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 |
---|---|---|---|---|---|---|---|---|---|
79605 | Sp2s2nf1 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{1}M_{2}$ + ${ }S_{1}^{2}$ + ${ }S_{2}^{2}X_{1}$ | 1.1535 | 1.291 | 0.8935 | [X:[1.6], M:[0.8, 1.2], q:[0.4, 0.4], qb:[], phi:[], S:[1.0, 0.2], Sb:[], A:[], Ab:[]] | [X:[[0]], M:[[0], [0]], q:[[-1], [1]], qb:[], phi:[], S:[[0], [0]], Sb:[], A:[], Ab:[]] | 1 | {a: 2307/2000, c: 1291/1000, X1: 8/5, M1: 4/5, M2: 6/5, q1: 2/5, q2: 2/5, S1: 1, S2: 1/5} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }S_{2}^{4}$, ${ }q_{1}^{2}S_{2}$, ${ }q_{1}q_{2}S_{2}$, ${ }q_{2}^{2}S_{2}$, ${ }q_{1}^{2}S_{2}$, ${ }q_{2}^{2}S_{2}$, ${ }M_{2}$, ${ }q_{1}q_{2}S_{2}^{2}$, ${ }q_{1}^{2}S_{2}^{3}$, ${ }q_{1}q_{2}S_{2}^{3}$, ${ }q_{2}^{2}S_{2}^{3}$, ${ }q_{1}^{2}S_{2}^{3}$, ${ }q_{2}^{2}S_{2}^{3}$, ${ }M_{1}^{2}$, ${ }S_{1}S_{2}^{3}$, ${ }S_{2}^{8}$, ${ }X_{1}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{1}q_{2}S_{1}$, ${ }q_{2}^{2}S_{1}$, ${ }q_{1}^{2}S_{2}^{5}$, ${ }q_{1}q_{2}S_{2}^{5}$, ${ }q_{2}^{2}S_{2}^{5}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{1}^{2}S_{2}^{5}$, ${ }q_{2}^{2}S_{1}$, ${ }q_{2}^{2}S_{2}^{5}$ | ${}q_{1}^{2}S_{1}S_{2}$, ${ 2}q_{1}q_{2}S_{1}S_{2}$, ${ }q_{2}^{2}S_{1}S_{2}$, ${ }q_{1}^{4}S_{2}^{2}$, ${ }q_{1}^{3}q_{2}S_{2}^{2}$, ${ 2}q_{1}^{2}q_{2}^{2}S_{2}^{2}$, ${ }q_{1}q_{2}^{3}S_{2}^{2}$, ${ }q_{2}^{4}S_{2}^{2}$, ${ }M_{2}S_{2}^{4}$, ${ }q_{1}q_{2}S_{2}^{6}$ | 4 | 2*t^2.4 + 3*t^3. + t^3.6 + 3*t^4.2 + 4*t^4.8 + 6*t^5.4 + 4*t^6. + 6*t^6.6 + 12*t^7.2 + 9*t^7.8 + 13*t^8.4 + t^8.4/y^2 - t^3.6/y - t^4.8/y - (2*t^6.)/y - (3*t^6.6)/y - (2*t^7.2)/y - (2*t^7.8)/y + (3*t^8.4)/y - t^3.6*y - t^4.8*y - 2*t^6.*y - 3*t^6.6*y - 2*t^7.2*y - 2*t^7.8*y + 3*t^8.4*y + t^8.4*y^2 | 2*t^2.4 + t^3. + t^3./g1^2 + g1^2*t^3. + t^3.6 + t^4.2 + t^4.2/g1^2 + g1^2*t^4.2 + 4*t^4.8 + 2*t^5.4 + (2*t^5.4)/g1^2 + 2*g1^2*t^5.4 + 2*t^6. + t^6./g1^4 + g1^4*t^6. + 2*t^6.6 + (2*t^6.6)/g1^2 + 2*g1^2*t^6.6 + 8*t^7.2 + t^7.2/g1^4 + t^7.2/g1^2 + g1^2*t^7.2 + g1^4*t^7.2 + 3*t^7.8 + (3*t^7.8)/g1^2 + 3*g1^2*t^7.8 + 5*t^8.4 + (3*t^8.4)/g1^4 + t^8.4/g1^2 + g1^2*t^8.4 + 3*g1^4*t^8.4 + t^8.4/y^2 - t^3.6/y - t^4.8/y - (2*t^6.)/y - t^6.6/y - t^6.6/(g1^2*y) - (g1^2*t^6.6)/y - (2*t^7.2)/y - t^7.8/(g1^2*y) - (g1^2*t^7.8)/y - t^8.4/y + (2*t^8.4)/(g1^2*y) + (2*g1^2*t^8.4)/y - t^3.6*y - t^4.8*y - 2*t^6.*y - t^6.6*y - (t^6.6*y)/g1^2 - g1^2*t^6.6*y - 2*t^7.2*y - (t^7.8*y)/g1^2 - g1^2*t^7.8*y - t^8.4*y + (2*t^8.4*y)/g1^2 + 2*g1^2*t^8.4*y + t^8.4*y^2 |
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 |
---|---|---|---|---|---|---|---|---|
79650 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{1}M_{2}$ + ${ }S_{1}^{2}$ + ${ }S_{2}^{2}X_{1}$ + ${ }M_{1}M_{3}$ | 1.137 | 1.262 | 0.901 | [X:[1.6], M:[0.8, 1.2, 1.2], q:[0.4, 0.4], qb:[], phi:[], S:[1.0, 0.2], Sb:[], A:[], Ab:[]] | t^2.4 + 3*t^3. + 2*t^3.6 + 3*t^4.2 + 2*t^4.8 + 3*t^5.4 + 4*t^6. - t^3.6/y - t^4.8/y - t^6./y - t^3.6*y - t^4.8*y - t^6.*y | detail | {a: 1137/1000, c: 631/500, X1: 8/5, M1: 4/5, M2: 6/5, M3: 6/5, q1: 2/5, q2: 2/5, S1: 1, S2: 1/5} |
79620 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{1}M_{2}$ + ${ }S_{1}^{2}$ + ${ }S_{2}^{2}X_{1}$ + ${ }M_{3}q_{1}^{2}S_{2}$ | 1.1556 | 1.296 | 0.8917 | [X:[1.6], M:[0.8, 1.2, 0.9546], q:[0.4227, 0.3773], qb:[], phi:[], S:[1.0, 0.2], Sb:[], A:[], Ab:[]] | 2*t^2.4 + 2*t^2.864 + t^3. + t^3.6 + t^4.064 + t^4.2 + t^4.336 + 4*t^4.8 + 4*t^5.264 + 2*t^5.4 + 3*t^5.727 + t^5.864 + t^6. - t^3.6/y - t^4.8/y - (2*t^6.)/y - t^3.6*y - t^4.8*y - 2*t^6.*y | detail | |
79622 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{1}M_{2}$ + ${ }S_{1}^{2}$ + ${ }S_{2}^{2}X_{1}$ + ${ }q_{2}^{2}S_{2}^{5}$ | 1.113 | 1.2505 | 0.89 | [X:[1.6], M:[0.8, 1.2], q:[0.3, 0.5], qb:[], phi:[], S:[1.0, 0.2], Sb:[], A:[], Ab:[]] | 3*t^2.4 + t^3. + 3*t^3.6 + t^4.2 + 8*t^4.8 + 2*t^5.4 + 7*t^6. - t^3.6/y - t^4.8/y - (3*t^6.)/y - t^3.6*y - t^4.8*y - 3*t^6.*y | detail | {a: 1113/1000, c: 2501/2000, X1: 8/5, M1: 4/5, M2: 6/5, q1: 3/10, q2: 1/2, S1: 1, S2: 1/5} |
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 |
---|---|---|---|---|---|---|---|---|---|
8237 | Sp2adj1nf1 | ${}\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}q_{1}q_{2}$ + ${ }M_{1}^{2}$ | 1.1535 | 1.291 | 0.8935 | [X:[1.6], M:[1.0], q:[0.4, 0.4], qb:[], phi:[0.2]] | 2*t^2.4 + 3*t^3. + t^3.6 + 3*t^4.2 + 4*t^4.8 + 6*t^5.4 + 4*t^6. - t^3.6/y - t^4.8/y - (2*t^6.)/y - t^3.6*y - t^4.8*y - 2*t^6.*y | detail | {a: 2307/2000, c: 1291/1000, X1: 8/5, M1: 1, q1: 2/5, q2: 2/5, phi1: 1/5} |
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 |
---|---|---|---|---|---|---|---|---|---|
79510 | Sp2s2nf1 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}q_{1}q_{2}$ + ${ }M_{1}M_{2}$ | 2.229 | 2.404 | 0.9272 | [X:[], M:[0.8, 1.2], q:[0.4, 0.4], qb:[], phi:[], S:[0.6, 0.6], Sb:[], A:[], Ab:[]] | t^2.4 + 3*t^3.6 + 6*t^4.2 + t^4.8 + 2*t^6. - (2*t^4.8)/y - 2*t^4.8*y | detail | {a: 2229/1000, c: 601/250, M1: 4/5, M2: 6/5, q1: 2/5, q2: 2/5, S1: 3/5, S2: 3/5} |