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 |
---|---|---|---|---|---|---|---|---|---|
75469 | SU2adj2nf1 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ | 0.7528 | 0.7994 | 0.9417 | [X:[], M:[], q:[0.7018], qb:[0.7018], phi:[0.5963, 0.5528], S:[], Sb:[], A:[], Ab:[]] | [X:[], M:[], q:[[4, 0]], qb:[[0, 4]], phi:[[-4, -4], [3, 3]], S:[], Sb:[], A:[], Ab:[]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}\phi_{2}^{2}$, ${ }\phi_{1}\phi_{2}$, ${ }\phi_{1}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{2}q_{1}^{2}$, ${ }\phi_{2}\tilde{q}_{1}^{2}$ | ${}$ | -2 | t^3.317 + t^3.447 + t^3.578 + t^4.211 + 2*t^5.869 - 2*t^6. - t^6.131 + t^6.633 + t^6.764 + 2*t^6.894 + t^7.025 + t^7.156 + t^7.528 - 2*t^8.422 - 2*t^8.553 - t^4.658/y - t^4.789/y + t^7.211/y + t^7.342/y - t^7.975/y - t^8.106/y - t^8.236/y - t^8.367/y - t^4.658*y - t^4.789*y + t^7.211*y + t^7.342*y - t^7.975*y - t^8.106*y - t^8.236*y - t^8.367*y | g1^6*g2^6*t^3.317 + t^3.447/(g1*g2) + t^3.578/(g1^8*g2^8) + g1^4*g2^4*t^4.211 + g1^11*g2^3*t^5.869 + g1^3*g2^11*t^5.869 - 2*t^6. - t^6.131/(g1^7*g2^7) + g1^12*g2^12*t^6.633 + g1^5*g2^5*t^6.764 + (2*t^6.894)/(g1^2*g2^2) + t^7.025/(g1^9*g2^9) + t^7.156/(g1^16*g2^16) + g1^10*g2^10*t^7.528 - g1^12*g2^4*t^8.422 - g1^4*g2^12*t^8.422 - (g1^5*t^8.553)/g2^3 - (g2^5*t^8.553)/g1^3 - (g1^3*g2^3*t^4.658)/y - t^4.789/(g1^4*g2^4*y) + (g1^4*g2^4*t^7.211)/y + t^7.342/(g1^3*g2^3*y) - (g1^9*g2^9*t^7.975)/y - (g1^2*g2^2*t^8.106)/y - t^8.236/(g1^5*g2^5*y) - t^8.367/(g1^12*g2^12*y) - g1^3*g2^3*t^4.658*y - (t^4.789*y)/(g1^4*g2^4) + g1^4*g2^4*t^7.211*y + (t^7.342*y)/(g1^3*g2^3) - g1^9*g2^9*t^7.975*y - g1^2*g2^2*t^8.106*y - (t^8.236*y)/(g1^5*g2^5) - (t^8.367*y)/(g1^12*g2^12) |
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 |
---|---|---|---|---|---|---|---|---|
75482 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{1}\phi_{1}\phi_{2}$ | 0.7659 | 0.8223 | 0.9315 | [X:[], M:[0.8497], q:[0.6994], qb:[0.6994], phi:[0.6012, 0.5491], S:[], Sb:[], A:[], Ab:[]] | t^2.549 + t^3.295 + t^3.607 + t^4.196 + t^5.098 + 3*t^5.844 - 2*t^6. - t^4.647/y - t^4.804/y - t^4.647*y - t^4.804*y | detail | |
75494 | ${}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}$ + ${ }\phi_{2}^{2}X_{1}$ | 0.4526 | 0.4995 | 0.9062 | [X:[1.5], M:[], q:[0.5], qb:[0.5], phi:[1.0, 0.25], S:[], Sb:[], A:[], Ab:[]] | t^3. + 3*t^3.75 + t^4.5 - 3*t^6. - t^3.75/y - t^3.75*y | detail | {a: 927/2048, c: 1023/2048, X1: 3/2, q1: 1/2, qb1: 1/2, phi1: 1, phi2: 1/4} |
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 |
---|---|---|---|---|---|---|---|---|---|
75466 | SU2adj2nf1 | ${}$ | 0.7594 | 0.8162 | 0.9304 | [X:[], M:[], q:[0.6364], qb:[0.6364], phi:[0.5909, 0.5909], S:[], Sb:[], A:[], Ab:[]] | 3*t^3.545 + t^3.818 + 6*t^5.591 - 7*t^6. - (2*t^4.773)/y - 2*t^4.773*y | detail |