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 |
---|---|---|---|---|---|---|---|---|---|
935 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1\phi_1^2$ + $ M_6q_1\tilde{q}_2$ | 0.7231 | 0.895 | 0.8079 | [X:[], M:[1.0717, 0.7848, 0.9379, 0.9187, 1.0, 0.8566], q:[0.4952, 0.4331], qb:[0.5669, 0.6482], phi:[0.4641]] | [X:[], M:[[2, 2], [-6, -6], [-10, 2], [6, -6], [0, 0], [-4, -4]], q:[[4, -2], [-6, 0]], qb:[[6, 0], [0, 6]], phi:[[-1, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_6$, $ M_4$, $ \phi_1^2$, $ M_3$, $ M_5$, $ M_1$, $ \phi_1q_2^2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_2$, $ M_2^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1q_1\tilde{q}_2$, $ M_2M_6$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_4$, $ M_6^2$, $ M_2\phi_1^2$, $ M_2M_3$, $ \phi_1\tilde{q}_2^2$, $ M_4M_6$, $ M_2M_5$, $ M_6\phi_1^2$, $ M_3M_6$, $ M_4^2$, $ M_1M_2$, $ M_3M_4$, $ M_5M_6$, $ \phi_1^4$, $ M_3^2$, $ M_1M_6$, $ M_5\phi_1^2$, $ M_1M_4$ | . | -2 | t^2.35 + t^2.57 + t^2.76 + t^2.78 + t^2.81 + t^3. + t^3.22 + t^3.99 + t^4.18 + t^4.36 + t^4.39 + t^4.58 + t^4.64 + t^4.71 + t^4.79 + t^4.82 + t^4.92 + t^5.04 + t^5.11 + 2*t^5.14 + t^5.17 + t^5.28 + t^5.33 + t^5.35 + t^5.38 + t^5.51 + 4*t^5.57 + t^5.63 + t^5.78 + t^5.97 - 2*t^6. + t^6.03 - t^6.19 - t^6.24 + t^6.35 - t^6.4 - t^6.46 + t^6.53 + t^6.56 - t^6.65 + t^6.72 + 2*t^6.75 + t^6.78 + t^6.8 + 2*t^6.93 + 2*t^6.96 + 2*t^6.99 + t^7.06 + t^7.12 + 3*t^7.15 + 2*t^7.18 + t^7.21 + t^7.28 + t^7.33 + 2*t^7.36 + 2*t^7.39 + t^7.45 + t^7.46 + 2*t^7.49 + t^7.52 + t^7.55 + t^7.58 + t^7.61 + t^7.64 + t^7.68 + 2*t^7.71 + t^7.74 + t^7.79 - t^7.82 + t^7.85 + t^7.87 + t^7.9 + 4*t^7.92 + t^7.95 + 2*t^7.98 - t^8.01 + t^8.08 + t^8.1 + 3*t^8.14 + t^8.2 - t^8.22 + t^8.27 + 2*t^8.33 + 3*t^8.38 + t^8.44 - t^8.47 - 2*t^8.57 - t^8.6 + t^8.63 + t^8.7 + 2*t^8.73 - 4*t^8.76 - 4*t^8.81 + t^8.84 + t^8.89 + t^8.91 - 2*t^8.97 - t^4.39/y - t^6.75/y - t^6.96/y - t^7.15/y - t^7.21/y + t^7.58/y + t^7.64/y + t^7.82/y + t^7.92/y + t^8.04/y + t^8.11/y + t^8.14/y + t^8.17/y + t^8.33/y + (2*t^8.35)/y + t^8.38/y + t^8.54/y + (3*t^8.57)/y + t^8.6/y + t^8.76/y + (2*t^8.78)/y + t^8.81/y + t^8.97/y - t^4.39*y - t^6.75*y - t^6.96*y - t^7.15*y - t^7.21*y + t^7.58*y + t^7.64*y + t^7.82*y + t^7.92*y + t^8.04*y + t^8.11*y + t^8.14*y + t^8.17*y + t^8.33*y + 2*t^8.35*y + t^8.38*y + t^8.54*y + 3*t^8.57*y + t^8.6*y + t^8.76*y + 2*t^8.78*y + t^8.81*y + t^8.97*y | t^2.35/(g1^6*g2^6) + t^2.57/(g1^4*g2^4) + (g1^6*t^2.76)/g2^6 + t^2.78/(g1^2*g2^2) + (g2^2*t^2.81)/g1^10 + t^3. + g1^2*g2^2*t^3.22 + t^3.99/(g1^13*g2) + t^4.18/(g1^3*g2^3) + (g1^7*t^4.36)/g2^5 + t^4.39/(g1*g2) + (g1^9*t^4.58)/g2^3 + (g2^5*t^4.64)/g1^7 + t^4.71/(g1^12*g2^12) + (g1^11*t^4.79)/g2 + g1^3*g2^3*t^4.82 + t^4.92/(g1^10*g2^10) + g1^5*g2^5*t^5.04 + t^5.11/g2^12 + (2*t^5.14)/(g1^8*g2^8) + t^5.17/(g1^16*g2^4) + (g2^11*t^5.28)/g1 + (g1^2*t^5.33)/g2^10 + t^5.35/(g1^6*g2^6) + t^5.38/(g1^14*g2^2) + (g1^12*t^5.51)/g2^12 + (4*t^5.57)/(g1^4*g2^4) + (g2^4*t^5.63)/g1^20 + t^5.78/(g1^2*g2^2) + (g1^8*t^5.97)/g2^4 - 2*t^6. + (g2^4*t^6.03)/g1^8 - (g1^10*t^6.19)/g2^2 - (g2^6*t^6.24)/g1^6 + t^6.35/(g1^19*g2^7) - g1^12*t^6.4 - (g2^8*t^6.46)/g1^4 + t^6.53/(g1^9*g2^9) + t^6.56/(g1^17*g2^5) - g1^6*g2^6*t^6.65 + (g1*t^6.72)/g2^11 + (2*t^6.75)/(g1^7*g2^7) + t^6.78/(g1^15*g2^3) + (g2*t^6.8)/g1^23 + (2*g1^3*t^6.93)/g2^9 + (2*t^6.96)/(g1^5*g2^5) + (2*t^6.99)/(g1^13*g2) + t^7.06/(g1^18*g2^18) + (g1^13*t^7.12)/g2^11 + (3*g1^5*t^7.15)/g2^7 + (2*t^7.18)/(g1^3*g2^3) + (g2*t^7.21)/g1^11 + t^7.28/(g1^16*g2^16) + (g1^15*t^7.33)/g2^9 + (2*g1^7*t^7.36)/g2^5 + (2*t^7.39)/(g1*g2) + (g2^7*t^7.45)/g1^17 + t^7.46/(g1^6*g2^18) + (2*t^7.49)/(g1^14*g2^14) + t^7.52/(g1^22*g2^10) + (g1^17*t^7.55)/g2^7 + (g1^9*t^7.58)/g2^3 + g1*g2*t^7.61 + (g2^5*t^7.64)/g1^7 + t^7.68/(g1^4*g2^16) + (2*t^7.71)/(g1^12*g2^12) + t^7.74/(g1^20*g2^8) + (g1^11*t^7.79)/g2 - g1^3*g2^3*t^7.82 + (g2^7*t^7.85)/g1^5 + (g1^6*t^7.87)/g2^18 + t^7.9/(g1^2*g2^14) + (4*t^7.92)/(g1^10*g2^10) + t^7.95/(g1^18*g2^6) + (2*t^7.98)/(g1^26*g2^2) - g1^13*g2*t^8.01 + (g1^8*t^8.08)/g2^16 + (g2^13*t^8.1)/g1^11 + (3*t^8.14)/(g1^8*g2^8) + t^8.2/g1^24 - g1^15*g2^3*t^8.22 + (g1^18*t^8.27)/g2^18 + (2*g1^2*t^8.33)/g2^10 + (3*t^8.38)/(g1^14*g2^2) + (g2^6*t^8.44)/g1^30 - g1^9*g2^9*t^8.47 - (2*t^8.57)/(g1^4*g2^4) - t^8.6/g1^12 + (g2^4*t^8.63)/g1^20 + t^8.7/(g1^25*g2^13) + (2*g1^14*t^8.73)/g2^10 - (4*g1^6*t^8.76)/g2^6 - (4*g2^2*t^8.81)/g1^10 + (g2^6*t^8.84)/g1^18 + t^8.89/(g1^15*g2^15) + t^8.91/(g1^23*g2^11) - (2*g1^8*t^8.97)/g2^4 - t^4.39/(g1*g2*y) - t^6.75/(g1^7*g2^7*y) - t^6.96/(g1^5*g2^5*y) - (g1^5*t^7.15)/(g2^7*y) - (g2*t^7.21)/(g1^11*y) + (g1^9*t^7.58)/(g2^3*y) + (g2^5*t^7.64)/(g1^7*y) + (g1^3*g2^3*t^7.82)/y + t^7.92/(g1^10*g2^10*y) + (g1^5*g2^5*t^8.04)/y + t^8.11/(g2^12*y) + t^8.14/(g1^8*g2^8*y) + t^8.17/(g1^16*g2^4*y) + (g1^2*t^8.33)/(g2^10*y) + (2*t^8.35)/(g1^6*g2^6*y) + t^8.38/(g1^14*g2^2*y) + (g1^4*t^8.54)/(g2^8*y) + (3*t^8.57)/(g1^4*g2^4*y) + t^8.6/(g1^12*y) + (g1^6*t^8.76)/(g2^6*y) + (2*t^8.78)/(g1^2*g2^2*y) + (g2^2*t^8.81)/(g1^10*y) + (g1^8*t^8.97)/(g2^4*y) - (t^4.39*y)/(g1*g2) - (t^6.75*y)/(g1^7*g2^7) - (t^6.96*y)/(g1^5*g2^5) - (g1^5*t^7.15*y)/g2^7 - (g2*t^7.21*y)/g1^11 + (g1^9*t^7.58*y)/g2^3 + (g2^5*t^7.64*y)/g1^7 + g1^3*g2^3*t^7.82*y + (t^7.92*y)/(g1^10*g2^10) + g1^5*g2^5*t^8.04*y + (t^8.11*y)/g2^12 + (t^8.14*y)/(g1^8*g2^8) + (t^8.17*y)/(g1^16*g2^4) + (g1^2*t^8.33*y)/g2^10 + (2*t^8.35*y)/(g1^6*g2^6) + (t^8.38*y)/(g1^14*g2^2) + (g1^4*t^8.54*y)/g2^8 + (3*t^8.57*y)/(g1^4*g2^4) + (t^8.6*y)/g1^12 + (g1^6*t^8.76*y)/g2^6 + (2*t^8.78*y)/(g1^2*g2^2) + (g2^2*t^8.81*y)/g1^10 + (g1^8*t^8.97*y)/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 |
---|---|---|---|---|---|---|---|---|
1434 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_3M_6$ | 0.7054 | 0.8688 | 0.8119 | [X:[], M:[1.0326, 0.9023, 1.0652, 0.8697, 1.0, 0.9348], q:[0.4511, 0.5163], qb:[0.4837, 0.614], phi:[0.4837]] | t^2.61 + t^2.71 + t^2.8 + t^2.9 + t^3. + t^3.1 + t^3.2 + t^4.16 + t^4.26 + 2*t^4.35 + t^4.45 + t^4.55 + t^4.65 + t^4.74 + t^4.84 + t^5.14 + t^5.22 + t^5.32 + 2*t^5.41 + t^5.51 + 2*t^5.61 + 2*t^5.71 + 3*t^5.8 + t^5.9 - t^6. - t^4.45/y - t^4.45*y | detail | |
1435 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_4M_6$ | 0.7048 | 0.8677 | 0.8122 | [X:[], M:[1.0305, 0.9086, 0.8782, 1.0609, 1.0, 0.9391], q:[0.5457, 0.4239], qb:[0.5761, 0.5152], phi:[0.4848]] | t^2.63 + t^2.73 + t^2.82 + t^2.91 + t^3. + t^3.09 + t^3.18 + t^4. + t^4.27 + t^4.36 + t^4.45 + t^4.55 + t^4.64 + 2*t^4.73 + t^4.82 + t^4.91 + t^5.27 + t^5.36 + 2*t^5.45 + t^5.54 + 2*t^5.63 + 2*t^5.73 + 3*t^5.82 + t^5.91 - t^6. - t^4.45/y - t^4.45*y | detail | |
1436 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1\phi_1^2$ + $ M_6q_1\tilde{q}_2$ + $ M_7\phi_1q_2^2$ | 0.7439 | 0.9365 | 0.7943 | [X:[], M:[1.0715, 0.7854, 0.9386, 0.9183, 1.0, 0.8569, 0.6687], q:[0.4949, 0.4336], qb:[0.5664, 0.6481], phi:[0.4642]] | t^2.01 + t^2.36 + t^2.57 + t^2.75 + t^2.79 + t^2.82 + t^3. + t^3.21 + t^4.01 + t^4.18 + 2*t^4.36 + t^4.39 + 2*t^4.58 + t^4.64 + t^4.71 + t^4.76 + 2*t^4.79 + 2*t^4.82 + t^4.93 + t^5.01 + t^5.04 + t^5.11 + 2*t^5.14 + t^5.17 + t^5.22 + t^5.28 + t^5.33 + t^5.36 + t^5.39 + t^5.51 + 4*t^5.57 + t^5.63 + t^5.79 + t^5.97 - 2*t^6. - t^4.39/y - t^4.39*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 |
---|---|---|---|---|---|---|---|---|---|
594 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_3q_1\tilde{q}_1$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_2\tilde{q}_1$ + $ M_5^2$ + $ M_1\phi_1^2$ | 0.7114 | 0.8732 | 0.8147 | [X:[], M:[1.059, 0.8231, 0.9476, 0.9345, 1.0], q:[0.4967, 0.4443], qb:[0.5557, 0.6212], phi:[0.4705]] | t^2.47 + t^2.8 + t^2.82 + t^2.84 + t^3. + t^3.18 + t^3.35 + t^4.08 + t^4.23 + t^4.39 + t^4.41 + t^4.57 + t^4.61 + t^4.75 + t^4.77 + 2*t^4.94 + t^5.14 + t^5.27 + t^5.29 + t^5.31 + t^5.61 + 3*t^5.65 + t^5.69 + t^5.82 + t^5.98 - 2*t^6. - t^4.41/y - t^4.41*y | detail |