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 |
|---|---|---|---|---|---|---|---|---|---|
| 229 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{2}$ | 0.7145 | 0.8771 | 0.8147 | [M:[0.9328, 0.9328, 1.0672, 0.7984], q:[0.4664, 0.6008], qb:[0.4664, 0.6008], phi:[0.4664]] | [M:[[-4, 1, 2], [0, -1, -6], [2, 0, 2], [-6, 0, -6]], q:[[-2, -1, -2], [6, 0, 0]], qb:[[0, 1, 0], [0, 0, 6]], phi:[[-1, 0, -1]]] | 3 |
| Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
|---|---|---|---|---|
| ${}M_{4}$, ${ }M_{2}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }q_{2}\tilde{q}_{1}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{1}^{2}$ | ${}M_{1}M_{3}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}q_{1}\tilde{q}_{2}$ | 1 | t^2.395 + 3*t^2.798 + 3*t^3.202 + 3*t^4.198 + 4*t^4.601 + t^4.791 + 3*t^5.004 + 3*t^5.194 + 5*t^5.597 + t^6. + t^6.403 + 3*t^6.593 + 9*t^6.996 + t^7.186 + 10*t^7.399 + 3*t^7.589 + 6*t^7.802 + 5*t^7.992 + 2*t^8.205 + 7*t^8.395 - 2*t^8.798 + 3*t^8.988 - t^4.399/y - t^6.795/y - (2*t^7.198)/y + (2*t^7.601)/y + t^8.004/y + (3*t^8.194)/y + (6*t^8.597)/y - t^4.399*y - t^6.795*y - 2*t^7.198*y + 2*t^7.601*y + t^8.004*y + 3*t^8.194*y + 6*t^8.597*y | t^2.395/(g1^6*g3^6) + t^2.798/(g2*g3^6) + t^2.798/(g1^2*g3^2) + (g2*g3^2*t^2.798)/g1^4 + g1^6*g2*t^3.202 + g1^2*g3^2*t^3.202 + (g3^4*t^3.202)/(g1^2*g2) + t^4.198/(g1^5*g2^2*g3^5) + t^4.198/(g1^3*g3^3) + (g2^2*t^4.198)/(g1*g3) + (g1^3*t^4.601)/(g2*g3^3) + (g1^5*g2*t^4.601)/g3 + (g3^3*t^4.601)/(g1^3*g2) + (g2*g3^5*t^4.601)/g1 + t^4.791/(g1^12*g3^12) + (g1^11*t^5.004)/g3 + g1^5*g3^5*t^5.004 + (g3^11*t^5.004)/g1 + t^5.194/(g1^6*g2*g3^12) + t^5.194/(g1^8*g3^8) + (g2*t^5.194)/(g1^10*g3^4) + t^5.597/(g2^2*g3^12) + (3*t^5.597)/(g1^4*g3^4) + (g2^2*g3^4*t^5.597)/g1^8 - 3*t^6. + (g1^2*t^6.)/(g2*g3^4) + (g1^4*g2*t^6.)/g3^2 + (g3^2*t^6.)/(g1^4*g2) + (g2*g3^4*t^6.)/g1^2 - (g1^6*t^6.403)/g2 + g1^12*g2^2*t^6.403 + g1^4*g3^4*t^6.403 + (g3^8*t^6.403)/(g1^4*g2^2) - g1^2*g2*g3^8*t^6.403 + t^6.593/(g1^11*g2^2*g3^11) + t^6.593/(g1^9*g3^9) + (g2^2*t^6.593)/(g1^7*g3^7) + t^6.996/(g1^5*g2^3*g3^11) + t^6.996/(g1^3*g2*g3^9) + t^6.996/(g1^7*g2^2*g3^7) + (g2*t^6.996)/(g1*g3^7) + t^6.996/(g1^5*g3^5) + t^6.996/(g1^9*g2*g3^3) + (g2^2*t^6.996)/(g1^3*g3^3) + (g2*t^6.996)/(g1^7*g3) + (g2^3*g3*t^6.996)/g1^5 + t^7.186/(g1^18*g3^18) + (g1^3*t^7.399)/(g2^2*g3^9) + (g1^5*t^7.399)/g3^7 + (g1*t^7.399)/(g2*g3^5) + (g1^3*g2*t^7.399)/g3^3 + t^7.399/(g1^7*g2^3*g3) + (g1^5*g2^3*t^7.399)/g3 + (g3*t^7.399)/(g1^5*g2) + (g2*g3^3*t^7.399)/g1^3 + (g3^5*t^7.399)/g1^7 + (g2^2*g3^7*t^7.399)/g1^5 + t^7.589/(g1^12*g2*g3^18) + t^7.589/(g1^14*g3^14) + (g2*t^7.589)/(g1^16*g3^10) + (g1^11*t^7.802)/(g2*g3^7) + (g1^9*t^7.802)/g3^3 + (g1^11*g2^2*t^7.802)/g3 + (g3^7*t^7.802)/(g1^5*g2^2) + (g3^9*t^7.802)/g1^3 + (g2*g3^13*t^7.802)/g1^5 + t^7.992/(g1^6*g2^2*g3^18) + (3*t^7.992)/(g1^10*g3^10) + (g2^2*t^7.992)/(g1^14*g3^2) + (g1^17*g2*t^8.205)/g3 + (g3^15*t^8.205)/(g1^3*g2) + t^8.395/(g2^3*g3^18) + t^8.395/(g1^10*g2^4*g3^10) + (2*t^8.395)/(g1^4*g2*g3^10) - t^8.395/(g1^6*g3^6) + (2*g2*t^8.395)/(g1^8*g3^2) + (g2^4*t^8.395)/(g1^2*g3^2) + (g2^3*g3^6*t^8.395)/g1^12 + t^8.798/(g1^6*g2) - g2^2*t^8.798 + (g1^2*t^8.798)/(g2^2*g3^10) + t^8.798/(g1^2*g2^3*g3^8) - (3*t^8.798)/(g2*g3^6) - t^8.798/(g1^4*g2^2*g3^4) + (g1^2*g2*t^8.798)/g3^4 - (2*t^8.798)/(g1^2*g3^2) + t^8.798/(g1^8*g2^3*g3^2) + (g1^4*g2^3*t^8.798)/g3^2 - (3*g2*g3^2*t^8.798)/g1^4 + (g2^3*g3^4*t^8.798)/g1^2 + (g2^2*g3^6*t^8.798)/g1^6 + t^8.988/(g1^17*g2^2*g3^17) + t^8.988/(g1^15*g3^15) + (g2^2*t^8.988)/(g1^13*g3^13) - t^4.399/(g1*g3*y) - t^6.795/(g1^7*g3^7*y) - t^7.198/(g1*g2*g3^7*y) - (g2*g3*t^7.198)/(g1^5*y) + (g1^3*t^7.601)/(g2*g3^3*y) + (g2*g3^5*t^7.601)/(g1*y) + (g1^5*g3^5*t^8.004)/y + t^8.194/(g1^6*g2*g3^12*y) + t^8.194/(g1^8*g3^8*y) + (g2*t^8.194)/(g1^10*g3^4*y) + (g2*t^8.597)/(g1^6*y) + t^8.597/(g1^2*g2*g3^8*y) + (g2*t^8.597)/(g3^6*y) + (2*t^8.597)/(g1^4*g3^4*y) + t^8.597/(g1^8*g2*g3^2*y) - (t^4.399*y)/(g1*g3) - (t^6.795*y)/(g1^7*g3^7) - (t^7.198*y)/(g1*g2*g3^7) - (g2*g3*t^7.198*y)/g1^5 + (g1^3*t^7.601*y)/(g2*g3^3) + (g2*g3^5*t^7.601*y)/g1 + g1^5*g3^5*t^8.004*y + (t^8.194*y)/(g1^6*g2*g3^12) + (t^8.194*y)/(g1^8*g3^8) + (g2*t^8.194*y)/(g1^10*g3^4) + (g2*t^8.597*y)/g1^6 + (t^8.597*y)/(g1^2*g2*g3^8) + (g2*t^8.597*y)/g3^6 + (2*t^8.597*y)/(g1^4*g3^4) + (t^8.597*y)/(g1^8*g2*g3^2) |
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 |
|---|---|---|---|---|---|---|---|---|
| 373 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{3}M_{5}$ | 0.7211 | 0.8891 | 0.811 | [M:[0.9247, 0.9247, 1.0753, 0.774, 0.9247], q:[0.4623, 0.613], qb:[0.4623, 0.613], phi:[0.4623]] | t^2.322 + 4*t^2.774 + 2*t^3.226 + 3*t^4.161 + 4*t^4.613 + t^4.644 + 3*t^5.065 + 4*t^5.096 + 8*t^5.548 - t^4.387/y - t^4.387*y | detail | |
| 1751 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{4}X_{1}$ | 0.6135 | 0.751 | 0.8169 | [X:[1.6], M:[0.8, 0.8, 1.2, 0.4], q:[0.4, 0.8], qb:[0.4, 0.8], phi:[0.4]] | 3*t^2.4 + 6*t^3.6 + 7*t^4.8 + 9*t^6. - t^4.2/y - t^4.2*y | detail | {a: 1227/2000, c: 751/1000, X1: 8/5, M1: 4/5, M2: 4/5, M3: 6/5, M4: 2/5, q1: 2/5, q2: 4/5, qb1: 2/5, qb2: 4/5, phi1: 2/5} |
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 |
|---|---|---|---|---|---|---|---|---|---|
| 138 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ | 0.7722 | 0.9495 | 0.8132 | [M:[0.7745, 0.7745, 0.7745, 0.7745], q:[0.6127, 0.6127], qb:[0.6127, 0.6127], phi:[0.3873]] | 5*t^2.324 + 2*t^3.676 + 15*t^4.647 + 10*t^4.838 - 6*t^6. - t^4.162/y - t^4.162*y | detail |