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 |
---|---|---|---|---|---|---|---|---|---|
621 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{2}X_{1}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ | 0.5684 | 0.6777 | 0.8386 | [X:[1.5], M:[0.875, 0.5, 1.0, 1.25], q:[0.8125, 0.8125], qb:[0.3125, 0.5625], phi:[0.375]] | [X:[[0]], M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 291/512, c: 347/512, X1: 3/2, M1: 7/8, M2: 1/2, M3: 1, M4: 5/4, q1: 13/16, q2: 13/16, qb1: 5/16, qb2: 9/16, phi1: 3/8} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ | ${}M_{1}q_{2}\tilde{q}_{1}$ | 0 | 2*t^2.625 + t^3. + t^3.375 + 2*t^3.75 + 2*t^4.125 + t^4.5 + t^4.875 + 2*t^5.25 + 2*t^6.375 + 3*t^6.75 + 2*t^7.125 + 3*t^7.5 + 4*t^7.875 + 2*t^8.25 - t^8.625 - t^4.125/y - t^6.75/y + t^7.5/y + t^8.25/y + (2*t^8.625)/y - t^4.125*y - t^6.75*y + t^7.5*y + t^8.25*y + 2*t^8.625*y | 2*t^2.625 + t^3. + t^3.375 + 2*t^3.75 + 2*t^4.125 + t^4.5 + t^4.875 + 2*t^5.25 + 2*t^6.375 + 3*t^6.75 + 2*t^7.125 + 3*t^7.5 + 4*t^7.875 + 2*t^8.25 - t^8.625 - t^4.125/y - t^6.75/y + t^7.5/y + t^8.25/y + (2*t^8.625)/y - t^4.125*y - t^6.75*y + t^7.5*y + t^8.25*y + 2*t^8.625*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 |
---|---|---|---|---|---|---|---|---|
1002 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{2}X_{1}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ + ${ }M_{4}\phi_{1}^{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ | 0.5795 | 0.6967 | 0.8318 | [X:[1.5], M:[0.875, 0.5, 1.0, 1.25, 0.875], q:[0.8125, 0.8125], qb:[0.3125, 0.5625], phi:[0.375]] | 3*t^2.625 + t^3. + 2*t^3.75 + 2*t^4.125 + t^4.5 + t^4.875 + 5*t^5.25 + t^5.625 - 2*t^6. - t^4.125/y - t^4.125*y | detail | {a: 9495/16384, c: 11415/16384, X1: 3/2, M1: 7/8, M2: 1/2, M3: 1, M4: 5/4, M5: 7/8, q1: 13/16, q2: 13/16, qb1: 5/16, qb2: 9/16, phi1: 3/8} |
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 |
---|---|---|---|---|---|---|---|---|---|
383 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{2}X_{1}$ + ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 0.5874 | 0.7124 | 0.8245 | [X:[1.5], M:[0.875, 0.5, 1.0], q:[0.8125, 0.8125], qb:[0.3125, 0.5625], phi:[0.375]] | t^2.25 + 2*t^2.625 + t^3. + t^3.375 + t^3.75 + 2*t^4.125 + 2*t^4.5 + 3*t^4.875 + 3*t^5.25 + t^5.625 + t^6. - t^4.125/y - t^4.125*y | detail | {a: 1203/2048, c: 1459/2048, X1: 3/2, M1: 7/8, M2: 1/2, M3: 1, q1: 13/16, q2: 13/16, qb1: 5/16, qb2: 9/16, phi1: 3/8} |