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 |
---|---|---|---|---|---|---|---|---|---|
4800 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.67 | 0.8364 | 0.8011 | [M:[1.0216, 0.8201, 1.0216, 0.8201, 1.1799, 0.7194, 0.9784, 1.0791], q:[0.5683, 0.4101], qb:[0.4101, 0.7698], phi:[0.4604]] | [M:[[-22], [-2], [-22], [-2], [2], [8], [22], [12]], q:[[23], [-1]], qb:[[-1], [3]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{2}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{3}$, ${ }M_{8}$, ${ }M_{5}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{6}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{4}M_{7}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{8}$, ${ }M_{4}M_{8}$, ${ }M_{7}^{2}$ | ${}M_{3}M_{7}$, ${ }M_{6}\phi_{1}q_{2}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$ | 0 | t^2.158 + 2*t^2.46 + t^2.935 + t^3.065 + t^3.237 + t^3.54 + 2*t^3.842 + t^4.014 + 3*t^4.316 + 2*t^4.619 + t^4.791 + 3*t^4.921 + t^5.093 + t^5.223 + 3*t^5.396 + 3*t^5.698 + t^5.87 + t^6.13 + 2*t^6.172 + 3*t^6.302 + 4*t^6.475 + 6*t^6.777 + 2*t^6.949 + 2*t^7.079 + 5*t^7.252 + 3*t^7.381 + 4*t^7.554 + 2*t^7.684 + t^7.726 + 5*t^7.856 - t^7.986 + 2*t^8.028 + 3*t^8.158 + t^8.288 + 5*t^8.331 - 4*t^8.46 + t^8.59 + 7*t^8.633 + 2*t^8.763 + 2*t^8.805 + 3*t^8.935 - t^4.381/y - t^6.54/y - t^6.842/y + t^7.316/y - t^7.446/y + (2*t^7.619)/y + (2*t^7.921)/y + t^8.093/y + (2*t^8.223)/y + (3*t^8.396)/y + (2*t^8.525)/y + (2*t^8.698)/y - t^4.381*y - t^6.54*y - t^6.842*y + t^7.316*y - t^7.446*y + 2*t^7.619*y + 2*t^7.921*y + t^8.093*y + 2*t^8.223*y + 3*t^8.396*y + 2*t^8.525*y + 2*t^8.698*y | g1^8*t^2.158 + (2*t^2.46)/g1^2 + g1^22*t^2.935 + t^3.065/g1^22 + g1^12*t^3.237 + g1^2*t^3.54 + (2*t^3.842)/g1^8 + g1^26*t^4.014 + 3*g1^16*t^4.316 + 2*g1^6*t^4.619 + g1^40*t^4.791 + (3*t^4.921)/g1^4 + g1^30*t^5.093 + t^5.223/g1^14 + 3*g1^20*t^5.396 + 3*g1^10*t^5.698 + g1^44*t^5.87 + t^6.13/g1^44 + 2*g1^34*t^6.172 + (3*t^6.302)/g1^10 + 4*g1^24*t^6.475 + 6*g1^14*t^6.777 + 2*g1^48*t^6.949 + 2*g1^4*t^7.079 + 5*g1^38*t^7.252 + (3*t^7.381)/g1^6 + 4*g1^28*t^7.554 + (2*t^7.684)/g1^16 + g1^62*t^7.726 + 5*g1^18*t^7.856 - t^7.986/g1^26 + 2*g1^52*t^8.028 + 3*g1^8*t^8.158 + t^8.288/g1^36 + 5*g1^42*t^8.331 - (4*t^8.46)/g1^2 + t^8.59/g1^46 + 7*g1^32*t^8.633 + (2*t^8.763)/g1^12 + 2*g1^66*t^8.805 + 3*g1^22*t^8.935 - t^4.381/(g1^6*y) - (g1^2*t^6.54)/y - t^6.842/(g1^8*y) + (g1^16*t^7.316)/y - t^7.446/(g1^28*y) + (2*g1^6*t^7.619)/y + (2*t^7.921)/(g1^4*y) + (g1^30*t^8.093)/y + (2*t^8.223)/(g1^14*y) + (3*g1^20*t^8.396)/y + (2*t^8.525)/(g1^24*y) + (2*g1^10*t^8.698)/y - (t^4.381*y)/g1^6 - g1^2*t^6.54*y - (t^6.842*y)/g1^8 + g1^16*t^7.316*y - (t^7.446*y)/g1^28 + 2*g1^6*t^7.619*y + (2*t^7.921*y)/g1^4 + g1^30*t^8.093*y + (2*t^8.223*y)/g1^14 + 3*g1^20*t^8.396*y + (2*t^8.525*y)/g1^24 + 2*g1^10*t^8.698*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 |
---|---|---|---|---|---|---|---|---|
6408 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ + ${ }M_{9}\phi_{1}q_{2}^{2}$ | 0.6901 | 0.8745 | 0.7891 | [M:[1.0269, 0.8206, 1.0269, 0.8206, 1.1794, 0.7175, 0.9731, 1.0762, 0.7175], q:[0.5628, 0.4103], qb:[0.4103, 0.7691], phi:[0.4619]] | 2*t^2.152 + 2*t^2.462 + t^2.919 + t^3.081 + t^3.229 + t^3.538 + t^3.848 + t^3.995 + 5*t^4.305 + 4*t^4.614 + t^4.762 + 3*t^4.924 + 2*t^5.072 + 2*t^5.233 + 4*t^5.381 + 4*t^5.691 + t^5.838 - t^4.386/y - t^4.386*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 |
---|---|---|---|---|---|---|---|---|---|
2642 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}M_{5}$ + ${ }M_{1}M_{7}$ | 0.6779 | 0.8482 | 0.7993 | [M:[0.9951, 0.8177, 0.9951, 0.8177, 1.1823, 0.7291, 1.0049], q:[0.596, 0.4089], qb:[0.4089, 0.7734], phi:[0.4532]] | t^2.187 + 2*t^2.453 + t^2.719 + t^2.985 + t^3.015 + t^3.547 + 2*t^3.813 + t^4.108 + 3*t^4.374 + 2*t^4.64 + 4*t^4.906 + t^4.936 + 3*t^5.172 + t^5.202 + t^5.438 + 2*t^5.468 + t^5.705 + 2*t^5.734 + t^5.971 - t^4.36/y - t^4.36*y | detail | {a: 93927043/138556848, c: 58758829/69278424, M1: 5072/5097, M2: 4168/5097, M3: 5072/5097, M4: 4168/5097, M5: 6026/5097, M6: 3716/5097, M7: 5122/5097, q1: 3038/5097, q2: 2084/5097, qb1: 2084/5097, qb2: 1314/1699, phi1: 770/1699} |