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 |
---|---|---|---|---|---|---|---|---|---|
153 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}^{2}$ | 0.4526 | 0.4995 | 0.9062 | [X:[1.5], M:[1.0], q:[0.875, 0.875], qb:[0.375, 0.875], phi:[0.25]] | [X:[[0]], M:[[0]], q:[[0], [0]], qb:[[0], [0]], phi:[[0]]] | 0 | {a: 927/2048, c: 1023/2048, X1: 3/2, M1: 1, q1: 7/8, q2: 7/8, qb1: 3/8, qb2: 7/8, phi1: 1/4} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }X_{1}$ | ${}$ | -3 | t^3. + 3*t^3.75 + t^4.5 - 3*t^6. + 6*t^7.5 + t^8.25 - t^3.75/y - t^3.75*y | t^3. + 3*t^3.75 + t^4.5 - 3*t^6. + 6*t^7.5 + t^8.25 - t^3.75/y - t^3.75*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 |
---|---|---|---|---|---|---|---|---|
246 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}^{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ | 0.4717 | 0.5342 | 0.883 | [X:[1.5], M:[1.0, 0.75], q:[0.875, 0.875], qb:[0.375, 0.875], phi:[0.25]] | t^2.25 + t^3. + 2*t^3.75 + 2*t^4.5 + t^5.25 - t^6. - t^3.75/y - t^6./y - t^3.75*y - t^6.*y | detail | {a: 483/1024, c: 547/1024, X1: 3/2, M1: 1, M2: 3/4, q1: 7/8, q2: 7/8, qb1: 3/8, qb2: 7/8, phi1: 1/4} |
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 |
---|---|---|---|---|---|---|---|---|---|
6 | SU2adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}^{2}$ | 0.4526 | 0.4995 | 0.9062 | [X:[1.5], M:[1.0], q:[0.5], qb:[0.5], phi:[0.25]] | t^3. + 3*t^3.75 + t^4.5 - 3*t^6. - t^3.75/y - t^3.75*y | detail | {a: 927/2048, c: 1023/2048, X1: 3/2, M1: 1, q1: 1/2, qb1: 1/2, phi1: 1/4} |
75494 | SU2adj2nf1 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}$ + ${ }\phi_{2}^{2}X_{1}$ | 0.4526 | 0.4995 | 0.9062 | [X:[1.5], M:[], q:[0.5], qb:[0.5], phi:[1.0, 0.25], S:[], Sb:[], A:[], Ab:[]] | t^3. + 3*t^3.75 + t^4.5 - 3*t^6. - t^3.75/y - t^3.75*y | detail | {a: 927/2048, c: 1023/2048, X1: 3/2, q1: 1/2, qb1: 1/2, phi1: 1, phi2: 1/4} |
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 |
---|---|---|---|---|---|---|---|---|---|
95 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }\phi_{1}^{2}X_{1}$ | 0.4583 | 0.5 | 0.9167 | [X:[1.5556], M:[0.8889], q:[0.8889, 0.8889], qb:[0.4444, 0.8889], phi:[0.2222]] | t^2.667 + 3*t^4. + t^4.667 + t^5.333 - 4*t^6. - t^3.667/y - t^3.667*y | detail | {a: 11/24, c: 1/2, X1: 14/9, M1: 8/9, q1: 8/9, q2: 8/9, qb1: 4/9, qb2: 8/9, phi1: 2/9} |