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 |
---|---|---|---|---|---|---|---|---|---|
6474 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{9}q_{1}\tilde{q}_{2}$ | 0.6499 | 0.858 | 0.7574 | [M:[0.9291, 1.0, 1.188, 0.7411, 1.2589, 0.812, 0.7057, 0.7766, 0.6702], q:[0.5709, 0.5], qb:[0.2411, 0.7589], phi:[0.4823]] | [M:[[-8], [0], [-7], [-1], [1], [7], [-5], [3], [-9]], q:[[8], [0]], qb:[[-1], [1]], phi:[[-2]]] | 1 |
Relevant Operators | Marginal Operators | $n_{marginal}$$-$$|F_{IR}|$ | Superconformal Index | Refined index |
---|---|---|---|---|
${}M_{9}$, ${ }M_{7}$, ${ }M_{4}$, ${ }M_{8}$, ${ }M_{6}$, ${ }M_{1}$, ${ }\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }M_{9}^{2}$, ${ }M_{7}M_{9}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{9}$, ${ }M_{4}M_{7}$, ${ }M_{8}M_{9}$, ${ }M_{4}^{2}$, ${ }M_{7}M_{8}$, ${ }M_{6}M_{9}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }M_{4}M_{8}$, ${ }M_{4}M_{6}$, ${ }M_{8}^{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}M_{8}$, ${ }M_{1}M_{9}$, ${ }M_{6}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{7}$, ${ }M_{9}\phi_{1}^{2}$, ${ }M_{9}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{9}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{1}M_{8}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{6}$, ${ }M_{8}\phi_{1}^{2}$, ${ }M_{8}\phi_{1}\tilde{q}_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{8}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}M_{9}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}^{3}\tilde{q}_{1}^{2}$, ${ }\phi_{1}^{2}\tilde{q}_{1}^{4}$, ${ }M_{5}M_{7}$, ${ }M_{2}\phi_{1}^{2}$ | ${}$ | -2 | t^2.011 + t^2.117 + t^2.223 + t^2.33 + t^2.436 + t^2.787 + 2*t^2.894 + t^3. + t^3.777 + t^4.021 + t^4.128 + 2*t^4.234 + 2*t^4.34 + 4*t^4.447 + 2*t^4.553 + 3*t^4.66 + t^4.766 + t^4.798 + 2*t^4.872 + 3*t^4.904 + 3*t^5.011 + 4*t^5.117 + 3*t^5.223 + 3*t^5.33 + t^5.436 + t^5.575 + 2*t^5.681 + 4*t^5.787 + 2*t^5.894 - 2*t^6. + t^6.032 + t^6.138 - t^6.213 + 2*t^6.245 + 3*t^6.351 + 4*t^6.458 + 5*t^6.564 + 6*t^6.67 + 4*t^6.777 + t^6.809 + 4*t^6.883 + 3*t^6.915 + 3*t^6.989 + 4*t^7.021 + 3*t^7.096 + 6*t^7.128 + 2*t^7.202 + 7*t^7.234 + 2*t^7.308 + 9*t^7.34 + 6*t^7.447 + 5*t^7.553 + t^7.585 + 3*t^7.66 + 3*t^7.692 + 3*t^7.766 + 6*t^7.798 + t^7.872 + 6*t^7.904 - t^7.979 + 4*t^8.011 + t^8.043 + 2*t^8.117 + t^8.149 + 2*t^8.256 - 5*t^8.33 + 4*t^8.362 - 5*t^8.436 + 7*t^8.468 - 4*t^8.542 + 9*t^8.575 - t^8.649 + 12*t^8.681 + 4*t^8.787 + t^8.819 + 2*t^8.894 + 3*t^8.926 - t^4.447/y - t^6.458/y - t^6.564/y - t^6.777/y + t^7.128/y + t^7.34/y + (2*t^7.447)/y + (3*t^7.553)/y + (2*t^7.66)/y + t^7.766/y + t^7.798/y + (3*t^7.904)/y + (4*t^8.011)/y + (5*t^8.117)/y + (4*t^8.223)/y + (4*t^8.33)/y + (2*t^8.436)/y - t^8.468/y - t^8.575/y + t^8.681/y + (2*t^8.787)/y + (2*t^8.894)/y - t^4.447*y - t^6.458*y - t^6.564*y - t^6.777*y + t^7.128*y + t^7.34*y + 2*t^7.447*y + 3*t^7.553*y + 2*t^7.66*y + t^7.766*y + t^7.798*y + 3*t^7.904*y + 4*t^8.011*y + 5*t^8.117*y + 4*t^8.223*y + 4*t^8.33*y + 2*t^8.436*y - t^8.468*y - t^8.575*y + t^8.681*y + 2*t^8.787*y + 2*t^8.894*y | t^2.011/g1^9 + t^2.117/g1^5 + t^2.223/g1 + g1^3*t^2.33 + g1^7*t^2.436 + t^2.787/g1^8 + (2*t^2.894)/g1^4 + t^3. + g1*t^3.777 + t^4.021/g1^18 + t^4.128/g1^14 + (2*t^4.234)/g1^10 + (2*t^4.34)/g1^6 + (4*t^4.447)/g1^2 + 2*g1^2*t^4.553 + 3*g1^6*t^4.66 + g1^10*t^4.766 + t^4.798/g1^17 + 2*g1^14*t^4.872 + (3*t^4.904)/g1^13 + (3*t^5.011)/g1^9 + (4*t^5.117)/g1^5 + (3*t^5.223)/g1 + 3*g1^3*t^5.33 + g1^7*t^5.436 + t^5.575/g1^16 + (2*t^5.681)/g1^12 + (4*t^5.787)/g1^8 + (2*t^5.894)/g1^4 - 2*t^6. + t^6.032/g1^27 + t^6.138/g1^23 - g1^8*t^6.213 + (2*t^6.245)/g1^19 + (3*t^6.351)/g1^15 + (4*t^6.458)/g1^11 + (5*t^6.564)/g1^7 + (6*t^6.67)/g1^3 + 4*g1*t^6.777 + t^6.809/g1^26 + 4*g1^5*t^6.883 + (3*t^6.915)/g1^22 + 3*g1^9*t^6.989 + (4*t^7.021)/g1^18 + 3*g1^13*t^7.096 + (6*t^7.128)/g1^14 + 2*g1^17*t^7.202 + (7*t^7.234)/g1^10 + 2*g1^21*t^7.308 + (9*t^7.34)/g1^6 + (6*t^7.447)/g1^2 + 5*g1^2*t^7.553 + t^7.585/g1^25 + 3*g1^6*t^7.66 + (3*t^7.692)/g1^21 + 3*g1^10*t^7.766 + (6*t^7.798)/g1^17 + g1^14*t^7.872 + (6*t^7.904)/g1^13 - g1^18*t^7.979 + (4*t^8.011)/g1^9 + t^8.043/g1^36 + (2*t^8.117)/g1^5 + t^8.149/g1^32 + (2*t^8.256)/g1^28 - 5*g1^3*t^8.33 + (4*t^8.362)/g1^24 - 5*g1^7*t^8.436 + (7*t^8.468)/g1^20 - 4*g1^11*t^8.542 + (9*t^8.575)/g1^16 - g1^15*t^8.649 + (12*t^8.681)/g1^12 + (4*t^8.787)/g1^8 + t^8.819/g1^35 + (2*t^8.894)/g1^4 + (3*t^8.926)/g1^31 - t^4.447/(g1^2*y) - t^6.458/(g1^11*y) - t^6.564/(g1^7*y) - (g1*t^6.777)/y + t^7.128/(g1^14*y) + t^7.34/(g1^6*y) + (2*t^7.447)/(g1^2*y) + (3*g1^2*t^7.553)/y + (2*g1^6*t^7.66)/y + (g1^10*t^7.766)/y + t^7.798/(g1^17*y) + (3*t^7.904)/(g1^13*y) + (4*t^8.011)/(g1^9*y) + (5*t^8.117)/(g1^5*y) + (4*t^8.223)/(g1*y) + (4*g1^3*t^8.33)/y + (2*g1^7*t^8.436)/y - t^8.468/(g1^20*y) - t^8.575/(g1^16*y) + t^8.681/(g1^12*y) + (2*t^8.787)/(g1^8*y) + (2*t^8.894)/(g1^4*y) - (t^4.447*y)/g1^2 - (t^6.458*y)/g1^11 - (t^6.564*y)/g1^7 - g1*t^6.777*y + (t^7.128*y)/g1^14 + (t^7.34*y)/g1^6 + (2*t^7.447*y)/g1^2 + 3*g1^2*t^7.553*y + 2*g1^6*t^7.66*y + g1^10*t^7.766*y + (t^7.798*y)/g1^17 + (3*t^7.904*y)/g1^13 + (4*t^8.011*y)/g1^9 + (5*t^8.117*y)/g1^5 + (4*t^8.223*y)/g1 + 4*g1^3*t^8.33*y + 2*g1^7*t^8.436*y - (t^8.468*y)/g1^20 - (t^8.575*y)/g1^16 + (t^8.681*y)/g1^12 + (2*t^8.787*y)/g1^8 + (2*t^8.894*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 |
---|
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 |
---|---|---|---|---|---|---|---|---|---|
4854 | SU2adj1nf2 | ${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}q_{1}\tilde{q}_{1}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}M_{6}$ + ${ }M_{2}^{2}$ + ${ }M_{7}\phi_{1}q_{1}\tilde{q}_{1}$ + ${ }M_{8}\phi_{1}q_{2}\tilde{q}_{1}$ | 0.629 | 0.8165 | 0.7704 | [M:[0.9302, 1.0, 1.1889, 0.7413, 1.2587, 0.8111, 0.7064, 0.7762], q:[0.5698, 0.5], qb:[0.2413, 0.7587], phi:[0.4826]] | t^2.119 + t^2.224 + t^2.329 + t^2.433 + t^2.791 + 2*t^2.895 + t^3. + t^3.776 + t^3.986 + t^4.238 + t^4.343 + 3*t^4.448 + 2*t^4.552 + 3*t^4.657 + t^4.762 + 2*t^4.866 + t^4.91 + 2*t^5.014 + 4*t^5.119 + 3*t^5.224 + 3*t^5.329 + t^5.433 + t^5.581 + 2*t^5.686 + 3*t^5.791 + 2*t^5.895 - 2*t^6. - t^4.448/y - t^4.448*y | detail |