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
3115	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$	0.6721	0.8536	0.7873	[X:[1.5631], M:[0.4369, 1.1877, 0.7816, 0.8737, 0.6894, 0.843, 0.7509], q:[0.7969, 0.7662], qb:[0.4522, 0.3601], phi:[0.4061]]	[X:[[12]], M:[[-12], [4], [6], [-24], [36], [-14], [16]], q:[[1], [11]], qb:[[-17], [13]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{5}$, ${ }M_{7}$, ${ }M_{3}$, ${ }\phi_{1}^{2}$, ${ }M_{6}$, ${ }M_{4}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{5}^{2}$, ${ }M_{5}M_{7}$, ${ }M_{3}M_{5}$, ${ }M_{7}^{2}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{3}M_{7}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{3}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{7}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }X_{1}$, ${ }M_{6}M_{7}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}^{4}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{3}M_{4}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{6}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{4}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{5}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{5}$, ${ }M_{7}q_{2}\tilde{q}_{2}$, ${ }M_{3}q_{2}\tilde{q}_{2}$, ${ }M_{5}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{2}M_{7}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{2}$, ${ }M_{2}M_{3}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }M_{6}q_{2}\tilde{q}_{2}$, ${ }M_{7}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	${}M_{3}\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$	-1	t^2.068 + t^2.253 + t^2.345 + t^2.437 + t^2.529 + t^2.621 + t^3.379 + t^3.563 + t^3.655 + t^4.137 + t^4.321 + t^4.413 + 2*t^4.505 + 3*t^4.597 + 4*t^4.689 + t^4.782 + 4*t^4.874 + 2*t^4.966 + t^5.058 + t^5.15 + t^5.242 + t^5.447 + 2*t^5.631 + t^5.724 + 3*t^5.816 + 2*t^5.908 - t^6. + t^6.092 + t^6.184 + t^6.205 - t^6.276 + t^6.389 + t^6.481 + 2*t^6.574 + 3*t^6.666 + 6*t^6.758 + 3*t^6.85 + 6*t^6.942 + 5*t^7.034 + 5*t^7.126 + 4*t^7.218 + 4*t^7.311 + 3*t^7.403 + 2*t^7.495 + t^7.516 + 2*t^7.587 + t^7.679 + 2*t^7.7 + t^7.771 + t^7.792 + t^7.863 + 4*t^7.884 + 3*t^7.976 + 2*t^8.068 + 2*t^8.16 + 2*t^8.253 + t^8.273 - 2*t^8.345 - t^8.437 + t^8.458 - 2*t^8.529 + t^8.55 - 4*t^8.621 + 2*t^8.642 - t^8.713 + 3*t^8.734 - t^8.805 + 6*t^8.826 - t^8.898 + 3*t^8.918 - t^4.218/y - t^6.287/y - t^6.471/y - t^6.563/y - t^6.747/y - t^6.84/y + t^7.321/y + t^7.413/y + t^7.505/y + (3*t^7.597)/y + (3*t^7.689)/y + (2*t^7.782)/y + (3*t^7.874)/y + (3*t^7.966)/y + t^8.058/y + (2*t^8.15)/y - t^8.355/y + t^8.447/y - t^8.539/y + t^8.631/y + t^8.724/y + t^8.908/y - t^4.218*y - t^6.287*y - t^6.471*y - t^6.563*y - t^6.747*y - t^6.84*y + t^7.321*y + t^7.413*y + t^7.505*y + 3*t^7.597*y + 3*t^7.689*y + 2*t^7.782*y + 3*t^7.874*y + 3*t^7.966*y + t^8.058*y + 2*t^8.15*y - t^8.355*y + t^8.447*y - t^8.539*y + t^8.631*y + t^8.724*y + t^8.908*y	g1^36*t^2.068 + g1^16*t^2.253 + g1^6*t^2.345 + t^2.437/g1^4 + t^2.529/g1^14 + t^2.621/g1^24 + g1^24*t^3.379 + g1^4*t^3.563 + t^3.655/g1^6 + g1^72*t^4.137 + g1^52*t^4.321 + g1^42*t^4.413 + 2*g1^32*t^4.505 + 3*g1^22*t^4.597 + 4*g1^12*t^4.689 + g1^2*t^4.782 + (4*t^4.874)/g1^8 + (2*t^4.966)/g1^18 + t^5.058/g1^28 + t^5.15/g1^38 + t^5.242/g1^48 + g1^60*t^5.447 + 2*g1^40*t^5.631 + g1^30*t^5.724 + 3*g1^20*t^5.816 + 2*g1^10*t^5.908 - t^6. + t^6.092/g1^10 + t^6.184/g1^20 + g1^108*t^6.205 - t^6.276/g1^30 + g1^88*t^6.389 + g1^78*t^6.481 + 2*g1^68*t^6.574 + 3*g1^58*t^6.666 + 6*g1^48*t^6.758 + 3*g1^38*t^6.85 + 6*g1^28*t^6.942 + 5*g1^18*t^7.034 + 5*g1^8*t^7.126 + (4*t^7.218)/g1^2 + (4*t^7.311)/g1^12 + (3*t^7.403)/g1^22 + (2*t^7.495)/g1^32 + g1^96*t^7.516 + (2*t^7.587)/g1^42 + t^7.679/g1^52 + 2*g1^76*t^7.7 + t^7.771/g1^62 + g1^66*t^7.792 + t^7.863/g1^72 + 4*g1^56*t^7.884 + 3*g1^46*t^7.976 + 2*g1^36*t^8.068 + 2*g1^26*t^8.16 + 2*g1^16*t^8.253 + g1^144*t^8.273 - 2*g1^6*t^8.345 - t^8.437/g1^4 + g1^124*t^8.458 - (2*t^8.529)/g1^14 + g1^114*t^8.55 - (4*t^8.621)/g1^24 + 2*g1^104*t^8.642 - t^8.713/g1^34 + 3*g1^94*t^8.734 - t^8.805/g1^44 + 6*g1^84*t^8.826 - t^8.898/g1^54 + 3*g1^74*t^8.918 - t^4.218/(g1^2*y) - (g1^34*t^6.287)/y - (g1^14*t^6.471)/y - (g1^4*t^6.563)/y - t^6.747/(g1^16*y) - t^6.84/(g1^26*y) + (g1^52*t^7.321)/y + (g1^42*t^7.413)/y + (g1^32*t^7.505)/y + (3*g1^22*t^7.597)/y + (3*g1^12*t^7.689)/y + (2*g1^2*t^7.782)/y + (3*t^7.874)/(g1^8*y) + (3*t^7.966)/(g1^18*y) + t^8.058/(g1^28*y) + (2*t^8.15)/(g1^38*y) - (g1^70*t^8.355)/y + (g1^60*t^8.447)/y - (g1^50*t^8.539)/y + (g1^40*t^8.631)/y + (g1^30*t^8.724)/y + (g1^10*t^8.908)/y - (t^4.218*y)/g1^2 - g1^34*t^6.287*y - g1^14*t^6.471*y - g1^4*t^6.563*y - (t^6.747*y)/g1^16 - (t^6.84*y)/g1^26 + g1^52*t^7.321*y + g1^42*t^7.413*y + g1^32*t^7.505*y + 3*g1^22*t^7.597*y + 3*g1^12*t^7.689*y + 2*g1^2*t^7.782*y + (3*t^7.874*y)/g1^8 + (3*t^7.966*y)/g1^18 + (t^8.058*y)/g1^28 + (2*t^8.15*y)/g1^38 - g1^70*t^8.355*y + g1^60*t^8.447*y - g1^50*t^8.539*y + g1^40*t^8.631*y + g1^30*t^8.724*y + g1^10*t^8.908*y

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
4986	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{3}M_{8}$	0.6545	0.8221	0.7962	[X:[1.5651], M:[0.4349, 1.1884, 0.7826, 0.8698, 0.6953, 0.8407, 0.7535, 1.2174], q:[0.7971, 0.768], qb:[0.4494, 0.3622], phi:[0.4058]]	t^2.086 + t^2.26 + t^2.435 + t^2.522 + t^2.609 + t^3.391 + t^3.565 + 2*t^3.652 + t^4.172 + t^4.346 + 2*t^4.521 + 2*t^4.608 + 3*t^4.695 + 3*t^4.87 + t^4.957 + t^5.044 + t^5.131 + t^5.219 + t^5.477 + 2*t^5.651 + t^5.738 + 3*t^5.826 + 2*t^5.913 - 2*t^6. - t^4.217/y - t^4.217*y	detail
4982	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}\tilde{q}_{1}$ + ${ }M_{5}M_{7}$ + ${ }M_{4}X_{2}$	0.5486	0.6832	0.803	[X:[1.6923, 1.3846], M:[0.3077, 1.2308, 0.8462, 0.6154, 1.0769, 0.6923, 0.9231], q:[0.8077, 0.8846], qb:[0.2692, 0.5], phi:[0.3846]]	t^2.077 + t^2.308 + t^2.538 + t^2.769 + t^3.231 + t^3.462 + t^3.692 + 2*t^4.154 + t^4.385 + 3*t^4.615 + t^4.846 + 3*t^5.077 + t^5.308 + 2*t^5.538 + 2*t^5.769 - t^6. - t^4.154/y - t^4.154*y	detail	{a: 4821/8788, c: 1501/2197, X1: 22/13, X2: 18/13, M1: 4/13, M2: 16/13, M3: 11/13, M4: 8/13, M5: 14/13, M6: 9/13, M7: 12/13, q1: 21/26, q2: 23/26, qb1: 7/26, qb2: 1/2, phi1: 5/13}

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
2042	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }\phi_{1}q_{1}^{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }M_{4}\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}X_{1}$ + ${ }M_{5}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.6532	0.8187	0.7978	[X:[1.5674], M:[0.4326, 1.1891, 0.7837, 0.8652, 0.7022, 0.838], q:[0.7973, 0.7701], qb:[0.4462, 0.3647], phi:[0.4054]]	t^2.107 + t^2.351 + t^2.433 + t^2.514 + t^2.596 + t^3.404 + t^3.567 + t^3.649 + t^3.73 + t^4.213 + t^4.458 + t^4.539 + 2*t^4.621 + 3*t^4.702 + 3*t^4.865 + 2*t^4.947 + t^5.028 + t^5.11 + t^5.191 + t^5.511 + t^5.674 + t^5.756 + 3*t^5.837 + t^5.919 - t^6. - t^4.216/y - t^4.216*y	detail