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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56184 | 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_8q_2\tilde{q}_1$ | 0.6429 | 0.8033 | 0.8003 | [X:[], M:[1.1444, 0.7166, 0.8556, 0.8093, 1.2371, 0.7166, 1.1907, 0.6702], q:[0.4046, 0.451], qb:[0.8788, 0.7397], phi:[0.3815]] | [X:[], M:[[-3, -3], [2, 4], [3, 3], [-6, -8], [2, 2], [-11, -13], [6, 8], [-7, -7]], q:[[-3, -4], [6, 7]], qb:[[1, 0], [0, 1]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
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$M_8$, $ M_6$, $ M_2$, $ M_3$, $ M_1$, $ \phi_1q_1^2$, $ M_7$, $ M_5$, $ \phi_1q_1q_2$, $ M_8^2$, $ M_6M_8$, $ M_2M_8$, $ M_6^2$, $ M_2M_6$, $ M_2^2$, $ M_3M_8$, $ \phi_1q_1\tilde{q}_2$, $ M_3M_6$, $ M_2M_3$, $ \phi_1q_2\tilde{q}_2$, $ \tilde{q}_1\tilde{q}_2$, $ M_3^2$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_8$, $ M_1M_6$, $ M_8\phi_1q_1^2$, $ M_1M_2$, $ M_7M_8$, $ \phi_1\tilde{q}_2^2$, $ M_6\phi_1q_1^2$, $ M_6M_7$, $ M_5M_8$, $ M_8\phi_1q_1q_2$, $ M_2M_7$, $ M_5M_6$, $ M_6\phi_1q_1q_2$, $ M_2M_5$ | . | -2 | t^2.01 + 2*t^2.15 + t^2.57 + t^3.43 + 2*t^3.57 + 2*t^3.71 + t^4.02 + 2*t^4.16 + 3*t^4.3 + t^4.58 + 2*t^4.72 + t^4.86 + t^5.13 + t^5.44 + 4*t^5.58 + 5*t^5.72 + 2*t^5.86 - 2*t^6. + t^6.03 + 2*t^6.17 + t^6.28 + 3*t^6.31 + 4*t^6.45 + t^6.59 + 2*t^6.73 + 4*t^6.87 + 2*t^7.01 + 3*t^7.14 + 2*t^7.28 + t^7.45 - 2*t^7.56 + 4*t^7.59 + 8*t^7.73 + 6*t^7.87 + t^8.04 - 4*t^8.15 + 2*t^8.18 + t^8.29 + 3*t^8.32 + 4*t^8.46 - 2*t^8.57 + 6*t^8.6 - 2*t^8.71 + 2*t^8.74 + 4*t^8.88 - t^4.14/y - t^6.16/y - (2*t^6.29)/y + (2*t^7.16)/y + t^7.3/y + t^7.58/y + (2*t^7.72)/y + (2*t^7.99)/y + t^8.13/y - t^8.17/y - (2*t^8.3)/y - (2*t^8.44)/y + (4*t^8.58)/y + (6*t^8.72)/y + (4*t^8.86)/y - t^4.14*y - t^6.16*y - 2*t^6.29*y + 2*t^7.16*y + t^7.3*y + t^7.58*y + 2*t^7.72*y + 2*t^7.99*y + t^8.13*y - t^8.17*y - 2*t^8.3*y - 2*t^8.44*y + 4*t^8.58*y + 6*t^8.72*y + 4*t^8.86*y | t^2.01/(g1^7*g2^7) + t^2.15/(g1^11*g2^13) + g1^2*g2^4*t^2.15 + g1^3*g2^3*t^2.57 + t^3.43/(g1^3*g2^3) + t^3.57/(g1^7*g2^9) + g1^6*g2^8*t^3.57 + 2*g1^2*g2^2*t^3.71 + t^4.02/(g1^14*g2^14) + t^4.16/(g1^18*g2^20) + t^4.16/(g1^5*g2^3) + t^4.3/(g1^22*g2^26) + t^4.3/(g1^9*g2^9) + g1^4*g2^8*t^4.3 + t^4.58/(g1^4*g2^4) + t^4.72/(g1^8*g2^10) + g1^5*g2^7*t^4.72 + g1*g2*t^4.86 + g1^6*g2^6*t^5.13 + t^5.44/(g1^10*g2^10) + (2*t^5.58)/(g1^14*g2^16) + (2*g2*t^5.58)/g1 + t^5.72/(g1^18*g2^22) + (3*t^5.72)/(g1^5*g2^5) + g1^8*g2^12*t^5.72 + t^5.86/(g1^9*g2^11) + g1^4*g2^6*t^5.86 - 2*t^6. + t^6.03/(g1^21*g2^21) + t^6.17/(g1^25*g2^27) + t^6.17/(g1^12*g2^10) + g1^5*g2^5*t^6.28 + t^6.31/(g1^29*g2^33) + t^6.31/(g1^16*g2^16) + (g2*t^6.31)/g1^3 + t^6.45/(g1^33*g2^39) + t^6.45/(g1^20*g2^22) + t^6.45/(g1^7*g2^5) + g1^6*g2^12*t^6.45 + t^6.59/(g1^11*g2^11) + t^6.73/g1^2 + t^6.73/(g1^15*g2^17) + t^6.87/(g1^19*g2^23) + (2*t^6.87)/(g1^6*g2^6) + g1^7*g2^11*t^6.87 + t^7.01/(g1^10*g2^12) + g1^3*g2^5*t^7.01 + t^7.14/(g1^14*g2^18) + t^7.14/(g1*g2) + g1^12*g2^16*t^7.14 + t^7.28/(g1^5*g2^7) + g1^8*g2^10*t^7.28 + t^7.45/(g1^17*g2^17) - t^7.56/g2^2 - g1^13*g2^15*t^7.56 + (2*t^7.59)/(g1^21*g2^23) + (2*t^7.59)/(g1^8*g2^6) + (2*t^7.73)/(g1^25*g2^29) + (4*t^7.73)/(g1^12*g2^12) + 2*g1*g2^5*t^7.73 + t^7.87/(g1^29*g2^35) + (2*t^7.87)/(g1^16*g2^18) + (2*t^7.87)/(g1^3*g2) + g1^10*g2^16*t^7.87 + t^8.01/(g1^20*g2^24) - (2*t^8.01)/(g1^7*g2^7) + g1^6*g2^10*t^8.01 + t^8.04/(g1^28*g2^28) - (2*t^8.15)/(g1^11*g2^13) - 2*g1^2*g2^4*t^8.15 + t^8.18/(g1^32*g2^34) + t^8.18/(g1^19*g2^17) + t^8.29/(g1^2*g2^2) + t^8.32/(g1^36*g2^40) + t^8.32/(g1^23*g2^23) + t^8.32/(g1^10*g2^6) + t^8.46/(g1^40*g2^46) + t^8.46/(g1^27*g2^29) + t^8.46/(g1^14*g2^12) + (g2^5*t^8.46)/g1 - 2*g1^3*g2^3*t^8.57 + t^8.6/(g1^44*g2^52) + t^8.6/(g1^31*g2^35) + (2*t^8.6)/(g1^18*g2^18) + t^8.6/(g1^5*g2) + g1^8*g2^16*t^8.6 - t^8.71/(g1*g2^3) - g1^12*g2^14*t^8.71 + t^8.74/(g1^22*g2^24) + t^8.74/(g1^9*g2^7) + t^8.88/(g1^26*g2^30) + (2*t^8.88)/(g1^13*g2^13) + g2^4*t^8.88 - t^4.14/(g1*g2*y) - t^6.16/(g1^8*g2^8*y) - t^6.29/(g1^12*g2^14*y) - (g1*g2^3*t^6.29)/y + t^7.16/(g1^18*g2^20*y) + t^7.16/(g1^5*g2^3*y) + t^7.3/(g1^9*g2^9*y) + t^7.58/(g1^4*g2^4*y) + t^7.72/(g1^8*g2^10*y) + (g1^5*g2^7*t^7.72)/y + t^7.99/(g1^3*g2^5*y) + (g1^10*g2^12*t^7.99)/y + (g1^6*g2^6*t^8.13)/y - t^8.17/(g1^15*g2^15*y) - t^8.3/(g1^19*g2^21*y) - t^8.3/(g1^6*g2^4*y) - t^8.44/(g1^23*g2^27*y) - (g1^3*g2^7*t^8.44)/y + (2*t^8.58)/(g1^14*g2^16*y) + (2*g2*t^8.58)/(g1*y) + t^8.72/(g1^18*g2^22*y) + (4*t^8.72)/(g1^5*g2^5*y) + (g1^8*g2^12*t^8.72)/y + (2*t^8.86)/(g1^9*g2^11*y) + (2*g1^4*g2^6*t^8.86)/y - (t^4.14*y)/(g1*g2) - (t^6.16*y)/(g1^8*g2^8) - (t^6.29*y)/(g1^12*g2^14) - g1*g2^3*t^6.29*y + (t^7.16*y)/(g1^18*g2^20) + (t^7.16*y)/(g1^5*g2^3) + (t^7.3*y)/(g1^9*g2^9) + (t^7.58*y)/(g1^4*g2^4) + (t^7.72*y)/(g1^8*g2^10) + g1^5*g2^7*t^7.72*y + (t^7.99*y)/(g1^3*g2^5) + g1^10*g2^12*t^7.99*y + g1^6*g2^6*t^8.13*y - (t^8.17*y)/(g1^15*g2^15) - (t^8.3*y)/(g1^19*g2^21) - (t^8.3*y)/(g1^6*g2^4) - (t^8.44*y)/(g1^23*g2^27) - g1^3*g2^7*t^8.44*y + (2*t^8.58*y)/(g1^14*g2^16) + (2*g2*t^8.58*y)/g1 + (t^8.72*y)/(g1^18*g2^22) + (4*t^8.72*y)/(g1^5*g2^5) + g1^8*g2^12*t^8.72*y + (2*t^8.86*y)/(g1^9*g2^11) + 2*g1^4*g2^6*t^8.86*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 |