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 |
---|---|---|---|---|---|---|---|---|---|
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]] | [X:[[0, 0, 2]], M:[[-1, 1, -4], [1, -1, -2]], q:[[0, -1, 4], [-1, 0, 2]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 | {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} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}^{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{6}$, ${ }M_{2}\phi_{1}^{3}$, ${ }M_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$ | ${}\phi_{1}^{4}q_{1}\tilde{q}_{2}$ | -2 | 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. + 6*t^6.409 + 6*t^6.818 + 8*t^6.864 + t^7.636 + 8*t^7.682 + 6*t^7.727 + 10*t^7.773 + 2*t^8.091 - 2*t^8.136 + t^8.5 + 10*t^8.545 - 7*t^8.591 + 8*t^8.955 + t^8.591/y^2 - t^3.864/y - t^4.727/y - t^6.409/y - (3*t^6.455)/y - t^7.273/y - (3*t^7.318)/y + t^8.136/y + (3*t^8.182)/y - t^3.864*y - t^4.727*y - t^6.409*y - 3*t^6.455*y - t^7.273*y - 3*t^7.318*y + t^8.136*y + 3*t^8.182*y + t^8.591*y^2 | g3^4*t^2.545 + (g2*t^2.591)/(g1*g3^4) + t^2.591/g3^3 + (g1*t^2.591)/(g2*g3^2) + g3^3*t^3.409 + (g2*g3*t^4.273)/g1 + 3*g3^2*t^4.273 + (g1*g3^3*t^4.273)/g2 + g3^8*t^5.091 + (g2*t^5.136)/g1 + 2*g3*t^5.136 + (g1*g3^2*t^5.136)/g2 + (g2^2*t^5.182)/(g1^2*g3^8) + (g2*t^5.182)/(g1*g3^7) + (2*t^5.182)/g3^6 + (g1*t^5.182)/(g2*g3^5) + (g1^2*t^5.182)/(g2^2*g3^4) + (g1*g2^2*t^5.545)/g3 + (g3^9*t^5.545)/(g1*g2^2) + g3^7*t^5.955 - 2*t^6. + (g2^3*t^6.409)/g3^3 + (g1*g2^2*t^6.409)/g3^2 + (g1^2*g2*t^6.409)/g3 + (g3^7*t^6.409)/(g1^2*g2) + (g3^8*t^6.409)/(g1*g2^2) + (g3^9*t^6.409)/g2^3 + (g2*g3^5*t^6.818)/g1 + 4*g3^6*t^6.818 + (g1*g3^7*t^6.818)/g2 + (2*g1*t^6.864)/g2 + (g2^2*t^6.864)/(g1^2*g3^3) + (2*g2*t^6.864)/(g1*g3^2) + (2*t^6.864)/g3 + (g1^2*g3*t^6.864)/g2^2 + g3^12*t^7.636 + (2*g2*g3^4*t^7.682)/g1 + 4*g3^5*t^7.682 + (2*g1*g3^6*t^7.682)/g2 + (g1^2*t^7.727)/g2^2 + (g2^2*t^7.727)/(g1^2*g3^4) + (g2*t^7.727)/(g1*g3^3) + (2*t^7.727)/g3^2 + (g1*t^7.727)/(g2*g3) + (g2^3*t^7.773)/(g1^3*g3^12) + (g2^2*t^7.773)/(g1^2*g3^11) + (2*g2*t^7.773)/(g1*g3^10) + (2*t^7.773)/g3^9 + (2*g1*t^7.773)/(g2*g3^8) + (g1^2*t^7.773)/(g2^2*g3^7) + (g1^3*t^7.773)/(g2^3*g3^6) + g1*g2^2*g3^3*t^8.091 + (g3^13*t^8.091)/(g1*g2^2) - (g1*g2^2*t^8.136)/g3^4 - (g3^6*t^8.136)/(g1*g2^2) + g3^11*t^8.5 + (g2^2*g3^2*t^8.545)/g1^2 + (2*g2*g3^3*t^8.545)/g1 + 4*g3^4*t^8.545 + (2*g1*g3^5*t^8.545)/g2 + (g1^2*g3^6*t^8.545)/g2^2 - (3*g2*t^8.591)/(g1*g3^4) - t^8.591/g3^3 - (3*g1*t^8.591)/(g2*g3^2) + g2^3*g3*t^8.955 + 2*g1*g2^2*g3^2*t^8.955 + g1^2*g2*g3^3*t^8.955 + (g3^11*t^8.955)/(g1^2*g2) + (2*g3^12*t^8.955)/(g1*g2^2) + (g3^13*t^8.955)/g2^3 + t^8.591/(g3^3*y^2) - t^3.864/(g3*y) - t^4.727/(g3^2*y) - (g3^3*t^6.409)/y - (g2*t^6.455)/(g1*g3^5*y) - t^6.455/(g3^4*y) - (g1*t^6.455)/(g2*g3^3*y) - (g3^2*t^7.273)/y - (g2*t^7.318)/(g1*g3^6*y) - t^7.318/(g3^5*y) - (g1*t^7.318)/(g2*g3^4*y) + (g2*t^8.136)/(g1*y) - (g3*t^8.136)/y + (g1*g3^2*t^8.136)/(g2*y) + (g2*t^8.182)/(g1*g3^7*y) + t^8.182/(g3^6*y) + (g1*t^8.182)/(g2*g3^5*y) - (t^3.864*y)/g3 - (t^4.727*y)/g3^2 - g3^3*t^6.409*y - (g2*t^6.455*y)/(g1*g3^5) - (t^6.455*y)/g3^4 - (g1*t^6.455*y)/(g2*g3^3) - g3^2*t^7.273*y - (g2*t^7.318*y)/(g1*g3^6) - (t^7.318*y)/g3^5 - (g1*t^7.318*y)/(g2*g3^4) + (g2*t^8.136*y)/g1 - g3*t^8.136*y + (g1*g3^2*t^8.136*y)/g2 + (g2*t^8.182*y)/(g1*g3^7) + (t^8.182*y)/g3^6 + (g1*t^8.182*y)/(g2*g3^5) + (t^8.591*y^2)/g3^3 |
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 |
---|---|---|---|---|---|---|---|---|
57955 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}^{3}$ | 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]] | 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 - t^3.96/y - t^4.92/y - t^3.96*y - t^4.92*y | detail | |
57958 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{2}$ | 1.3636 | 1.5415 | 0.8846 | [X:[1.4362], M:[0.8458, 0.8458, 0.8458], q:[0.4362, 0.7181], qb:[0.7181, 0.4362], phi:[0.2819]] | 4*t^2.54 + t^2.62 + 5*t^4.31 + 10*t^5.07 + 5*t^5.15 + t^5.23 + 2*t^5.62 - 5*t^6. - t^3.85/y - t^4.69/y - t^3.85*y - t^4.69*y | detail | |
57957 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}^{2}\tilde{q}_{2}^{2}$ | 1.3508 | 1.5204 | 0.8884 | [X:[1.4286], M:[0.8571, 0.8571], q:[0.4286, 0.7143], qb:[0.7143, 0.4286], phi:[0.2857]] | 4*t^2.57 + t^3.43 + 5*t^4.29 + 11*t^5.14 + 2*t^5.57 - t^6. - t^3.86/y - t^4.71/y - t^3.86*y - t^4.71*y | detail | {a: 1059/784, c: 149/98, X1: 10/7, M1: 6/7, M2: 6/7, q1: 3/7, q2: 5/7, qb1: 5/7, qb2: 3/7, phi1: 2/7} |
57956 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$ | 1.3432 | 1.5094 | 0.8899 | [X:[1.4467], M:[0.8299, 0.8299], q:[0.4112, 0.6878], qb:[0.7589, 0.4822], phi:[0.2766]] | 3*t^2.49 + t^2.68 + t^3.51 + 5*t^4.34 + 6*t^4.98 + 4*t^5.17 + 2*t^5.36 - t^6. - t^3.83/y - t^4.66/y - t^3.83*y - t^4.66*y | detail | |
57954 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$ + ${ }q_{1}^{2}\tilde{q}_{2}^{2}$ | 1.3242 | 1.4805 | 0.8945 | [X:[1.5], M:[0.75, 0.75], q:[0.5, 0.75], qb:[0.75, 0.5], phi:[0.25]] | 3*t^2.25 + t^3. + t^3.75 + 11*t^4.5 + 4*t^5.25 + t^6. - t^3.75/y - t^4.5/y - (3*t^6.)/y - t^3.75*y - t^4.5*y - 3*t^6.*y | detail | {a: 339/256, c: 379/256, X1: 3/2, M1: 3/4, M2: 3/4, q1: 1/2, q2: 3/4, qb1: 3/4, qb2: 1/2, phi1: 1/4} |
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 |
---|---|---|---|---|---|---|---|---|---|
47885 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ | 1.4561 | 1.6383 | 0.8888 | [X:[1.3617], M:[0.9574, 0.9574], q:[0.5213, 0.5213], qb:[0.5213, 0.5213], phi:[0.3191]] | 3*t^2.872 + 2*t^3.128 + 5*t^4.085 + 4*t^5.043 + 4*t^5.649 + 6*t^5.744 - 2*t^6. - t^3.957/y - t^4.915/y - t^3.957*y - t^4.915*y | detail |