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 |
---|---|---|---|---|---|---|---|---|---|
46530 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ M_4^2$ | 0.7293 | 0.896 | 0.8139 | [X:[], M:[0.8995, 0.7765, 0.877, 1.0, 1.0], q:[0.5503, 0.5503], qb:[0.6733, 0.4497], phi:[0.4441]] | [X:[], M:[[0, 8], [-4, 4], [-4, -4], [0, 0], [0, 0]], q:[[0, -4], [0, -4]], qb:[[4, 0], [0, 4]], phi:[[-1, 1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ M_3$, $ \phi_1^2$, $ M_1$, $ M_4$, $ M_5$, $ q_2\tilde{q}_1$, $ \phi_1\tilde{q}_2^2$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1q_1^2$, $ \phi_1q_1q_2$, $ \phi_1q_2^2$, $ M_2^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ M_2M_3$, $ M_2\phi_1^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ M_1M_2$, $ M_3^2$, $ M_3\phi_1^2$, $ M_1M_3$, $ M_2M_4$, $ M_2M_5$, $ \phi_1^4$, $ M_1\phi_1^2$, $ \phi_1\tilde{q}_1^2$, $ M_1^2$, $ M_4\phi_1^2$, $ M_5\phi_1^2$ | $M_4M_5$, $ M_2q_2\tilde{q}_1$ | -2 | t^2.33 + t^2.63 + t^2.66 + t^2.7 + 2*t^3. + t^3.67 + t^4.03 + 2*t^4.33 + 3*t^4.63 + t^4.66 + t^4.7 + t^4.96 + t^4.99 + 2*t^5. + t^5.03 + t^5.26 + t^5.3 + 3*t^5.33 + t^5.36 + t^5.37 + t^5.4 + 2*t^5.66 - 2*t^6. - t^6.3 + t^6.34 + t^6.36 - t^6.37 + 2*t^6.66 + t^6.7 + t^6.73 + 3*t^6.96 + t^6.99 + 2*t^7. + 3*t^7.03 + 3*t^7.26 + t^7.29 + 3*t^7.3 + t^7.32 + 4*t^7.33 + t^7.34 + t^7.36 + t^7.4 + t^7.59 + 5*t^7.63 + 3*t^7.66 + t^7.69 + 2*t^7.7 + t^7.73 + t^7.89 + t^7.93 + 2*t^7.96 - 3*t^7.97 + 3*t^7.99 + t^8. + t^8.03 + 2*t^8.06 + t^8.07 + t^8.1 + t^8.3 - 2*t^8.33 - 2*t^8.34 + 2*t^8.36 + t^8.37 - 6*t^8.63 + t^8.66 + t^8.67 + t^8.69 - 5*t^8.7 - t^8.71 + t^8.73 - t^8.93 + 3*t^8.97 + 2*t^8.99 - t^4.33/y - t^6.66/y - t^6.96/y - t^7./y - t^7.03/y + t^7.63/y + t^7.67/y + t^7.7/y + t^7.96/y + t^7.99/y + t^8./y + t^8.03/y + t^8.3/y + (3*t^8.33)/y + t^8.36/y + (2*t^8.63)/y + (2*t^8.66)/y + (2*t^8.7)/y - t^8.99/y - t^4.33*y - t^6.66*y - t^6.96*y - t^7.*y - t^7.03*y + t^7.63*y + t^7.67*y + t^7.7*y + t^7.96*y + t^7.99*y + t^8.*y + t^8.03*y + t^8.3*y + 3*t^8.33*y + t^8.36*y + 2*t^8.63*y + 2*t^8.66*y + 2*t^8.7*y - t^8.99*y | (g2^4*t^2.33)/g1^4 + t^2.63/(g1^4*g2^4) + (g2^2*t^2.66)/g1^2 + g2^8*t^2.7 + 2*t^3. + (g1^4*t^3.67)/g2^4 + (g2^9*t^4.03)/g1 + (2*g2*t^4.33)/g1 + (3*t^4.63)/(g1*g2^7) + (g2^8*t^4.66)/g1^8 + g1^3*g2^5*t^4.7 + t^4.96/g1^8 + (g2^6*t^4.99)/g1^6 + (2*g1^3*t^5.)/g2^3 + (g2^12*t^5.03)/g1^4 + t^5.26/(g1^8*g2^8) + t^5.3/(g1^6*g2^2) + (3*g2^4*t^5.33)/g1^4 + (g2^10*t^5.36)/g1^2 + g1^7*g2*t^5.37 + g2^16*t^5.4 + (2*g2^2*t^5.66)/g1^2 - 2*t^6. - t^6.3/g2^8 + (g1^2*t^6.34)/g2^2 + (g2^13*t^6.36)/g1^5 - g1^4*g2^4*t^6.37 + (2*g2^5*t^6.66)/g1^5 + (g2^11*t^6.7)/g1^3 + (g2^17*t^6.73)/g1 + (3*t^6.96)/(g1^5*g2^3) + (g2^12*t^6.99)/g1^12 + (2*g2^3*t^7.)/g1^3 + (3*g2^9*t^7.03)/g1 + (3*t^7.26)/(g1^5*g2^11) + (g2^4*t^7.29)/g1^12 + (3*t^7.3)/(g1^3*g2^5) + (g2^10*t^7.32)/g1^10 + (4*g2*t^7.33)/g1 + (g1^8*t^7.34)/g2^8 + (g2^16*t^7.36)/g1^8 + g1^3*g2^13*t^7.4 + t^7.59/(g1^12*g2^4) + (4*t^7.63)/(g1*g2^7) + (g2^2*t^7.63)/g1^10 + (3*g2^8*t^7.66)/g1^8 + (g2^14*t^7.69)/g1^6 + 2*g1^3*g2^5*t^7.7 + (g2^20*t^7.73)/g1^4 + t^7.89/(g1^12*g2^12) + t^7.93/(g1^10*g2^6) + (2*t^7.96)/g1^8 - (3*g1*t^7.97)/g2^9 + (3*g2^6*t^7.99)/g1^6 + (g1^3*t^8.)/g2^3 + (g2^12*t^8.03)/g1^4 + (2*g2^18*t^8.06)/g1^2 + g1^7*g2^9*t^8.07 + g2^24*t^8.1 + (g1^3*t^8.3)/g2^11 - (2*g2^4*t^8.33)/g1^4 - (2*g1^5*t^8.34)/g2^5 + (2*g2^10*t^8.36)/g1^2 + g1^7*g2*t^8.37 - (6*t^8.63)/(g1^4*g2^4) + (g2^2*t^8.66)/g1^2 + (g1^7*t^8.67)/g2^7 + (g2^17*t^8.69)/g1^9 - 5*g2^8*t^8.7 - (g1^9*t^8.71)/g2 + g1^2*g2^14*t^8.73 - t^8.93/(g1^4*g2^12) + (3*t^8.97)/(g1^2*g2^6) + (2*g2^9*t^8.99)/g1^9 - (g2*t^4.33)/(g1*y) - (g2^5*t^6.66)/(g1^5*y) - t^6.96/(g1^5*g2^3*y) - (g2^3*t^7.)/(g1^3*y) - (g2^9*t^7.03)/(g1*y) + t^7.63/(g1*g2^7*y) + (g1*t^7.67)/(g2*y) + (g1^3*g2^5*t^7.7)/y + t^7.96/(g1^8*y) + (g2^6*t^7.99)/(g1^6*y) + (g1^3*t^8.)/(g2^3*y) + (g2^12*t^8.03)/(g1^4*y) + t^8.3/(g1^6*g2^2*y) + (3*g2^4*t^8.33)/(g1^4*y) + (g2^10*t^8.36)/(g1^2*y) + (2*t^8.63)/(g1^4*g2^4*y) + (2*g2^2*t^8.66)/(g1^2*y) + (2*g2^8*t^8.7)/y - (g2^9*t^8.99)/(g1^9*y) - (g2*t^4.33*y)/g1 - (g2^5*t^6.66*y)/g1^5 - (t^6.96*y)/(g1^5*g2^3) - (g2^3*t^7.*y)/g1^3 - (g2^9*t^7.03*y)/g1 + (t^7.63*y)/(g1*g2^7) + (g1*t^7.67*y)/g2 + g1^3*g2^5*t^7.7*y + (t^7.96*y)/g1^8 + (g2^6*t^7.99*y)/g1^6 + (g1^3*t^8.*y)/g2^3 + (g2^12*t^8.03*y)/g1^4 + (t^8.3*y)/(g1^6*g2^2) + (3*g2^4*t^8.33*y)/g1^4 + (g2^10*t^8.36*y)/g1^2 + (2*t^8.63*y)/(g1^4*g2^4) + (2*g2^2*t^8.66*y)/g1^2 + 2*g2^8*t^8.7*y - (g2^9*t^8.99*y)/g1^9 |
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 |
---|---|---|---|---|---|---|---|---|
48119 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ M_4^2$ + $ M_2M_3$ | 0.7017 | 0.8608 | 0.8152 | [X:[], M:[0.8792, 0.9396, 1.0604, 1.0, 1.0], q:[0.5604, 0.5604], qb:[0.5, 0.4396], phi:[0.4849]] | t^2.64 + t^2.82 + t^2.91 + 2*t^3. + 2*t^3.18 + t^4.09 + t^4.27 + 3*t^4.45 + 2*t^4.64 + 3*t^4.82 + t^5.28 + t^5.46 + t^5.55 + t^5.64 + t^5.73 + 2*t^5.82 + 2*t^5.91 - t^6. - t^4.45/y - t^4.45*y | detail | |
46848 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ + $ M_4^2$ + $ M_3\phi_1^2$ | 0.7083 | 0.8692 | 0.8149 | [X:[], M:[0.8525, 0.9016, 1.0492, 1.0, 1.0], q:[0.5738, 0.5738], qb:[0.5246, 0.4262], phi:[0.4754]] | t^2.56 + t^2.7 + t^2.85 + 2*t^3. + t^3.15 + t^3.3 + t^3.98 + t^4.28 + 2*t^4.43 + t^4.57 + 2*t^4.72 + 3*t^4.87 + t^5.11 + t^5.26 + 2*t^5.41 + t^5.56 + 3*t^5.7 + 2*t^5.85 - t^6. - t^4.43/y - t^4.43*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 |
---|---|---|---|---|---|---|---|---|---|
46324 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2q_1\tilde{q}_1$ + $ M_3\tilde{q}_1\tilde{q}_2$ + $ M_4q_2\tilde{q}_2$ + $ M_5q_1\tilde{q}_2$ + $ M_5^2$ | 0.7466 | 0.9183 | 0.813 | [X:[], M:[0.8355, 0.8355, 0.8355, 0.8355, 1.0], q:[0.5, 0.6645], qb:[0.6645, 0.5], phi:[0.4177]] | 5*t^2.51 + t^3. + t^3.99 + 3*t^4.25 + 4*t^4.75 + 15*t^5.01 + 3*t^5.24 + t^5.51 - 7*t^6. - t^4.25/y - t^4.25*y | detail |