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 |
---|---|---|---|---|---|---|---|---|---|
54404 | 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$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_4M_6$ + $ M_7\phi_1^2$ | 0.6945 | 0.8529 | 0.8142 | [X:[], M:[1.016, 0.9408, 0.984, 1.0485, 1.0053, 0.9515, 1.0053], q:[0.5243, 0.4597], qb:[0.5349, 0.4917], phi:[0.4973]] | [X:[], M:[[6, 6], [-16, 4], [-6, -6], [12, -8], [2, 2], [-12, 8], [2, 2]], q:[[6, -4], [-12, -2]], qb:[[10, 0], [0, 10]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_6$, $ M_3$, $ M_5$, $ M_7$, $ M_1$, $ \tilde{q}_1\tilde{q}_2$, $ \phi_1q_2^2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1\tilde{q}_1^2$, $ M_2^2$, $ M_2M_6$, $ M_6^2$, $ M_2M_5$, $ M_2M_7$, $ M_1M_2$, $ M_5M_6$, $ M_6M_7$, $ M_1M_6$, $ M_2\tilde{q}_1\tilde{q}_2$, $ M_6\tilde{q}_1\tilde{q}_2$, $ M_3M_5$, $ M_3M_7$ | . | -3 | t^2.82 + t^2.85 + t^2.95 + 2*t^3.02 + t^3.05 + t^3.08 + t^4.25 + t^4.35 + 2*t^4.44 + t^4.48 + t^4.54 + t^4.57 + t^4.64 + t^4.67 + t^4.7 + t^5.64 + t^5.68 + t^5.71 + 2*t^5.84 + 2*t^5.87 + t^5.9 + t^5.93 + t^5.97 - 3*t^6. + 2*t^6.03 + 2*t^6.06 + t^6.1 + t^6.16 - t^6.19 - t^6.23 + t^7.07 + t^7.1 + t^7.17 + 2*t^7.2 + t^7.26 + t^7.27 + 3*t^7.3 + t^7.33 + t^7.36 + 2*t^7.39 + t^7.43 + 2*t^7.46 + 2*t^7.49 + 2*t^7.52 + 2*t^7.56 + t^7.59 + 2*t^7.65 + t^7.69 + t^7.72 + t^7.75 + t^7.78 + t^8.47 + 2*t^8.5 + t^8.53 + t^8.56 + t^8.6 - t^8.63 + 2*t^8.66 + 4*t^8.69 + 2*t^8.72 + 3*t^8.79 - 3*t^8.82 - 2*t^8.85 + t^8.88 + 4*t^8.89 + 2*t^8.92 - 2*t^8.95 + 2*t^8.98 - t^4.49/y - t^7.31/y + t^7.48/y - t^7.51/y + t^7.67/y + t^8.68/y + t^8.77/y + t^8.81/y + (2*t^8.84)/y + (3*t^8.87)/y + (2*t^8.9)/y + t^8.93/y + (2*t^8.97)/y - t^4.49*y - t^7.31*y + t^7.48*y - t^7.51*y + t^7.67*y + t^8.68*y + t^8.77*y + t^8.81*y + 2*t^8.84*y + 3*t^8.87*y + 2*t^8.9*y + t^8.93*y + 2*t^8.97*y | (g2^4*t^2.82)/g1^16 + (g2^8*t^2.85)/g1^12 + t^2.95/(g1^6*g2^6) + 2*g1^2*g2^2*t^3.02 + g1^6*g2^6*t^3.05 + g1^10*g2^10*t^3.08 + t^4.25/(g1^25*g2^5) + (g2^7*t^4.35)/g1^13 + t^4.44/(g1^7*g2^7) + (g2^19*t^4.44)/g1 + t^4.48/(g1^3*g2^3) + g1^5*g2^5*t^4.54 + g1^9*g2^9*t^4.57 + (g1^11*t^4.64)/g2^9 + (g1^15*t^4.67)/g2^5 + (g1^19*t^4.7)/g2 + (g2^8*t^5.64)/g1^32 + (g2^12*t^5.68)/g1^28 + (g2^16*t^5.71)/g1^24 + (2*g2^6*t^5.84)/g1^14 + (2*g2^10*t^5.87)/g1^10 + (g2^14*t^5.9)/g1^6 + (g2^18*t^5.93)/g1^2 + t^5.97/(g1^4*g2^4) - 3*t^6. + 2*g1^4*g2^4*t^6.03 + 2*g1^8*g2^8*t^6.06 - (g1^6*t^6.1)/g2^14 + 2*g1^12*g2^12*t^6.1 - (g1^10*t^6.13)/g2^10 + g1^16*g2^16*t^6.13 + g1^20*g2^20*t^6.16 - (g1^18*t^6.19)/g2^2 - g1^22*g2^2*t^6.23 + t^7.07/(g1^41*g2) + (g2^3*t^7.1)/g1^37 + (g2^11*t^7.17)/g1^29 + t^7.2/(g1^31*g2^11) + (g2^15*t^7.2)/g1^25 + (g2^23*t^7.26)/g1^17 + t^7.27/(g1^23*g2^3) + (2*g2*t^7.3)/g1^19 + (g2^27*t^7.3)/g1^13 + (g2^5*t^7.33)/g1^15 + (g2^9*t^7.36)/g1^11 + (2*g2^13*t^7.39)/g1^7 + (g2^17*t^7.43)/g1^3 + t^7.46/(g1^5*g2^5) + g1*g2^21*t^7.46 + t^7.49/(g1*g2) + g1^5*g2^25*t^7.49 + g1^3*g2^3*t^7.52 + g1^9*g2^29*t^7.52 + 2*g1^7*g2^7*t^7.56 + g1^11*g2^11*t^7.59 - (g1^9*t^7.62)/g2^11 + g1^15*g2^15*t^7.62 + (g1^13*t^7.65)/g2^7 + g1^19*g2^19*t^7.65 + (g1^17*t^7.69)/g2^3 + g1^21*g2*t^7.72 + g1^25*g2^5*t^7.75 + g1^29*g2^9*t^7.78 + (g2^12*t^8.47)/g1^48 + t^8.5/(g1^50*g2^10) + (g2^16*t^8.5)/g1^44 + (g2^20*t^8.53)/g1^40 + (g2^24*t^8.56)/g1^36 + (g2^2*t^8.6)/g1^38 - (g2^6*t^8.63)/g1^34 + (2*g2^10*t^8.66)/g1^30 + t^8.69/(g1^32*g2^12) + (3*g2^14*t^8.69)/g1^26 + (2*g2^18*t^8.72)/g1^22 - t^8.76/(g1^24*g2^4) + (g2^22*t^8.76)/g1^18 + t^8.79/g1^20 + (2*g2^26*t^8.79)/g1^14 - (3*g2^4*t^8.82)/g1^16 - (2*g2^8*t^8.85)/g1^12 + (g2^38*t^8.88)/g1^2 + t^8.89/(g1^14*g2^14) + (3*g2^12*t^8.89)/g1^8 + (2*g2^16*t^8.92)/g1^4 - (3*t^8.95)/(g1^6*g2^6) + g2^20*t^8.95 + 2*g1^4*g2^24*t^8.98 - t^4.49/(g1*g2*y) - (g2^3*t^7.31)/(g1^17*y) + t^7.48/(g1^3*g2^3*y) - (g1*g2*t^7.51)/y + (g1^15*t^7.67)/(g2^5*y) + (g2^12*t^8.68)/(g1^28*y) + t^8.77/(g1^22*g2^2*y) + (g2^2*t^8.81)/(g1^18*y) + (2*g2^6*t^8.84)/(g1^14*y) + (3*g2^10*t^8.87)/(g1^10*y) + (2*g2^14*t^8.9)/(g1^6*y) + (g2^18*t^8.93)/(g1^2*y) + (2*t^8.97)/(g1^4*g2^4*y) - (t^4.49*y)/(g1*g2) - (g2^3*t^7.31*y)/g1^17 + (t^7.48*y)/(g1^3*g2^3) - g1*g2*t^7.51*y + (g1^15*t^7.67*y)/g2^5 + (g2^12*t^8.68*y)/g1^28 + (t^8.77*y)/(g1^22*g2^2) + (g2^2*t^8.81*y)/g1^18 + (2*g2^6*t^8.84*y)/g1^14 + (3*g2^10*t^8.87*y)/g1^10 + (2*g2^14*t^8.9*y)/g1^6 + (g2^18*t^8.93*y)/g1^2 + (2*t^8.97*y)/(g1^4*g2^4) |
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 |
---|---|---|---|---|---|---|---|---|
56560 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_4M_6$ + $ M_7\phi_1^2$ + $ M_1M_8$ | 0.6971 | 0.8562 | 0.8141 | [X:[], M:[1.0387, 0.9343, 0.9613, 1.0398, 1.0129, 0.9602, 1.0129, 0.9613], q:[0.5199, 0.4413], qb:[0.5457, 0.5188], phi:[0.4935]] | t^2.8 + 3*t^2.88 + 2*t^3.04 + t^3.19 + t^4.13 + 2*t^4.36 + t^4.44 + t^4.59 + 2*t^4.6 + t^4.67 + t^4.68 + t^4.76 + t^5.61 + t^5.68 + t^5.69 + 2*t^5.76 + 2*t^5.77 + 2*t^5.84 + 4*t^5.92 - 5*t^6. - t^4.48/y - t^4.48*y | detail | |
56558 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3q_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_1M_3$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_4M_6$ + $ M_7\phi_1^2$ + $ M_6\tilde{q}_1\tilde{q}_2$ | 0.6943 | 0.8518 | 0.8152 | [X:[], M:[1.0229, 0.9466, 0.9771, 1.0382, 1.0076, 0.9618, 1.0076], q:[0.5191, 0.458], qb:[0.5344, 0.5038], phi:[0.4962]] | t^2.84 + t^2.89 + t^2.93 + 2*t^3.02 + t^3.07 + t^3.11 + t^4.24 + t^4.37 + t^4.42 + t^4.47 + t^4.51 + t^4.56 + 2*t^4.6 + t^4.65 + t^4.69 + t^5.68 + t^5.73 + t^5.77 + 2*t^5.86 + 2*t^5.91 + 2*t^5.95 - 2*t^6. - t^4.49/y - t^4.49*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 |
---|---|---|---|---|---|---|---|---|---|
46838 | 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$ + $ M_5q_2\tilde{q}_1$ + $ M_5\phi_1^2$ + $ M_4M_6$ | 0.6951 | 0.8535 | 0.8144 | [X:[], M:[1.0236, 0.9385, 0.9764, 1.0457, 1.0079, 0.9543], q:[0.5229, 0.4535], qb:[0.5386, 0.5008], phi:[0.4961]] | t^2.82 + t^2.86 + t^2.93 + t^2.98 + t^3.02 + t^3.07 + t^3.12 + t^4.21 + t^4.35 + t^4.42 + t^4.46 + t^4.49 + t^4.56 + t^4.61 + t^4.63 + t^4.67 + t^4.72 + t^5.63 + t^5.68 + t^5.73 + t^5.79 + 2*t^5.84 + t^5.89 + t^5.91 + t^5.93 + t^5.95 + t^5.98 - 2*t^6. - t^4.49/y - t^4.49*y | detail |