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
46430	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{3}^{2}$	0.5734	0.7245	0.7915	[M:[0.9173, 1.0827, 1.0, 0.6692], q:[0.626, 0.4567], qb:[0.2913, 0.9567], phi:[0.4173]]	[M:[[-2], [2], [0], [-8]], q:[[-3], [5]], qb:[[1], [5]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }q_{2}\tilde{q}_{1}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }q_{2}\tilde{q}_{2}$, ${ }M_{4}q_{2}\tilde{q}_{1}$, ${ }q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}^{2}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{1}M_{4}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}M_{4}$, ${ }\phi_{1}^{4}$, ${ }M_{3}q_{2}\tilde{q}_{1}$, ${ }M_{2}M_{4}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{2}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{2}^{2}\tilde{q}_{1}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{2}\phi_{1}^{2}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }q_{2}\tilde{q}_{1}^{2}\tilde{q}_{2}$	${}\phi_{1}^{3}q_{2}\tilde{q}_{1}$	0	t^2.008 + t^2.244 + t^2.504 + t^2.752 + t^3. + t^3.248 + t^3.496 + t^3.744 + t^4.015 + t^4.24 + t^4.252 + t^4.489 + t^4.511 + 2*t^4.748 + t^4.76 + t^4.996 + 2*t^5.008 + t^5.244 + t^5.256 + t^5.492 + 2*t^5.504 + t^5.74 + 2*t^5.752 + t^5.989 + t^6.023 + 2*t^6.248 + t^6.26 + t^6.485 + 2*t^6.496 - t^6.508 + t^6.519 + t^6.733 + t^6.744 + t^6.756 + t^6.767 + 2*t^6.992 + 2*t^7.015 + 2*t^7.24 + t^7.252 + t^7.263 + 2*t^7.489 + 3*t^7.511 + t^7.737 + t^7.748 + 2*t^7.76 + 2*t^7.985 + t^7.996 + t^8.03 + t^8.233 - t^8.244 + 2*t^8.256 + t^8.267 + t^8.481 + 2*t^8.492 + t^8.504 - t^8.515 + t^8.527 + t^8.729 + t^8.74 - t^8.752 + t^8.763 + t^8.775 + t^8.977 + t^8.989 - t^4.252/y - t^6.26/y - t^6.756/y + t^7.252/y + t^7.511/y + (2*t^7.748)/y + t^7.76/y + t^7.996/y + t^8.008/y + (2*t^8.244)/y + (2*t^8.256)/y - t^8.267/y + t^8.492/y + (2*t^8.504)/y + t^8.74/y + (3*t^8.752)/y - t^8.763/y + t^8.989/y - t^4.252*y - t^6.26*y - t^6.756*y + t^7.252*y + t^7.511*y + 2*t^7.748*y + t^7.76*y + t^7.996*y + t^8.008*y + 2*t^8.244*y + 2*t^8.256*y - t^8.267*y + t^8.492*y + 2*t^8.504*y + t^8.74*y + 3*t^8.752*y - t^8.763*y + t^8.989*y	t^2.008/g1^8 + g1^6*t^2.244 + t^2.504/g1^4 + t^2.752/g1^2 + t^3. + g1^2*t^3.248 + g1^4*t^3.496 + g1^6*t^3.744 + t^4.015/g1^16 + g1^10*t^4.24 + t^4.252/g1^2 + g1^12*t^4.489 + t^4.511/g1^12 + 2*g1^2*t^4.748 + t^4.76/g1^10 + g1^4*t^4.996 + (2*t^5.008)/g1^8 + g1^6*t^5.244 + t^5.256/g1^6 + g1^8*t^5.492 + (2*t^5.504)/g1^4 + g1^10*t^5.74 + (2*t^5.752)/g1^2 + g1^12*t^5.989 + t^6.023/g1^24 + 2*g1^2*t^6.248 + t^6.26/g1^10 + g1^16*t^6.485 + 2*g1^4*t^6.496 - t^6.508/g1^8 + t^6.519/g1^20 + g1^18*t^6.733 + g1^6*t^6.744 + t^6.756/g1^6 + t^6.767/g1^18 + 2*g1^8*t^6.992 + (2*t^7.015)/g1^16 + 2*g1^10*t^7.24 + t^7.252/g1^2 + t^7.263/g1^14 + 2*g1^12*t^7.489 + (3*t^7.511)/g1^12 + g1^14*t^7.737 + g1^2*t^7.748 + (2*t^7.76)/g1^10 + 2*g1^16*t^7.985 + g1^4*t^7.996 + t^8.03/g1^32 + g1^18*t^8.233 - g1^6*t^8.244 + (2*t^8.256)/g1^6 + t^8.267/g1^18 + g1^20*t^8.481 + 2*g1^8*t^8.492 + t^8.504/g1^4 - t^8.515/g1^16 + t^8.527/g1^28 + g1^22*t^8.729 + g1^10*t^8.74 - t^8.752/g1^2 + t^8.763/g1^14 + t^8.775/g1^26 + g1^24*t^8.977 + g1^12*t^8.989 - t^4.252/(g1^2*y) - t^6.26/(g1^10*y) - t^6.756/(g1^6*y) + t^7.252/(g1^2*y) + t^7.511/(g1^12*y) + (2*g1^2*t^7.748)/y + t^7.76/(g1^10*y) + (g1^4*t^7.996)/y + t^8.008/(g1^8*y) + (2*g1^6*t^8.244)/y + (2*t^8.256)/(g1^6*y) - t^8.267/(g1^18*y) + (g1^8*t^8.492)/y + (2*t^8.504)/(g1^4*y) + (g1^10*t^8.74)/y + (3*t^8.752)/(g1^2*y) - t^8.763/(g1^14*y) + (g1^12*t^8.989)/y - (t^4.252*y)/g1^2 - (t^6.26*y)/g1^10 - (t^6.756*y)/g1^6 + (t^7.252*y)/g1^2 + (t^7.511*y)/g1^12 + 2*g1^2*t^7.748*y + (t^7.76*y)/g1^10 + g1^4*t^7.996*y + (t^8.008*y)/g1^8 + 2*g1^6*t^8.244*y + (2*t^8.256*y)/g1^6 - (t^8.267*y)/g1^18 + g1^8*t^8.492*y + (2*t^8.504*y)/g1^4 + g1^10*t^8.74*y + (3*t^8.752*y)/g1^2 - (t^8.763*y)/g1^14 + g1^12*t^8.989*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
48130	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{3}^{2}$ + ${ }M_{5}\phi_{1}^{2}$	0.5596	0.7013	0.7979	[M:[0.9226, 1.0774, 1.0, 0.6905, 1.1548], q:[0.6339, 0.4434], qb:[0.2887, 0.9434], phi:[0.4226]]	t^2.071 + t^2.196 + t^2.768 + t^3. + t^3.232 + 2*t^3.464 + t^3.696 + t^4.143 + t^4.161 + t^4.268 + t^4.393 + t^4.732 + t^4.839 + t^4.964 + t^5.071 + t^5.196 + t^5.429 + 2*t^5.536 + 2*t^5.661 + t^5.768 + t^5.893 - t^6. - t^4.268/y - t^4.268*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
46335	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }\phi_{1}q_{1}\tilde{q}_{2}$ + ${ }M_{1}M_{2}$ + ${ }M_{3}\phi_{1}\tilde{q}_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$	0.6052	0.7542	0.8024	[M:[1.0, 1.0, 0.7685, 0.7685], q:[0.5764, 0.4236], qb:[0.4236, 1.0393], phi:[0.3843]]	3*t^2.306 + t^2.542 + 2*t^3. + t^3.694 + 2*t^4.389 + 6*t^4.611 + 4*t^4.847 + t^5.083 + 4*t^5.306 + 2*t^5.542 + t^6. - t^4.153/y - t^4.153*y	detail