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 |
---|---|---|---|---|---|---|---|---|---|
55061 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ | 0.6723 | 0.8258 | 0.8141 | [M:[1.0184, 1.0876, 1.0876, 0.9124, 0.8064, 0.9124], q:[0.4908, 0.4908], qb:[0.4217, 0.7719], phi:[0.4562]] | [M:[[-22], [4], [4], [-4], [14], [-4]], q:[[11], [11]], qb:[[-15], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{4}$, ${ }M_{6}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{1}\phi_{1}^{2}$ | ${}$ | -5 | t^2.419 + 3*t^2.737 + t^3.055 + 2*t^3.788 + t^3.899 + 2*t^4.106 + 3*t^4.313 + t^4.839 + 3*t^5.157 + 7*t^5.475 + t^5.793 - 5*t^6. + t^6.111 + 5*t^6.525 + 3*t^6.636 + 3*t^6.733 + 5*t^6.843 + t^6.954 + 6*t^7.051 - t^7.161 + t^7.258 - 3*t^7.369 + t^7.576 + t^7.797 + 7*t^7.894 + 2*t^8.005 + 4*t^8.101 + 13*t^8.212 - 3*t^8.419 + t^8.53 + 5*t^8.627 - 15*t^8.737 + t^8.848 - t^8.945 - t^4.369/y - t^6.788/y - t^7.106/y + t^7.313/y - t^7.424/y + t^7.631/y + t^7.949/y + (3*t^8.157)/y + (4*t^8.475)/y + (3*t^8.793)/y - t^4.369*y - t^6.788*y - t^7.106*y + t^7.313*y - t^7.424*y + t^7.631*y + t^7.949*y + 3*t^8.157*y + 4*t^8.475*y + 3*t^8.793*y | g1^14*t^2.419 + (3*t^2.737)/g1^4 + t^3.055/g1^22 + 2*g1^12*t^3.788 + t^3.899/g1^32 + (2*t^4.106)/g1^6 + 3*g1^20*t^4.313 + g1^28*t^4.839 + 3*g1^10*t^5.157 + (7*t^5.475)/g1^8 + t^5.793/g1^26 - 5*t^6. + t^6.111/g1^44 + 5*g1^8*t^6.525 + (3*t^6.636)/g1^36 + 3*g1^34*t^6.733 + (5*t^6.843)/g1^10 + t^6.954/g1^54 + 6*g1^16*t^7.051 - t^7.161/g1^28 + g1^42*t^7.258 - (3*t^7.369)/g1^2 + g1^24*t^7.576 + t^7.797/g1^64 + 7*g1^6*t^7.894 + (2*t^8.005)/g1^38 + 4*g1^32*t^8.101 + (13*t^8.212)/g1^12 - 3*g1^14*t^8.419 + t^8.53/g1^30 + 5*g1^40*t^8.627 - (15*t^8.737)/g1^4 + t^8.848/g1^48 - g1^22*t^8.945 - t^4.369/(g1^2*y) - (g1^12*t^6.788)/y - t^7.106/(g1^6*y) + (g1^20*t^7.313)/y - t^7.424/(g1^24*y) + (g1^2*t^7.631)/y + t^7.949/(g1^16*y) + (3*g1^10*t^8.157)/y + (4*t^8.475)/(g1^8*y) + (3*t^8.793)/(g1^26*y) - (t^4.369*y)/g1^2 - g1^12*t^6.788*y - (t^7.106*y)/g1^6 + g1^20*t^7.313*y - (t^7.424*y)/g1^24 + g1^2*t^7.631*y + (t^7.949*y)/g1^16 + 3*g1^10*t^8.157*y + (4*t^8.475*y)/g1^8 + (3*t^8.793*y)/g1^26 |
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 |
---|---|---|---|---|---|---|---|---|
56653 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{5}^{2}$ | 0.5778 | 0.7296 | 0.792 | [M:[0.7143, 1.1429, 1.1429, 0.8571, 1.0, 0.8571], q:[0.6429, 0.6429], qb:[0.2143, 0.7857], phi:[0.4286]] | t^2.143 + 4*t^2.571 + t^3. + 2*t^3.857 + 3*t^4.286 + 2*t^4.714 + 14*t^5.143 + 3*t^5.571 - 5*t^6. - t^4.286/y - t^4.286*y | detail | {a: 453/784, c: 143/196, M1: 5/7, M2: 8/7, M3: 8/7, M4: 6/7, M5: 1, M6: 6/7, q1: 9/14, q2: 9/14, qb1: 3/14, qb2: 11/14, phi1: 3/7} |
56657 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{2}M_{6}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ | 0.6929 | 0.866 | 0.8001 | [M:[1.0273, 1.086, 1.086, 0.914, 0.8008, 0.914, 0.6876], q:[0.4864, 0.4864], qb:[0.4277, 0.7715], phi:[0.457]] | t^2.063 + t^2.403 + 3*t^2.742 + t^3.082 + 2*t^3.774 + 2*t^4.113 + t^4.126 + 3*t^4.289 + t^4.465 + 4*t^4.805 + 4*t^5.145 + 7*t^5.484 + t^5.824 + 2*t^5.836 - 5*t^6. - t^4.371/y - t^4.371*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 |
---|---|---|---|---|---|---|---|---|---|
46846 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ | 0.6643 | 0.8125 | 0.8176 | [M:[1.0269, 1.086, 1.086, 0.914, 0.8011], q:[0.4866, 0.4866], qb:[0.4274, 0.7715], phi:[0.457]] | t^2.403 + 2*t^2.742 + t^3.081 + t^3.258 + 2*t^3.774 + t^3.935 + 2*t^4.113 + 3*t^4.29 + t^4.806 + 2*t^5.145 + 4*t^5.484 + t^5.661 - 3*t^6. - t^4.371/y - t^4.371*y | detail |