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 |
---|---|---|---|---|---|---|---|---|---|
57282 | SU3adj1nf2 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ | 1.3045 | 1.4502 | 0.8995 | [X:[1.3943], M:[1.0914, 1.2114], q:[0.6971, 0.3943], qb:[0.6971, 0.3943], phi:[0.3029]] | [X:[[0, 0, 2]], M:[[0, 0, 3], [0, 0, -4]], q:[[-1, 0, 2], [0, -1, 4]], qb:[[1, 0, 0], [0, 1, 0]], phi:[[0, 0, -1]]] | 3 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}q_{1}\tilde{q}_{2}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$ | ${}$ | -5 | 4*t^3.274 + t^3.634 + 5*t^4.183 + t^5.091 + 2*t^5.366 - 5*t^6. + 6*t^6.274 + 10*t^6.549 - 3*t^6.909 + t^7.269 + 19*t^7.457 + 2*t^7.817 - 8*t^8.091 + 15*t^8.366 + 8*t^8.64 + 3*t^8.726 + t^8.726/y^2 - t^3.909/y - t^4.817/y - (3*t^7.183)/y - t^7.543/y - (5*t^8.091)/y - t^8.451/y - t^3.909*y - t^4.817*y - 3*t^7.183*y - t^7.543*y - 5*t^8.091*y - t^8.451*y + t^8.726*y^2 | (g2*g3^2*t^3.274)/g1 + 2*g3^3*t^3.274 + (g1*g3^4*t^3.274)/g2 + t^3.634/g3^4 + (g2*g3*t^4.183)/g1 + 3*g3^2*t^4.183 + (g1*g3^3*t^4.183)/g2 + g3*t^5.091 + (g1*g2^2*t^5.366)/g3 + (g3^9*t^5.366)/(g1*g2^2) - 3*t^6. - (g2*t^6.)/(g1*g3) - (g1*g3*t^6.)/g2 + (g2^3*t^6.274)/g3^3 + (g1*g2^2*t^6.274)/g3^2 + (g1^2*g2*t^6.274)/g3 + (g3^7*t^6.274)/(g1^2*g2) + (g3^8*t^6.274)/(g1*g2^2) + (g3^9*t^6.274)/g2^3 + (g2^2*g3^4*t^6.549)/g1^2 + (2*g2*g3^5*t^6.549)/g1 + 4*g3^6*t^6.549 + (2*g1*g3^7*t^6.549)/g2 + (g1^2*g3^8*t^6.549)/g2^2 - (g1*t^6.909)/g2 - (g2*t^6.909)/(g1*g3^2) - t^6.909/g3 + t^7.269/g3^8 + (g2^2*g3^3*t^7.457)/g1^2 + (5*g2*g3^4*t^7.457)/g1 + 7*g3^5*t^7.457 + (5*g1*g3^6*t^7.457)/g2 + (g1^2*g3^7*t^7.457)/g2^2 + (2*t^7.817)/g3^2 - (g2^3*t^8.091)/g3^5 - (2*g1*g2^2*t^8.091)/g3^4 - (g1^2*g2*t^8.091)/g3^3 - (g3^5*t^8.091)/(g1^2*g2) - (2*g3^6*t^8.091)/(g1*g2^2) - (g3^7*t^8.091)/g2^3 + (g2^2*g3^2*t^8.366)/g1^2 + (3*g2*g3^3*t^8.366)/g1 + 7*g3^4*t^8.366 + (3*g1*g3^5*t^8.366)/g2 + (g1^2*g3^6*t^8.366)/g2^2 + g2^3*g3*t^8.64 + 2*g1*g2^2*g3^2*t^8.64 + g1^2*g2*g3^3*t^8.64 + (g3^11*t^8.64)/(g1^2*g2) + (2*g3^12*t^8.64)/(g1*g2^2) + (g3^13*t^8.64)/g2^3 + (3*t^8.726)/g3^3 + t^8.726/(g3^3*y^2) - t^3.909/(g3*y) - t^4.817/(g3^2*y) - (g2*g3*t^7.183)/(g1*y) - (g3^2*t^7.183)/y - (g1*g3^3*t^7.183)/(g2*y) - t^7.543/(g3^5*y) - (g2*t^8.091)/(g1*y) - (3*g3*t^8.091)/y - (g1*g3^2*t^8.091)/(g2*y) - t^8.451/(g3^6*y) - (t^3.909*y)/g3 - (t^4.817*y)/g3^2 - (g2*g3*t^7.183*y)/g1 - g3^2*t^7.183*y - (g1*g3^3*t^7.183*y)/g2 - (t^7.543*y)/g3^5 - (g2*t^8.091*y)/g1 - 3*g3*t^8.091*y - (g1*g3^2*t^8.091*y)/g2 - (t^8.451*y)/g3^6 + (t^8.726*y^2)/g3^3 |
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 |
---|---|---|---|---|---|---|---|---|
57994 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ | 1.0703 | 1.1623 | 0.9209 | [X:[1.5507], M:[1.3261, 0.8986], q:[1.0749, 0.401], qb:[0.4758, 0.7005], phi:[0.2246]] | t^2.63 + t^2.7 + t^3.3 + 2*t^3.98 + 2*t^4.65 + t^5.26 + t^5.33 + t^5.39 + 2*t^5.63 + t^5.93 - 2*t^6. - t^3.67/y - t^4.35/y - t^3.67*y - t^4.35*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 |
---|---|---|---|---|---|---|---|---|---|
47881 | SU3adj1nf2 | ${}\phi_{1}^{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ | 1.3224 | 1.4876 | 0.8889 | [X:[1.3809], M:[1.0713], q:[0.6904, 0.3809], qb:[0.6904, 0.3809], phi:[0.3096]] | t^2.285 + 4*t^3.214 + 5*t^4.143 + t^4.57 + t^5.071 + 2*t^5.285 + 4*t^5.499 - 5*t^6. - t^3.929/y - t^4.857/y - t^3.929*y - t^4.857*y | detail |