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 |
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3985 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}M_{8}$ | 0.655 | 0.8071 | 0.8115 | [X:[1.3586], M:[1.0185, 1.0943, 1.17, 0.9815, 0.6414, 0.83, 0.7172, 1.0185], q:[0.7736, 0.3965], qb:[0.585, 0.4335], phi:[0.4529]] | [X:[[6]], M:[[-22], [-4], [14], [22], [-6], [-14], [12], [-22]], q:[[-1], [15]], qb:[[7], [-29]], phi:[[2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{7}$, ${ }M_{6}$, ${ }M_{1}$, ${ }M_{8}$, ${ }M_{2}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }X_{1}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{7}M_{8}$, ${ }M_{1}M_{6}$, ${ }M_{6}M_{8}$, ${ }M_{3}M_{7}$, ${ }M_{2}M_{6}$, ${ }M_{7}q_{1}\tilde{q}_{2}$ | ${}$ | -2 | t^2.152 + t^2.49 + 2*t^3.055 + t^3.283 + t^3.51 + t^3.621 + t^3.737 + t^3.959 + t^4.076 + 2*t^4.303 + t^4.414 + t^4.641 + t^4.869 + t^4.98 + 2*t^5.207 + t^5.545 + t^5.662 + 2*t^5.773 - 2*t^6. + 4*t^6.111 + t^6.227 + t^6.338 + t^6.449 + t^6.455 + 2*t^6.566 + 2*t^6.677 + 2*t^6.793 + 2*t^7.015 + t^7.02 + 2*t^7.131 + t^7.242 + 3*t^7.359 + 2*t^7.47 + t^7.475 + t^7.581 + t^7.586 + 2*t^7.697 + t^7.813 + t^7.919 + 2*t^7.924 + 2*t^8.035 + t^8.041 - 2*t^8.152 + 4*t^8.263 + t^8.374 + t^8.379 - t^8.49 + 2*t^8.601 + 2*t^8.606 + 3*t^8.828 + t^8.939 - t^4.359/y - t^6.51/y + t^7.303/y - t^7.414/y + t^7.641/y + (3*t^8.207)/y + t^8.434/y + (2*t^8.545)/y + (2*t^8.773)/y + t^8.889/y - t^4.359*y - t^6.51*y + t^7.303*y - t^7.414*y + t^7.641*y + 3*t^8.207*y + t^8.434*y + 2*t^8.545*y + 2*t^8.773*y + t^8.889*y | g1^12*t^2.152 + t^2.49/g1^14 + (2*t^3.055)/g1^22 + t^3.283/g1^4 + g1^14*t^3.51 + t^3.621/g1^30 + g1^32*t^3.737 + t^3.959/g1^56 + g1^6*t^4.076 + 2*g1^24*t^4.303 + t^4.414/g1^20 + t^4.641/g1^2 + g1^16*t^4.869 + t^4.98/g1^28 + (2*t^5.207)/g1^10 + t^5.545/g1^36 + g1^26*t^5.662 + (2*t^5.773)/g1^18 - 2*t^6. + (4*t^6.111)/g1^44 + g1^18*t^6.227 + t^6.338/g1^26 + t^6.449/g1^70 + g1^36*t^6.455 + (2*t^6.566)/g1^8 + (2*t^6.677)/g1^52 + 2*g1^10*t^6.793 + (2*t^7.015)/g1^78 + g1^28*t^7.02 + (2*t^7.131)/g1^16 + t^7.242/g1^60 + 3*g1^2*t^7.359 + (2*t^7.47)/g1^42 + g1^64*t^7.475 + t^7.581/g1^86 + g1^20*t^7.586 + (2*t^7.697)/g1^24 + g1^38*t^7.813 + t^7.919/g1^112 + (2*t^7.924)/g1^6 + (2*t^8.035)/g1^50 + g1^56*t^8.041 - 2*g1^12*t^8.152 + (4*t^8.263)/g1^32 + t^8.374/g1^76 + g1^30*t^8.379 - t^8.49/g1^14 + (2*t^8.601)/g1^58 + 2*g1^48*t^8.606 + (3*t^8.828)/g1^40 + t^8.939/g1^84 - (g1^2*t^4.359)/y - (g1^14*t^6.51)/y + (g1^24*t^7.303)/y - t^7.414/(g1^20*y) + t^7.641/(g1^2*y) + (3*t^8.207)/(g1^10*y) + (g1^8*t^8.434)/y + (2*t^8.545)/(g1^36*y) + (2*t^8.773)/(g1^18*y) + (g1^44*t^8.889)/y - g1^2*t^4.359*y - g1^14*t^6.51*y + g1^24*t^7.303*y - (t^7.414*y)/g1^20 + (t^7.641*y)/g1^2 + (3*t^8.207*y)/g1^10 + g1^8*t^8.434*y + (2*t^8.545*y)/g1^36 + (2*t^8.773*y)/g1^18 + g1^44*t^8.889*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 |
---|---|---|---|---|---|---|---|---|
5555 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}M_{8}$ + ${ }M_{9}\phi_{1}\tilde{q}_{2}^{2}$ | 0.6758 | 0.8481 | 0.7968 | [X:[1.3579], M:[1.0209, 1.0947, 1.1685, 0.9791, 0.6421, 0.8315, 0.7159, 1.0209, 0.6742], q:[0.7737, 0.3949], qb:[0.5843, 0.4366], phi:[0.4526]] | t^2.023 + t^2.148 + t^2.494 + 2*t^3.063 + t^3.284 + t^3.506 + t^3.631 + t^3.727 + t^4.045 + t^4.074 + t^4.17 + 2*t^4.295 + t^4.421 + t^4.517 + t^4.642 + t^4.864 + t^4.989 + 2*t^5.085 + 2*t^5.21 + t^5.307 + t^5.528 + t^5.557 + 2*t^5.653 + t^5.75 + 2*t^5.778 - 2*t^6. - t^4.358/y - t^4.358*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 |
---|---|---|---|---|---|---|---|---|---|
1597 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ + ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}\tilde{q}_{1}$ + ${ }M_{6}q_{1}q_{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{5}X_{1}$ + ${ }M_{7}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6577 | 0.8109 | 0.8111 | [X:[1.3529], M:[1.0392, 1.098, 1.1569, 0.9608, 0.6471, 0.8431, 0.7059], q:[0.7745, 0.3823], qb:[0.5784, 0.4608], phi:[0.451]] | t^2.118 + t^2.529 + t^2.882 + t^3.118 + t^3.294 + t^3.471 + t^3.647 + t^3.706 + t^4.059 + t^4.118 + 2*t^4.235 + t^4.471 + t^4.647 + t^4.823 + t^5. + t^5.059 + t^5.235 + t^5.412 + t^5.588 + t^5.765 + 2*t^5.824 - t^6. - t^4.353/y - t^4.353*y | detail |