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
2269	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$	0.686	0.8806	0.7791	[M:[0.8225, 0.7474, 1.1775, 0.8601, 0.785, 0.7098, 0.7474], q:[0.8038, 0.8038], qb:[0.3737, 0.4488], phi:[0.3925]]	[M:[[6], [-14], [-6], [16], [-4], [-24], [-14]], q:[[1], [1]], qb:[[-7], [13]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{2}$, ${ }M_{7}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{4}$, ${ }M_{3}$, ${ }q_{1}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{2}M_{5}$, ${ }M_{1}M_{6}$, ${ }M_{5}M_{7}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{5}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{1}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{1}M_{5}$, ${ }M_{4}M_{7}$, ${ }M_{1}\phi_{1}^{2}$, ${ }q_{1}q_{2}$, ${ }M_{1}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }M_{4}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}q_{1}\tilde{q}_{1}$, ${ }M_{2}M_{3}$, ${ }M_{3}M_{7}$, ${ }M_{2}q_{1}\tilde{q}_{1}$, ${ }M_{7}q_{1}\tilde{q}_{1}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{5}q_{1}\tilde{q}_{1}$	${}$	-1	t^2.129 + 2*t^2.242 + 2*t^2.355 + t^2.468 + t^2.58 + 2*t^3.532 + t^4.259 + 2*t^4.372 + 5*t^4.484 + 5*t^4.597 + 6*t^4.71 + 5*t^4.823 + 3*t^4.935 + t^5.048 + t^5.161 + 2*t^5.662 + 3*t^5.775 + 2*t^5.887 - t^6. - t^6.225 + t^6.388 + 2*t^6.501 + 5*t^6.614 + 9*t^6.727 + 12*t^6.839 + 13*t^6.952 + 16*t^7.065 + 8*t^7.177 + 4*t^7.29 + 3*t^7.403 + 2*t^7.516 + t^7.628 + t^7.741 + 2*t^7.791 + 3*t^7.904 + 6*t^8.017 + t^8.129 - 2*t^8.242 - 5*t^8.355 - 7*t^8.468 + t^8.518 - 7*t^8.58 + 2*t^8.631 - 2*t^8.693 + 5*t^8.743 - t^8.806 + 9*t^8.856 + 17*t^8.969 - t^4.177/y - t^6.307/y - (2*t^6.42)/y - (2*t^6.532)/y - t^6.758/y + (2*t^7.372)/y + (3*t^7.484)/y + (6*t^7.597)/y + (4*t^7.71)/y + (6*t^7.823)/y + (4*t^7.935)/y + (2*t^8.048)/y - t^8.436/y - (2*t^8.549)/y - (3*t^8.662)/y - t^4.177*y - t^6.307*y - 2*t^6.42*y - 2*t^6.532*y - t^6.758*y + 2*t^7.372*y + 3*t^7.484*y + 6*t^7.597*y + 4*t^7.71*y + 6*t^7.823*y + 4*t^7.935*y + 2*t^8.048*y - t^8.436*y - 2*t^8.549*y - 3*t^8.662*y	t^2.129/g1^24 + (2*t^2.242)/g1^14 + (2*t^2.355)/g1^4 + g1^6*t^2.468 + g1^16*t^2.58 + (2*t^3.532)/g1^6 + t^4.259/g1^48 + (2*t^4.372)/g1^38 + (5*t^4.484)/g1^28 + (5*t^4.597)/g1^18 + (6*t^4.71)/g1^8 + 5*g1^2*t^4.823 + 3*g1^12*t^4.935 + g1^22*t^5.048 + g1^32*t^5.161 + (2*t^5.662)/g1^30 + (3*t^5.775)/g1^20 + (2*t^5.887)/g1^10 - t^6. - g1^20*t^6.225 + t^6.388/g1^72 + (2*t^6.501)/g1^62 + (5*t^6.614)/g1^52 + (9*t^6.727)/g1^42 + (12*t^6.839)/g1^32 + (13*t^6.952)/g1^22 + (16*t^7.065)/g1^12 + (8*t^7.177)/g1^2 + 4*g1^8*t^7.29 + 3*g1^18*t^7.403 + 2*g1^28*t^7.516 + g1^38*t^7.628 + g1^48*t^7.741 + (2*t^7.791)/g1^54 + (3*t^7.904)/g1^44 + (6*t^8.017)/g1^34 + t^8.129/g1^24 - (2*t^8.242)/g1^14 - (5*t^8.355)/g1^4 - 7*g1^6*t^8.468 + t^8.518/g1^96 - 7*g1^16*t^8.58 + (2*t^8.631)/g1^86 - 2*g1^26*t^8.693 + (5*t^8.743)/g1^76 - g1^36*t^8.806 + (9*t^8.856)/g1^66 + (17*t^8.969)/g1^56 - t^4.177/(g1^2*y) - t^6.307/(g1^26*y) - (2*t^6.42)/(g1^16*y) - (2*t^6.532)/(g1^6*y) - (g1^14*t^6.758)/y + (2*t^7.372)/(g1^38*y) + (3*t^7.484)/(g1^28*y) + (6*t^7.597)/(g1^18*y) + (4*t^7.71)/(g1^8*y) + (6*g1^2*t^7.823)/y + (4*g1^12*t^7.935)/y + (2*g1^22*t^8.048)/y - t^8.436/(g1^50*y) - (2*t^8.549)/(g1^40*y) - (3*t^8.662)/(g1^30*y) - (t^4.177*y)/g1^2 - (t^6.307*y)/g1^26 - (2*t^6.42*y)/g1^16 - (2*t^6.532*y)/g1^6 - g1^14*t^6.758*y + (2*t^7.372*y)/g1^38 + (3*t^7.484*y)/g1^28 + (6*t^7.597*y)/g1^18 + (4*t^7.71*y)/g1^8 + 6*g1^2*t^7.823*y + 4*g1^12*t^7.935*y + 2*g1^22*t^8.048*y - (t^8.436*y)/g1^50 - (2*t^8.549*y)/g1^40 - (3*t^8.662*y)/g1^30

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
4280	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{7}q_{1}\tilde{q}_{2}$ + ${ }M_{6}^{2}$ + ${ }M_{4}X_{1}$	0.6017	0.7528	0.7994	[X:[1.3333], M:[0.75, 0.9167, 1.25, 0.6667, 0.8333, 1.0, 0.9167], q:[0.7917, 0.7917], qb:[0.4583, 0.2917], phi:[0.4167]]	t^2.25 + 2*t^2.5 + 2*t^2.75 + t^3. + 2*t^3.75 + t^4. + t^4.5 + 3*t^4.75 + 5*t^5. + 5*t^5.25 + 4*t^5.5 - t^4.25/y - t^4.25*y	detail	{a: 3697/6144, c: 4625/6144, X1: 4/3, M1: 3/4, M2: 11/12, M3: 5/4, M4: 2/3, M5: 5/6, M6: 1, M7: 11/12, q1: 19/24, q2: 19/24, qb1: 11/24, qb2: 7/24, phi1: 5/12}

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
1219	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }\phi_{1}q_{2}^{2}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{2}^{2}$	0.667	0.8452	0.7893	[M:[0.8186, 0.7565, 1.1814, 0.8497, 0.7876, 0.7254], q:[0.8031, 0.8031], qb:[0.3783, 0.4404], phi:[0.3938]]	t^2.176 + t^2.27 + 2*t^2.363 + t^2.456 + t^2.549 + 2*t^3.544 + t^3.73 + t^4.353 + t^4.446 + 3*t^4.539 + 3*t^4.632 + 5*t^4.725 + 4*t^4.819 + 3*t^4.912 + t^5.005 + t^5.098 + 2*t^5.72 + t^5.814 + 3*t^5.907 - t^4.181/y - t^4.181*y	detail