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 |
---|---|---|---|---|---|---|---|---|---|
849 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ | 0.6327 | 0.8272 | 0.7649 | [X:[], M:[0.963, 1.1111, 1.037, 0.8889, 0.7407, 0.7407], q:[0.7407, 0.2963], qb:[0.4444, 0.4444], phi:[0.5185]] | [X:[], M:[[4, 4], [-12, -12], [-4, -4], [12, 12], [-5, 7], [7, -5]], q:[[1, 1], [-5, -5]], qb:[[12, 0], [0, 12]], phi:[[-2, -2]]] | 2 | {a: 205/324, c: 67/81, M1: 26/27, M2: 10/9, M3: 28/27, M4: 8/9, M5: 20/27, M6: 20/27, q1: 20/27, q2: 8/27, qb1: 4/9, qb2: 4/9, phi1: 14/27} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_6$, $ q_2\tilde{q}_1$, $ M_5$, $ q_2\tilde{q}_2$, $ M_4$, $ M_3$, $ \phi_1^2$, $ \phi_1q_2^2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_6^2$, $ M_6q_2\tilde{q}_1$, $ q_2^2\tilde{q}_1^2$, $ M_5M_6$, $ M_5q_2\tilde{q}_1$, $ M_6q_2\tilde{q}_2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ M_5^2$, $ M_5q_2\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$, $ M_4M_6$, $ M_4q_2\tilde{q}_1$, $ M_4M_5$, $ M_4q_2\tilde{q}_2$, $ M_3M_6$, $ M_6\phi_1^2$, $ M_3q_2\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ M_3M_5$, $ M_5\phi_1^2$, $ M_3q_2\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$, $ M_4^2$, $ M_6\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_1$, $ M_5\phi_1q_2^2$, $ \phi_1q_2^3\tilde{q}_2$, $ M_6q_1\tilde{q}_1$, $ q_1q_2\tilde{q}_1^2$, $ M_3M_4$, $ M_4\phi_1^2$, $ M_5q_1\tilde{q}_1$, $ M_6q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_1\tilde{q}_2$, $ M_5q_1\tilde{q}_2$, $ q_1q_2\tilde{q}_2^2$ | $M_4\phi_1q_2^2$ | -5 | 4*t^2.22 + t^2.67 + 2*t^3.11 + t^3.33 + 2*t^3.56 + 3*t^4.22 + 10*t^4.44 + 4*t^4.89 + 9*t^5.33 + 2*t^5.56 + 9*t^5.78 - 5*t^6. + 3*t^6.22 + 10*t^6.44 + 21*t^6.67 + t^6.89 + 8*t^7.11 + t^7.33 + 19*t^7.56 + 6*t^7.78 + 19*t^8. - 22*t^8.22 + 18*t^8.44 + 13*t^8.67 + 39*t^8.89 - t^4.56/y - (2*t^6.78)/y + (7*t^7.44)/y - t^7.67/y + (4*t^7.89)/y + (10*t^8.33)/y + (4*t^8.56)/y + (10*t^8.78)/y - t^4.56*y - 2*t^6.78*y + 7*t^7.44*y - t^7.67*y + 4*t^7.89*y + 10*t^8.33*y + 4*t^8.56*y + 10*t^8.78*y | (2*g1^7*t^2.22)/g2^5 + (2*g2^7*t^2.22)/g1^5 + g1^12*g2^12*t^2.67 + (2*t^3.11)/(g1^4*g2^4) + t^3.33/(g1^12*g2^12) + g1^13*g2*t^3.56 + g1*g2^13*t^3.56 + (g1^22*t^4.22)/g2^2 + g1^10*g2^10*t^4.22 + (g2^22*t^4.22)/g1^2 + (3*g1^14*t^4.44)/g2^10 + 4*g1^2*g2^2*t^4.44 + (3*g2^14*t^4.44)/g1^10 + 2*g1^19*g2^7*t^4.89 + 2*g1^7*g2^19*t^4.89 + (4*g1^3*t^5.33)/g2^9 + (4*g2^3*t^5.33)/g1^9 + g1^24*g2^24*t^5.33 + t^5.56/(g1^5*g2^17) + t^5.56/(g1^17*g2^5) + (2*g1^20*t^5.78)/g2^4 + 5*g1^8*g2^8*t^5.78 + (2*g2^20*t^5.78)/g1^4 - 3*t^6. - (g1^12*t^6.)/g2^12 - (g2^12*t^6.)/g1^12 + t^6.22/(g1^8*g2^8) + g1^25*g2^13*t^6.22 + g1^13*g2^25*t^6.22 + (2*t^6.44)/(g1^16*g2^16) + (2*g1^29*t^6.44)/g2^7 + 2*g1^17*g2^5*t^6.44 + 2*g1^5*g2^17*t^6.44 + (2*g2^29*t^6.44)/g1^7 + t^6.67/(g1^24*g2^24) + (4*g1^21*t^6.67)/g2^15 + (6*g1^9*t^6.67)/g2^3 + (6*g2^9*t^6.67)/g1^3 + (4*g2^21*t^6.67)/g1^15 - (g1*t^6.89)/g2^11 - (g2*t^6.89)/g1^11 + g1^34*g2^10*t^6.89 + g1^22*g2^22*t^6.89 + g1^10*g2^34*t^6.89 - t^7.11/(g1^7*g2^19) - t^7.11/(g1^19*g2^7) + 3*g1^26*g2^2*t^7.11 + 4*g1^14*g2^14*t^7.11 + 3*g1^2*g2^26*t^7.11 + (g1^18*t^7.33)/g2^6 - g1^6*g2^6*t^7.33 + (g2^18*t^7.33)/g1^6 + (5*g1^10*t^7.56)/g2^14 + (5*t^7.56)/(g1^2*g2^2) + (5*g2^10*t^7.56)/g1^14 + 2*g1^31*g2^19*t^7.56 + 2*g1^19*g2^31*t^7.56 + (g1^2*t^7.78)/g2^22 + (g1^35*t^7.78)/g2 + (g2^2*t^7.78)/g1^22 + g1^23*g2^11*t^7.78 + g1^11*g2^23*t^7.78 + (g2^35*t^7.78)/g1 + (3*g1^27*t^8.)/g2^9 + 6*g1^15*g2^3*t^8. + 6*g1^3*g2^15*t^8. + (3*g2^27*t^8.)/g1^9 + g1^36*g2^36*t^8. - (2*g1^19*t^8.22)/g2^17 - (9*g1^7*t^8.22)/g2^5 - (9*g2^7*t^8.22)/g1^5 - (2*g2^19*t^8.22)/g1^17 + (2*t^8.44)/(g1*g2^13) + (g1^44*t^8.44)/g2^4 + (2*t^8.44)/(g1^13*g2) + 3*g1^32*g2^8*t^8.44 + 6*g1^20*g2^20*t^8.44 + 3*g1^8*g2^32*t^8.44 + (g2^44*t^8.44)/g1^4 + 2*g1^24*t^8.67 + (2*t^8.67)/(g1^9*g2^21) + (3*g1^36*t^8.67)/g2^12 + (2*t^8.67)/(g1^21*g2^9) - g1^12*g2^12*t^8.67 + 2*g2^24*t^8.67 + (3*g2^36*t^8.67)/g1^12 + t^8.89/(g1^17*g2^29) + (5*g1^28*t^8.89)/g2^20 + t^8.89/(g1^29*g2^17) + (8*g1^16*t^8.89)/g2^8 + 9*g1^4*g2^4*t^8.89 + (8*g2^16*t^8.89)/g1^8 + g1^37*g2^25*t^8.89 + (5*g2^28*t^8.89)/g1^20 + g1^25*g2^37*t^8.89 - t^4.56/(g1^2*g2^2*y) - (g1^5*t^6.78)/(g2^7*y) - (g2^5*t^6.78)/(g1^7*y) + (g1^14*t^7.44)/(g2^10*y) + (5*g1^2*g2^2*t^7.44)/y + (g2^14*t^7.44)/(g1^10*y) - t^7.67/(g1^6*g2^6*y) + (2*g1^19*g2^7*t^7.89)/y + (2*g1^7*g2^19*t^7.89)/y + (5*g1^3*t^8.33)/(g2^9*y) + (5*g2^3*t^8.33)/(g1^9*y) + (2*t^8.56)/(g1^5*g2^17*y) + (2*t^8.56)/(g1^17*g2^5*y) + (2*g1^20*t^8.78)/(g2^4*y) + (6*g1^8*g2^8*t^8.78)/y + (2*g2^20*t^8.78)/(g1^4*y) - (t^4.56*y)/(g1^2*g2^2) - (g1^5*t^6.78*y)/g2^7 - (g2^5*t^6.78*y)/g1^7 + (g1^14*t^7.44*y)/g2^10 + 5*g1^2*g2^2*t^7.44*y + (g2^14*t^7.44*y)/g1^10 - (t^7.67*y)/(g1^6*g2^6) + 2*g1^19*g2^7*t^7.89*y + 2*g1^7*g2^19*t^7.89*y + (5*g1^3*t^8.33*y)/g2^9 + (5*g2^3*t^8.33*y)/g1^9 + (2*t^8.56*y)/(g1^5*g2^17) + (2*t^8.56*y)/(g1^17*g2^5) + (2*g1^20*t^8.78*y)/g2^4 + 6*g1^8*g2^8*t^8.78*y + (2*g2^20*t^8.78*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
2047 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ M_7q_1\tilde{q}_1$ | 0.6491 | 0.8553 | 0.7589 | [X:[], M:[0.9707, 1.0879, 1.0293, 0.9121, 0.7303, 0.755, 0.7889], q:[0.7427, 0.2866], qb:[0.4684, 0.4437], phi:[0.5146]] | 2*t^2.19 + 2*t^2.27 + t^2.37 + t^2.74 + 2*t^3.09 + t^3.26 + t^3.56 + t^4.21 + t^4.28 + t^4.35 + 3*t^4.38 + 4*t^4.46 + 3*t^4.53 + 2*t^4.56 + 2*t^4.63 + t^4.73 + 2*t^4.93 + 2*t^5. + t^5.1 + 4*t^5.28 + 4*t^5.35 + 3*t^5.45 + t^5.47 + t^5.53 + t^5.63 + 2*t^5.75 + 3*t^5.82 - 3*t^6. - t^4.54/y - t^4.54*y | detail | |
2046 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ + $ M_6\phi_1q_2\tilde{q}_2$ + $ q_1q_2\tilde{q}_2^2$ | 0.6304 | 0.823 | 0.766 | [X:[], M:[0.9729, 1.0814, 1.0271, 0.9186, 0.7704, 0.7161], q:[0.7432, 0.2839], qb:[0.4322, 0.4864], phi:[0.5136]] | 2*t^2.15 + 2*t^2.31 + t^2.76 + 2*t^3.08 + t^3.24 + t^3.53 + t^3.69 + t^4.13 + 4*t^4.3 + 5*t^4.46 + 3*t^4.62 + 2*t^4.9 + 2*t^5.07 + 4*t^5.23 + 5*t^5.39 + t^5.51 + t^5.56 + 2*t^5.67 + 4*t^5.84 - t^6. - t^4.54/y - t^4.54*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 |
---|---|---|---|---|---|---|---|---|---|
541 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1\phi_1^2$ + $ M_1M_3$ + $ M_2M_4$ + $ M_5\phi_1q_2\tilde{q}_1$ | 0.6135 | 0.7921 | 0.7745 | [X:[], M:[0.9638, 1.1086, 1.0362, 0.8914, 0.7321], q:[0.7409, 0.2953], qb:[0.4546, 0.4368], phi:[0.5181]] | 2*t^2.2 + t^2.25 + t^2.67 + 2*t^3.11 + t^3.33 + t^3.53 + t^3.59 + t^3.75 + t^4.18 + t^4.23 + t^4.28 + 3*t^4.39 + 2*t^4.45 + t^4.5 + 2*t^4.87 + t^4.92 + 4*t^5.3 + t^5.35 + 2*t^5.36 + t^5.52 + 2*t^5.73 + 4*t^5.78 + t^5.84 + t^5.95 - 2*t^6. - t^4.55/y - t^4.55*y | detail |