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 |
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56274 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_2^2$ + $ M_4M_7$ + $ M_1M_8$ | 0.6353 | 0.7844 | 0.8099 | [X:[], M:[1.1579, 0.7368, 0.8421, 0.807, 1.2281, 0.7368, 1.193, 0.8421], q:[0.4035, 0.4386], qb:[0.8596, 0.7544], phi:[0.386]] | [X:[], M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [2, 2], [-11, -13], [6, 8], [3, 3]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]] | 2 | {a: 688/1083, c: 1699/2166, M1: 22/19, M2: 14/19, M3: 16/19, M4: 46/57, M5: 70/57, M6: 14/19, M7: 68/57, M8: 16/19, q1: 23/57, q2: 25/57, qb1: 49/57, qb2: 43/57, phi1: 22/57} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_6$, $ M_2$, $ M_3$, $ M_8$, $ \phi_1q_1^2$, $ M_7$, $ M_5$, $ \phi_1q_1q_2$, $ q_2\tilde{q}_1$, $ M_6^2$, $ M_2M_6$, $ M_2^2$, $ M_3M_6$, $ M_6M_8$, $ M_2M_3$, $ M_2M_8$, $ \phi_1q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ M_3M_8$, $ M_8^2$, $ \phi_1q_2\tilde{q}_1$, $ M_6\phi_1q_1^2$, $ M_6M_7$, $ M_2M_7$, $ M_5M_6$, $ M_6\phi_1q_1q_2$, $ M_2M_5$ | . | -3 | 2*t^2.21 + 2*t^2.53 + 2*t^3.58 + 2*t^3.68 + t^3.89 + 3*t^4.42 + 4*t^4.74 + t^4.84 + 3*t^5.05 + 3*t^5.79 + 2*t^5.89 - 3*t^6. + 4*t^6.11 + 3*t^6.21 + 2*t^6.42 + 4*t^6.63 + 5*t^6.95 + 6*t^7.26 + t^7.37 + 5*t^7.58 + t^7.79 + 4*t^8. + 2*t^8.11 - 6*t^8.21 + 5*t^8.32 + 2*t^8.42 - 6*t^8.53 + 4*t^8.63 + 4*t^8.74 + 5*t^8.84 + 3*t^8.95 - t^4.16/y - (2*t^6.37)/y - t^6.68/y + t^7.42/y + t^7.63/y + (4*t^7.74)/y + (2*t^7.95)/y + t^8.05/y - (3*t^8.58)/y + (4*t^8.79)/y + (2*t^8.89)/y - t^4.16*y - 2*t^6.37*y - t^6.68*y + t^7.42*y + t^7.63*y + 4*t^7.74*y + 2*t^7.95*y + t^8.05*y - 3*t^8.58*y + 4*t^8.79*y + 2*t^8.89*y | t^2.21/(g1^11*g2^13) + g1^2*g2^4*t^2.21 + 2*g1^3*g2^3*t^2.53 + t^3.58/(g1^7*g2^9) + g1^6*g2^8*t^3.58 + 2*g1^2*g2^2*t^3.68 + g1^7*g2^7*t^3.89 + t^4.42/(g1^22*g2^26) + t^4.42/(g1^9*g2^9) + g1^4*g2^8*t^4.42 + (2*t^4.74)/(g1^8*g2^10) + 2*g1^5*g2^7*t^4.74 + g1*g2*t^4.84 + 3*g1^6*g2^6*t^5.05 + t^5.79/(g1^18*g2^22) + t^5.79/(g1^5*g2^5) + g1^8*g2^12*t^5.79 + t^5.89/(g1^9*g2^11) + g1^4*g2^6*t^5.89 - 3*t^6. + (2*t^6.11)/(g1^4*g2^6) + 2*g1^9*g2^11*t^6.11 + 3*g1^5*g2^5*t^6.21 + 2*g1^10*g2^10*t^6.42 + t^6.63/(g1^33*g2^39) + t^6.63/(g1^20*g2^22) + t^6.63/(g1^7*g2^5) + g1^6*g2^12*t^6.63 + (2*t^6.95)/(g1^19*g2^23) + t^6.95/(g1^6*g2^6) + 2*g1^7*g2^11*t^6.95 + t^7.16/(g1^14*g2^18) - (2*t^7.16)/(g1*g2) + g1^12*g2^16*t^7.16 + (3*t^7.26)/(g1^5*g2^7) + 3*g1^8*g2^10*t^7.26 + g1^4*g2^4*t^7.37 + 5*g1^9*g2^9*t^7.58 + g1^14*g2^14*t^7.79 + t^8./(g1^29*g2^35) + t^8./(g1^16*g2^18) + t^8./(g1^3*g2) + g1^10*g2^16*t^8. + t^8.11/(g1^20*g2^24) + g1^6*g2^10*t^8.11 - (3*t^8.21)/(g1^11*g2^13) - 3*g1^2*g2^4*t^8.21 + (2*t^8.32)/(g1^15*g2^19) + t^8.32/(g1^2*g2^2) + 2*g1^11*g2^15*t^8.32 + t^8.42/(g1^6*g2^8) + g1^7*g2^9*t^8.42 - 6*g1^3*g2^3*t^8.53 + (2*t^8.63)/(g1*g2^3) + 2*g1^12*g2^14*t^8.63 + 4*g1^8*g2^8*t^8.74 + t^8.84/(g1^44*g2^52) + t^8.84/(g1^31*g2^35) + t^8.84/(g1^18*g2^18) + t^8.84/(g1^5*g2) + g1^8*g2^16*t^8.84 + 3*g1^13*g2^13*t^8.95 - t^4.16/(g1*g2*y) - t^6.37/(g1^12*g2^14*y) - (g1*g2^3*t^6.37)/y - (g1^2*g2^2*t^6.68)/y + t^7.42/(g1^9*g2^9*y) + t^7.63/(g1^4*g2^4*y) + (2*t^7.74)/(g1^8*g2^10*y) + (2*g1^5*g2^7*t^7.74)/y + t^7.95/(g1^3*g2^5*y) + (g1^10*g2^12*t^7.95)/y + (g1^6*g2^6*t^8.05)/y - t^8.58/(g1^23*g2^27*y) - t^8.58/(g1^10*g2^10*y) - (g1^3*g2^7*t^8.58)/y + t^8.79/(g1^18*g2^22*y) + (2*t^8.79)/(g1^5*g2^5*y) + (g1^8*g2^12*t^8.79)/y + t^8.89/(g1^9*g2^11*y) + (g1^4*g2^6*t^8.89)/y - (t^4.16*y)/(g1*g2) - (t^6.37*y)/(g1^12*g2^14) - g1*g2^3*t^6.37*y - g1^2*g2^2*t^6.68*y + (t^7.42*y)/(g1^9*g2^9) + (t^7.63*y)/(g1^4*g2^4) + (2*t^7.74*y)/(g1^8*g2^10) + 2*g1^5*g2^7*t^7.74*y + (t^7.95*y)/(g1^3*g2^5) + g1^10*g2^12*t^7.95*y + g1^6*g2^6*t^8.05*y - (t^8.58*y)/(g1^23*g2^27) - (t^8.58*y)/(g1^10*g2^10) - g1^3*g2^7*t^8.58*y + (t^8.79*y)/(g1^18*g2^22) + (2*t^8.79*y)/(g1^5*g2^5) + g1^8*g2^12*t^8.79*y + (t^8.89*y)/(g1^9*g2^11) + g1^4*g2^6*t^8.89*y |
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 |
---|---|---|---|---|---|---|---|---|---|
50965 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ \phi_1\tilde{q}_1\tilde{q}_2$ + $ M_5\phi_1^2$ + $ M_6\phi_1q_2^2$ + $ M_4M_7$ | 0.622 | 0.7618 | 0.8165 | [X:[], M:[1.1452, 0.7178, 0.8548, 0.8091, 1.2365, 0.7178, 1.1909], q:[0.4046, 0.4502], qb:[0.8777, 0.7406], phi:[0.3817]] | 2*t^2.15 + t^2.56 + t^3.44 + 2*t^3.57 + 2*t^3.71 + t^3.98 + 3*t^4.31 + 2*t^4.72 + t^4.85 + t^5.13 + 2*t^5.59 + 3*t^5.73 + 2*t^5.86 - 2*t^6. - t^4.15/y - t^4.15*y | detail |