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 |
|---|---|---|---|---|---|---|---|---|---|
| 58576 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ | 1.4323 | 1.6298 | 0.8788 | [X:[1.3345], M:[1.0017, 0.8319], q:[0.4162, 0.5861], qb:[0.582, 0.4191], phi:[0.3328]] | [X:[[0, 4]], M:[[0, 6], [0, -5]], q:[[-1, 7], [-1, 18]], qb:[[1, -13], [1, 0]], phi:[[0, -2]]] | 2 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{3}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }X_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }M_{2}^{2}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}^{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}^{2}q_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{2}$, ${ }M_{2}q_{2}\tilde{q}_{2}$, ${ }q_{1}q_{2}\tilde{q}_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}^{2}$, ${ }\phi_{1}^{6}$ | ${}$ | -2 | t^2.5 + t^2.51 + t^2.99 + t^3.01 + t^3.02 + t^3.5 + t^3.99 + t^4. + t^4.01 + 2*t^4.5 + 2*t^4.99 + t^5. + 2*t^5.01 + t^5.25 + t^5.26 + 3*t^5.5 + t^5.51 + t^5.52 + t^5.75 + t^5.76 + t^5.99 - 2*t^6. + 3*t^6.01 + t^6.02 + t^6.03 + t^6.25 + t^6.26 - t^6.49 + 3*t^6.5 + t^6.51 + 2*t^6.52 + t^6.74 + t^6.75 + t^6.76 + t^6.77 + t^6.99 + t^7. + 6*t^7.01 + 2*t^7.02 + t^7.03 + 5*t^7.5 + 2*t^7.51 + 5*t^7.52 + t^7.74 - 2*t^7.75 + 2*t^7.76 + t^7.77 + 2*t^7.99 + t^8. + 8*t^8.01 + 2*t^8.02 + 3*t^8.03 + t^8.23 - 2*t^8.24 + 3*t^8.25 + 4*t^8.27 - t^8.49 + 3*t^8.5 - 2*t^8.51 + 7*t^8.52 + t^8.53 + t^8.54 - t^8.73 + t^8.74 - 3*t^8.75 + 6*t^8.76 + t^8.78 + 2*t^8.98 - 2*t^8.99 + t^8.99/y^2 - t^4./y - t^5./y - t^6.49/y - t^6.5/y - t^6.99/y - t^7./y - t^7.01/y - t^7.49/y - t^7.5/y - t^7.99/y - t^8.01/y + t^8.49/y + t^8.5/y + (2*t^8.51)/y + t^8.52/y - (2*t^8.99)/y - t^4.*y - t^5.*y - t^6.49*y - t^6.5*y - t^6.99*y - t^7.*y - t^7.01*y - t^7.49*y - t^7.5*y - t^7.99*y - t^8.01*y + t^8.49*y + t^8.5*y + 2*t^8.51*y + t^8.52*y - 2*t^8.99*y + t^8.99*y^2 | t^2.5/g2^5 + g2^7*t^2.51 + t^2.99/g2^6 + g2^6*t^3.01 + g2^18*t^3.02 + g2^5*t^3.5 + t^3.99/g2^8 + g2^4*t^4. + g2^16*t^4.01 + 2*g2^3*t^4.5 + (2*t^4.99)/g2^10 + g2^2*t^5. + 2*g2^14*t^5.01 + (g2^30*t^5.25)/g1^3 + (g1^3*t^5.26)/g2^15 + 3*g2*t^5.5 + g2^13*t^5.51 + g2^25*t^5.52 + (g1^3*t^5.75)/g2^28 + (g2^41*t^5.76)/g1^3 + t^5.99/g2^12 - 2*t^6. + 3*g2^12*t^6.01 + g2^24*t^6.02 + g2^36*t^6.03 + (g2^28*t^6.25)/g1^3 + (g1^3*t^6.26)/g2^17 - t^6.49/g2^13 + (3*t^6.5)/g2 + g2^11*t^6.51 + 2*g2^23*t^6.52 + (g2^15*t^6.74)/g1^3 + (g1^3*t^6.75)/g2^30 + (g2^39*t^6.76)/g1^3 + (g1^3*t^6.77)/g2^6 + t^6.99/g2^14 + t^7./g2^2 + 6*g2^10*t^7.01 + 2*g2^22*t^7.02 + g2^34*t^7.03 - (g1^3*t^7.25)/g2^31 + (g2^26*t^7.25)/g1^3 + (g1^3*t^7.26)/g2^19 - (g2^38*t^7.26)/g1^3 + (5*t^7.5)/g2^3 + 2*g2^9*t^7.51 + 5*g2^21*t^7.52 + (g1^3*t^7.74)/g2^32 - (g1^3*t^7.75)/g2^20 - (g2^25*t^7.75)/g1^3 + (2*g2^37*t^7.76)/g1^3 + (g1^3*t^7.77)/g2^8 + (2*t^7.99)/g2^16 + t^8./g2^4 + 8*g2^8*t^8.01 + 2*g2^20*t^8.02 + 3*g2^32*t^8.03 + (g1^3*t^8.23)/g2^45 - (g1^3*t^8.24)/g2^33 - (g2^12*t^8.24)/g1^3 + (2*g1^3*t^8.25)/g2^21 + (g2^24*t^8.25)/g1^3 + g1^3*g2^3*t^8.27 + (3*g2^48*t^8.27)/g1^3 - t^8.49/g2^17 + (3*t^8.5)/g2^5 - 2*g2^7*t^8.51 + 7*g2^19*t^8.52 + g2^31*t^8.53 + g2^43*t^8.54 - (g1^3*t^8.73)/g2^46 + (g1^3*t^8.74)/g2^34 - (g1^3*t^8.75)/g2^22 - (2*g2^23*t^8.75)/g1^3 + (3*g1^3*t^8.76)/g2^10 + (3*g2^35*t^8.76)/g1^3 + (g2^59*t^8.78)/g1^3 + (2*t^8.98)/g2^18 - (2*t^8.99)/g2^6 + t^8.99/(g2^6*y^2) - t^4./(g2^2*y) - t^5./(g2^4*y) - t^6.49/(g2^7*y) - (g2^5*t^6.5)/y - t^6.99/(g2^8*y) - (g2^4*t^7.)/y - (g2^16*t^7.01)/y - t^7.49/(g2^9*y) - (g2^3*t^7.5)/y - t^7.99/(g2^10*y) - (g2^14*t^8.01)/y + t^8.49/(g2^11*y) + (g2*t^8.5)/y + (2*g2^13*t^8.51)/y + (g2^25*t^8.52)/y - (2*t^8.99)/(g2^12*y) - (t^4.*y)/g2^2 - (t^5.*y)/g2^4 - (t^6.49*y)/g2^7 - g2^5*t^6.5*y - (t^6.99*y)/g2^8 - g2^4*t^7.*y - g2^16*t^7.01*y - (t^7.49*y)/g2^9 - g2^3*t^7.5*y - (t^7.99*y)/g2^10 - g2^14*t^8.01*y + (t^8.49*y)/g2^11 + g2*t^8.5*y + 2*g2^13*t^8.51*y + g2^25*t^8.52*y - (2*t^8.99*y)/g2^12 + (t^8.99*y^2)/g2^6 |
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 |
|---|---|---|---|---|---|---|---|---|
| 60972 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{2}$ | 1.4357 | 1.632 | 0.8797 | [X:[1.3482], M:[1.0223, 0.8148, 0.9331], q:[0.4111, 0.6186], qb:[0.5666, 0.4482], phi:[0.3259]] | t^2.44 + t^2.58 + t^2.8 + t^2.93 + t^3.07 + t^3.56 + t^3.91 + t^4.04 + t^4.18 + 2*t^4.53 + 2*t^4.89 + t^5.02 + 2*t^5.16 + t^5.24 + t^5.3 + t^5.37 + t^5.38 + 3*t^5.51 + t^5.6 + t^5.72 + t^5.73 + 2*t^5.87 + t^5.92 - 2*t^6. - t^3.98/y - t^4.96/y - t^3.98*y - t^4.96*y | detail | |
| 61173 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{2}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}X_{2}$ | 1.0809 | 1.1902 | 0.9081 | [X:[1.5, 1.375], M:[1.25, 0.625], q:[0.3542, 0.9792], qb:[0.3958, 0.7708], phi:[0.25]] | t^2.25 + t^3. + t^3.38 + 2*t^3.75 + t^4.12 + 2*t^4.5 + 2*t^5.25 + 2*t^5.44 + 2*t^5.81 - t^3.75/y - t^4.5/y - t^6./y - t^3.75*y - t^4.5*y - t^6.*y | detail | {a: 17709/16384, c: 19501/16384, X1: 3/2, X2: 11/8, M1: 5/4, M2: 5/8, q1: 17/48, q2: 47/48, qb1: 19/48, qb2: 37/48, phi1: 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 |
|---|---|---|---|---|---|---|---|---|---|
| 57745 | SU3adj1nf2 | ${}M_{1}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{1}\phi_{1}^{3}$ + ${ }M_{2}\phi_{1}q_{1}\tilde{q}_{2}$ | 1.4747 | 1.6859 | 0.8747 | [X:[1.3265], M:[0.9898, 0.6722], q:[0.5057, 0.4841], qb:[0.5045, 0.4853], phi:[0.3367]] | t^2.02 + t^2.91 + 3*t^2.97 + t^3.03 + t^3.92 + 2*t^3.98 + t^4.03 + t^4.04 + t^4.92 + t^4.93 + t^4.98 + 4*t^4.99 + 2*t^5.05 + t^5.43 + t^5.44 + t^5.49 + t^5.5 + t^5.82 + t^5.87 + 2*t^5.88 + t^5.93 + 4*t^5.94 + t^5.95 + t^5.99 - t^4.01/y - t^5.02/y - t^4.01*y - t^5.02*y | detail |