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 |
---|---|---|---|---|---|---|---|---|---|
1844 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}q_{2}$ | 0.5455 | 0.7268 | 0.7506 | [M:[0.9, 1.2, 0.8, 0.7], q:[0.75, 0.55], qb:[0.55, 0.15], phi:[0.5]] | [M:[[0], [0], [0], [0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 17457/32000, c: 23257/32000, M1: 9/10, M2: 6/5, M3: 4/5, M4: 7/10, q1: 3/4, q2: 11/20, qb1: 11/20, qb2: 3/20, phi1: 1/2} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }q_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$ | ${}M_{4}q_{1}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$ | 0 | 3*t^2.1 + t^2.4 + 2*t^2.7 + t^3. + 2*t^3.6 + t^3.9 + 6*t^4.2 + 3*t^4.5 + 8*t^4.8 + 5*t^5.1 + 3*t^5.4 + 6*t^5.7 + 11*t^6.3 + 6*t^6.6 + 15*t^6.9 + 11*t^7.2 + 7*t^7.5 + 13*t^7.8 - t^8.1 + 16*t^8.4 + 4*t^8.7 - t^4.5/y - t^6.6/y + (2*t^7.2)/y + (3*t^7.5)/y + (7*t^7.8)/y + (5*t^8.1)/y + (3*t^8.4)/y + (7*t^8.7)/y - t^4.5*y - t^6.6*y + 2*t^7.2*y + 3*t^7.5*y + 7*t^7.8*y + 5*t^8.1*y + 3*t^8.4*y + 7*t^8.7*y | 3*t^2.1 + t^2.4 + 2*t^2.7 + t^3. + 2*t^3.6 + t^3.9 + 6*t^4.2 + 3*t^4.5 + 8*t^4.8 + 5*t^5.1 + 3*t^5.4 + 6*t^5.7 + 11*t^6.3 + 6*t^6.6 + 15*t^6.9 + 11*t^7.2 + 7*t^7.5 + 13*t^7.8 - t^8.1 + 16*t^8.4 + 4*t^8.7 - t^4.5/y - t^6.6/y + (2*t^7.2)/y + (3*t^7.5)/y + (7*t^7.8)/y + (5*t^8.1)/y + (3*t^8.4)/y + (7*t^8.7)/y - t^4.5*y - t^6.6*y + 2*t^7.2*y + 3*t^7.5*y + 7*t^7.8*y + 5*t^8.1*y + 3*t^8.4*y + 7*t^8.7*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 |
---|---|---|---|---|---|---|---|---|
2869 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ + ${ }M_{4}q_{1}q_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ | 0.5661 | 0.7661 | 0.7389 | [M:[0.9, 1.2, 0.8, 0.7, 0.7], q:[0.75, 0.55], qb:[0.55, 0.15], phi:[0.5]] | 4*t^2.1 + t^2.4 + 2*t^2.7 + t^3. + 2*t^3.6 + 10*t^4.2 + 4*t^4.5 + 10*t^4.8 + 6*t^5.1 + 3*t^5.4 + 8*t^5.7 - 3*t^6. - t^4.5/y - t^4.5*y | detail | {a: 9057/16000, c: 12257/16000, M1: 9/10, M2: 6/5, M3: 4/5, M4: 7/10, M5: 7/10, q1: 3/4, q2: 11/20, qb1: 11/20, qb2: 3/20, 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 |
---|---|---|---|---|---|---|---|---|---|
404 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}^{4}$ + ${ }M_{2}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}M_{3}$ | 0.525 | 0.6875 | 0.7636 | [M:[0.9, 1.2, 0.8], q:[0.75, 0.55], qb:[0.55, 0.15], phi:[0.5]] | 2*t^2.1 + t^2.4 + 2*t^2.7 + t^3. + 2*t^3.6 + 2*t^3.9 + 3*t^4.2 + 2*t^4.5 + 6*t^4.8 + 4*t^5.1 + 3*t^5.4 + 4*t^5.7 + t^6. - t^4.5/y - t^4.5*y | detail | {a: 21/40, c: 11/16, M1: 9/10, M2: 6/5, M3: 4/5, q1: 3/4, q2: 11/20, qb1: 11/20, qb2: 3/20, phi1: 1/2} |