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 |
---|---|---|---|---|---|---|---|---|---|
46696 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ | 0.6254 | 0.8161 | 0.7663 | [M:[0.9488, 0.8464, 1.0512, 0.7304], q:[0.7372, 0.314], qb:[0.4164, 0.43], phi:[0.5256]] | [M:[[4], [12], [-4], [-18]], q:[[1], [-5]], qb:[[-13], [25]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}q_{2}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\tilde{q}_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{3}\tilde{q}_{2}$, ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$ | ${}\phi_{1}q_{2}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | -1 | 2*t^2.191 + t^2.232 + 2*t^2.539 + 2*t^3.154 + t^3.461 + t^3.502 + t^3.768 + t^4.075 + t^4.116 + t^4.157 + 3*t^4.382 + 2*t^4.423 + t^4.464 + 4*t^4.73 + 2*t^4.771 + 3*t^5.078 + 4*t^5.345 + 2*t^5.386 + t^5.652 + 5*t^5.693 + t^5.734 + t^5.959 - t^6. + t^6.041 + 2*t^6.266 + 4*t^6.307 + t^6.348 + t^6.389 + 4*t^6.573 + 5*t^6.614 + 4*t^6.655 + 3*t^6.696 + 6*t^6.922 + 2*t^6.962 + 2*t^7.003 + t^7.229 + 5*t^7.27 + 4*t^7.311 + 6*t^7.536 + t^7.577 + 5*t^7.618 + t^7.659 + 2*t^7.843 + 6*t^7.884 + 3*t^7.925 + t^7.966 + 2*t^8.15 - 4*t^8.191 + 4*t^8.232 + 2*t^8.273 + t^8.314 + 3*t^8.457 + 5*t^8.498 - 2*t^8.539 + 2*t^8.58 + t^8.621 + 5*t^8.765 + 6*t^8.806 + 7*t^8.846 + 4*t^8.887 + 3*t^8.928 - t^4.577/y - t^6.768/y - t^7.116/y + t^7.382/y + (3*t^7.423)/y + (3*t^7.73)/y + (2*t^7.771)/y + t^8.038/y + t^8.078/y + (4*t^8.345)/y + (3*t^8.386)/y + (2*t^8.652)/y + (7*t^8.693)/y + t^8.734/y + t^8.959/y - t^4.577*y - t^6.768*y - t^7.116*y + t^7.382*y + 3*t^7.423*y + 3*t^7.73*y + 2*t^7.771*y + t^8.038*y + t^8.078*y + 4*t^8.345*y + 3*t^8.386*y + 2*t^8.652*y + 7*t^8.693*y + t^8.734*y + t^8.959*y | (2*t^2.191)/g1^18 + g1^20*t^2.232 + 2*g1^12*t^2.539 + (2*t^3.154)/g1^4 + t^3.461/g1^12 + g1^26*t^3.502 + t^3.768/g1^20 + t^4.075/g1^28 + g1^10*t^4.116 + g1^48*t^4.157 + (3*t^4.382)/g1^36 + 2*g1^2*t^4.423 + g1^40*t^4.464 + (4*t^4.73)/g1^6 + 2*g1^32*t^4.771 + 3*g1^24*t^5.078 + (4*t^5.345)/g1^22 + 2*g1^16*t^5.386 + t^5.652/g1^30 + 5*g1^8*t^5.693 + g1^46*t^5.734 + t^5.959/g1^38 - t^6. + g1^38*t^6.041 + (2*t^6.266)/g1^46 + (4*t^6.307)/g1^8 + g1^30*t^6.348 + g1^68*t^6.389 + (4*t^6.573)/g1^54 + (5*t^6.614)/g1^16 + 4*g1^22*t^6.655 + 3*g1^60*t^6.696 + (6*t^6.922)/g1^24 + 2*g1^14*t^6.962 + 2*g1^52*t^7.003 + t^7.229/g1^32 + 5*g1^6*t^7.27 + 4*g1^44*t^7.311 + (6*t^7.536)/g1^40 + t^7.577/g1^2 + 5*g1^36*t^7.618 + g1^74*t^7.659 + (2*t^7.843)/g1^48 + (6*t^7.884)/g1^10 + 3*g1^28*t^7.925 + g1^66*t^7.966 + (2*t^8.15)/g1^56 - (4*t^8.191)/g1^18 + 4*g1^20*t^8.232 + 2*g1^58*t^8.273 + g1^96*t^8.314 + (3*t^8.457)/g1^64 + (5*t^8.498)/g1^26 - 2*g1^12*t^8.539 + 2*g1^50*t^8.58 + g1^88*t^8.621 + (5*t^8.765)/g1^72 + (6*t^8.806)/g1^34 + 7*g1^4*t^8.846 + 4*g1^42*t^8.887 + 3*g1^80*t^8.928 - t^4.577/(g1^2*y) - t^6.768/(g1^20*y) - (g1^10*t^7.116)/y + t^7.382/(g1^36*y) + (3*g1^2*t^7.423)/y + (3*t^7.73)/(g1^6*y) + (2*g1^32*t^7.771)/y + t^8.038/(g1^14*y) + (g1^24*t^8.078)/y + (4*t^8.345)/(g1^22*y) + (3*g1^16*t^8.386)/y + (2*t^8.652)/(g1^30*y) + (7*g1^8*t^8.693)/y + (g1^46*t^8.734)/y + t^8.959/(g1^38*y) - (t^4.577*y)/g1^2 - (t^6.768*y)/g1^20 - g1^10*t^7.116*y + (t^7.382*y)/g1^36 + 3*g1^2*t^7.423*y + (3*t^7.73*y)/g1^6 + 2*g1^32*t^7.771*y + (t^8.038*y)/g1^14 + g1^24*t^8.078*y + (4*t^8.345*y)/g1^22 + 3*g1^16*t^8.386*y + (2*t^8.652*y)/g1^30 + 7*g1^8*t^8.693*y + g1^46*t^8.734*y + (t^8.959*y)/g1^38 |
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 |
---|---|---|---|---|---|---|---|---|
47100 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ | 0.6406 | 0.843 | 0.7599 | [M:[0.9525, 0.8575, 1.0475, 0.7138, 0.8088], q:[0.7381, 0.3094], qb:[0.4044, 0.4531], phi:[0.5238]] | 2*t^2.141 + t^2.287 + t^2.426 + 2*t^2.572 + 2*t^3.143 + t^3.428 + t^3.713 + t^3.998 + t^4.144 + 3*t^4.283 + t^4.29 + 2*t^4.429 + 2*t^4.568 + t^4.575 + 5*t^4.714 + t^4.853 + 2*t^4.86 + 2*t^4.999 + 3*t^5.145 + 4*t^5.284 + 2*t^5.43 + 3*t^5.569 + 3*t^5.715 + 2*t^5.854 - t^6. - t^4.571/y - t^4.571*y | detail | |
48160 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$ | 0.6221 | 0.8123 | 0.7658 | [M:[0.9565, 0.8696, 1.0435, 0.6957], q:[0.7391, 0.3043], qb:[0.3913, 0.4783], phi:[0.5217]] | 2*t^2.087 + t^2.348 + 2*t^2.609 + 2*t^3.13 + t^3.391 + 2*t^3.652 + t^3.913 + 4*t^4.174 + 3*t^4.435 + 5*t^4.696 + 2*t^4.957 + 7*t^5.217 + 3*t^5.478 + 6*t^5.739 + 2*t^6. - t^4.565/y - t^4.565*y | detail | {a: 60555/97336, c: 39535/48668, M1: 22/23, M2: 20/23, M3: 24/23, M4: 16/23, q1: 17/23, q2: 7/23, qb1: 9/23, qb2: 11/23, phi1: 12/23} |
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 |
---|---|---|---|---|---|---|---|---|---|
46189 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{1}\phi_{1}^{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{3}$ | 0.6057 | 0.7801 | 0.7765 | [M:[0.9474, 0.8422, 1.0526], q:[0.7368, 0.3158], qb:[0.421, 0.4212], phi:[0.5263]] | t^2.21 + t^2.211 + 2*t^2.526 + 2*t^3.158 + 2*t^3.474 + t^3.789 + t^3.79 + 2*t^4.105 + t^4.106 + 2*t^4.421 + t^4.422 + 4*t^4.737 + 3*t^5.053 + 2*t^5.368 + 2*t^5.369 + 4*t^5.684 + t^5.685 - t^4.579/y - t^4.579*y | detail |