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 |
---|---|---|---|---|---|---|---|---|---|
127 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ | 0.6849 | 0.8216 | 0.8337 | [X:[], M:[0.689, 1.2094, 0.8921], q:[0.8024, 0.5086], qb:[0.554, 0.554], phi:[0.3953]] | [X:[], M:[[-8, -1, -1], [4, 4, 4], [0, -7, -7]], q:[[1, 1, 1], [7, 0, 0]], qb:[[0, 7, 0], [0, 0, 7]], phi:[[-2, -2, -2]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_1$, $ M_3$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ M_2$, $ q_1\tilde{q}_1$, $ q_1\tilde{q}_2$, $ M_1^2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_1M_3$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ M_3^2$, $ M_1M_2$ | . | -5 | t^2.07 + t^2.68 + 2*t^3.19 + t^3.63 + 2*t^4.07 + t^4.13 + t^4.24 + 2*t^4.37 + 3*t^4.51 + t^4.74 + 2*t^5.25 + t^5.35 + t^5.7 - 5*t^6. + t^6.2 + t^6.3 + 3*t^6.38 + 3*t^6.58 + t^6.81 + 2*t^6.82 - t^6.88 + t^6.91 - t^7.19 + 4*t^7.26 + t^7.42 + 2*t^7.43 + 3*t^7.56 + 6*t^7.7 + t^7.76 + t^8.03 - 5*t^8.07 + 3*t^8.14 + t^8.27 + t^8.37 + 3*t^8.44 + t^8.47 + 4*t^8.58 + 2*t^8.61 + 3*t^8.64 - 2*t^8.68 + 2*t^8.75 + 5*t^8.88 + t^8.98 - t^4.19/y - t^6.25/y - t^6.86/y + t^7.51/y + t^7.74/y + t^8.12/y + (2*t^8.25)/y - t^8.32/y + t^8.7/y + (2*t^8.86)/y - t^8.93/y - t^4.19*y - t^6.25*y - t^6.86*y + t^7.51*y + t^7.74*y + t^8.12*y + 2*t^8.25*y - t^8.32*y + t^8.7*y + 2*t^8.86*y - t^8.93*y | t^2.07/(g1^8*g2*g3) + t^2.68/(g2^7*g3^7) + g1^7*g2^7*t^3.19 + g1^7*g3^7*t^3.19 + g1^4*g2^4*g3^4*t^3.63 + g1*g2^8*g3*t^4.07 + g1*g2*g3^8*t^4.07 + t^4.13/(g1^16*g2^2*g3^2) + (g1^12*t^4.24)/(g2^2*g3^2) + (g1^5*g2^5*t^4.37)/g3^2 + (g1^5*g3^5*t^4.37)/g2^2 + (g2^12*t^4.51)/(g1^2*g3^2) + (g2^5*g3^5*t^4.51)/g1^2 + (g3^12*t^4.51)/(g1^2*g2^2) + t^4.74/(g1^8*g2^8*g3^8) + (g2^6*t^5.25)/(g1*g3) + (g3^6*t^5.25)/(g1*g2) + t^5.35/(g2^14*g3^14) + (g2^3*g3^3*t^5.7)/g1^4 - 3*t^6. - (g2^7*t^6.)/g3^7 - (g3^7*t^6.)/g2^7 + t^6.2/(g1^24*g2^3*g3^3) + (g1^4*t^6.3)/(g2^3*g3^3) + g1^14*g2^14*t^6.38 + g1^14*g2^7*g3^7*t^6.38 + g1^14*g3^14*t^6.38 + (g2^11*t^6.58)/(g1^10*g3^3) + (g2^4*g3^4*t^6.58)/g1^10 + (g3^11*t^6.58)/(g1^10*g2^3) + t^6.81/(g1^16*g2^9*g3^9) + g1^11*g2^11*g3^4*t^6.82 + g1^11*g2^4*g3^11*t^6.82 - (g2*g3*t^6.88)/g1^6 + (g1^12*t^6.91)/(g2^9*g3^9) - t^7.19/(g1^2*g2^2*g3^2) + g1^8*g2^15*g3*t^7.26 + 2*g1^8*g2^8*g3^8*t^7.26 + g1^8*g2*g3^15*t^7.26 + t^7.42/(g1^8*g2^15*g3^15) + (g1^19*g2^5*t^7.43)/g3^2 + (g1^19*g3^5*t^7.43)/g2^2 + (g1^12*g2^12*t^7.56)/g3^2 + g1^12*g2^5*g3^5*t^7.56 + (g1^12*g3^12*t^7.56)/g2^2 + (g1^5*g2^19*t^7.7)/g3^2 + 2*g1^5*g2^12*g3^5*t^7.7 + 2*g1^5*g2^5*g3^12*t^7.7 + (g1^5*g3^19*t^7.7)/g2^2 + (g2^2*g3^2*t^7.76)/g1^12 + t^8.03/(g2^21*g3^21) - (g2^6*t^8.07)/(g1^8*g3^8) - (3*t^8.07)/(g1^8*g2*g3) - (g3^6*t^8.07)/(g1^8*g2^8) + g1^2*g2^16*g3^2*t^8.14 + g1^2*g2^9*g3^9*t^8.14 + g1^2*g2^2*g3^16*t^8.14 + t^8.27/(g1^32*g2^4*g3^4) + t^8.37/(g1^4*g2^4*g3^4) + (g1^6*g2^13*t^8.44)/g3 + g1^6*g2^6*g3^6*t^8.44 + (g1^6*g3^13*t^8.44)/g2 + (g1^24*t^8.47)/(g2^4*g3^4) + (g2^20*t^8.58)/(g1*g3) + (g2^13*g3^6*t^8.58)/g1 + (g2^6*g3^13*t^8.58)/g1 + (g3^20*t^8.58)/(g1*g2) + (g1^17*g2^3*t^8.61)/g3^4 + (g1^17*g3^3*t^8.61)/g2^4 + (g2^10*t^8.64)/(g1^18*g3^4) + (g2^3*g3^3*t^8.64)/g1^18 + (g3^10*t^8.64)/(g1^18*g2^4) - (2*t^8.68)/(g2^7*g3^7) + (g1^10*g2^10*t^8.75)/g3^4 + (g1^10*g3^10*t^8.75)/g2^4 + t^8.88/(g1^24*g2^10*g3^10) + (g1^3*g2^17*t^8.88)/g3^4 + g1^3*g2^10*g3^3*t^8.88 + g1^3*g2^3*g3^10*t^8.88 + (g1^3*g3^17*t^8.88)/g2^4 + (g1^4*t^8.98)/(g2^10*g3^10) - t^4.19/(g1^2*g2^2*g3^2*y) - t^6.25/(g1^10*g2^3*g3^3*y) - t^6.86/(g1^2*g2^9*g3^9*y) + (g2^5*g3^5*t^7.51)/(g1^2*y) + t^7.74/(g1^8*g2^8*g3^8*y) + (g1^6*t^8.12)/(g2*g3*y) + (g2^6*t^8.25)/(g1*g3*y) + (g3^6*t^8.25)/(g1*g2*y) - t^8.32/(g1^18*g2^4*g3^4*y) + (g2^3*g3^3*t^8.7)/(g1^4*y) + (g1^7*t^8.86)/(g2^7*y) + (g1^7*t^8.86)/(g3^7*y) - t^8.93/(g1^10*g2^10*g3^10*y) - (t^4.19*y)/(g1^2*g2^2*g3^2) - (t^6.25*y)/(g1^10*g2^3*g3^3) - (t^6.86*y)/(g1^2*g2^9*g3^9) + (g2^5*g3^5*t^7.51*y)/g1^2 + (t^7.74*y)/(g1^8*g2^8*g3^8) + (g1^6*t^8.12*y)/(g2*g3) + (g2^6*t^8.25*y)/(g1*g3) + (g3^6*t^8.25*y)/(g1*g2) - (t^8.32*y)/(g1^18*g2^4*g3^4) + (g2^3*g3^3*t^8.7*y)/g1^4 + (g1^7*t^8.86*y)/g2^7 + (g1^7*t^8.86*y)/g3^7 - (t^8.93*y)/(g1^10*g2^10*g3^10) |
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 |
---|---|---|---|---|---|---|---|---|
208 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_1^2$ | 0.5895 | 0.742 | 0.7945 | [X:[], M:[1.0, 1.0406, 0.9189], q:[0.7601, 0.2399], qb:[0.5406, 0.5406], phi:[0.4797]] | 2*t^2.34 + t^2.76 + t^2.88 + t^3. + t^3.12 + 2*t^3.78 + 2*t^3.9 + 6*t^4.68 + 2*t^5.22 + 2*t^5.34 + 2*t^5.46 + t^5.51 + t^5.63 + 2*t^5.76 + t^5.88 - 4*t^6. - t^4.44/y - t^4.44*y | detail | |
209 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_3M_4$ | 0.679 | 0.8188 | 0.8292 | [X:[], M:[0.6919, 1.1631, 0.9819, 1.0181], q:[0.7908, 0.5173], qb:[0.509, 0.509], phi:[0.4185]] | t^2.08 + t^3.05 + 2*t^3.08 + t^3.49 + 2*t^3.9 + t^4.15 + 3*t^4.31 + 2*t^4.33 + t^4.36 + t^5.13 + 2*t^5.15 + t^5.56 - 5*t^6. - t^4.26/y - t^4.26*y | detail | |
210 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ \phi_1q_1^2$ + $ M_3^2$ | 0.6788 | 0.8207 | 0.8272 | [X:[], M:[0.6924, 1.1538, 1.0], q:[0.7885, 0.5192], qb:[0.5, 0.5], phi:[0.4231]] | t^2.08 + t^3. + 2*t^3.06 + t^3.46 + 2*t^3.87 + t^4.15 + 3*t^4.27 + 2*t^4.33 + t^4.38 + t^5.08 + 2*t^5.13 + t^5.54 - 4*t^6. - t^4.27/y - t^4.27*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 |
---|---|---|---|---|---|---|---|---|---|
80 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\phi_1^2$ + $ M_3\tilde{q}_1\tilde{q}_2$ | 0.7232 | 0.8641 | 0.8369 | [X:[], M:[0.837, 1.163, 0.837], q:[0.5815, 0.5815], qb:[0.5815, 0.5815], phi:[0.4185]] | 2*t^2.51 + 5*t^3.49 + 10*t^4.74 + 3*t^5.02 - 6*t^6. - t^4.26/y - t^4.26*y | detail |