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 |
---|---|---|---|---|---|---|---|---|---|
58915 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{8}\phi_{1}\tilde{q}_{2}^{2}$ | 0.7361 | 0.9649 | 0.7628 | [M:[1.0564, 0.718, 0.8308, 1.1692, 0.8308, 0.6768, 0.6974, 0.718], q:[0.5179, 0.4257], qb:[0.7641, 0.4051], phi:[0.4718]] | [M:[[4], [-20], [-12], [12], [-12], [48], [14], [-20]], q:[[19], [-23]], qb:[[1], [11]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{8}$, ${ }M_{3}$, ${ }M_{5}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{7}^{2}$, ${ }M_{6}M_{8}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{7}M_{8}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}M_{6}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{5}$, ${ }M_{3}M_{8}$, ${ }M_{5}M_{8}$, ${ }M_{6}q_{1}\tilde{q}_{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{8}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{1}M_{8}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{1}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{8}q_{2}\tilde{q}_{1}$ | ${}$ | -2 | t^2.03 + t^2.092 + 2*t^2.154 + 2*t^2.492 + t^2.769 + t^2.831 + t^3.169 + t^3.569 + t^4.061 + t^4.123 + 4*t^4.184 + 3*t^4.246 + 3*t^4.308 + 3*t^4.523 + 2*t^4.585 + 4*t^4.646 + t^4.799 + 2*t^4.861 + 3*t^4.923 + 5*t^4.985 + t^5.2 + 3*t^5.261 + 4*t^5.323 + t^5.538 + 2*t^5.6 + 3*t^5.662 + t^5.723 - 2*t^6. + t^6.062 + t^6.091 + t^6.153 + 4*t^6.215 + 4*t^6.277 + 7*t^6.338 + 5*t^6.4 + 4*t^6.462 + 3*t^6.553 + 3*t^6.615 + 8*t^6.677 + 5*t^6.739 + 6*t^6.8 + t^6.83 + 2*t^6.892 + 5*t^6.953 + 9*t^7.015 + 6*t^7.077 + 8*t^7.139 + t^7.23 + 4*t^7.292 + 7*t^7.354 + 5*t^7.415 + 9*t^7.477 + t^7.568 + 3*t^7.63 + 4*t^7.692 + 7*t^7.754 + 7*t^7.816 + t^7.877 - t^8.03 - t^8.092 + t^8.122 - 2*t^8.154 + t^8.184 + 4*t^8.245 + 5*t^8.307 + 9*t^8.369 + 6*t^8.431 + 5*t^8.492 + 7*t^8.554 + 3*t^8.584 + 5*t^8.616 + 3*t^8.645 + 10*t^8.707 + 5*t^8.769 + 8*t^8.831 + t^8.86 + 7*t^8.893 + 2*t^8.922 + 8*t^8.954 + 5*t^8.984 - t^4.415/y - t^6.446/y - t^6.508/y - (2*t^6.569)/y - t^6.908/y + t^7.123/y + (2*t^7.184)/y + (2*t^7.246)/y + t^7.308/y + (2*t^7.523)/y + (2*t^7.585)/y + (4*t^7.646)/y + t^7.799/y + (2*t^7.861)/y + (4*t^7.923)/y + (3*t^7.985)/y + t^8.2/y + (5*t^8.261)/y + (5*t^8.323)/y + t^8.385/y - t^8.476/y - t^8.538/y - t^8.6/y + t^8.662/y - t^8.723/y - t^4.415*y - t^6.446*y - t^6.508*y - 2*t^6.569*y - t^6.908*y + t^7.123*y + 2*t^7.184*y + 2*t^7.246*y + t^7.308*y + 2*t^7.523*y + 2*t^7.585*y + 4*t^7.646*y + t^7.799*y + 2*t^7.861*y + 4*t^7.923*y + 3*t^7.985*y + t^8.2*y + 5*t^8.261*y + 5*t^8.323*y + t^8.385*y - t^8.476*y - t^8.538*y - t^8.6*y + t^8.662*y - t^8.723*y | g1^48*t^2.03 + g1^14*t^2.092 + (2*t^2.154)/g1^20 + (2*t^2.492)/g1^12 + g1^30*t^2.769 + t^2.831/g1^4 + g1^4*t^3.169 + t^3.569/g1^22 + g1^96*t^4.061 + g1^62*t^4.123 + 4*g1^28*t^4.184 + (3*t^4.246)/g1^6 + (3*t^4.308)/g1^40 + 3*g1^36*t^4.523 + 2*g1^2*t^4.585 + (4*t^4.646)/g1^32 + g1^78*t^4.799 + 2*g1^44*t^4.861 + 3*g1^10*t^4.923 + (5*t^4.985)/g1^24 + g1^52*t^5.2 + 3*g1^18*t^5.261 + (4*t^5.323)/g1^16 + g1^60*t^5.538 + 2*g1^26*t^5.6 + (3*t^5.662)/g1^8 + t^5.723/g1^42 - 2*t^6. + t^6.062/g1^34 + g1^144*t^6.091 + g1^110*t^6.153 + 4*g1^76*t^6.215 + 4*g1^42*t^6.277 + 7*g1^8*t^6.338 + (5*t^6.4)/g1^26 + (4*t^6.462)/g1^60 + 3*g1^84*t^6.553 + 3*g1^50*t^6.615 + 8*g1^16*t^6.677 + (5*t^6.739)/g1^18 + (6*t^6.8)/g1^52 + g1^126*t^6.83 + 2*g1^92*t^6.892 + 5*g1^58*t^6.953 + 9*g1^24*t^7.015 + (6*t^7.077)/g1^10 + (8*t^7.139)/g1^44 + g1^100*t^7.23 + 4*g1^66*t^7.292 + 7*g1^32*t^7.354 + (5*t^7.415)/g1^2 + (9*t^7.477)/g1^36 + g1^108*t^7.568 + 3*g1^74*t^7.63 + 4*g1^40*t^7.692 + 7*g1^6*t^7.754 + (7*t^7.816)/g1^28 + t^7.877/g1^62 - g1^48*t^8.03 - g1^14*t^8.092 + g1^192*t^8.122 - (2*t^8.154)/g1^20 + g1^158*t^8.184 + 4*g1^124*t^8.245 + 5*g1^90*t^8.307 + 9*g1^56*t^8.369 + 6*g1^22*t^8.431 + (5*t^8.492)/g1^12 + (7*t^8.554)/g1^46 + 3*g1^132*t^8.584 + (5*t^8.616)/g1^80 + 3*g1^98*t^8.645 + 10*g1^64*t^8.707 + 5*g1^30*t^8.769 + (8*t^8.831)/g1^4 + g1^174*t^8.86 + (7*t^8.893)/g1^38 + 2*g1^140*t^8.922 + (8*t^8.954)/g1^72 + 5*g1^106*t^8.984 - t^4.415/(g1^2*y) - (g1^46*t^6.446)/y - (g1^12*t^6.508)/y - (2*t^6.569)/(g1^22*y) - t^6.908/(g1^14*y) + (g1^62*t^7.123)/y + (2*g1^28*t^7.184)/y + (2*t^7.246)/(g1^6*y) + t^7.308/(g1^40*y) + (2*g1^36*t^7.523)/y + (2*g1^2*t^7.585)/y + (4*t^7.646)/(g1^32*y) + (g1^78*t^7.799)/y + (2*g1^44*t^7.861)/y + (4*g1^10*t^7.923)/y + (3*t^7.985)/(g1^24*y) + (g1^52*t^8.2)/y + (5*g1^18*t^8.261)/y + (5*t^8.323)/(g1^16*y) + t^8.385/(g1^50*y) - (g1^94*t^8.476)/y - (g1^60*t^8.538)/y - (g1^26*t^8.6)/y + t^8.662/(g1^8*y) - t^8.723/(g1^42*y) - (t^4.415*y)/g1^2 - g1^46*t^6.446*y - g1^12*t^6.508*y - (2*t^6.569*y)/g1^22 - (t^6.908*y)/g1^14 + g1^62*t^7.123*y + 2*g1^28*t^7.184*y + (2*t^7.246*y)/g1^6 + (t^7.308*y)/g1^40 + 2*g1^36*t^7.523*y + 2*g1^2*t^7.585*y + (4*t^7.646*y)/g1^32 + g1^78*t^7.799*y + 2*g1^44*t^7.861*y + 4*g1^10*t^7.923*y + (3*t^7.985*y)/g1^24 + g1^52*t^8.2*y + 5*g1^18*t^8.261*y + (5*t^8.323*y)/g1^16 + (t^8.385*y)/g1^50 - g1^94*t^8.476*y - g1^60*t^8.538*y - g1^26*t^8.6*y + (t^8.662*y)/g1^8 - (t^8.723*y)/g1^42 |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
57039 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{3}M_{4}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.716 | 0.9276 | 0.7718 | [M:[1.0558, 0.7211, 0.8326, 1.1674, 0.8326, 0.6694, 0.6953], q:[0.515, 0.4292], qb:[0.7639, 0.4034], phi:[0.4721]] | t^2.008 + t^2.086 + t^2.163 + 2*t^2.498 + t^2.755 + t^2.833 + t^3.167 + t^3.58 + t^3.837 + t^4.017 + t^4.094 + 3*t^4.172 + 2*t^4.249 + t^4.326 + 3*t^4.506 + 2*t^4.584 + 2*t^4.661 + t^4.763 + 2*t^4.841 + 2*t^4.918 + 4*t^4.996 + t^5.176 + 3*t^5.253 + 3*t^5.331 + t^5.51 + 2*t^5.588 + 3*t^5.665 + t^5.845 + t^5.923 - t^6. - t^4.416/y - t^4.416*y | detail |