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 |
|---|---|---|---|---|---|---|---|---|---|
| 44 | SU2adj1nf2 | $\phi_1q_1^2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ | 0.6515 | 0.7734 | 0.8425 | [X:[], M:[], q:[0.8051, 0.4152], qb:[0.6101, 0.6101], phi:[0.3899]] | [X:[], M:[], q:[[1, 1], [3, 3]], qb:[[4, 0], [0, 4]], phi:[[-2, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| $\phi_1^2$, $ q_2\tilde{q}_1$, $ q_2\tilde{q}_2$, $ q_1q_2$, $ \phi_1q_2^2$, $ \tilde{q}_1\tilde{q}_2$, $ q_1\tilde{q}_1$, $ \phi_1q_2\tilde{q}_1$, $ q_1\tilde{q}_2$, $ \phi_1q_2\tilde{q}_2$, $ \phi_1^4$, $ \phi_1\tilde{q}_1^2$, $ \phi_1\tilde{q}_1\tilde{q}_2$, $ \phi_1\tilde{q}_2^2$ | $\phi_1^3q_2^2$ | -3 | t^2.34+2*t^3.08+3*t^3.66+4*t^4.25+t^4.68+3*t^4.83-3*t^6.+3*t^6.15-4*t^6.58+6*t^6.74+t^7.02-2*t^7.17+11*t^7.32-2*t^7.75+12*t^7.91+7*t^8.49-t^4.17/y-t^6.51/y+t^7.83/y+(2*t^8.42)/y-t^8.85/y-t^4.17*y-t^6.51*y+t^7.83*y+2*t^8.42*y-t^8.85*y | t^2.34/(g1^4*g2^4)+g1^7*g2^3*t^3.08+g1^3*g2^7*t^3.08+3*g1^4*g2^4*t^3.66+2*g1^5*g2*t^4.25+2*g1*g2^5*t^4.25+t^4.68/(g1^8*g2^8)+(g1^6*t^4.83)/g2^2+g1^2*g2^2*t^4.83+(g2^6*t^4.83)/g1^2-t^6.-(g1^4*t^6.)/g2^4-(g2^4*t^6.)/g1^4+g1^14*g2^6*t^6.15+g1^10*g2^10*t^6.15+g1^6*g2^14*t^6.15-(2*g1*t^6.58)/g2^3-(2*g2*t^6.58)/g1^3+3*g1^11*g2^7*t^6.74+3*g1^7*g2^11*t^6.74+t^7.02/(g1^12*g2^12)-(2*t^7.17)/(g1^2*g2^2)+2*g1^12*g2^4*t^7.32+7*g1^8*g2^8*t^7.32+2*g1^4*g2^12*t^7.32-t^7.75/(g1*g2^5)-t^7.75/(g1^5*g2)+g1^13*g2*t^7.91+5*g1^9*g2^5*t^7.91+5*g1^5*g2^9*t^7.91+g1*g2^13*t^7.91+3*g1^10*g2^2*t^8.49+g1^6*g2^6*t^8.49+3*g1^2*g2^10*t^8.49-t^4.17/(g1^2*g2^2*y)-t^6.51/(g1^6*g2^6*y)+(g1^2*g2^2*t^7.83)/y+(g1^3*t^8.42)/(g2*y)+(g2^3*t^8.42)/(g1*y)-t^8.85/(g1^10*g2^10*y)-(t^4.17*y)/(g1^2*g2^2)-(t^6.51*y)/(g1^6*g2^6)+g1^2*g2^2*t^7.83*y+(g1^3*t^8.42*y)/g2+(g2^3*t^8.42*y)/g1-(t^8.85*y)/(g1^10*g2^10) |
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 |
|---|---|---|---|---|---|---|---|---|
| 61 | $\phi_1q_1^2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ M_1q_1q_2$ | 0.6696 | 0.8036 | 0.8333 | [X:[], M:[0.7619], q:[0.8095, 0.4286], qb:[0.619, 0.619], phi:[0.381]] | 2*t^2.29+2*t^3.14+2*t^3.71+4*t^4.29+3*t^4.57+3*t^4.86+2*t^5.43-2*t^6.-t^4.14/y-t^4.14*y | detail | {a: 75/112, c: 45/56, M1: 16/21, q1: 17/21, q2: 3/7, qb1: 13/21, qb2: 13/21, phi1: 8/21} |
| 58 | $\phi_1q_1^2$ + $ \phi_1^2\tilde{q}_1\tilde{q}_2$ + $ \phi_1^4$ | 0.5859 | 0.7422 | 0.7895 | [X:[], M:[], q:[0.75, 0.25], qb:[0.5, 0.5], phi:[0.5]] | 2*t^2.25+4*t^3.+4*t^3.75+6*t^4.5+6*t^5.25+9*t^6.-t^4.5/y-t^4.5*y | detail | {a: 75/128, c: 95/128, q1: 3/4, q2: 1/4, qb1: 1/2, qb2: 1/2, phi1: 1/2} |
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 |
|---|
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 |
|---|
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 |
|---|---|---|---|---|---|---|---|---|---|
| 37 | SU2adj1nf2 | $\phi_1q_1^2$ | 0.6732 | 0.8001 | 0.8414 | [X:[], M:[], q:[0.7969, 0.5261], qb:[0.5261, 0.5261], phi:[0.4062]] | t^2.44+3*t^3.16+3*t^3.97+6*t^4.38+t^4.87+3*t^5.59-9*t^6.-t^4.22/y-t^4.22*y | detail |