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 |
---|---|---|---|---|---|---|---|---|---|
79513 | Sp2s2nf1 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}^{2}$ + ${ }M_{2}^{2}$ | 2.3699 | 2.4822 | 0.9548 | [X:[], M:[0.8802, 1.0], q:[0.6407, 0.6407], qb:[], phi:[], S:[0.5, 0.6198], Sb:[], A:[], Ab:[]] | [X:[], M:[[0, -1], [0, 0]], q:[[-1, -6], [1, 0]], qb:[], phi:[], S:[[0, 0], [0, 1]], Sb:[], A:[], Ab:[]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }M_{2}$, ${ }S_{2}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }q_{2}^{2}S_{1}$, ${ }q_{1}^{2}S_{1}$, ${ }q_{1}q_{2}S_{1}$, ${ }q_{1}^{2}S_{2}$, ${ }q_{1}q_{2}S_{2}$, ${ }q_{2}^{2}S_{2}$ | ${}S_{1}^{4}$ | -3 | t^2.641 + t^3. + t^3.719 + t^3.844 + t^5.281 + 3*t^5.344 + 3*t^5.704 - 3*t^6. + t^6.359 + t^6.485 + 3*t^6.719 + 2*t^6.844 + t^7.078 + 4*t^7.204 + 2*t^7.437 - 4*t^7.5 + 2*t^7.563 + t^7.689 - 4*t^7.859 + t^7.922 + 3*t^8.156 + 6*t^8.344 - 4*t^8.641 + 10*t^8.704 - t^4.5/y - t^4.859/y - (2*t^7.5)/y - (2*t^7.859)/y - (2*t^8.219)/y - t^8.344/y - (2*t^8.578)/y + t^8.641/y - t^8.704/y - t^4.5*y - t^4.859*y - 2*t^7.5*y - 2*t^7.859*y - 2*t^8.219*y - t^8.344*y - 2*t^8.578*y + t^8.641*y - t^8.704*y | t^2.641/g2 + t^3. + g2^2*t^3.719 + t^3.844/g2^6 + t^5.281/g2^2 + g1^2*t^5.344 + t^5.344/(g1^2*g2^12) + t^5.344/g2^6 + t^5.704/(g1^2*g2^11) + t^5.704/g2^5 + g1^2*g2*t^5.704 - t^6. - t^6./(g1^2*g2^6) - g1^2*g2^6*t^6. + g2*t^6.359 + t^6.485/g2^7 + 3*g2^2*t^6.719 + (2*t^6.844)/g2^6 + g2^3*t^7.078 + t^7.204/(g1^2*g2^11) + (2*t^7.204)/g2^5 + g1^2*g2*t^7.204 + 2*g2^4*t^7.437 - 2*t^7.5 - t^7.5/(g1^2*g2^6) - g1^2*g2^6*t^7.5 + (2*t^7.563)/g2^4 + t^7.689/g2^12 - t^7.859/(g1^2*g2^5) - 2*g2*t^7.859 - g1^2*g2^7*t^7.859 + t^7.922/g2^3 + t^8.156/g1^2 + g2^6*t^8.156 + g1^2*g2^12*t^8.156 + 2*g1^2*t^8.344 + (2*t^8.344)/(g1^2*g2^12) + (2*t^8.344)/g2^6 - t^8.641/(g1^2*g2^7) - (2*t^8.641)/g2 - g1^2*g2^5*t^8.641 + (3*t^8.704)/(g1^2*g2^11) + (4*t^8.704)/g2^5 + 3*g1^2*g2*t^8.704 - t^4.5/y - (g2*t^4.859)/y - (2*t^7.5)/y - (2*g2*t^7.859)/y - (2*g2^2*t^8.219)/y - t^8.344/(g2^6*y) - (2*g2^3*t^8.578)/y + t^8.641/(g2*y) - t^8.704/(g2^5*y) - t^4.5*y - g2*t^4.859*y - 2*t^7.5*y - 2*g2*t^7.859*y - 2*g2^2*t^8.219*y - (t^8.344*y)/g2^6 - 2*g2^3*t^8.578*y + (t^8.641*y)/g2 - (t^8.704*y)/g2^5 |
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 |
---|---|---|---|---|---|---|---|---|
79581 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }M_{3}q_{1}q_{2}$ | 2.3902 | 2.5187 | 0.949 | [X:[], M:[0.8826, 1.0, 0.7042], q:[0.6479, 0.6479], qb:[], phi:[], S:[0.5, 0.6174], Sb:[], A:[], Ab:[]] | t^2.113 + t^2.648 + t^3. + t^3.704 + t^4.225 + t^4.76 + t^5.113 + t^5.296 + 3*t^5.387 + 3*t^5.74 + t^5.817 - 3*t^6. - t^4.5/y - t^4.852/y - t^4.5*y - t^4.852*y | detail | |
79555 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }q_{1}q_{2}S_{1}$ | 2.3394 | 2.4175 | 0.9677 | [X:[], M:[0.9167, 1.0], q:[0.75, 0.75], qb:[], phi:[], S:[0.5, 0.5833], Sb:[], A:[], Ab:[]] | t^2.75 + t^3. + t^3.5 + t^4.5 + t^5.5 - t^4.5/y - t^4.75/y - t^4.5*y - t^4.75*y | detail | {a: 4791/2048, c: 4951/2048, M1: 11/12, M2: 1, q1: 3/4, q2: 3/4, S1: 1/2, S2: 7/12} |
79565 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }q_{1}q_{2}S_{2}$ | 2.3605 | 2.4543 | 0.9618 | [X:[], M:[0.9, 1.0], q:[0.7, 0.7], qb:[], phi:[], S:[0.5, 0.6], Sb:[], A:[], Ab:[]] | t^2.7 + t^3. + t^3.6 + t^4.2 + t^5.4 + 3*t^5.7 - t^4.5/y - t^4.8/y - t^4.5*y - t^4.8*y | detail | {a: 75537/32000, c: 78537/32000, M1: 9/10, M2: 1, q1: 7/10, q2: 7/10, S1: 1/2, S2: 3/5} |
79559 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }q_{1}^{2}S_{2}$ | 2.3664 | 2.4716 | 0.9574 | [X:[], M:[0.8877, 1.0], q:[0.6939, 0.6326], qb:[], phi:[], S:[0.5, 0.6123], Sb:[], A:[], Ab:[]] | t^2.663 + t^3. + t^3.674 + t^3.979 + t^5.295 + t^5.326 + t^5.479 + t^5.632 + t^5.663 - t^4.5/y - t^4.837/y - t^4.5*y - t^4.837*y | detail | |
79542 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}^{2}$ + ${ }M_{2}^{2}$ + ${ }q_{2}^{2}S_{1}$ | 2.3559 | 2.4523 | 0.9607 | [X:[], M:[0.8972, 1.0], q:[0.6329, 0.75], qb:[], phi:[], S:[0.5, 0.6028], Sb:[], A:[], Ab:[]] | t^2.691 + t^3. + t^3.617 + t^4.149 + t^5.298 + t^5.383 + t^5.606 + t^5.957 - t^4.5/y - t^4.809/y - t^4.5*y - t^4.809*y | detail |
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 |
---|---|---|---|---|---|---|---|---|---|
79490 | Sp2s2nf1 | ${}M_{1}S_{1}S_{2}$ + ${ }M_{2}S_{1}^{2}$ | 2.4106 | 2.5416 | 0.9485 | [X:[], M:[0.8703, 0.8499], q:[0.6109, 0.6109], qb:[], phi:[], S:[0.575, 0.5547], Sb:[], A:[], Ab:[]] | t^2.55 + t^2.611 + t^3.328 + t^3.666 + t^5.1 + t^5.161 + t^5.222 + 3*t^5.33 + 3*t^5.391 + t^5.878 - 5*t^6. - t^4.664/y - t^4.725/y - t^4.664*y - t^4.725*y | detail |