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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4500 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}X_{1}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.6372 | 0.8006 | 0.7958 | [X:[1.3846], M:[0.7692, 1.0769, 1.2308, 0.6154, 0.7692, 1.0769, 0.7692], q:[0.4615, 0.7692], qb:[0.3077, 0.6154], phi:[0.4615]] | [X:[[0]], M:[[0], [0], [0], [0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 11199/17576, c: 1759/2197, X1: 18/13, M1: 10/13, M2: 14/13, M3: 16/13, M4: 8/13, M5: 10/13, M6: 14/13, M7: 10/13, q1: 6/13, q2: 10/13, qb1: 4/13, qb2: 8/13, phi1: 6/13} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{5}$, ${ }M_{7}$, ${ }M_{2}$, ${ }M_{6}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{5}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{5}q_{2}\tilde{q}_{1}$, ${ }M_{7}q_{2}\tilde{q}_{1}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$ | ${}$ | -4 | 3*t^2.308 + 5*t^3.231 + 3*t^4.154 + 7*t^4.615 + 13*t^5.538 - 4*t^6. + 16*t^6.462 + 5*t^6.923 + 6*t^7.385 + 22*t^7.846 - 12*t^8.308 + 32*t^8.769 - t^4.385/y - (2*t^6.692)/y + t^7.154/y + (2*t^7.615)/y + (2*t^8.077)/y + (15*t^8.538)/y - t^4.385*y - 2*t^6.692*y + t^7.154*y + 2*t^7.615*y + 2*t^8.077*y + 15*t^8.538*y | 3*t^2.308 + 5*t^3.231 + 3*t^4.154 + 7*t^4.615 + 13*t^5.538 - 4*t^6. + 16*t^6.462 + 5*t^6.923 + 6*t^7.385 + 22*t^7.846 - 12*t^8.308 + 32*t^8.769 - t^4.385/y - (2*t^6.692)/y + t^7.154/y + (2*t^7.615)/y + (2*t^8.077)/y + (15*t^8.538)/y - t^4.385*y - 2*t^6.692*y + t^7.154*y + 2*t^7.615*y + 2*t^8.077*y + 15*t^8.538*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 |
---|---|---|---|---|---|---|---|---|---|
2455 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{3}M_{5}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{6}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{4}X_{1}$ | 0.619 | 0.768 | 0.8059 | [X:[1.3846], M:[0.7692, 1.0769, 1.2308, 0.6154, 0.7692, 1.0769], q:[0.4615, 0.7692], qb:[0.3077, 0.6154], phi:[0.4615]] | 2*t^2.308 + 5*t^3.231 + t^3.692 + 3*t^4.154 + 4*t^4.615 + 8*t^5.538 - 2*t^6. - t^4.385/y - t^4.385*y | detail | {a: 21759/35152, c: 13499/17576, X1: 18/13, M1: 10/13, M2: 14/13, M3: 16/13, M4: 8/13, M5: 10/13, M6: 14/13, q1: 6/13, q2: 10/13, qb1: 4/13, qb2: 8/13, phi1: 6/13} |