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 |
---|---|---|---|---|---|---|---|---|---|
8465 | Sp2adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{8}$ + ${ }q_{1}q_{2}X_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.9434 | 1.0684 | 0.883 | [X:[1.5, 1.5], M:[1.25, 1.25], q:[0.25, 0.25], qb:[], phi:[0.25]] | [X:[[0], [0]], M:[[2], [-2]], q:[[-1], [1]], qb:[], phi:[[0]]] | 1 | {a: 483/512, c: 547/512, X1: 3/2, X2: 3/2, M1: 5/4, M2: 5/4, q1: 1/4, q2: 1/4, phi1: 1/4} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{2}q_{1}q_{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }\phi_{1}^{3}q_{1}q_{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{2}$, ${ }\phi_{1}^{3}q_{1}^{2}$, ${ }M_{1}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}^{2}q_{2}^{2}$, ${ }X_{1}$, ${ }X_{2}$, ${ }\phi_{1}^{5}q_{1}q_{2}$, ${ }\phi_{1}^{3}q_{1}^{2}q_{2}^{2}$ | ${}M_{2}\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}^{6}q_{1}q_{2}$, ${ }\phi_{1}^{4}q_{1}^{3}q_{2}$, ${ }\phi_{1}^{4}q_{1}^{2}q_{2}^{2}$, ${ }\phi_{1}^{4}q_{1}q_{2}^{3}$ | 3 | t^2.25 + 2*t^3. + 5*t^3.75 + 3*t^4.5 + 2*t^5.25 + 3*t^6. + 7*t^6.75 + 16*t^7.5 + 7*t^8.25 - t^3.75/y - t^5.25/y - t^6./y - t^6.75/y - (3*t^7.5)/y - t^3.75*y - t^5.25*y - t^6.*y - t^6.75*y - 3*t^7.5*y | t^2.25 + 2*t^3. + t^3.75 + (2*t^3.75)/g1^2 + 2*g1^2*t^3.75 + 3*t^4.5 + 2*t^5.25 + t^6. + t^6./g1^2 + g1^2*t^6. + 3*t^6.75 + (2*t^6.75)/g1^2 + 2*g1^2*t^6.75 + 8*t^7.5 + (3*t^7.5)/g1^4 + t^7.5/g1^2 + g1^2*t^7.5 + 3*g1^4*t^7.5 + t^8.25 + (3*t^8.25)/g1^2 + 3*g1^2*t^8.25 - t^3.75/y - t^5.25/y - t^6./y - t^6.75/y - t^7.5/y - t^7.5/(g1^2*y) - (g1^2*t^7.5)/y - t^3.75*y - t^5.25*y - t^6.*y - t^6.75*y - t^7.5*y - (t^7.5*y)/g1^2 - g1^2*t^7.5*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 |
---|---|---|---|---|---|---|---|---|
8623 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{8}$ + ${ }q_{1}q_{2}X_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{1}q_{2}$ | 0.9243 | 1.0337 | 0.8942 | [X:[1.5, 1.5], M:[1.25, 1.25, 1.25], q:[0.25, 0.25], qb:[], phi:[0.25]] | 2*t^3. + 6*t^3.75 + 2*t^4.5 - 2*t^6. - t^3.75/y - t^5.25/y - t^3.75*y - t^5.25*y | detail | {a: 1893/2048, c: 2117/2048, X1: 3/2, X2: 3/2, M1: 5/4, M2: 5/4, M3: 5/4, q1: 1/4, q2: 1/4, 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 |
---|---|---|---|---|---|---|---|---|---|
79703 | Sp2s2nf1 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{1}S_{1}^{2}$ + ${ }S_{2}^{2}$ + ${ }S_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}^{2}S_{1}$ + ${ }M_{3}q_{2}^{2}S_{1}$ | 0.9434 | 1.0684 | 0.883 | [X:[1.5], M:[1.5, 1.25, 1.25], q:[0.25, 0.25], qb:[], phi:[], S:[0.25, 1.0], Sb:[], A:[], Ab:[]] | t^2.25 + 2*t^3. + 5*t^3.75 + 3*t^4.5 + 2*t^5.25 + 3*t^6. - t^3.75/y - t^5.25/y - t^6./y - t^3.75*y - t^5.25*y - t^6.*y | detail | {a: 483/512, c: 547/512, X1: 3/2, M1: 3/2, M2: 5/4, M3: 5/4, q1: 1/4, q2: 1/4, S1: 1/4, S2: 1} |
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 |
---|---|---|---|---|---|---|---|---|---|
8224 | Sp2adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{8}$ + ${ }q_{1}q_{2}X_{2}$ | 0.9628 | 1.1046 | 0.8716 | [X:[1.5, 1.5], M:[1.2307], q:[0.2596, 0.2404], qb:[], phi:[0.25]] | t^2.19 + t^2.25 + 2*t^3. + 2*t^3.69 + t^3.75 + t^3.81 + t^4.38 + t^4.44 + 3*t^4.5 + 2*t^5.19 + 2*t^5.25 + 2*t^5.88 + 2*t^5.94 + 2*t^6. - t^3.75/y - t^5.25/y - t^5.94/y - t^6./y - t^3.75*y - t^5.25*y - t^5.94*y - t^6.*y | detail |