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 |
---|---|---|---|---|---|---|---|---|---|
36 | SU2adj1nf2 | ${}$ | 0.7103 | 0.8462 | 0.8394 | [q:[0.5651, 0.5651], qb:[0.5651, 0.5651], phi:[0.4349]] | [q:[[4, 0, 0, 0], [0, 4, 0, 0]], qb:[[0, 0, 4, 0], [0, 0, 0, 4]], phi:[[-1, -1, -1, -1]]] | 4 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{4}$ | ${}\phi_{1}^{2}q_{1}q_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | -10 | t^2.61 + 6*t^3.39 + 10*t^4.695 + t^5.219 - 10*t^6. + 20*t^6.781 - 5*t^7.305 + t^7.829 + 35*t^8.085 - t^4.305/y - t^6.915/y + t^7.695/y - t^4.305*y - t^6.915*y + t^7.695*y | t^2.61/(g1^2*g2^2*g3^2*g4^2) + g1^4*g2^4*t^3.39 + g1^4*g3^4*t^3.39 + g2^4*g3^4*t^3.39 + g1^4*g4^4*t^3.39 + g2^4*g4^4*t^3.39 + g3^4*g4^4*t^3.39 + (g1^7*t^4.695)/(g2*g3*g4) + (g1^3*g2^3*t^4.695)/(g3*g4) + (g2^7*t^4.695)/(g1*g3*g4) + (g1^3*g3^3*t^4.695)/(g2*g4) + (g2^3*g3^3*t^4.695)/(g1*g4) + (g3^7*t^4.695)/(g1*g2*g4) + (g1^3*g4^3*t^4.695)/(g2*g3) + (g2^3*g4^3*t^4.695)/(g1*g3) + (g3^3*g4^3*t^4.695)/(g1*g2) + (g4^7*t^4.695)/(g1*g2*g3) + t^5.219/(g1^4*g2^4*g3^4*g4^4) - 4*t^6. - (g1^4*t^6.)/g2^4 - (g2^4*t^6.)/g1^4 - (g1^4*t^6.)/g3^4 - (g2^4*t^6.)/g3^4 - (g3^4*t^6.)/g1^4 - (g3^4*t^6.)/g2^4 - (g1^4*t^6.)/g4^4 - (g2^4*t^6.)/g4^4 - (g3^4*t^6.)/g4^4 + (g1^2*g2^2*t^6.)/(g3^2*g4^2) + (g1^2*g3^2*t^6.)/(g2^2*g4^2) + (g2^2*g3^2*t^6.)/(g1^2*g4^2) + (g1^2*g4^2*t^6.)/(g2^2*g3^2) + (g2^2*g4^2*t^6.)/(g1^2*g3^2) + (g3^2*g4^2*t^6.)/(g1^2*g2^2) - (g4^4*t^6.)/g1^4 - (g4^4*t^6.)/g2^4 - (g4^4*t^6.)/g3^4 + g1^8*g2^8*t^6.781 + g1^8*g2^4*g3^4*t^6.781 + g1^4*g2^8*g3^4*t^6.781 + g1^8*g3^8*t^6.781 + g1^4*g2^4*g3^8*t^6.781 + g2^8*g3^8*t^6.781 + g1^8*g2^4*g4^4*t^6.781 + g1^4*g2^8*g4^4*t^6.781 + g1^8*g3^4*g4^4*t^6.781 + 2*g1^4*g2^4*g3^4*g4^4*t^6.781 + g2^8*g3^4*g4^4*t^6.781 + g1^4*g3^8*g4^4*t^6.781 + g2^4*g3^8*g4^4*t^6.781 + g1^8*g4^8*t^6.781 + g1^4*g2^4*g4^8*t^6.781 + g2^8*g4^8*t^6.781 + g1^4*g3^4*g4^8*t^6.781 + g2^4*g3^4*g4^8*t^6.781 + g3^8*g4^8*t^6.781 - (g1^3*t^7.305)/(g2*g3*g4^5) - (g2^3*t^7.305)/(g1*g3*g4^5) - (g3^3*t^7.305)/(g1*g2*g4^5) + (g1^5*t^7.305)/(g2^3*g3^3*g4^3) + (g1*g2*t^7.305)/(g3^3*g4^3) + (g2^5*t^7.305)/(g1^3*g3^3*g4^3) + (g1*g3*t^7.305)/(g2^3*g4^3) + (g2*g3*t^7.305)/(g1^3*g4^3) + (g3^5*t^7.305)/(g1^3*g2^3*g4^3) - (g1^3*t^7.305)/(g2*g3^5*g4) - (g2^3*t^7.305)/(g1*g3^5*g4) - (g1^3*t^7.305)/(g2^5*g3*g4) - (3*t^7.305)/(g1*g2*g3*g4) - (g2^3*t^7.305)/(g1^5*g3*g4) - (g3^3*t^7.305)/(g1*g2^5*g4) - (g3^3*t^7.305)/(g1^5*g2*g4) + (g1*g4*t^7.305)/(g2^3*g3^3) + (g2*g4*t^7.305)/(g1^3*g3^3) + (g3*g4*t^7.305)/(g1^3*g2^3) - (g4^3*t^7.305)/(g1*g2*g3^5) - (g4^3*t^7.305)/(g1*g2^5*g3) - (g4^3*t^7.305)/(g1^5*g2*g3) + (g4^5*t^7.305)/(g1^3*g2^3*g3^3) + t^7.829/(g1^6*g2^6*g3^6*g4^6) + (g1^11*g2^3*t^8.085)/(g3*g4) + (g1^7*g2^7*t^8.085)/(g3*g4) + (g1^3*g2^11*t^8.085)/(g3*g4) + (g1^11*g3^3*t^8.085)/(g2*g4) + (2*g1^7*g2^3*g3^3*t^8.085)/g4 + (2*g1^3*g2^7*g3^3*t^8.085)/g4 + (g2^11*g3^3*t^8.085)/(g1*g4) + (g1^7*g3^7*t^8.085)/(g2*g4) + (2*g1^3*g2^3*g3^7*t^8.085)/g4 + (g2^7*g3^7*t^8.085)/(g1*g4) + (g1^3*g3^11*t^8.085)/(g2*g4) + (g2^3*g3^11*t^8.085)/(g1*g4) - g1^9*g2*g3*g4*t^8.085 - g1^5*g2^5*g3*g4*t^8.085 - g1*g2^9*g3*g4*t^8.085 - g1^5*g2*g3^5*g4*t^8.085 - g1*g2^5*g3^5*g4*t^8.085 - g1*g2*g3^9*g4*t^8.085 + (g1^11*g4^3*t^8.085)/(g2*g3) + (2*g1^7*g2^3*g4^3*t^8.085)/g3 + (2*g1^3*g2^7*g4^3*t^8.085)/g3 + (g2^11*g4^3*t^8.085)/(g1*g3) + (2*g1^7*g3^3*g4^3*t^8.085)/g2 + 3*g1^3*g2^3*g3^3*g4^3*t^8.085 + (2*g2^7*g3^3*g4^3*t^8.085)/g1 + (2*g1^3*g3^7*g4^3*t^8.085)/g2 + (2*g2^3*g3^7*g4^3*t^8.085)/g1 + (g3^11*g4^3*t^8.085)/(g1*g2) - g1^5*g2*g3*g4^5*t^8.085 - g1*g2^5*g3*g4^5*t^8.085 - g1*g2*g3^5*g4^5*t^8.085 + (g1^7*g4^7*t^8.085)/(g2*g3) + (2*g1^3*g2^3*g4^7*t^8.085)/g3 + (g2^7*g4^7*t^8.085)/(g1*g3) + (2*g1^3*g3^3*g4^7*t^8.085)/g2 + (2*g2^3*g3^3*g4^7*t^8.085)/g1 + (g3^7*g4^7*t^8.085)/(g1*g2) - g1*g2*g3*g4^9*t^8.085 + (g1^3*g4^11*t^8.085)/(g2*g3) + (g2^3*g4^11*t^8.085)/(g1*g3) + (g3^3*g4^11*t^8.085)/(g1*g2) + t^8.61/g1^8 + t^8.61/g2^8 + (2*t^8.61)/(g1^4*g2^4) + t^8.61/g3^8 + (2*t^8.61)/(g1^4*g3^4) + (2*t^8.61)/(g2^4*g3^4) + t^8.61/g4^8 - (g1^2*t^8.61)/(g2^2*g3^2*g4^6) - (g2^2*t^8.61)/(g1^2*g3^2*g4^6) - (g3^2*t^8.61)/(g1^2*g2^2*g4^6) + (2*t^8.61)/(g1^4*g4^4) + (2*t^8.61)/(g2^4*g4^4) + (2*t^8.61)/(g3^4*g4^4) - (g1^2*t^8.61)/(g2^2*g3^6*g4^2) - (g2^2*t^8.61)/(g1^2*g3^6*g4^2) - (g1^2*t^8.61)/(g2^6*g3^2*g4^2) - (4*t^8.61)/(g1^2*g2^2*g3^2*g4^2) - (g2^2*t^8.61)/(g1^6*g3^2*g4^2) - (g3^2*t^8.61)/(g1^2*g2^6*g4^2) - (g3^2*t^8.61)/(g1^6*g2^2*g4^2) - (g4^2*t^8.61)/(g1^2*g2^2*g3^6) - (g4^2*t^8.61)/(g1^2*g2^6*g3^2) - (g4^2*t^8.61)/(g1^6*g2^2*g3^2) - t^4.305/(g1*g2*g3*g4*y) - t^6.915/(g1^3*g2^3*g3^3*g4^3*y) + (g1*g2*g3*g4*t^7.695)/y - (t^4.305*y)/(g1*g2*g3*g4) - (t^6.915*y)/(g1^3*g2^3*g3^3*g4^3) + g1*g2*g3*g4*t^7.695*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 |
---|---|---|---|---|---|---|---|---|
41 | ${}M_{1}\phi_{1}^{2}$ | 0.7003 | 0.8367 | 0.837 | [M:[1.0907], q:[0.5454, 0.5454], qb:[0.5454, 0.5454], phi:[0.4546]] | 7*t^3.272 + 10*t^4.636 - 16*t^6. - t^4.364/y - t^4.364*y | detail | |
40 | ${}M_{1}q_{1}q_{2}$ | 0.7247 | 0.8687 | 0.8342 | [M:[0.7995], q:[0.6003, 0.6003], qb:[0.5581, 0.5581], phi:[0.4208]] | t^2.398 + t^2.525 + t^3.349 + 4*t^3.475 + 3*t^4.611 + 4*t^4.738 + t^4.797 + 3*t^4.864 + t^4.923 + t^5.05 + t^5.747 + t^5.874 - 4*t^6. - t^4.262/y - t^4.262*y | detail | |
39 | ${}\phi_{1}q_{1}q_{2}$ | 0.6076 | 0.7195 | 0.8446 | [q:[0.8211, 0.8211], qb:[0.4632, 0.4632], phi:[0.3578]] | t^2.147 + t^2.779 + 7*t^3.853 + t^4.294 + 2*t^4.926 + t^5.559 - 2*t^6. - t^4.074/y - t^4.074*y | detail | |
37 | ${}\phi_{1}q_{1}^{2}$ | 0.6732 | 0.8001 | 0.8414 | [q:[0.7969, 0.5261], qb:[0.5261, 0.5261], phi:[0.4062]] | t^2.437 + 3*t^3.157 + 3*t^3.969 + 6*t^4.375 + t^4.874 + 3*t^5.594 - 9*t^6. - t^4.219/y - t^4.219*y | detail | |
38 | ${}\phi_{1}^{4}$ | 0.6914 | 0.8477 | 0.8157 | [q:[0.5, 0.5], qb:[0.5, 0.5], phi:[0.5]] | 7*t^3. + 10*t^4.5 + 11*t^6. - t^4.5/y - t^4.5*y | detail | {a: 177/256, c: 217/256, q1: 1/2, q2: 1/2, qb1: 1/2, qb2: 1/2, phi1: 1/2} |
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 |
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