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 |
---|---|---|---|---|---|---|---|---|---|
45867 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ | 0.7184 | 0.8712 | 0.8246 | [X:[], M:[1.0, 0.7821], q:[0.5, 0.5], qb:[0.609, 0.609], phi:[0.4455]] | [X:[], M:[[0, 0, 0], [0, -4, -4]], q:[[-1, 0, 0], [1, 0, 0]], qb:[[0, 4, 0], [0, 0, 4]], phi:[[0, -1, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
$M_2$, $ \phi_1^2$, $ M_1$, $ q_1\tilde{q}_1$, $ q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ q_2\tilde{q}_2$, $ \phi_1q_1q_2$, $ \phi_1q_1^2$, $ \phi_1q_2^2$, $ \phi_1q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ \phi_1q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ M_2^2$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$, $ M_2\phi_1^2$, $ M_1M_2$, $ \phi_1^4$, $ M_1\phi_1^2$ | $\phi_1^2q_1\tilde{q}_1$, $ \phi_1^2q_2\tilde{q}_1$, $ \phi_1^2q_1\tilde{q}_2$, $ \phi_1^2q_2\tilde{q}_2$ | -3 | t^2.35 + t^2.67 + t^3. + 4*t^3.33 + 3*t^4.34 + 4*t^4.66 + t^4.69 + 3*t^4.99 + t^5.02 + 2*t^5.35 + t^5.67 - 3*t^6. + 9*t^6.65 + 3*t^6.68 + 3*t^7.01 + t^7.04 + 3*t^7.34 + t^7.37 + 8*t^7.66 + 2*t^7.69 + 8*t^7.99 + 2*t^8.02 + 5*t^8.32 - 3*t^8.35 + 2*t^8.67 - t^4.34/y - t^6.68/y - t^7.01/y + t^7.66/y + t^7.99/y + t^8.02/y + t^8.35/y + (5*t^8.67)/y - t^4.34*y - t^6.68*y - t^7.01*y + t^7.66*y + t^7.99*y + t^8.02*y + t^8.35*y + 5*t^8.67*y | t^2.35/(g2^4*g3^4) + t^2.67/(g2^2*g3^2) + t^3. + (g2^4*t^3.33)/g1 + g1*g2^4*t^3.33 + (g3^4*t^3.33)/g1 + g1*g3^4*t^3.33 + t^4.34/(g2*g3) + t^4.34/(g1^2*g2*g3) + (g1^2*t^4.34)/(g2*g3) + (g2^3*t^4.66)/(g1*g3) + (g1*g2^3*t^4.66)/g3 + (g3^3*t^4.66)/(g1*g2) + (g1*g3^3*t^4.66)/g2 + t^4.69/(g2^8*g3^8) + (g2^7*t^4.99)/g3 + g2^3*g3^3*t^4.99 + (g3^7*t^4.99)/g2 + t^5.02/(g2^6*g3^6) + (2*t^5.35)/(g2^4*g3^4) + t^5.67/(g2^2*g3^2) - 3*t^6. - t^6./g1^2 - g1^2*t^6. - (g2^4*t^6.)/g3^4 + (g2^2*t^6.)/(g1*g3^2) + (g1*g2^2*t^6.)/g3^2 + (g3^2*t^6.)/(g1*g2^2) + (g1*g3^2*t^6.)/g2^2 - (g3^4*t^6.)/g2^4 + g2^8*t^6.65 + (g2^8*t^6.65)/g1^2 + g1^2*g2^8*t^6.65 + g2^4*g3^4*t^6.65 + (g2^4*g3^4*t^6.65)/g1^2 + g1^2*g2^4*g3^4*t^6.65 + g3^8*t^6.65 + (g3^8*t^6.65)/g1^2 + g1^2*g3^8*t^6.65 + t^6.68/(g2^5*g3^5) + t^6.68/(g1^2*g2^5*g3^5) + (g1^2*t^6.68)/(g2^5*g3^5) + t^7.01/(g2^3*g3^3) + t^7.01/(g1^2*g2^3*g3^3) + (g1^2*t^7.01)/(g2^3*g3^3) + t^7.04/(g2^12*g3^12) + (g2*t^7.34)/(g1*g3^3) + (g1*g2*t^7.34)/g3^3 - t^7.34/(g2*g3) + (g3*t^7.34)/(g1*g2^3) + (g1*g3*t^7.34)/g2^3 + t^7.37/(g2^10*g3^10) + (g2^5*t^7.66)/g3^3 + (g2^3*t^7.66)/(g1^3*g3) + (g2^3*t^7.66)/(g1*g3) + (g1*g2^3*t^7.66)/g3 + (g1^3*g2^3*t^7.66)/g3 - (g2*g3*t^7.66)/g1^2 - g1^2*g2*g3*t^7.66 + (g3^3*t^7.66)/(g1^3*g2) + (g3^3*t^7.66)/(g1*g2) + (g1*g3^3*t^7.66)/g2 + (g1^3*g3^3*t^7.66)/g2 + (g3^5*t^7.66)/g2^3 + (2*t^7.69)/(g2^8*g3^8) + (2*g2^7*t^7.99)/g3 + (g2^7*t^7.99)/(g1^2*g3) + (g1^2*g2^7*t^7.99)/g3 - (g2^5*g3*t^7.99)/g1 - g1*g2^5*g3*t^7.99 + 2*g2^3*g3^3*t^7.99 + (g2^3*g3^3*t^7.99)/g1^2 + g1^2*g2^3*g3^3*t^7.99 - (g2*g3^5*t^7.99)/g1 - g1*g2*g3^5*t^7.99 + (2*g3^7*t^7.99)/g2 + (g3^7*t^7.99)/(g1^2*g2) + (g1^2*g3^7*t^7.99)/g2 + (2*t^8.02)/(g2^6*g3^6) + (g2^11*t^8.32)/(g1*g3) + (g1*g2^11*t^8.32)/g3 - g2^9*g3*t^8.32 + (g2^7*g3^3*t^8.32)/g1 + g1*g2^7*g3^3*t^8.32 - g2^5*g3^5*t^8.32 + (g2^3*g3^7*t^8.32)/g1 + g1*g2^3*g3^7*t^8.32 - g2*g3^9*t^8.32 + (g3^11*t^8.32)/(g1*g2) + (g1*g3^11*t^8.32)/g2 - t^8.35/(g2^4*g3^4) - t^8.35/(g1^2*g2^4*g3^4) - (g1^2*t^8.35)/(g2^4*g3^4) + t^8.67/(g1*g2^4) + (g1*t^8.67)/g2^4 - (g2^2*t^8.67)/g3^6 + t^8.67/(g1*g3^4) + (g1*t^8.67)/g3^4 - (2*t^8.67)/(g2^2*g3^2) + t^8.67/(g1^4*g2^2*g3^2) + (g1^4*t^8.67)/(g2^2*g3^2) - (g3^2*t^8.67)/g2^6 - t^4.34/(g2*g3*y) - t^6.68/(g2^5*g3^5*y) - t^7.01/(g2^3*g3^3*y) + (g2*g3*t^7.66)/y + (g2^3*g3^3*t^7.99)/y + t^8.02/(g2^6*g3^6*y) + t^8.35/(g2^4*g3^4*y) + t^8.67/(g1*g2^4*y) + (g1*t^8.67)/(g2^4*y) + t^8.67/(g1*g3^4*y) + (g1*t^8.67)/(g3^4*y) + t^8.67/(g2^2*g3^2*y) - (t^4.34*y)/(g2*g3) - (t^6.68*y)/(g2^5*g3^5) - (t^7.01*y)/(g2^3*g3^3) + g2*g3*t^7.66*y + g2^3*g3^3*t^7.99*y + (t^8.02*y)/(g2^6*g3^6) + (t^8.35*y)/(g2^4*g3^4) + (t^8.67*y)/(g1*g2^4) + (g1*t^8.67*y)/g2^4 + (t^8.67*y)/(g1*g3^4) + (g1*t^8.67*y)/g3^4 + (t^8.67*y)/(g2^2*g3^2) |
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 |
---|---|---|---|---|---|---|---|---|
45883 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ + $ M_1^2$ + $ M_3\phi_1^2$ | 0.7093 | 0.857 | 0.8276 | [X:[], M:[1.0, 0.8187, 1.0907], q:[0.5, 0.5], qb:[0.5907, 0.5907], phi:[0.4547]] | t^2.46 + t^3. + 5*t^3.27 + 3*t^4.36 + 4*t^4.64 + 4*t^4.91 + t^5.46 + t^5.73 - 7*t^6. - t^4.36/y - t^4.36*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 |
---|---|---|---|---|---|---|---|---|---|
55 | SU2adj1nf2 | $M_1q_1q_2$ + $ M_2\tilde{q}_1\tilde{q}_2$ | 0.7382 | 0.8885 | 0.8308 | [X:[], M:[0.8108, 0.8108], q:[0.5946, 0.5946], qb:[0.5946, 0.5946], phi:[0.4054]] | 3*t^2.43 + 4*t^3.57 + 10*t^4.78 + 6*t^4.86 - 4*t^6. - t^4.22/y - t^4.22*y | detail |