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 |
---|---|---|---|---|---|---|---|---|---|
56329 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{6}$ + ${ }M_{1}M_{7}$ | 0.6983 | 0.8586 | 0.8133 | [M:[1.0432, 0.928, 0.9568, 1.0432, 1.0144, 0.9568, 0.9568], q:[0.5216, 0.4352], qb:[0.5504, 0.5216], phi:[0.4928]] | [M:[[6], [-10], [-6], [6], [2], [-6], [-6]], q:[[3], [-9]], qb:[[7], [3]], phi:[[-1]]] | 1 | {a: 4364619/6250000, c: 2683247/3125000, M1: 652/625, M2: 116/125, M3: 598/625, M4: 652/625, M5: 634/625, M6: 598/625, M7: 598/625, q1: 326/625, q2: 272/625, qb1: 344/625, qb2: 326/625, phi1: 308/625} |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{2}$, ${ }M_{3}$, ${ }M_{6}$, ${ }M_{7}$, ${ }\phi_{1}^{2}$, ${ }M_{5}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{6}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{6}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}^{4}$ | ${}M_{2}\tilde{q}_{1}\tilde{q}_{2}$ | -4 | t^2.784 + 3*t^2.87 + t^2.957 + t^3.043 + t^3.216 + t^4.09 + 2*t^4.349 + t^4.435 + 3*t^4.608 + 2*t^4.694 + t^4.781 + t^5.568 + 2*t^5.654 + 5*t^5.741 + 4*t^5.827 + 2*t^5.914 - 4*t^6. + t^6.086 + t^6.173 - t^6.259 - t^6.346 + t^6.432 + t^6.874 + 3*t^6.96 + t^7.046 + t^7.133 + 4*t^7.219 + 4*t^7.306 + 2*t^7.392 + 4*t^7.478 + 5*t^7.565 + 4*t^7.651 - t^7.738 + t^7.91 + t^7.997 + t^8.179 + t^8.352 + 4*t^8.438 + 3*t^8.525 + 7*t^8.611 + 9*t^8.698 + 2*t^8.784 - 10*t^8.87 - t^8.957 - t^4.478/y - t^7.262/y - t^7.349/y + t^7.608/y + t^7.694/y + (3*t^8.654)/y + (4*t^8.741)/y + (4*t^8.827)/y + (3*t^8.914)/y - t^4.478*y - t^7.262*y - t^7.349*y + t^7.608*y + t^7.694*y + 3*t^8.654*y + 4*t^8.741*y + 4*t^8.827*y + 3*t^8.914*y | t^2.784/g1^10 + (3*t^2.87)/g1^6 + t^2.957/g1^2 + g1^2*t^3.043 + g1^10*t^3.216 + t^4.09/g1^19 + (2*t^4.349)/g1^7 + t^4.435/g1^3 + 3*g1^5*t^4.608 + 2*g1^9*t^4.694 + g1^13*t^4.781 + t^5.568/g1^20 + (2*t^5.654)/g1^16 + (5*t^5.741)/g1^12 + (4*t^5.827)/g1^8 + (2*t^5.914)/g1^4 - 4*t^6. + g1^4*t^6.086 + g1^8*t^6.173 - g1^12*t^6.259 - g1^16*t^6.346 + g1^20*t^6.432 + t^6.874/g1^29 + (3*t^6.96)/g1^25 + t^7.046/g1^21 + t^7.133/g1^17 + (4*t^7.219)/g1^13 + (4*t^7.306)/g1^9 + (2*t^7.392)/g1^5 + (4*t^7.478)/g1 + 5*g1^3*t^7.565 + 4*g1^7*t^7.651 - g1^11*t^7.738 + g1^19*t^7.91 + g1^23*t^7.997 + t^8.179/g1^38 + t^8.352/g1^30 + (4*t^8.438)/g1^26 + (3*t^8.525)/g1^22 + (7*t^8.611)/g1^18 + (9*t^8.698)/g1^14 + (2*t^8.784)/g1^10 - (10*t^8.87)/g1^6 - t^8.957/g1^2 - t^4.478/(g1*y) - t^7.262/(g1^11*y) - t^7.349/(g1^7*y) + (g1^5*t^7.608)/y + (g1^9*t^7.694)/y + (3*t^8.654)/(g1^16*y) + (4*t^8.741)/(g1^12*y) + (4*t^8.827)/(g1^8*y) + (3*t^8.914)/(g1^4*y) - (t^4.478*y)/g1 - (t^7.262*y)/g1^11 - (t^7.349*y)/g1^7 + g1^5*t^7.608*y + g1^9*t^7.694*y + (3*t^8.654*y)/g1^16 + (4*t^8.741*y)/g1^12 + (4*t^8.827*y)/g1^8 + (3*t^8.914*y)/g1^4 |
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 |
---|---|---|---|---|---|---|---|---|
58647 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{6}$ + ${ }M_{1}M_{7}$ + ${ }M_{8}\phi_{1}^{2}$ | 0.6971 | 0.8562 | 0.8142 | [M:[1.0391, 0.9348, 0.9609, 1.0391, 1.013, 0.9609, 0.9609, 1.013], q:[0.5196, 0.4413], qb:[0.5456, 0.5196], phi:[0.4935]] | t^2.804 + 3*t^2.883 + 2*t^3.039 + t^3.196 + t^4.129 + 2*t^4.363 + t^4.441 + 3*t^4.598 + 2*t^4.676 + t^4.754 + t^5.609 + 2*t^5.687 + 4*t^5.765 + 2*t^5.844 + 4*t^5.922 - 5*t^6. - t^4.48/y - t^4.48*y | detail | {a: 58313101/83656536, c: 8952868/10457067, M1: 1940/1867, M2: 5236/5601, M3: 1794/1867, M4: 1940/1867, M5: 5674/5601, M6: 1794/1867, M7: 1794/1867, M8: 5674/5601, q1: 970/1867, q2: 824/1867, qb1: 3056/5601, qb2: 970/1867, phi1: 2764/5601} |
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 |
---|---|---|---|---|---|---|---|---|---|
51490 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{5}\phi_{1}^{2}$ + ${ }M_{4}M_{6}$ + ${ }M_{1}M_{6}$ | 0.6949 | 0.8521 | 0.8155 | [M:[1.0309, 0.9485, 0.9691, 1.0309, 1.0103, 0.9691], q:[0.5154, 0.4537], qb:[0.536, 0.5154], phi:[0.4949]] | t^2.846 + 2*t^2.907 + t^2.969 + t^3.031 + t^3.093 + t^3.154 + t^4.207 + 2*t^4.392 + t^4.454 + 3*t^4.577 + 2*t^4.639 + t^4.701 + t^5.691 + t^5.753 + 2*t^5.815 + 3*t^5.876 + 2*t^5.938 - 2*t^6. - t^4.485/y - t^4.485*y | detail |