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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58259 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ + ${ }M_{8}q_{1}\tilde{q}_{2}$ | 0.7174 | 0.9518 | 0.7538 | [X:[], M:[1.125, 0.75, 0.75, 0.875, 0.875, 0.875, 0.75, 0.75], q:[0.75, 0.375], qb:[0.375, 0.5], phi:[0.5]] | [X:[], M:[[1], [0], [-2], [1], [-1], [-1], [2], [0]], q:[[0], [-1]], qb:[[1], [0]], phi:[[0]]] | 1 | {a: 5877/8192, c: 7797/8192, M1: 9/8, M2: 3/4, M3: 3/4, M4: 7/8, M5: 7/8, M6: 7/8, M7: 3/4, M8: 3/4, q1: 3/4, q2: 3/8, qb1: 3/8, qb2: 1/2, phi1: 1/2} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{3}$, ${ }M_{7}$, ${ }M_{8}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }M_{7}$, ${ }M_{5}$, ${ }M_{6}$, ${ }M_{4}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}M_{8}$, ${ }M_{3}M_{8}$, ${ }M_{7}M_{8}$, ${ }M_{8}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{8}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{8}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{7}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{3}M_{6}$, ${ }M_{3}M_{4}$, ${ }M_{2}M_{5}$, ${ }M_{2}M_{6}$, ${ }M_{5}M_{8}$, ${ }M_{6}M_{8}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{6}q_{2}\tilde{q}_{1}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{8}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | ${}$ | -5 | 5*t^2.25 + 4*t^2.62 + t^3. + 2*t^4.12 + 16*t^4.5 + 20*t^4.88 + 15*t^5.25 + 2*t^5.62 - 5*t^6. + 4*t^6.38 + 42*t^6.75 + 58*t^7.12 + 56*t^7.5 + 22*t^7.88 - 24*t^8.25 - 20*t^8.62 - t^4.5/y - (4*t^6.75)/y - (2*t^7.12)/y + (10*t^7.5)/y + (22*t^7.88)/y + (15*t^8.25)/y + (4*t^8.62)/y - t^4.5*y - 4*t^6.75*y - 2*t^7.12*y + 10*t^7.5*y + 22*t^7.88*y + 15*t^8.25*y + 4*t^8.62*y | 3*t^2.25 + t^2.25/g1^2 + g1^2*t^2.25 + (2*t^2.62)/g1 + 2*g1*t^2.62 + t^3. + t^4.12/g1 + g1*t^4.12 + 8*t^4.5 + t^4.5/g1^4 + (3*t^4.5)/g1^2 + 3*g1^2*t^4.5 + g1^4*t^4.5 + (2*t^4.88)/g1^3 + (8*t^4.88)/g1 + 8*g1*t^4.88 + 2*g1^3*t^4.88 + 7*t^5.25 + (4*t^5.25)/g1^2 + 4*g1^2*t^5.25 + t^5.62/g1 + g1*t^5.62 - 3*t^6. - t^6./g1^2 - g1^2*t^6. + t^6.38/g1^3 + t^6.38/g1 + g1*t^6.38 + g1^3*t^6.38 + 16*t^6.75 + t^6.75/g1^6 + (3*t^6.75)/g1^4 + (9*t^6.75)/g1^2 + 9*g1^2*t^6.75 + 3*g1^4*t^6.75 + g1^6*t^6.75 + (2*t^7.12)/g1^5 + (8*t^7.12)/g1^3 + (19*t^7.12)/g1 + 19*g1*t^7.12 + 8*g1^3*t^7.12 + 2*g1^5*t^7.12 + 20*t^7.5 + (4*t^7.5)/g1^4 + (14*t^7.5)/g1^2 + 14*g1^2*t^7.5 + 4*g1^4*t^7.5 + (5*t^7.88)/g1^3 + (6*t^7.88)/g1 + 6*g1*t^7.88 + 5*g1^3*t^7.88 - 12*t^8.25 - t^8.25/g1^4 - (5*t^8.25)/g1^2 - 5*g1^2*t^8.25 - g1^4*t^8.25 + t^8.62/g1^5 - t^8.62/g1^3 - (10*t^8.62)/g1 - 10*g1*t^8.62 - g1^3*t^8.62 + g1^5*t^8.62 - t^4.5/y - (2*t^6.75)/y - t^6.75/(g1^2*y) - (g1^2*t^6.75)/y - t^7.12/(g1*y) - (g1*t^7.12)/y + (4*t^7.5)/y + (3*t^7.5)/(g1^2*y) + (3*g1^2*t^7.5)/y + (2*t^7.88)/(g1^3*y) + (9*t^7.88)/(g1*y) + (9*g1*t^7.88)/y + (2*g1^3*t^7.88)/y + (9*t^8.25)/y + (3*t^8.25)/(g1^2*y) + (3*g1^2*t^8.25)/y + (2*t^8.62)/(g1*y) + (2*g1*t^8.62)/y - t^4.5*y - 2*t^6.75*y - (t^6.75*y)/g1^2 - g1^2*t^6.75*y - (t^7.12*y)/g1 - g1*t^7.12*y + 4*t^7.5*y + (3*t^7.5*y)/g1^2 + 3*g1^2*t^7.5*y + (2*t^7.88*y)/g1^3 + (9*t^7.88*y)/g1 + 9*g1*t^7.88*y + 2*g1^3*t^7.88*y + 9*t^8.25*y + (3*t^8.25*y)/g1^2 + 3*g1^2*t^8.25*y + (2*t^8.62*y)/g1 + 2*g1*t^8.62*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 |
---|---|---|---|---|---|---|---|---|---|
56107 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{4}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{1}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}q_{2}^{2}$ | 0.6984 | 0.9171 | 0.7615 | [X:[], M:[1.125, 0.75, 0.75, 0.875, 0.875, 0.875, 0.75], q:[0.75, 0.375], qb:[0.375, 0.5], phi:[0.5]] | 4*t^2.25 + 4*t^2.62 + t^3. + t^3.75 + 2*t^4.12 + 11*t^4.5 + 16*t^4.88 + 14*t^5.25 + 2*t^5.62 - t^6. - t^4.5/y - t^4.5*y | detail | {a: 5721/8192, c: 7513/8192, M1: 9/8, M2: 3/4, M3: 3/4, M4: 7/8, M5: 7/8, M6: 7/8, M7: 3/4, q1: 3/4, q2: 3/8, qb1: 3/8, qb2: 1/2, phi1: 1/2} |