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 |
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1680 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}M_{6}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6148 | 0.755 | 0.8143 | [M:[0.7784, 1.2, 0.8216, 0.8, 1.2216, 1.1784, 0.7567], q:[0.8, 0.4216], qb:[0.8, 0.3784], phi:[0.4]] | [M:[[1], [0], [-1], [0], [-1], [1], [2]], q:[[0], [-1]], qb:[[0], [1]], phi:[[0]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }q_{1}q_{2}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{7}\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{3}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}q_{1}q_{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$ | ${}\phi_{1}\tilde{q}_{1}^{2}$ | -1 | t^2.27 + 2*t^2.4 + t^3.47 + 2*t^3.535 + t^3.6 + 2*t^3.665 + t^4.54 + 2*t^4.67 + 4*t^4.8 + t^5.74 + 2*t^5.805 + 2*t^5.87 + 4*t^5.935 - t^6. + 2*t^6.065 - t^6.13 + t^6.811 + 3*t^6.94 + 2*t^7.005 + 6*t^7.07 + 6*t^7.2 - 2*t^7.265 + t^7.33 + t^8.011 + 2*t^8.075 + 2*t^8.14 + 4*t^8.205 + 4*t^8.335 - 4*t^8.4 + 2*t^8.465 - 3*t^8.53 - t^4.2/y - t^6.47/y - t^6.6/y + (2*t^7.67)/y + (2*t^7.8)/y + t^7.93/y + (2*t^8.805)/y + (2*t^8.87)/y + (6*t^8.935)/y - t^4.2*y - t^6.47*y - t^6.6*y + 2*t^7.67*y + 2*t^7.8*y + t^7.93*y + 2*t^8.805*y + 2*t^8.87*y + 6*t^8.935*y | g1^2*t^2.27 + 2*t^2.4 + g1^2*t^3.47 + 2*g1*t^3.535 + t^3.6 + (2*t^3.665)/g1 + g1^4*t^4.54 + 2*g1^2*t^4.67 + 4*t^4.8 + g1^4*t^5.74 + 2*g1^3*t^5.805 + 2*g1^2*t^5.87 + 4*g1*t^5.935 - t^6. + (2*t^6.065)/g1 - t^6.13/g1^2 + g1^6*t^6.811 + 3*g1^4*t^6.94 + 2*g1^3*t^7.005 + 6*g1^2*t^7.07 + 6*t^7.2 - (2*t^7.265)/g1 + t^7.33/g1^2 + g1^6*t^8.011 + 2*g1^5*t^8.075 + 2*g1^4*t^8.14 + 4*g1^3*t^8.205 + 4*g1*t^8.335 - 4*t^8.4 + (2*t^8.465)/g1 - (3*t^8.53)/g1^2 - t^4.2/y - (g1^2*t^6.47)/y - t^6.6/y + (2*g1^2*t^7.67)/y + (2*t^7.8)/y + t^7.93/(g1^2*y) + (2*g1^3*t^8.805)/y + (2*g1^2*t^8.87)/y + (6*g1*t^8.935)/y - t^4.2*y - g1^2*t^6.47*y - t^6.6*y + 2*g1^2*t^7.67*y + 2*t^7.8*y + (t^7.93*y)/g1^2 + 2*g1^3*t^8.805*y + 2*g1^2*t^8.87*y + 6*g1*t^8.935*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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
1079 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{4}$ + ${ }M_{1}M_{5}$ + ${ }M_{3}M_{6}$ | 0.597 | 0.722 | 0.8269 | [M:[0.8, 1.2, 0.8, 0.8, 1.2, 1.2], q:[0.8, 0.4], qb:[0.8, 0.4], phi:[0.4]] | 2*t^2.4 + 7*t^3.6 + 4*t^4.8 + 5*t^6. - t^4.2/y - t^4.2*y | detail | {a: 597/1000, c: 361/500, M1: 4/5, M2: 6/5, M3: 4/5, M4: 4/5, M5: 6/5, M6: 6/5, q1: 4/5, q2: 2/5, qb1: 4/5, qb2: 2/5, phi1: 2/5} |