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 |
---|---|---|---|---|---|---|---|---|---|
61 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}q_{1}q_{2}$ | 0.6696 | 0.8036 | 0.8333 | [M:[0.7619], q:[0.8095, 0.4286], qb:[0.619, 0.619], phi:[0.381]] | [M:[[-4, -4]], q:[[1, 1], [3, 3]], qb:[[4, 0], [0, 4]], phi:[[-2, -2]]] | 2 | {a: 75/112, c: 45/56, M1: 16/21, q1: 17/21, q2: 3/7, qb1: 13/21, qb2: 13/21, phi1: 8/21} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{1}$, ${ }\phi_{1}^{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}q_{2}\tilde{q}_{1}$, ${ }M_{1}q_{2}\tilde{q}_{2}$ | ${}M_{1}\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{3}q_{2}^{2}$, ${ }M_{1}\tilde{q}_{1}\tilde{q}_{2}$ | -2 | 2*t^2.286 + 2*t^3.143 + 2*t^3.714 + 4*t^4.286 + 3*t^4.571 + 3*t^4.857 + 2*t^5.429 - 2*t^6. + 3*t^6.286 + 8*t^6.857 + t^7.143 + 8*t^7.429 + 8*t^8. - 3*t^8.286 + 7*t^8.571 - t^4.143/y - (2*t^6.429)/y + t^7.571/y + (2*t^7.857)/y + (4*t^8.429)/y - (3*t^8.714)/y - t^4.143*y - 2*t^6.429*y + t^7.571*y + 2*t^7.857*y + 4*t^8.429*y - 3*t^8.714*y | (2*t^2.286)/(g1^4*g2^4) + g1^7*g2^3*t^3.143 + g1^3*g2^7*t^3.143 + 2*g1^4*g2^4*t^3.714 + 2*g1^5*g2*t^4.286 + 2*g1*g2^5*t^4.286 + (3*t^4.571)/(g1^8*g2^8) + (g1^6*t^4.857)/g2^2 + g1^2*g2^2*t^4.857 + (g2^6*t^4.857)/g1^2 + (g1^3*t^5.429)/g2 + (g2^3*t^5.429)/g1 - (g1^4*t^6.)/g2^4 - (g2^4*t^6.)/g1^4 + g1^14*g2^6*t^6.286 + g1^10*g2^10*t^6.286 + g1^6*g2^14*t^6.286 + (4*t^6.857)/(g1^12*g2^12) + 2*g1^11*g2^7*t^6.857 + 2*g1^7*g2^11*t^6.857 + (g1^2*t^7.143)/g2^6 - t^7.143/(g1^2*g2^2) + (g2^2*t^7.143)/g1^6 + 2*g1^12*g2^4*t^7.429 + 4*g1^8*g2^8*t^7.429 + 2*g1^4*g2^12*t^7.429 + g1^13*g2*t^8. + 3*g1^9*g2^5*t^8. + 3*g1^5*g2^9*t^8. + g1*g2^13*t^8. - t^8.286/g1^8 - t^8.286/g2^8 - t^8.286/(g1^4*g2^4) + 3*g1^10*g2^2*t^8.571 + g1^6*g2^6*t^8.571 + 3*g1^2*g2^10*t^8.571 - t^4.143/(g1^2*g2^2*y) - (2*t^6.429)/(g1^6*g2^6*y) + t^7.571/(g1^8*g2^8*y) + (2*g1^2*g2^2*t^7.857)/y + (2*g1^3*t^8.429)/(g2*y) + (2*g2^3*t^8.429)/(g1*y) - (3*t^8.714)/(g1^10*g2^10*y) - (t^4.143*y)/(g1^2*g2^2) - (2*t^6.429*y)/(g1^6*g2^6) + (t^7.571*y)/(g1^8*g2^8) + 2*g1^2*g2^2*t^7.857*y + (2*g1^3*t^8.429*y)/g2 + (2*g2^3*t^8.429*y)/g1 - (3*t^8.714*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 |
---|---|---|---|---|---|---|---|---|
94 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}q_{2}^{2}$ | 0.6885 | 0.8369 | 0.8227 | [M:[0.7483, 0.7483], q:[0.8129, 0.4388], qb:[0.6259, 0.6259], phi:[0.3741]] | 3*t^2.245 + 2*t^3.194 + t^3.755 + 4*t^4.316 + 6*t^4.49 + 3*t^4.878 + 4*t^5.439 - 3*t^6. - t^4.122/y - t^4.122*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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
44 | SU2adj1nf2 | ${}\phi_{1}q_{1}^{2}$ + ${ }\phi_{1}^{2}\tilde{q}_{1}\tilde{q}_{2}$ | 0.6515 | 0.7734 | 0.8425 | [q:[0.8051, 0.4152], qb:[0.6101, 0.6101], phi:[0.3899]] | t^2.339 + 2*t^3.076 + 3*t^3.661 + 4*t^4.245 + t^4.679 + 3*t^4.83 - 3*t^6. - t^4.17/y - t^4.17*y | detail |