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 |
---|---|---|---|---|---|---|---|---|---|
57955 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.3244 | 1.5066 | 0.879 | [X:[1.3613], M:[1.042, 0.8741], q:[0.3333, 0.7366], qb:[0.6247, 0.3893], phi:[0.3193]] | [X:[[0, 2]], M:[[0, 3], [0, -9]], q:[[-1, 4], [-1, 9]], qb:[[1, -7], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{1}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}^{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{6}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}^{3}q_{1}^{3}$ | ${}\phi_{1}^{4}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0 | t^2.17 + t^2.62 + t^2.87 + 2*t^3.13 + t^3.83 + 3*t^4.08 + 2*t^4.34 + t^4.79 + 2*t^5.04 + 2*t^5.17 + t^5.24 + 2*t^5.29 + t^5.5 + 2*t^5.75 + 2*t^5.87 + 2*t^6.13 + 5*t^6.25 + 2*t^6.38 + t^6.45 + 2*t^6.5 + 2*t^6.71 + 4*t^6.96 + 6*t^7.21 + 2*t^7.34 + t^7.41 + 4*t^7.46 + 2*t^7.66 + t^7.87 + 4*t^7.92 + t^8.12 + 6*t^8.17 + 4*t^8.29 + 2*t^8.37 + 7*t^8.42 + 2*t^8.5 + 2*t^8.55 + 3*t^8.67 + 2*t^8.75 + 3*t^8.87 + t^8.87/y^2 - t^3.96/y - t^4.92/y - t^6.13/y - t^6.58/y - t^6.83/y - (2*t^7.08)/y - t^7.54/y - (2*t^8.04)/y + t^8.29/y + t^8.5/y + t^8.75/y - t^3.96*y - t^4.92*y - t^6.13*y - t^6.58*y - t^6.83*y - 2*t^7.08*y - t^7.54*y - 2*t^8.04*y + t^8.29*y + t^8.5*y + t^8.75*y + t^8.87*y^2 | g2^4*t^2.17 + t^2.62/g2^9 + t^2.87/g2^3 + 2*g2^3*t^3.13 + t^3.83/g2^4 + 3*g2^2*t^4.08 + 2*g2^8*t^4.34 + t^4.79/g2^5 + 2*g2*t^5.04 + (g1^3*t^5.17)/g2^8 + (g2^16*t^5.17)/g1^3 + t^5.24/g2^18 + 2*g2^7*t^5.29 + t^5.5/g2^12 + (2*t^5.75)/g2^6 + (g1^3*t^5.87)/g2^15 + (g2^9*t^5.87)/g1^3 + (g1^3*t^6.13)/g2^9 + (g2^15*t^6.13)/g1^3 + 5*g2^6*t^6.25 + (g1^3*t^6.38)/g2^3 + (g2^21*t^6.38)/g1^3 + t^6.45/g2^13 + 2*g2^12*t^6.5 + (2*t^6.71)/g2^7 + (4*t^6.96)/g2 + 6*g2^5*t^7.21 + (g1^3*t^7.34)/g2^4 + (g2^20*t^7.34)/g1^3 + t^7.41/g2^14 + 4*g2^11*t^7.46 + (2*t^7.66)/g2^8 + t^7.87/g2^27 + (4*t^7.92)/g2^2 + t^8.12/g2^21 + 6*g2^4*t^8.17 + (2*g1^3*t^8.29)/g2^5 + (2*g2^19*t^8.29)/g1^3 + (2*t^8.37)/g2^15 + 7*g2^10*t^8.42 + t^8.5/g1^3 + (g1^3*t^8.5)/g2^24 + g1^3*g2*t^8.55 + (g2^25*t^8.55)/g1^3 + 3*g2^16*t^8.67 + (g1^3*t^8.75)/g2^18 + (g2^6*t^8.75)/g1^3 + (3*t^8.87)/g2^3 + t^8.87/(g2^3*y^2) - t^3.96/(g2*y) - t^4.92/(g2^2*y) - (g2^3*t^6.13)/y - t^6.58/(g2^10*y) - t^6.83/(g2^4*y) - (2*g2^2*t^7.08)/y - t^7.54/(g2^11*y) - (2*g2*t^8.04)/y + (g2^7*t^8.29)/y + t^8.5/(g2^12*y) + t^8.75/(g2^6*y) - (t^3.96*y)/g2 - (t^4.92*y)/g2^2 - g2^3*t^6.13*y - (t^6.58*y)/g2^10 - (t^6.83*y)/g2^4 - 2*g2^2*t^7.08*y - (t^7.54*y)/g2^11 - 2*g2*t^8.04*y + g2^7*t^8.29*y + (t^8.5*y)/g2^12 + (t^8.75*y)/g2^6 + (t^8.87*y^2)/g2^3 |
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 |
---|---|---|---|---|---|---|---|---|
61121 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{1}$ | 1.3444 | 1.5446 | 0.8704 | [X:[1.3595], M:[1.0393, 0.8821, 0.7191], q:[0.3333, 0.7322], qb:[0.6274, 0.3857], phi:[0.3202]] | 2*t^2.16 + t^2.65 + t^2.88 + 2*t^3.12 + 3*t^4.08 + 4*t^4.31 + 2*t^4.8 + 3*t^5.04 + 2*t^5.16 + 4*t^5.28 + t^5.29 + t^5.53 + 2*t^5.76 + 2*t^5.88 - t^6. - t^3.96/y - t^4.92/y - t^3.96*y - t^4.92*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 |
---|---|---|---|---|---|---|---|---|---|
57303 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ | 1.3509 | 1.5213 | 0.888 | [X:[1.4242], M:[0.8636, 0.8636], q:[0.4242, 0.7121], qb:[0.7121, 0.4242], phi:[0.2879]] | t^2.545 + 3*t^2.591 + t^3.409 + 5*t^4.273 + t^5.091 + 4*t^5.136 + 6*t^5.182 + 2*t^5.545 + t^5.955 - 2*t^6. - t^3.864/y - t^4.727/y - t^3.864*y - t^4.727*y | detail | {a: 951/704, c: 1071/704, X1: 47/33, M1: 19/22, M2: 19/22, q1: 14/33, q2: 47/66, qb1: 47/66, qb2: 14/33, phi1: 19/66} |