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 |
---|---|---|---|---|---|---|---|---|---|
61235 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ + ${ }M_{3}\phi_{1}q_{1}\tilde{q}_{1}$ | 1.4739 | 1.6801 | 0.8773 | [X:[1.3667], M:[0.8828, 0.9171, 0.7005], q:[0.5382, 0.5726], qb:[0.4446, 0.5447], phi:[0.3167]] | [X:[[0, 2]], M:[[-3, 11], [3, -23], [3, -16]], q:[[-4, 23], [2, -11]], qb:[[1, -6], [1, 0]], phi:[[0, -1]]] | 2 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{3}$, ${ }M_{1}$, ${ }M_{2}$, ${ }\phi_{1}^{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }X_{1}$, ${ }M_{3}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{1}$, ${ }M_{3}\phi_{1}^{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }M_{3}q_{1}\tilde{q}_{1}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$, ${ }M_{1}\phi_{1}^{3}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}\phi_{1}^{3}$, ${ }M_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{6}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}^{3}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}q_{2}$ | ${}$ | -2 | t^2.1 + t^2.65 + t^2.75 + t^2.85 + t^2.95 + t^3.05 + t^4. + t^4.1 + 2*t^4.2 + t^4.3 + t^4.75 + 2*t^4.85 + 2*t^4.95 + t^5.05 + 2*t^5.15 + 2*t^5.25 + t^5.3 + t^5.4 + 2*t^5.5 + t^5.55 + 2*t^5.6 + 2*t^5.7 + 2*t^5.8 + 2*t^5.9 - 2*t^6. + t^6.1 + 2*t^6.2 + t^6.3 + t^6.4 + t^6.5 + 2*t^6.75 + 5*t^6.85 + 4*t^6.95 + 5*t^7.05 + 5*t^7.15 + 2*t^7.25 + 2*t^7.35 + t^7.4 + t^7.45 + 2*t^7.5 + 3*t^7.6 + t^7.65 + t^7.69 + 3*t^7.7 + t^7.75 + 5*t^7.8 + 5*t^7.9 + t^7.94 + 4*t^8. + t^8.05 + t^8.1 + 2*t^8.15 + 3*t^8.2 + 3*t^8.25 + 4*t^8.3 + 3*t^8.35 + 2*t^8.4 + t^8.41 + 3*t^8.45 + 2*t^8.5 + 3*t^8.55 + 2*t^8.6 - t^8.65 - t^8.75 + 2*t^8.85 + 2*t^8.95 + t^8.85/y^2 - t^3.95/y - t^4.9/y - t^6.05/y - t^6.6/y - t^6.7/y - t^6.8/y - t^6.9/y - (2*t^7.)/y - t^7.55/y - t^7.65/y + t^7.85/y + t^8.05/y + t^8.4/y + t^8.5/y + (2*t^8.6)/y + t^8.7/y + t^8.8/y - t^8.9/y - t^3.95*y - t^4.9*y - t^6.05*y - t^6.6*y - t^6.7*y - t^6.8*y - t^6.9*y - 2*t^7.*y - t^7.55*y - t^7.65*y + t^7.85*y + t^8.05*y + t^8.4*y + t^8.5*y + 2*t^8.6*y + t^8.7*y + t^8.8*y - t^8.9*y + t^8.85*y^2 | (g1^3*t^2.1)/g2^16 + (g2^11*t^2.65)/g1^3 + (g1^3*t^2.75)/g2^23 + t^2.85/g2^3 + (g2^17*t^2.95)/g1^3 + (g1^3*t^3.05)/g2^17 + (g1^3*t^4.)/g2^18 + g2^2*t^4.1 + (g1^6*t^4.2)/g2^32 + (g2^22*t^4.2)/g1^3 + (g1^3*t^4.3)/g2^12 + t^4.75/g2^5 + (g1^6*t^4.85)/g2^39 + (g2^15*t^4.85)/g1^3 + (2*g1^3*t^4.95)/g2^19 + g2*t^5.05 + (g1^6*t^5.15)/g2^33 + (g2^21*t^5.15)/g1^3 + (2*g1^3*t^5.25)/g2^13 + (g2^22*t^5.3)/g1^6 + t^5.4/g2^12 + (g1^6*t^5.5)/g2^46 + (g2^8*t^5.5)/g1^3 + (g1^3*t^5.55)/g2^7 + (g1^3*t^5.6)/g2^26 + (g2^28*t^5.6)/g1^6 + (2*t^5.7)/g2^6 + (g1^6*t^5.8)/g2^40 + (g2^14*t^5.8)/g1^3 + (g1^3*t^5.9)/g2^20 + (g2^34*t^5.9)/g1^6 - 2*t^6. + (g1^6*t^6.1)/g2^34 + (2*g1^3*t^6.2)/g2^14 + (g1^9*t^6.3)/g2^48 + (g1^6*t^6.4)/g2^28 + (g1^3*t^6.5)/g2^8 + (g1^6*t^6.75)/g2^41 + (g2^13*t^6.75)/g1^3 + (4*g1^3*t^6.85)/g2^21 + (g2^33*t^6.85)/g1^6 + (g1^9*t^6.95)/g2^55 + (3*t^6.95)/g2 + (3*g1^6*t^7.05)/g2^35 + (2*g2^19*t^7.05)/g1^3 + (4*g1^3*t^7.15)/g2^15 + (g2^39*t^7.15)/g1^6 + (g1^9*t^7.25)/g2^49 + g2^5*t^7.25 + (2*g1^6*t^7.35)/g2^29 + (g2^6*t^7.4)/g1^3 + (g1^3*t^7.45)/g2^9 + (g1^3*t^7.5)/g2^28 + (g2^26*t^7.5)/g1^6 + (g1^9*t^7.6)/g2^62 + (2*t^7.6)/g2^8 + (g1^6*t^7.65)/g2^23 + (g2^66*t^7.69)/g1^12 + (2*g1^6*t^7.7)/g2^42 + (g2^12*t^7.7)/g1^3 + (g1^3*t^7.75)/g2^3 + (3*g1^3*t^7.8)/g2^22 + (2*g2^32*t^7.8)/g1^6 + (g1^9*t^7.9)/g2^56 + (4*t^7.9)/g2^2 + (g2^33*t^7.94)/g1^9 + (4*g1^6*t^8.)/g2^36 + t^8.05/(g1^3*g2) + (g2^38*t^8.1)/g1^6 + (g1^3*t^8.15)/g2^35 + (g2^19*t^8.15)/g1^6 + (g1^9*t^8.2)/g2^50 + 2*g2^4*t^8.2 + (g1^9*t^8.25)/g2^69 + t^8.25/g2^15 + (g2^39*t^8.25)/g1^9 + (4*g1^6*t^8.3)/g2^30 + (g1^6*t^8.35)/g2^49 + (2*g2^5*t^8.35)/g1^3 + (g1^3*t^8.4)/g2^10 + (g2^44*t^8.4)/g1^6 + (g1^12*t^8.41)/g2^64 + (2*g1^3*t^8.45)/g2^29 + (g2^25*t^8.45)/g1^6 + (g1^9*t^8.5)/g2^44 + g2^10*t^8.5 + (g1^9*t^8.55)/g2^63 + (2*t^8.55)/g2^9 + (2*g1^6*t^8.6)/g2^24 + (g1^6*t^8.65)/g2^43 - (2*g2^11*t^8.65)/g1^3 - (2*g1^3*t^8.75)/g2^23 + (g2^31*t^8.75)/g1^6 + (g1^9*t^8.85)/g2^57 + t^8.85/g2^3 + (5*g1^6*t^8.95)/g2^37 - (3*g2^17*t^8.95)/g1^3 + t^8.85/(g2^3*y^2) - t^3.95/(g2*y) - t^4.9/(g2^2*y) - (g1^3*t^6.05)/(g2^17*y) - (g2^10*t^6.6)/(g1^3*y) - (g1^3*t^6.7)/(g2^24*y) - t^6.8/(g2^4*y) - (g2^16*t^6.9)/(g1^3*y) - (2*g1^3*t^7.)/(g2^18*y) - (g2^9*t^7.55)/(g1^3*y) - (g1^3*t^7.65)/(g2^25*y) + (g1^6*t^7.85)/(g2^39*y) + (g2*t^8.05)/y + t^8.4/(g2^12*y) + (g2^8*t^8.5)/(g1^3*y) + (g1^3*t^8.6)/(g2^26*y) + (g2^28*t^8.6)/(g1^6*y) + t^8.7/(g2^6*y) + (g2^14*t^8.8)/(g1^3*y) - (g1^3*t^8.9)/(g2^20*y) - (t^3.95*y)/g2 - (t^4.9*y)/g2^2 - (g1^3*t^6.05*y)/g2^17 - (g2^10*t^6.6*y)/g1^3 - (g1^3*t^6.7*y)/g2^24 - (t^6.8*y)/g2^4 - (g2^16*t^6.9*y)/g1^3 - (2*g1^3*t^7.*y)/g2^18 - (g2^9*t^7.55*y)/g1^3 - (g1^3*t^7.65*y)/g2^25 + (g1^6*t^7.85*y)/g2^39 + g2*t^8.05*y + (t^8.4*y)/g2^12 + (g2^8*t^8.5*y)/g1^3 + (g1^3*t^8.6*y)/g2^26 + (g2^28*t^8.6*y)/g1^6 + (t^8.7*y)/g2^6 + (g2^14*t^8.8*y)/g1^3 - (g1^3*t^8.9*y)/g2^20 + (t^8.85*y^2)/g2^3 |
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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
57988 | SU3adj1nf2 | ${}q_{1}q_{2}\tilde{q}_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{2}$ + ${ }\phi_{1}^{2}X_{1}$ + ${ }M_{2}q_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}q_{2}^{2}$ | 1.4534 | 1.6409 | 0.8857 | [X:[1.3668], M:[0.8794, 0.9196], q:[0.5343, 0.5745], qb:[0.4456, 0.5461], phi:[0.3166]] | t^2.64 + t^2.76 + t^2.85 + t^2.94 + t^3.06 + t^3.89 + t^4.01 + t^4.1 + t^4.19 + t^4.31 + t^4.84 + t^4.96 + t^5.14 + 2*t^5.26 + t^5.28 + t^5.4 + t^5.49 + t^5.52 + t^5.56 + t^5.58 + t^5.61 + 2*t^5.7 + t^5.79 + t^5.82 + t^5.88 + t^5.91 - 2*t^6. - t^3.95/y - t^4.9/y - t^3.95*y - t^4.9*y | detail |