Landscape

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
1057	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}q_{2}$	0.7165	0.904	0.7926	[M:[0.9701, 1.1244, 0.9701, 0.6866, 0.8756, 0.7811, 0.7811], q:[0.7811, 0.4378], qb:[0.5921, 0.4378], phi:[0.4378]]	[M:[[-7, 1], [4, 0], [-11, -1], [6, 0], [-4, 0], [-1, -1], [3, 1]], q:[[1, 0], [-4, -1]], qb:[[11, 0], [0, 1]], phi:[[-2, 0]]]	2

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{3}^{2}$, ${ }M_{1}^{2}$	${}M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$	-3	t^2.06 + 2*t^2.343 + 2*t^2.627 + 2*t^2.91 + 2*t^3.94 + 2*t^4.12 + 4*t^4.403 + 5*t^4.687 + t^4.866 + 6*t^4.97 + 7*t^5.254 + 2*t^5.537 + 3*t^5.821 - 3*t^6. + 2*t^6.179 + 2*t^6.283 + 4*t^6.463 + 3*t^6.567 + 9*t^6.746 + 2*t^6.85 + t^6.926 + 12*t^7.03 + 2*t^7.209 + 10*t^7.313 + t^7.493 + 12*t^7.597 - 2*t^7.776 + 13*t^7.88 - 5*t^8.06 + 8*t^8.164 + 2*t^8.239 - 8*t^8.343 + 3*t^8.447 + 4*t^8.523 - 5*t^8.627 + 4*t^8.731 + 9*t^8.806 - 4*t^8.91 + 2*t^8.986 - t^4.313/y - t^6.373/y - (2*t^6.657)/y - t^6.94/y - (2*t^7.224)/y + (4*t^7.403)/y + (4*t^7.687)/y + (8*t^7.97)/y + (6*t^8.254)/y - t^8.433/y + (4*t^8.537)/y - (2*t^8.717)/y + t^8.821/y - t^4.313*y - t^6.373*y - 2*t^6.657*y - t^6.94*y - 2*t^7.224*y + 4*t^7.403*y + 4*t^7.687*y + 8*t^7.97*y + 6*t^8.254*y - t^8.433*y + 4*t^8.537*y - 2*t^8.717*y + t^8.821*y	g1^6*t^2.06 + t^2.343/(g1*g2) + g1^3*g2*t^2.343 + (2*t^2.627)/g1^4 + t^2.91/(g1^11*g2) + (g2*t^2.91)/g1^7 + t^3.94/(g1^10*g2^2) + (g2^2*t^3.94)/g1^2 + 2*g1^12*t^4.12 + (2*g1^5*t^4.403)/g2 + 2*g1^9*g2*t^4.403 + 3*g1^2*t^4.687 + t^4.687/(g1^2*g2^2) + g1^6*g2^2*t^4.687 + g1^20*t^4.866 + (3*t^4.97)/(g1^5*g2) + (3*g2*t^4.97)/g1 + (5*t^5.254)/g1^8 + t^5.254/(g1^12*g2^2) + (g2^2*t^5.254)/g1^4 + t^5.537/(g1^15*g2) + (g2*t^5.537)/g1^11 + t^5.821/g1^18 + t^5.821/(g1^22*g2^2) + (g2^2*t^5.821)/g1^14 - 3*t^6. + 2*g1^18*t^6.179 + t^6.283/(g1^11*g2^3) + g1*g2^3*t^6.283 + (2*g1^11*t^6.463)/g2 + 2*g1^15*g2*t^6.463 - t^6.567/g1^10 + (2*t^6.567)/(g1^14*g2^2) + (2*g2^2*t^6.567)/g1^6 + 5*g1^8*t^6.746 + (2*g1^4*t^6.746)/g2^2 + 2*g1^12*g2^2*t^6.746 + t^6.85/(g1^21*g2^3) + (g2^3*t^6.85)/g1^9 + g1^26*t^6.926 + t^7.03/(g1^3*g2^3) + (5*g1*t^7.03)/g2 + 5*g1^5*g2*t^7.03 + g1^9*g2^3*t^7.03 + (g1^19*t^7.209)/g2 + g1^23*g2*t^7.209 + (6*t^7.313)/g1^2 + (2*t^7.313)/(g1^6*g2^2) + 2*g1^2*g2^2*t^7.313 + g1^16*t^7.493 + t^7.597/(g1^13*g2^3) + (5*t^7.597)/(g1^9*g2) + (5*g2*t^7.597)/g1^5 + (g2^3*t^7.597)/g1 - (g1^9*t^7.776)/g2 - g1^13*g2*t^7.776 + (7*t^7.88)/g1^12 + t^7.88/(g1^20*g2^4) + (2*t^7.88)/(g1^16*g2^2) + (2*g2^2*t^7.88)/g1^8 + (g2^4*t^7.88)/g1^4 - 5*g1^6*t^8.06 + t^8.164/(g1^23*g2^3) + (3*t^8.164)/(g1^19*g2) + (3*g2*t^8.164)/g1^15 + (g2^3*t^8.164)/g1^11 + 2*g1^24*t^8.239 + t^8.343/(g1^5*g2^3) - (5*t^8.343)/(g1*g2) - 5*g1^3*g2*t^8.343 + g1^7*g2^3*t^8.343 + t^8.447/g1^22 + t^8.447/(g1^26*g2^2) + (g2^2*t^8.447)/g1^18 + (2*g1^17*t^8.523)/g2 + 2*g1^21*g2*t^8.523 - (7*t^8.627)/g1^4 + t^8.627/(g1^12*g2^4) + g1^4*g2^4*t^8.627 + t^8.731/(g1^33*g2^3) + t^8.731/(g1^29*g2) + (g2*t^8.731)/g1^25 + (g2^3*t^8.731)/g1^21 + 3*g1^14*t^8.806 + (3*g1^10*t^8.806)/g2^2 + 3*g1^18*g2^2*t^8.806 + (2*t^8.91)/(g1^15*g2^3) - (4*t^8.91)/(g1^11*g2) - (4*g2*t^8.91)/g1^7 + (2*g2^3*t^8.91)/g1^3 + 2*g1^32*t^8.986 - t^4.313/(g1^2*y) - (g1^4*t^6.373)/y - t^6.657/(g1^3*g2*y) - (g1*g2*t^6.657)/y - t^6.94/(g1^6*y) - t^7.224/(g1^13*g2*y) - (g2*t^7.224)/(g1^9*y) + (2*g1^5*t^7.403)/(g2*y) + (2*g1^9*g2*t^7.403)/y + (4*g1^2*t^7.687)/y + (4*t^7.97)/(g1^5*g2*y) + (4*g2*t^7.97)/(g1*y) + (4*t^8.254)/(g1^8*y) + t^8.254/(g1^12*g2^2*y) + (g2^2*t^8.254)/(g1^4*y) - (g1^10*t^8.433)/y + (2*t^8.537)/(g1^15*g2*y) + (2*g2*t^8.537)/(g1^11*y) - (g1^3*t^8.717)/(g2*y) - (g1^7*g2*t^8.717)/y + t^8.821/(g1^18*y) - (t^4.313*y)/g1^2 - g1^4*t^6.373*y - (t^6.657*y)/(g1^3*g2) - g1*g2*t^6.657*y - (t^6.94*y)/g1^6 - (t^7.224*y)/(g1^13*g2) - (g2*t^7.224*y)/g1^9 + (2*g1^5*t^7.403*y)/g2 + 2*g1^9*g2*t^7.403*y + 4*g1^2*t^7.687*y + (4*t^7.97*y)/(g1^5*g2) + (4*g2*t^7.97*y)/g1 + (4*t^8.254*y)/g1^8 + (t^8.254*y)/(g1^12*g2^2) + (g2^2*t^8.254*y)/g1^4 - g1^10*t^8.433*y + (2*t^8.537*y)/(g1^15*g2) + (2*g2*t^8.537*y)/g1^11 - (g1^3*t^8.717*y)/g2 - g1^7*g2*t^8.717*y + (t^8.821*y)/g1^18

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
1645	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$	0.7373	0.9448	0.7803	[M:[0.9688, 1.1236, 0.9748, 0.6855, 0.8764, 0.7839, 0.7779, 0.6794], q:[0.7809, 0.4412], qb:[0.59, 0.4351], phi:[0.4382]]	t^2.038 + t^2.056 + t^2.334 + t^2.352 + 2*t^2.629 + t^2.906 + t^2.925 + t^3.925 + t^4.076 + t^4.095 + 2*t^4.113 + t^4.372 + 3*t^4.39 + 2*t^4.408 + 3*t^4.667 + 3*t^4.685 + t^4.704 + t^4.855 + t^4.944 + 4*t^4.963 + 3*t^4.981 + t^5.24 + 5*t^5.258 + t^5.276 + t^5.535 + t^5.554 + t^5.813 + t^5.831 + t^5.849 + t^5.964 - 3*t^6. - t^4.315/y - t^4.315*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

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
662	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.6993	0.8739	0.8002	[M:[0.9803, 1.1254, 0.9554, 0.6881, 0.8746, 0.7689], q:[0.7813, 0.4248], qb:[0.5948, 0.4498], phi:[0.4373]]	t^2.064 + t^2.307 + 2*t^2.624 + t^2.866 + t^2.941 + t^3.619 + t^3.861 + t^4.01 + 2*t^4.129 + 2*t^4.371 + t^4.446 + t^4.613 + 2*t^4.688 + t^4.881 + 3*t^4.93 + t^5.005 + t^5.173 + 4*t^5.248 + t^5.49 + t^5.565 + t^5.683 + t^5.732 + t^5.807 + t^5.882 + t^5.925 - 3*t^6. - t^4.312/y - t^4.312*y	detail