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 |
---|---|---|---|---|---|---|---|---|---|
46868 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}^{2}$ + ${ }M_{4}M_{5}$ | 0.737 | 0.9112 | 0.8089 | [M:[0.8973, 0.7712, 0.8739, 1.0, 1.0, 0.7712, 1.1144], q:[0.5513, 0.5513], qb:[0.6775, 0.4487], phi:[0.4428]] | [M:[[0, 0, 8], [1, -4, 8], [0, -4, -4], [-1, 0, -4], [1, 0, 4], [-1, -4, 0], [0, 2, -2]], q:[[-1, 0, -8], [1, 0, 0]], qb:[[0, 4, 0], [0, 0, 4]], phi:[[0, -1, 1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{6}$, ${ }M_{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{5}$, ${ }M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{6}$, ${ }M_{2}M_{3}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{5}$, ${ }M_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}M_{7}$, ${ }M_{2}M_{7}$, ${ }M_{3}M_{7}$ | ${}M_{4}^{2}$, ${ }M_{5}^{2}$ | -3 | 2*t^2.314 + t^2.622 + t^2.692 + 2*t^3. + t^3.343 + t^4.02 + 2*t^4.328 + 3*t^4.627 + 3*t^4.636 + t^4.707 + 2*t^4.935 + 2*t^5.006 + 2*t^5.015 + t^5.243 + 4*t^5.314 + t^5.384 + t^5.393 + 2*t^5.657 + t^5.965 - 3*t^6. + t^6.035 - 2*t^6.308 + 2*t^6.334 + 2*t^6.343 - 2*t^6.378 + 4*t^6.642 - t^6.686 + t^6.712 + 4*t^6.941 + 6*t^6.95 + 4*t^7.02 + 3*t^7.249 + 3*t^7.258 + 3*t^7.319 + 6*t^7.328 + t^7.399 + 2*t^7.557 + 6*t^7.627 + 4*t^7.636 + 2*t^7.698 + 2*t^7.707 + t^7.865 + t^7.935 + 3*t^7.97 - t^8.015 + t^8.041 + t^8.076 + t^8.085 + 2*t^8.278 - 8*t^8.314 - 2*t^8.323 + 4*t^8.349 + t^8.586 - 9*t^8.622 + 3*t^8.648 + 7*t^8.657 - 8*t^8.692 - t^8.701 + 2*t^8.727 - 2*t^8.93 + 6*t^8.956 + 4*t^8.965 - t^4.328/y - (2*t^6.642)/y - t^6.95/y - t^7.02/y + t^7.627/y + t^7.636/y + t^7.707/y + (2*t^7.935)/y + (2*t^8.006)/y + (2*t^8.015)/y + (5*t^8.314)/y + (2*t^8.622)/y + (2*t^8.657)/y + (2*t^8.692)/y - (3*t^8.956)/y + t^8.965/y - t^4.328*y - 2*t^6.642*y - t^6.95*y - t^7.02*y + t^7.627*y + t^7.636*y + t^7.707*y + 2*t^7.935*y + 2*t^8.006*y + 2*t^8.015*y + 5*t^8.314*y + 2*t^8.622*y + 2*t^8.657*y + 2*t^8.692*y - 3*t^8.956*y + t^8.965*y | t^2.314/(g1*g2^4) + (g1*g3^8*t^2.314)/g2^4 + t^2.622/(g2^4*g3^4) + g3^8*t^2.692 + t^3./(g1*g3^4) + g1*g3^4*t^3. + (g2^2*t^3.343)/g3^2 + (g3^9*t^4.02)/g2 + t^4.328/(g1*g2*g3^3) + (g1*g3^5*t^4.328)/g2 + t^4.627/(g1^2*g2^8) + (g3^8*t^4.627)/g2^8 + (g1^2*g3^16*t^4.627)/g2^8 + t^4.636/(g1^2*g2*g3^15) + t^4.636/(g2*g3^7) + (g1^2*g3*t^4.636)/g2 + g2^3*g3^5*t^4.707 + t^4.935/(g1*g2^8*g3^4) + (g1*g3^4*t^4.935)/g2^8 + (g3^8*t^5.006)/(g1*g2^4) + (g1*g3^16*t^5.006)/g2^4 + (g2^3*t^5.015)/(g1*g3^7) + g1*g2^3*g3*t^5.015 + t^5.243/(g2^8*g3^8) + t^5.314/(g1^2*g2^4*g3^4) + (2*g3^4*t^5.314)/g2^4 + (g1^2*g3^12*t^5.314)/g2^4 + g3^16*t^5.384 + g2^7*g3*t^5.393 + t^5.657/(g1*g2^2*g3^2) + (g1*g3^6*t^5.657)/g2^2 + t^5.965/(g2^2*g3^6) - 3*t^6. + g2^2*g3^6*t^6.035 - t^6.308/(g1*g3^12) - (g1*t^6.308)/g3^4 + (g3^9*t^6.334)/(g1*g2^5) + (g1*g3^17*t^6.334)/g2^5 + (g2^2*t^6.343)/(g1*g3^6) + g1*g2^2*g3^2*t^6.343 - (g2^4*t^6.378)/g1 - g1*g2^4*g3^8*t^6.378 + t^6.642/(g1^2*g2^5*g3^3) + (2*g3^5*t^6.642)/g2^5 + (g1^2*g3^13*t^6.642)/g2^5 - (g2^4*t^6.686)/g3^4 + (g3^17*t^6.712)/g2 + t^6.941/(g1^3*g2^12) + (g3^8*t^6.941)/(g1*g2^12) + (g1*g3^16*t^6.941)/g2^12 + (g1^3*g3^24*t^6.941)/g2^12 + t^6.95/(g1^3*g2^5*g3^15) + (2*t^6.95)/(g1*g2^5*g3^7) + (2*g1*g3*t^6.95)/g2^5 + (g1^3*g3^9*t^6.95)/g2^5 + (2*g3^5*t^7.02)/(g1*g2) + (2*g1*g3^13*t^7.02)/g2 + t^7.249/(g1^2*g2^12*g3^4) + (g3^4*t^7.249)/g2^12 + (g1^2*g3^12*t^7.249)/g2^12 + t^7.258/(g1^2*g2^5*g3^19) + t^7.258/(g2^5*g3^11) + (g1^2*t^7.258)/(g2^5*g3^3) + (g3^8*t^7.319)/(g1^2*g2^8) + (g3^16*t^7.319)/g2^8 + (g1^2*g3^24*t^7.319)/g2^8 + (2*t^7.328)/(g1^2*g2*g3^7) + (2*g3*t^7.328)/g2 + (2*g1^2*g3^9*t^7.328)/g2 + g2^3*g3^13*t^7.399 + (g1*t^7.557)/g2^12 + t^7.557/(g1*g2^12*g3^8) + t^7.627/(g1^3*g2^8*g3^4) + (2*g3^4*t^7.627)/(g1*g2^8) + (2*g1*g3^12*t^7.627)/g2^8 + (g1^3*g3^20*t^7.627)/g2^8 + t^7.636/(g1^3*g2*g3^19) + t^7.636/(g1*g2*g3^11) + (g1*t^7.636)/(g2*g3^3) + (g1^3*g3^5*t^7.636)/g2 + (g3^16*t^7.698)/(g1*g2^4) + (g1*g3^24*t^7.698)/g2^4 + (g2^3*g3*t^7.707)/g1 + g1*g2^3*g3^9*t^7.707 + t^7.865/(g2^12*g3^12) + t^7.935/g2^8 + t^7.97/(g1^2*g2^6*g3^2) + (g3^6*t^7.97)/g2^6 + (g1^2*g3^14*t^7.97)/g2^6 - (g2^3*t^8.015)/g3^3 + (g3^18*t^8.041)/g2^2 + g3^24*t^8.076 + g2^7*g3^9*t^8.085 + t^8.278/(g1*g2^6*g3^6) + (g1*g3^2*t^8.278)/g2^6 - (4*t^8.314)/(g1*g2^4) - (4*g1*g3^8*t^8.314)/g2^4 - (g2^3*t^8.323)/(g1*g3^15) - (g1*g2^3*t^8.323)/g3^7 + (2*g3^6*t^8.349)/(g1*g2^2) + (2*g1*g3^14*t^8.349)/g2^2 + t^8.586/(g2^6*g3^10) - (2*t^8.622)/(g1^2*g2^4*g3^12) - (5*t^8.622)/(g2^4*g3^4) - (2*g1^2*g3^4*t^8.622)/g2^4 + (g3^9*t^8.648)/(g1^2*g2^9) + (g3^17*t^8.648)/g2^9 + (g1^2*g3^25*t^8.648)/g2^9 + (2*t^8.657)/(g1^2*g2^2*g3^6) + (3*g3^2*t^8.657)/g2^2 + (2*g1^2*g3^10*t^8.657)/g2^2 - t^8.692/g1^2 - 6*g3^8*t^8.692 - g1^2*g3^16*t^8.692 - (g2^7*t^8.701)/g3^7 + 2*g2^2*g3^14*t^8.727 - t^8.93/(g1*g2^4*g3^16) - (g1*t^8.93)/(g2^4*g3^8) + t^8.956/(g1^3*g2^9*g3^3) + (2*g3^5*t^8.956)/(g1*g2^9) + (2*g1*g3^13*t^8.956)/g2^9 + (g1^3*g3^21*t^8.956)/g2^9 + t^8.965/(g1^3*g2^2*g3^18) + t^8.965/(g1*g2^2*g3^10) + (g1*t^8.965)/(g2^2*g3^2) + (g1^3*g3^6*t^8.965)/g2^2 - (g3*t^4.328)/(g2*y) - (g3*t^6.642)/(g1*g2^5*y) - (g1*g3^9*t^6.642)/(g2^5*y) - t^6.95/(g2^5*g3^3*y) - (g3^9*t^7.02)/(g2*y) + (g3^8*t^7.627)/(g2^8*y) + t^7.636/(g2*g3^7*y) + (g2^3*g3^5*t^7.707)/y + t^7.935/(g1*g2^8*g3^4*y) + (g1*g3^4*t^7.935)/(g2^8*y) + (g3^8*t^8.006)/(g1*g2^4*y) + (g1*g3^16*t^8.006)/(g2^4*y) + (g2^3*t^8.015)/(g1*g3^7*y) + (g1*g2^3*g3*t^8.015)/y + t^8.314/(g1^2*g2^4*g3^4*y) + (3*g3^4*t^8.314)/(g2^4*y) + (g1^2*g3^12*t^8.314)/(g2^4*y) + (g1*t^8.622)/(g2^4*y) + t^8.622/(g1*g2^4*g3^8*y) + t^8.657/(g1*g2^2*g3^2*y) + (g1*g3^6*t^8.657)/(g2^2*y) + (g3^4*t^8.692)/(g1*y) + (g1*g3^12*t^8.692)/y - (g3*t^8.956)/(g1^2*g2^9*y) - (g3^9*t^8.956)/(g2^9*y) - (g1^2*g3^17*t^8.956)/(g2^9*y) + t^8.965/(g2^2*g3^6*y) - (g3*t^4.328*y)/g2 - (g3*t^6.642*y)/(g1*g2^5) - (g1*g3^9*t^6.642*y)/g2^5 - (t^6.95*y)/(g2^5*g3^3) - (g3^9*t^7.02*y)/g2 + (g3^8*t^7.627*y)/g2^8 + (t^7.636*y)/(g2*g3^7) + g2^3*g3^5*t^7.707*y + (t^7.935*y)/(g1*g2^8*g3^4) + (g1*g3^4*t^7.935*y)/g2^8 + (g3^8*t^8.006*y)/(g1*g2^4) + (g1*g3^16*t^8.006*y)/g2^4 + (g2^3*t^8.015*y)/(g1*g3^7) + g1*g2^3*g3*t^8.015*y + (t^8.314*y)/(g1^2*g2^4*g3^4) + (3*g3^4*t^8.314*y)/g2^4 + (g1^2*g3^12*t^8.314*y)/g2^4 + (g1*t^8.622*y)/g2^4 + (t^8.622*y)/(g1*g2^4*g3^8) + (t^8.657*y)/(g1*g2^2*g3^2) + (g1*g3^6*t^8.657*y)/g2^2 + (g3^4*t^8.692*y)/g1 + g1*g3^12*t^8.692*y - (g3*t^8.956*y)/(g1^2*g2^9) - (g3^9*t^8.956*y)/g2^9 - (g1^2*g3^17*t^8.956*y)/g2^9 + (t^8.965*y)/(g2^2*g3^6) |
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 |
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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 |
---|---|---|---|---|---|---|---|---|---|
46622 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{1}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{7}\phi_{1}^{2}$ | 0.7904 | 0.9838 | 0.8034 | [M:[0.7619, 0.7619, 0.7619, 0.7619, 0.7619, 0.7619, 1.2381], q:[0.619, 0.619], qb:[0.619, 0.619], phi:[0.381]] | 6*t^2.286 + t^3.714 + 21*t^4.571 + 10*t^4.857 - 10*t^6. - t^4.143/y - t^4.143*y | detail | {a: 1859/2352, c: 1157/1176, M1: 16/21, M2: 16/21, M3: 16/21, M4: 16/21, M5: 16/21, M6: 16/21, M7: 26/21, q1: 13/21, q2: 13/21, qb1: 13/21, qb2: 13/21, phi1: 8/21} |