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Select a theory SU(2): 4 fund + 4 anti-fund (not completed) SU(2): 1 Adj + 1 fund + 1 anti-fund SU(2): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(2): 1 Adj + 3 fund + 3 anti-fund (not completed) SU(2): 2 Adj SU(2): 2 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 1 fund + 1 anti-fund SU(3): 1 Adj + 2 fund + 2 anti-fund (not completed) SU(5): 2 rank-2 symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm + 1 fund + 1 anti-fund SU(5): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 8 anti-fund (not completed) SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm SU(5): 1 Adj + 1 rank-2 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + (conj.) (not completed) SU(5): 1 rank-2 symm + 2 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + (conj.) (not completed) SU(5): 3 rank-2 anti-symm + 1 fund + (conj.) (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm (not completed) SU(5): 2 Adj + 1 anti-symm + 1 conj. of rank-2 anti-symm + 1 fund + 1 anti-fund (not completed) SU(6): 2 rank-2 symm + (conj.) SU(6): 2 rank-2 symm + 1 fund + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + (conj.) SU(6): 1 rank-2 symm + 1 rank-2 anti-symm + 2 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 symm SU(6): 1 Adj + 1 rank-2 symm + 1 conj. of rank-2 anti-symm + 1 fund + 9 anti-fund (not completed) SU(7): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 8 fund (not completed) SU(7): 2 rank-2 symm + 1 fund + (conj.) (not completed) SU(8): 1 rank-2 symm + 2 conj. of rank-2 symm + 1 anti-symm + 9 fund + 1 anti-fund (not completed) SU(9): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 16 anti-fund (not completed) SU(9): 2 rank-2 symm + (conj.) (not completed) SU(9): 2 rank-2 symm + 1 fund (conj.) (not completed) SU(10): 2 rank-2 symm + 2 conj. of rank-2 anti-symm + 1 fund + 17 anti-fund (not completed) SO(5): 5 vector (not completed) SO(5): 1 Adj + 1 vector SO(5): 1 Adj + 2 vector SO(5): 1 rank-2 symm SO(5): 1 rank-2 symm + 1 vector SO(5): 1 rank-2 symm + 2 vector Sp(2): 1 Adj + 2 fund Sp(2): 1 14 + 2 fund Sp(2): 2 Adj Sp(2): 1 Adj + 2 rank-2 anti-symm + 8 fund (not completed) G2: 1 Adj + 1 fund E[USp(6)] (not completed) All theories Data used in arXiv:2408.02953

$a$ =

$c$ =

$\leq a \leq$

$\leq c \leq$

id =

Check if you want only theories with rational charges.

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

#	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
1319	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$	0.7342	0.9146	0.8027	[M:[0.8619, 1.069, 1.0, 1.0246, 0.8374, 0.9754, 0.6726], q:[0.5445, 0.5936], qb:[0.431, 0.569], phi:[0.4655]]	[M:[[0, -4], [0, 2], [0, 0], [1, -2], [-1, -2], [-1, 2], [0, 5]], q:[[-1, 4], [1, 0]], qb:[[0, -2], [0, 2]], phi:[[0, -1]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{7}$, ${ }M_{5}$, ${ }M_{1}$, ${ }M_{6}$, ${ }M_{3}$, ${ }M_{4}$, ${ }M_{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{5}M_{7}$, ${ }M_{1}M_{7}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{1}M_{5}$, ${ }M_{1}^{2}$, ${ }M_{2}M_{7}$, ${ }M_{7}q_{1}\tilde{q}_{2}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{1}M_{3}$, ${ }M_{4}M_{5}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{2}$, ${ }M_{6}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{2}$	${}$	-2	t^2.018 + t^2.512 + t^2.586 + t^2.926 + t^3. + t^3.074 + t^3.207 + t^3.341 + t^4.036 + t^4.323 + t^4.396 + t^4.47 + t^4.53 + t^4.604 + t^4.663 + t^4.737 + 2*t^4.811 + t^4.884 + t^4.944 + t^4.958 + t^5.018 + t^5.024 + t^5.092 + t^5.098 + t^5.171 + t^5.225 + t^5.358 + t^5.438 + t^5.512 + t^5.586 + t^5.719 + t^5.793 + t^5.853 - 2*t^6. + t^6.054 - t^6.074 + t^6.133 + t^6.207 + t^6.267 + t^6.281 + t^6.341 + t^6.414 + 2*t^6.548 + t^6.621 + 2*t^6.681 + t^6.755 + 2*t^6.829 + t^6.835 + t^6.902 + t^6.908 + t^6.962 + t^6.976 + t^6.982 + t^7.036 + t^7.042 + t^7.109 + t^7.116 + t^7.175 + t^7.243 + 2*t^7.249 + 2*t^7.323 + t^7.376 + 2*t^7.396 + t^7.456 + t^7.47 + t^7.53 + t^7.536 + t^7.544 + t^7.59 + t^7.604 + t^7.61 + 2*t^7.663 + t^7.684 + 3*t^7.737 + t^7.757 + 2*t^7.811 + t^7.871 + t^7.884 + t^7.95 + t^7.958 + t^8.004 - 2*t^8.018 + t^8.024 + t^8.032 + t^8.071 + t^8.078 - t^8.092 + t^8.098 + 2*t^8.151 + t^8.225 + t^8.231 + t^8.285 + t^8.299 + t^8.305 + t^8.358 + t^8.365 + t^8.379 + t^8.432 - 3*t^8.512 + 2*t^8.566 - 4*t^8.586 + t^8.639 + t^8.646 - 2*t^8.659 + 2*t^8.699 + t^8.719 + t^8.773 + t^8.779 + t^8.793 + 2*t^8.846 + t^8.92 - 3*t^8.926 + t^8.98 + t^8.986 + t^8.994 - t^4.396/y - t^6.414/y - t^6.908/y - t^6.982/y + t^7.53/y + t^7.604/y + t^7.811/y + t^7.884/y + t^7.944/y + t^8.018/y + t^8.092/y + t^8.098/y + t^8.225/y + t^8.358/y + t^8.379/y - t^8.432/y + t^8.438/y + (2*t^8.512)/y + (2*t^8.586)/y + t^8.659/y + t^8.719/y + t^8.793/y + t^8.853/y + t^8.926/y - t^4.396*y - t^6.414*y - t^6.908*y - t^6.982*y + t^7.53*y + t^7.604*y + t^7.811*y + t^7.884*y + t^7.944*y + t^8.018*y + t^8.092*y + t^8.098*y + t^8.225*y + t^8.358*y + t^8.379*y - t^8.432*y + t^8.438*y + 2*t^8.512*y + 2*t^8.586*y + t^8.659*y + t^8.719*y + t^8.793*y + t^8.853*y + t^8.926*y	g2^5*t^2.018 + t^2.512/(g1*g2^2) + t^2.586/g2^4 + (g2^2*t^2.926)/g1 + t^3. + (g1*t^3.074)/g2^2 + g2^2*t^3.207 + (g2^6*t^3.341)/g1 + g2^10*t^4.036 + (g2*t^4.323)/g1 + t^4.396/g2 + (g1*t^4.47)/g2^3 + (g2^3*t^4.53)/g1 + g2*t^4.604 + (g2^7*t^4.663)/g1^2 + (g2^5*t^4.737)/g1 + 2*g2^3*t^4.811 + g1*g2*t^4.884 + (g2^7*t^4.944)/g1 + (g1^2*t^4.958)/g2 + g2^5*t^5.018 + t^5.024/(g1^2*g2^4) + g1*g2^3*t^5.092 + t^5.098/(g1*g2^6) + t^5.171/g2^8 + g2^7*t^5.225 + (g2^11*t^5.358)/g1 + t^5.438/g1^2 + t^5.512/(g1*g2^2) + t^5.586/g2^4 + t^5.719/g1 + t^5.793/g2^2 + (g2^4*t^5.853)/g1^2 - 2*t^6. + g2^15*t^6.054 - (g1*t^6.074)/g2^2 + (g2^4*t^6.133)/g1 + g2^2*t^6.207 + (g2^8*t^6.267)/g1^2 + g1*t^6.281 + (g2^6*t^6.341)/g1 + g2^4*t^6.414 + (2*g2^8*t^6.548)/g1 + g2^6*t^6.621 + (2*g2^12*t^6.681)/g1^2 + (g2^10*t^6.755)/g1 + 2*g2^8*t^6.829 + t^6.835/(g1^2*g2) + g1*g2^6*t^6.902 + t^6.908/(g1*g2^3) + (g2^12*t^6.962)/g1 + g1^2*g2^4*t^6.976 + t^6.982/g2^5 + g2^10*t^7.036 + (g2*t^7.042)/g1^2 + g1*g2^8*t^7.109 + t^7.116/(g1*g2) + (g2^5*t^7.175)/g1^3 + g2^12*t^7.243 + (2*g2^3*t^7.249)/g1^2 + (2*g2*t^7.323)/g1 + (g2^16*t^7.376)/g1 + (2*t^7.396)/g2 + (g2^5*t^7.456)/g1^2 + (g1*t^7.47)/g2^3 + (g2^3*t^7.53)/g1 + t^7.536/(g1^3*g2^6) + (g1^2*t^7.544)/g2^5 + (g2^9*t^7.59)/g1^3 + g2*t^7.604 + t^7.61/(g1^2*g2^8) + (2*g2^7*t^7.663)/g1^2 + t^7.684/(g1*g2^10) + (3*g2^5*t^7.737)/g1 + t^7.757/g2^12 + 2*g2^3*t^7.811 + (g2^9*t^7.871)/g1^2 + g1*g2*t^7.884 + t^7.95/(g1^3*g2^2) + (g1^2*t^7.958)/g2 + (g2^13*t^8.004)/g1^3 - 2*g2^5*t^8.018 + t^8.024/(g1^2*g2^4) + (g1^3*t^8.032)/g2^3 + g2^20*t^8.071 + (g2^11*t^8.078)/g1^2 - g1*g2^3*t^8.092 + t^8.098/(g1*g2^6) + (2*g2^9*t^8.151)/g1 + g2^7*t^8.225 + t^8.231/(g1^2*g2^2) + (g2^13*t^8.285)/g1^2 + g1*g2^5*t^8.299 + t^8.305/(g1*g2^4) + (g2^11*t^8.358)/g1 + (g2^2*t^8.365)/g1^3 + t^8.379/g2^6 + g2^9*t^8.432 - (3*t^8.512)/(g1*g2^2) + (2*g2^13*t^8.566)/g1 - (4*t^8.586)/g2^4 + g2^11*t^8.639 + (g2^2*t^8.646)/g1^2 - (2*g1*t^8.659)/g2^6 + (2*g2^17*t^8.699)/g1^2 + t^8.719/g1 + (g2^15*t^8.773)/g1 + (g2^6*t^8.779)/g1^3 + t^8.793/g2^2 + 2*g2^13*t^8.846 + g1*g2^11*t^8.92 - (3*g2^2*t^8.926)/g1 + (g2^17*t^8.98)/g1 + (g2^8*t^8.986)/g1^3 + g1^2*g2^9*t^8.994 - t^4.396/(g2*y) - (g2^4*t^6.414)/y - t^6.908/(g1*g2^3*y) - t^6.982/(g2^5*y) + (g2^3*t^7.53)/(g1*y) + (g2*t^7.604)/y + (g2^3*t^7.811)/y + (g1*g2*t^7.884)/y + (g2^7*t^7.944)/(g1*y) + (g2^5*t^8.018)/y + (g1*g2^3*t^8.092)/y + t^8.098/(g1*g2^6*y) + (g2^7*t^8.225)/y + (g2^11*t^8.358)/(g1*y) + t^8.379/(g2^6*y) - (g2^9*t^8.432)/y + t^8.438/(g1^2*y) + (2*t^8.512)/(g1*g2^2*y) + (2*t^8.586)/(g2^4*y) + (g1*t^8.659)/(g2^6*y) + t^8.719/(g1*y) + t^8.793/(g2^2*y) + (g2^4*t^8.853)/(g1^2*y) + (g2^2*t^8.926)/(g1*y) - (t^4.396*y)/g2 - g2^4*t^6.414*y - (t^6.908*y)/(g1*g2^3) - (t^6.982*y)/g2^5 + (g2^3*t^7.53*y)/g1 + g2*t^7.604*y + g2^3*t^7.811*y + g1*g2*t^7.884*y + (g2^7*t^7.944*y)/g1 + g2^5*t^8.018*y + g1*g2^3*t^8.092*y + (t^8.098*y)/(g1*g2^6) + g2^7*t^8.225*y + (g2^11*t^8.358*y)/g1 + (t^8.379*y)/g2^6 - g2^9*t^8.432*y + (t^8.438*y)/g1^2 + (2*t^8.512*y)/(g1*g2^2) + (2*t^8.586*y)/g2^4 + (g1*t^8.659*y)/g2^6 + (t^8.719*y)/g1 + (t^8.793*y)/g2^2 + (g2^4*t^8.853*y)/g1^2 + (g2^2*t^8.926*y)/g1

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

#	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
2370	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}M_{8}$	0.7333	0.912	0.804	[M:[0.8598, 1.0701, 1.0, 0.9947, 0.8651, 1.0053, 0.6753, 0.9947], q:[0.5754, 0.5648], qb:[0.4299, 0.5701], phi:[0.4649]]	t^2.026 + t^2.579 + t^2.595 + 2*t^2.984 + t^3. + t^3.21 + t^3.437 + t^4.052 + t^4.379 + t^4.395 + t^4.411 + t^4.605 + t^4.621 + t^4.784 + t^4.8 + 2*t^4.816 + t^4.831 + t^4.847 + 2*t^5.01 + t^5.026 + t^5.159 + t^5.175 + t^5.19 + t^5.236 + t^5.462 + t^5.563 + 2*t^5.579 + t^5.79 + t^5.806 + 2*t^5.968 - 3*t^6. - t^4.395/y - t^4.395*y	detail
2371	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{5}X_{1}$	0.5865	0.7334	0.7996	[X:[1.5811], M:[0.6757, 1.1622, 1.0, 1.2568, 0.4189, 0.7432, 0.9054], q:[0.4054, 0.9189], qb:[0.3378, 0.6622], phi:[0.4189]]	t^2.027 + t^2.23 + t^2.716 + t^3. + t^3.203 + 2*t^3.486 + t^3.689 + t^3.77 + t^4.054 + t^4.257 + t^4.459 + 2*t^4.743 + t^4.946 + t^5.027 + 2*t^5.23 + 2*t^5.432 + t^5.514 + 3*t^5.716 + 2*t^5.919 - t^6. - t^4.257/y - t^4.257*y	detail
2372	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}^{2}$ + ${ }M_{7}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}X_{1}$	0.6699	0.8329	0.8044	[X:[1.3728], M:[0.8036, 1.0982, 1.0, 1.1763, 0.6272, 0.8237, 0.7455], q:[0.4219, 0.7746], qb:[0.4018, 0.5982], phi:[0.4509]]	t^2.237 + t^2.411 + t^2.471 + t^3. + t^3.06 + t^3.295 + t^3.529 + t^3.824 + t^3.884 + t^4.118 + t^4.353 + t^4.413 + t^4.473 + t^4.647 + t^4.708 + t^4.821 + t^4.882 + 2*t^4.942 + t^5.237 + t^5.297 + t^5.471 + 2*t^5.531 + t^5.705 + 2*t^5.766 - t^6. - t^4.353/y - t^4.353*y	detail

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

#	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
No data available in table

Equivalent Fixed Points from the Same Seed Theory

Below is a list of equivalent fixed points from the same seed theories.

Search in the table:

7102550All entries per page

id	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	More Info.	Rational

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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

#	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
833	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{1}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{6}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{6}$ + ${ }M_{3}^{2}$	0.7134	0.8733	0.8168	[M:[0.86, 1.07, 1.0, 1.0244, 0.8356, 0.9756], q:[0.5455, 0.5944], qb:[0.43, 0.57], phi:[0.465]]	t^2.507 + t^2.58 + t^2.927 + t^3. + t^3.073 + t^3.21 + t^3.347 + t^3.975 + t^4.322 + t^4.395 + t^4.468 + t^4.668 + t^4.742 + 2*t^4.815 + t^4.888 + t^4.962 + t^5.014 + t^5.087 + t^5.16 + t^5.433 + t^5.507 + t^5.58 + t^5.717 + t^5.79 + t^5.853 - 2*t^6. - t^4.395/y - t^4.395*y	detail