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
1628	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}q_{2}$	0.7157	0.9032	0.7924	[M:[1.0, 1.1161, 0.9775, 0.6742, 0.8839, 0.7678, 0.7903], q:[0.779, 0.4307], qb:[0.5693, 0.4532], phi:[0.4419]]	[M:[[0], [4], [-18], [6], [-4], [-8], [10]], q:[[1], [-11]], qb:[[11], [7]], phi:[[-2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{6}$, ${ }M_{7}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{1}$, ${ }\phi_{1}q_{2}^{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{4}M_{6}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{6}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{6}M_{7}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{5}M_{7}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{5}^{2}$, ${ }M_{1}M_{6}$, ${ }M_{3}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }\phi_{1}^{4}$, ${ }M_{1}M_{7}$, ${ }M_{3}M_{5}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{1}\phi_{1}^{2}$, ${ }M_{3}^{2}$, ${ }M_{1}M_{3}$, ${ }M_{4}\phi_{1}q_{2}^{2}$	${}$	-2	t^2.023 + t^2.303 + t^2.371 + 2*t^2.652 + t^2.932 + t^3. + t^3.91 + 3*t^4.045 + 2*t^4.326 + 2*t^4.393 + t^4.607 + 3*t^4.674 + 2*t^4.742 + 3*t^4.955 + 3*t^5.023 + t^5.236 + 5*t^5.303 + t^5.371 + t^5.584 + t^5.652 + t^5.865 + t^5.932 - 2*t^6. + 2*t^6.068 + t^6.213 + 2*t^6.348 + 3*t^6.416 + 2*t^6.561 + t^6.629 + 7*t^6.697 + 3*t^6.764 + t^6.842 + t^6.91 + 5*t^6.977 + 7*t^7.045 + 2*t^7.113 + 2*t^7.258 + 6*t^7.326 + 3*t^7.393 + t^7.539 + 5*t^7.607 + 4*t^7.674 + t^7.82 + 2*t^7.887 + 7*t^7.955 - 3*t^8.023 + 3*t^8.09 + t^8.168 + 4*t^8.236 - 2*t^8.303 - 2*t^8.371 + 3*t^8.439 + 2*t^8.516 + t^8.584 - 3*t^8.652 + 3*t^8.719 + 6*t^8.787 + t^8.797 + 3*t^8.865 - t^8.932 - t^4.326/y - t^6.348/y - t^6.629/y - t^6.697/y - t^6.977/y - t^7.258/y + t^7.326/y + (2*t^7.393)/y + (4*t^7.674)/y + (4*t^7.955)/y + (4*t^8.023)/y + t^8.236/y + (4*t^8.303)/y + (2*t^8.584)/y + t^8.652/y - t^8.719/y + t^8.932/y - t^4.326*y - t^6.348*y - t^6.629*y - t^6.697*y - t^6.977*y - t^7.258*y + t^7.326*y + 2*t^7.393*y + 4*t^7.674*y + 4*t^7.955*y + 4*t^8.023*y + t^8.236*y + 4*t^8.303*y + 2*t^8.584*y + t^8.652*y - t^8.719*y + t^8.932*y	g1^6*t^2.023 + t^2.303/g1^8 + g1^10*t^2.371 + (2*t^2.652)/g1^4 + t^2.932/g1^18 + t^3. + t^3.91/g1^24 + 3*g1^12*t^4.045 + (2*t^4.326)/g1^2 + 2*g1^16*t^4.393 + t^4.607/g1^16 + 3*g1^2*t^4.674 + 2*g1^20*t^4.742 + (3*t^4.955)/g1^12 + 3*g1^6*t^5.023 + t^5.236/g1^26 + (5*t^5.303)/g1^8 + g1^10*t^5.371 + t^5.584/g1^22 + t^5.652/g1^4 + t^5.865/g1^36 + t^5.932/g1^18 - 2*t^6. + 2*g1^18*t^6.068 + t^6.213/g1^32 + 2*g1^4*t^6.348 + 3*g1^22*t^6.416 + (2*t^6.561)/g1^28 + t^6.629/g1^10 + 7*g1^8*t^6.697 + 3*g1^26*t^6.764 + t^6.842/g1^42 + t^6.91/g1^24 + (5*t^6.977)/g1^6 + 7*g1^12*t^7.045 + 2*g1^30*t^7.113 + (2*t^7.258)/g1^20 + (6*t^7.326)/g1^2 + 3*g1^16*t^7.393 + t^7.539/g1^34 + (5*t^7.607)/g1^16 + 4*g1^2*t^7.674 + t^7.82/g1^48 + (2*t^7.887)/g1^30 + (7*t^7.955)/g1^12 - 3*g1^6*t^8.023 + 3*g1^24*t^8.09 + t^8.168/g1^44 + (4*t^8.236)/g1^26 - (2*t^8.303)/g1^8 - 2*g1^10*t^8.371 + 3*g1^28*t^8.439 + (2*t^8.516)/g1^40 + t^8.584/g1^22 - (3*t^8.652)/g1^4 + 3*g1^14*t^8.719 + 6*g1^32*t^8.787 + t^8.797/g1^54 + (3*t^8.865)/g1^36 - t^8.932/g1^18 - t^4.326/(g1^2*y) - (g1^4*t^6.348)/y - t^6.629/(g1^10*y) - (g1^8*t^6.697)/y - t^6.977/(g1^6*y) - t^7.258/(g1^20*y) + t^7.326/(g1^2*y) + (2*g1^16*t^7.393)/y + (4*g1^2*t^7.674)/y + (4*t^7.955)/(g1^12*y) + (4*g1^6*t^8.023)/y + t^8.236/(g1^26*y) + (4*t^8.303)/(g1^8*y) + (2*t^8.584)/(g1^22*y) + t^8.652/(g1^4*y) - (g1^14*t^8.719)/y + t^8.932/(g1^18*y) - (t^4.326*y)/g1^2 - g1^4*t^6.348*y - (t^6.629*y)/g1^10 - g1^8*t^6.697*y - (t^6.977*y)/g1^6 - (t^7.258*y)/g1^20 + (t^7.326*y)/g1^2 + 2*g1^16*t^7.393*y + 4*g1^2*t^7.674*y + (4*t^7.955*y)/g1^12 + 4*g1^6*t^8.023*y + (t^8.236*y)/g1^26 + (4*t^8.303*y)/g1^8 + (2*t^8.584*y)/g1^22 + (t^8.652*y)/g1^4 - g1^14*t^8.719*y + (t^8.932*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
4021	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$ + ${ }M_{7}q_{1}q_{2}$ + ${ }M_{8}\phi_{1}q_{2}^{2}$	0.7364	0.9435	0.7805	[M:[1.0, 1.1144, 0.9852, 0.6716, 0.8856, 0.7712, 0.786, 0.6864], q:[0.7786, 0.4354], qb:[0.5646, 0.4502], phi:[0.4428]]	t^2.015 + t^2.059 + t^2.314 + t^2.358 + 2*t^2.657 + t^2.956 + t^3. + 3*t^4.03 + t^4.074 + t^4.118 + 2*t^4.328 + 3*t^4.373 + t^4.417 + t^4.627 + 3*t^4.672 + 4*t^4.716 + 3*t^4.97 + 4*t^5.015 + t^5.059 + t^5.269 + 5*t^5.314 + t^5.358 + t^5.612 + t^5.657 + t^5.911 - 2*t^6. - t^4.328/y - t^4.328*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
1046	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{2}$ + ${ }M_{1}^{2}$ + ${ }M_{2}M_{5}$ + ${ }M_{6}q_{1}\tilde{q}_{2}$	0.699	0.874	0.7998	[M:[1.0, 1.1201, 0.9596, 0.6801, 0.8799, 0.7598], q:[0.78, 0.4198], qb:[0.5802, 0.4601], phi:[0.44]]	t^2.04 + t^2.28 + 2*t^2.64 + t^2.879 + t^3. + t^3.599 + t^3.839 + 3*t^4.081 + 2*t^4.32 + t^4.441 + t^4.559 + 2*t^4.68 + t^4.801 + 3*t^4.919 + t^5.04 + t^5.158 + 4*t^5.28 + t^5.519 + 2*t^5.64 + t^5.758 + 2*t^5.879 - 2*t^6. - t^4.32/y - t^4.32*y	detail