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
56346	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$	0.6633	0.8362	0.7932	[M:[1.1968, 1.0521, 0.8032, 0.8756, 1.1244, 0.7873, 0.8032], q:[0.4378, 0.3654], qb:[0.5102, 0.759], phi:[0.4819]]	[M:[[10], [-38], [-10], [14], [-14], [40], [-10]], q:[[7], [-17]], qb:[[31], [3]], phi:[[-6]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{3}$, ${ }M_{7}$, ${ }M_{4}$, ${ }\phi_{1}^{2}$, ${ }M_{2}$, ${ }M_{5}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{6}M_{7}$, ${ }M_{3}^{2}$, ${ }M_{3}M_{7}$, ${ }M_{7}^{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{3}M_{4}$, ${ }M_{4}M_{7}$, ${ }\phi_{1}q_{1}\tilde{q}_{2}$, ${ }M_{4}^{2}$, ${ }M_{6}\phi_{1}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{3}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{2}M_{6}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{2}M_{3}$, ${ }M_{2}M_{7}$, ${ }M_{5}M_{6}$, ${ }M_{2}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{5}M_{7}$, ${ }\phi_{1}^{4}$	${}$	-2	t^2.362 + 2*t^2.41 + t^2.627 + t^2.891 + t^3.156 + t^3.373 + t^3.808 + t^3.855 + 2*t^4.072 + t^4.29 + t^4.507 + t^4.724 + 2*t^4.771 + 3*t^4.819 + t^4.989 + 2*t^5.036 + 2*t^5.253 + 2*t^5.301 + 2*t^5.518 + t^5.566 + t^5.735 + 2*t^5.783 - 2*t^6. + t^6.048 + t^6.17 + 2*t^6.265 + t^6.312 + 2*t^6.434 + 3*t^6.482 + t^6.529 + t^6.651 + 3*t^6.699 + t^6.869 + 2*t^6.916 + t^6.964 + t^7.086 + 3*t^7.133 + 2*t^7.181 + 4*t^7.229 + t^7.351 + 2*t^7.398 + 2*t^7.446 + 2*t^7.615 + 3*t^7.663 + 3*t^7.71 + 3*t^7.88 + 3*t^7.928 + t^7.975 + t^8.097 + 4*t^8.145 + 2*t^8.192 + t^8.314 - t^8.362 - 3*t^8.41 + t^8.457 + t^8.532 + 2*t^8.579 - 3*t^8.627 + 4*t^8.674 + t^8.722 + 3*t^8.796 + 2*t^8.891 + 2*t^8.939 - t^4.446/y - t^6.808/y - t^6.855/y + t^7.29/y - t^7.337/y + t^7.554/y - t^7.602/y + (2*t^7.771)/y + t^7.819/y + t^7.989/y + (3*t^8.036)/y + t^8.084/y + t^8.253/y + (2*t^8.301)/y + (2*t^8.518)/y + (2*t^8.566)/y + t^8.735/y + (3*t^8.783)/y - t^4.446*y - t^6.808*y - t^6.855*y + t^7.29*y - t^7.337*y + t^7.554*y - t^7.602*y + 2*t^7.771*y + t^7.819*y + t^7.989*y + 3*t^8.036*y + t^8.084*y + t^8.253*y + 2*t^8.301*y + 2*t^8.518*y + 2*t^8.566*y + t^8.735*y + 3*t^8.783*y	g1^40*t^2.362 + (2*t^2.41)/g1^10 + g1^14*t^2.627 + t^2.891/g1^12 + t^3.156/g1^38 + t^3.373/g1^14 + g1^34*t^3.808 + t^3.855/g1^16 + 2*g1^8*t^4.072 + g1^32*t^4.29 + g1^56*t^4.507 + g1^80*t^4.724 + 2*g1^30*t^4.771 + (3*t^4.819)/g1^20 + g1^54*t^4.989 + 2*g1^4*t^5.036 + 2*g1^28*t^5.253 + (2*t^5.301)/g1^22 + 2*g1^2*t^5.518 + t^5.566/g1^48 + g1^26*t^5.735 + (2*t^5.783)/g1^24 - 2*t^6. + t^6.048/g1^50 + g1^74*t^6.17 + (2*t^6.265)/g1^26 + t^6.312/g1^76 + 2*g1^48*t^6.434 + (3*t^6.482)/g1^2 + t^6.529/g1^52 + g1^72*t^6.651 + 3*g1^22*t^6.699 + g1^96*t^6.869 + 2*g1^46*t^6.916 + t^6.964/g1^4 + g1^120*t^7.086 + 3*g1^70*t^7.133 + 2*g1^20*t^7.181 + (4*t^7.229)/g1^30 + g1^94*t^7.351 + 2*g1^44*t^7.398 + (2*t^7.446)/g1^6 + 2*g1^68*t^7.615 + 3*g1^18*t^7.663 + (3*t^7.71)/g1^32 + 3*g1^42*t^7.88 + (3*t^7.928)/g1^8 + t^7.975/g1^58 + g1^66*t^8.097 + 4*g1^16*t^8.145 + (2*t^8.192)/g1^34 + g1^90*t^8.314 - g1^40*t^8.362 - (3*t^8.41)/g1^10 + t^8.457/g1^60 + g1^114*t^8.532 + 2*g1^64*t^8.579 - 3*g1^14*t^8.627 + (4*t^8.674)/g1^36 + t^8.722/g1^86 + 3*g1^88*t^8.796 + (2*t^8.891)/g1^12 + (2*t^8.939)/g1^62 - t^4.446/(g1^6*y) - (g1^34*t^6.808)/y - t^6.855/(g1^16*y) + (g1^32*t^7.29)/y - t^7.337/(g1^18*y) + (g1^6*t^7.554)/y - t^7.602/(g1^44*y) + (2*g1^30*t^7.771)/y + t^7.819/(g1^20*y) + (g1^54*t^7.989)/y + (3*g1^4*t^8.036)/y + t^8.084/(g1^46*y) + (g1^28*t^8.253)/y + (2*t^8.301)/(g1^22*y) + (2*g1^2*t^8.518)/y + (2*t^8.566)/(g1^48*y) + (g1^26*t^8.735)/y + (3*t^8.783)/(g1^24*y) - (t^4.446*y)/g1^6 - g1^34*t^6.808*y - (t^6.855*y)/g1^16 + g1^32*t^7.29*y - (t^7.337*y)/g1^18 + g1^6*t^7.554*y - (t^7.602*y)/g1^44 + 2*g1^30*t^7.771*y + (t^7.819*y)/g1^20 + g1^54*t^7.989*y + 3*g1^4*t^8.036*y + (t^8.084*y)/g1^46 + g1^28*t^8.253*y + (2*t^8.301*y)/g1^22 + 2*g1^2*t^8.518*y + (2*t^8.566*y)/g1^48 + g1^26*t^8.735*y + (3*t^8.783*y)/g1^24

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
58641	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{7}$ + ${ }M_{4}M_{6}$	0.6111	0.7754	0.7881	[M:[1.2593, 0.8148, 0.7407, 0.963, 1.037, 1.037, 0.7407], q:[0.4815, 0.2593], qb:[0.7037, 0.7778], phi:[0.4444]]	2*t^2.222 + t^2.444 + t^2.667 + t^2.889 + 2*t^3.111 + t^3.556 + 2*t^4.222 + 4*t^4.444 + t^4.667 + 4*t^4.889 + 3*t^5.111 + 4*t^5.333 + 4*t^5.556 + 4*t^5.778 - t^6. - t^4.333/y - t^4.333*y	detail	{a: 21383/34992, c: 13567/17496, M1: 34/27, M2: 22/27, M3: 20/27, M4: 26/27, M5: 28/27, M6: 28/27, M7: 20/27, q1: 13/27, q2: 7/27, qb1: 19/27, qb2: 7/9, phi1: 4/9}

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
52426	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{1}\tilde{q}_{2}$ + ${ }M_{4}q_{2}\tilde{q}_{2}$ + ${ }M_{1}M_{3}$ + ${ }M_{5}q_{2}\tilde{q}_{1}$ + ${ }M_{4}M_{5}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{6}\phi_{1}q_{2}^{2}$	0.6471	0.8081	0.8007	[M:[1.1947, 1.0602, 0.8053, 0.8726, 1.1274, 0.7788], q:[0.4363, 0.369], qb:[0.5035, 0.7584], phi:[0.4832]]	t^2.336 + t^2.416 + t^2.618 + t^2.899 + t^3.18 + t^3.382 + t^3.584 + t^3.786 + t^3.865 + 2*t^4.067 + t^4.269 + t^4.471 + t^4.673 + t^4.752 + t^4.832 + t^4.954 + t^5.034 + 2*t^5.235 + t^5.315 + 2*t^5.517 + t^5.719 + t^5.798 + t^5.92 - t^6. - t^4.45/y - t^4.45*y	detail