + t^5.267 + t^5.337 + t^5.599 - 2*t^6. - t^4.134/y - t^4.134*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 |
---|---|---|---|---|---|---|---|---|---|
46042 | SU2adj1nf2 | ${}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{1}^{2}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ | 0.588 | 0.713 | 0.8247 | [M:[1.0, 0.8478], q:[0.837, 0.7935], qb:[0.3152, 0.5761], phi:[0.3696]] | t^2.217 + t^2.543 + t^2.674 + t^3. + t^3.326 + t^3.783 + t^4.109 + t^4.239 + t^4.435 + t^4.565 + t^4.761 + 2*t^4.891 + t^5.087 + t^5.217 + t^5.348 + t^5.543 + t^5.87 - t^4.109/y - t^4.109*y | detail | {a: 1731/2944, c: 2099/2944, M1: 1, M2: 39/46, q1: 77/92, q2: 73/92, qb1: 29/92, qb2: 53/92, phi1: 17/46} |