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 |
---|---|---|---|---|---|---|---|---|---|
224 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ + $ M_3\phi_1^2$ | 0.6636 | 0.8114 | 0.8179 | [X:[], M:[0.7292, 1.0903, 1.0903], q:[0.7726, 0.4983], qb:[0.4549, 0.4549], phi:[0.4549]] | [X:[], M:[[12, 12], [-4, -4], [-4, -4]], q:[[-1, -1], [-11, -11]], qb:[[4, 0], [0, 4]], phi:[[2, 2]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_2$, $ M_3$, $ 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$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_2^2$, $ M_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_1M_2$, $ M_1M_3$, $ q_2^2\tilde{q}_1^2$, $ q_2^2\tilde{q}_1\tilde{q}_2$, $ q_2^2\tilde{q}_2^2$ | . | -5 | t^2.19 + 2*t^2.86 + 2*t^3.27 + 2*t^3.68 + 3*t^4.09 + 2*t^4.22 + t^4.35 + t^4.38 + 2*t^5.05 + 2*t^5.46 + 3*t^5.72 - 5*t^6. + 2*t^6.13 + 3*t^6.28 + 6*t^6.54 + t^6.56 - t^6.82 + 6*t^6.95 + 3*t^7.08 + 2*t^7.21 + 2*t^7.36 + t^7.62 + 2*t^7.65 + 4*t^7.78 + 3*t^7.91 + 4*t^8.32 + 2*t^8.45 + 3*t^8.47 + 6*t^8.58 + t^8.71 + 2*t^8.73 + t^8.75 - 10*t^8.86 + 2*t^8.99 - t^4.36/y - t^6.55/y + t^7.09/y - t^7.64/y + (2*t^8.05)/y + t^8.18/y + (2*t^8.46)/y + t^8.72/y - t^8.74/y + (2*t^8.87)/y - t^4.36*y - t^6.55*y + t^7.09*y - t^7.64*y + 2*t^8.05*y + t^8.18*y + 2*t^8.46*y + t^8.72*y - t^8.74*y + 2*t^8.87*y | g1^12*g2^12*t^2.19 + t^2.86/(g1^7*g2^11) + t^2.86/(g1^11*g2^7) + (2*t^3.27)/(g1^4*g2^4) + (g1^3*t^3.68)/g2 + (g2^3*t^3.68)/g1 + g1^10*g2^2*t^4.09 + g1^6*g2^6*t^4.09 + g1^2*g2^10*t^4.09 + t^4.22/(g1^5*g2^9) + t^4.22/(g1^9*g2^5) + t^4.35/(g1^20*g2^20) + g1^24*g2^24*t^4.38 + g1^5*g2*t^5.05 + g1*g2^5*t^5.05 + 2*g1^8*g2^8*t^5.46 + t^5.72/(g1^14*g2^22) + t^5.72/(g1^18*g2^18) + t^5.72/(g1^22*g2^14) - 3*t^6. - (g1^4*t^6.)/g2^4 - (g2^4*t^6.)/g1^4 + t^6.13/(g1^11*g2^15) + t^6.13/(g1^15*g2^11) + g1^22*g2^14*t^6.28 + g1^18*g2^18*t^6.28 + g1^14*g2^22*t^6.28 + t^6.54/(g1^4*g2^12) + (4*t^6.54)/(g1^8*g2^8) + t^6.54/(g1^12*g2^4) + g1^36*g2^36*t^6.56 - g1^10*g2^10*t^6.82 + (g1^3*t^6.95)/g2^9 + (2*t^6.95)/(g1*g2^5) + (2*t^6.95)/(g1^5*g2) + (g2^3*t^6.95)/g1^9 + t^7.08/(g1^12*g2^20) + t^7.08/(g1^16*g2^16) + t^7.08/(g1^20*g2^12) + t^7.21/(g1^27*g2^31) + t^7.21/(g1^31*g2^27) + (g1^6*t^7.36)/g2^2 + (g2^6*t^7.36)/g1^2 + t^7.62/(g1^24*g2^24) + 2*g1^20*g2^20*t^7.65 + g1^13*g2*t^7.78 + g1^9*g2^5*t^7.78 + g1^5*g2^9*t^7.78 + g1*g2^13*t^7.78 + t^7.91/(g1^2*g2^10) + t^7.91/(g1^6*g2^6) + t^7.91/(g1^10*g2^2) + g1^20*g2^4*t^8.19 - 2*g1^12*g2^12*t^8.19 + g1^4*g2^20*t^8.19 + (g1^5*t^8.32)/g2^7 + (g1*t^8.32)/g2^3 + (g2*t^8.32)/g1^3 + (g2^5*t^8.32)/g1^7 + t^8.45/(g1^10*g2^18) + t^8.45/(g1^18*g2^10) + g1^34*g2^26*t^8.47 + g1^30*g2^30*t^8.47 + g1^26*g2^34*t^8.47 + t^8.58/(g1^21*g2^33) + (2*t^8.58)/(g1^25*g2^29) + (2*t^8.58)/(g1^29*g2^25) + t^8.58/(g1^33*g2^21) + t^8.71/(g1^40*g2^40) + 2*g1^4*g2^4*t^8.73 + g1^48*g2^48*t^8.75 - t^8.86/(g1^3*g2^15) - (4*t^8.86)/(g1^7*g2^11) - (4*t^8.86)/(g1^11*g2^7) - t^8.86/(g1^15*g2^3) + t^8.99/(g1^18*g2^26) + t^8.99/(g1^26*g2^18) - (g1^2*g2^2*t^4.36)/y - (g1^14*g2^14*t^6.55)/y + (g1^6*g2^6*t^7.09)/y - t^7.64/(g1^2*g2^2*y) + (g1^5*g2*t^8.05)/y + (g1*g2^5*t^8.05)/y + t^8.18/(g1^10*g2^10*y) + (2*g1^8*g2^8*t^8.46)/y + t^8.72/(g1^18*g2^18*y) - (g1^26*g2^26*t^8.74)/y + (g1^15*g2^11*t^8.87)/y + (g1^11*g2^15*t^8.87)/y - g1^2*g2^2*t^4.36*y - g1^14*g2^14*t^6.55*y + g1^6*g2^6*t^7.09*y - (t^7.64*y)/(g1^2*g2^2) + g1^5*g2*t^8.05*y + g1*g2^5*t^8.05*y + (t^8.18*y)/(g1^10*g2^10) + 2*g1^8*g2^8*t^8.46*y + (t^8.72*y)/(g1^18*g2^18) - g1^26*g2^26*t^8.74*y + g1^15*g2^11*t^8.87*y + g1^11*g2^15*t^8.87*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 |
---|
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 |
---|
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
132 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_2\phi_1^2$ | 0.6721 | 0.8254 | 0.8143 | [X:[], M:[0.715, 1.095], q:[0.7738, 0.5113], qb:[0.4525, 0.4525], phi:[0.4525]] | t^2.14 + t^2.71 + 2*t^2.89 + t^3.29 + 2*t^3.68 + 3*t^4.07 + 2*t^4.25 + t^4.29 + t^4.43 + t^4.86 + 2*t^5.04 + 2*t^5.43 + 2*t^5.61 + 3*t^5.78 - 4*t^6. - t^4.36/y - t^4.36*y | detail |