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 |
---|---|---|---|---|---|---|---|---|---|
56618 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.6901 | 0.8745 | 0.7891 | [M:[1.1794, 1.0269, 0.8206, 0.8206, 0.7175, 0.7175, 1.0762], q:[0.4103, 0.4103], qb:[0.5628, 0.7691], phi:[0.4619]] | [M:[[2], [-22], [-2], [-2], [8], [8], [12]], q:[[-1], [-1]], qb:[[23], [3]], phi:[[-6]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{5}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }M_{7}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{4}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{4}M_{7}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$ | ${}M_{1}M_{4}$, ${ }M_{6}\phi_{1}q_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$ | 0 | 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 + 3*t^6.148 + t^6.162 + t^6.309 + 9*t^6.457 + 9*t^6.767 + 3*t^6.915 - t^6.928 + 4*t^7.076 + 7*t^7.224 + 4*t^7.386 + 8*t^7.534 + t^7.681 + 8*t^7.843 + 3*t^7.991 - t^8.005 + 8*t^8.3 + 2*t^8.314 - 5*t^8.462 + 15*t^8.61 + t^8.623 + 2*t^8.758 - t^8.771 + 11*t^8.919 - t^4.386/y - (2*t^6.538)/y - t^6.848/y + (2*t^7.305)/y - t^7.466/y + (4*t^7.614)/y + (2*t^7.924)/y + (2*t^8.072)/y + (4*t^8.233)/y + (4*t^8.381)/y + (2*t^8.543)/y + t^8.691/y - t^4.386*y - 2*t^6.538*y - t^6.848*y + 2*t^7.305*y - t^7.466*y + 4*t^7.614*y + 2*t^7.924*y + 2*t^8.072*y + 4*t^8.233*y + 4*t^8.381*y + 2*t^8.543*y + t^8.691*y | 2*g1^8*t^2.152 + (2*t^2.462)/g1^2 + g1^22*t^2.919 + t^3.081/g1^22 + g1^12*t^3.229 + g1^2*t^3.538 + t^3.848/g1^8 + g1^26*t^3.995 + 5*g1^16*t^4.305 + 4*g1^6*t^4.614 + g1^40*t^4.762 + (3*t^4.924)/g1^4 + 2*g1^30*t^5.072 + (2*t^5.233)/g1^14 + 4*g1^20*t^5.381 + 4*g1^10*t^5.691 + g1^44*t^5.838 + 3*g1^34*t^6.148 + t^6.162/g1^44 + t^6.309/g1^10 + 9*g1^24*t^6.457 + 9*g1^14*t^6.767 + 3*g1^48*t^6.915 - t^6.928/g1^30 + 4*g1^4*t^7.076 + 7*g1^38*t^7.224 + (4*t^7.386)/g1^6 + 8*g1^28*t^7.534 + g1^62*t^7.681 + 8*g1^18*t^7.843 + 3*g1^52*t^7.991 - t^8.005/g1^26 + 8*g1^42*t^8.3 + (2*t^8.314)/g1^36 - (5*t^8.462)/g1^2 + 15*g1^32*t^8.61 + t^8.623/g1^46 + 2*g1^66*t^8.758 - t^8.771/g1^12 + 11*g1^22*t^8.919 - t^4.386/(g1^6*y) - (2*g1^2*t^6.538)/y - t^6.848/(g1^8*y) + (2*g1^16*t^7.305)/y - t^7.466/(g1^28*y) + (4*g1^6*t^7.614)/y + (2*t^7.924)/(g1^4*y) + (2*g1^30*t^8.072)/y + (4*t^8.233)/(g1^14*y) + (4*g1^20*t^8.381)/y + (2*t^8.543)/(g1^24*y) + (g1^10*t^8.691)/y - (t^4.386*y)/g1^6 - 2*g1^2*t^6.538*y - (t^6.848*y)/g1^8 + 2*g1^16*t^7.305*y - (t^7.466*y)/g1^28 + 4*g1^6*t^7.614*y + (2*t^7.924*y)/g1^4 + 2*g1^30*t^8.072*y + (4*t^8.233*y)/g1^14 + 4*g1^20*t^8.381*y + (2*t^8.543*y)/g1^24 + g1^10*t^8.691*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 |
---|---|---|---|---|---|---|---|---|
58900 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{8}\phi_{1}q_{1}^{2}$ | 0.7103 | 0.9129 | 0.778 | [M:[1.1789, 1.0318, 0.8211, 0.8211, 0.7157, 0.7157, 1.0735, 0.7157], q:[0.4105, 0.4105], qb:[0.5576, 0.7684], phi:[0.4632]] | 3*t^2.147 + 2*t^2.463 + t^2.904 + t^3.096 + t^3.221 + t^3.537 + t^3.978 + 8*t^4.294 + 6*t^4.61 + t^4.735 + 3*t^4.926 + 3*t^5.052 + 3*t^5.243 + 5*t^5.368 + 5*t^5.684 + t^5.809 - 2*t^6. - t^4.39/y - t^4.39*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 |
---|---|---|---|---|---|---|---|---|---|
54902 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{5}\phi_{1}q_{1}q_{2}$ + ${ }M_{5}\phi_{1}q_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ | 0.6977 | 0.8853 | 0.7881 | [M:[1.1817, 1.0013, 0.8183, 0.8183, 0.7268, 0.7268], q:[0.4092, 0.4092], qb:[0.5895, 0.7725], phi:[0.4549]] | 2*t^2.18 + 2*t^2.455 + t^2.729 + t^2.996 + t^3.004 + t^3.545 + t^3.82 + t^4.086 + 5*t^4.361 + 4*t^4.635 + t^4.902 + 5*t^4.91 + 2*t^5.176 + 4*t^5.184 + 2*t^5.451 + t^5.459 + 3*t^5.725 + t^5.733 + t^5.992 - t^4.365/y - t^4.365*y | detail | {a: 52048525/74596056, c: 8255182/9324507, M1: 6250/5289, M2: 5296/5289, M3: 4328/5289, M4: 4328/5289, M5: 3844/5289, M6: 3844/5289, q1: 2164/5289, q2: 2164/5289, qb1: 3118/5289, qb2: 1362/1763, phi1: 802/1763} |