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
2239	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{7}$	0.681	0.8552	0.7962	[M:[1.1519, 1.0907, 0.9399, 0.8481, 0.8787, 0.7279, 0.8481], q:[0.7727, 0.3486], qb:[0.4994, 0.5607], phi:[0.4546]]	[M:[[8], [-4], [10], [-8], [-2], [12], [-8]], q:[[-1], [3]], qb:[[-11], [1]], phi:[[2]]]	1

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{6}$, ${ }M_{4}$, ${ }M_{7}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{3}$, ${ }M_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{1}$, ${ }q_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}\tilde{q}_{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{6}^{2}$, ${ }\phi_{1}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{4}M_{6}$, ${ }M_{6}M_{7}$, ${ }\phi_{1}\tilde{q}_{2}^{2}$, ${ }M_{5}M_{6}$, ${ }M_{6}\phi_{1}^{2}$, ${ }M_{3}M_{6}$, ${ }M_{4}^{2}$, ${ }M_{4}M_{7}$, ${ }M_{7}^{2}$, ${ }M_{4}M_{5}$, ${ }M_{5}M_{7}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }M_{7}\phi_{1}^{2}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{7}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{3}M_{5}$, ${ }M_{2}M_{6}$, ${ }\phi_{1}^{4}$, ${ }M_{3}^{2}$, ${ }M_{2}M_{4}$, ${ }M_{2}M_{7}$, ${ }M_{2}M_{5}$	${}$	-2	t^2.184 + 2*t^2.544 + t^2.636 + t^2.728 + t^2.82 + t^3.272 + t^3.908 + t^4. + t^4.092 + t^4.361 + t^4.367 + t^4.544 + 3*t^4.728 + t^4.82 + t^4.912 + t^5.003 + 3*t^5.088 + 2*t^5.18 + 3*t^5.272 + 2*t^5.364 + 3*t^5.456 + t^5.639 + t^5.816 + t^5.908 - 2*t^6. + t^6.092 + t^6.276 + t^6.452 + 3*t^6.544 + t^6.551 + t^6.636 + t^6.728 + t^6.82 + 2*t^6.905 + 3*t^6.912 + t^6.997 + t^7.003 + 2*t^7.088 + t^7.095 + t^7.18 + t^7.187 + 4*t^7.272 + 2*t^7.364 + 3*t^7.456 + 2*t^7.548 + 4*t^7.633 + 3*t^7.639 + 2*t^7.724 + 4*t^7.816 + t^7.823 + 3*t^7.908 + 4*t^8. + 2*t^8.092 + t^8.269 + 2*t^8.276 + t^8.361 + t^8.452 + 2*t^8.459 - 4*t^8.544 - 2*t^8.636 + t^8.721 + t^8.735 - 2*t^8.82 + t^8.905 + t^8.997 - t^4.364/y - t^6.548/y - t^6.908/y - t^7./y - t^7.184/y + t^7.544/y + (3*t^7.728)/y + (2*t^7.82)/y + t^7.912/y + t^8.003/y + t^8.088/y + (3*t^8.18)/y + (2*t^8.272)/y + (3*t^8.364)/y + (2*t^8.456)/y + t^8.548/y - t^8.731/y + (2*t^8.816)/y + t^8.908/y - t^4.364*y - t^6.548*y - t^6.908*y - t^7.*y - t^7.184*y + t^7.544*y + 3*t^7.728*y + 2*t^7.82*y + t^7.912*y + t^8.003*y + t^8.088*y + 3*t^8.18*y + 2*t^8.272*y + 3*t^8.364*y + 2*t^8.456*y + t^8.548*y - t^8.731*y + 2*t^8.816*y + t^8.908*y	g1^12*t^2.184 + (2*t^2.544)/g1^8 + t^2.636/g1^2 + g1^4*t^2.728 + g1^10*t^2.82 + t^3.272/g1^4 + t^3.908/g1^6 + t^4. + g1^6*t^4.092 + t^4.361/g1^20 + g1^24*t^4.367 + t^4.544/g1^8 + 3*g1^4*t^4.728 + g1^10*t^4.82 + g1^16*t^4.912 + g1^22*t^5.003 + (3*t^5.088)/g1^16 + (2*t^5.18)/g1^10 + (3*t^5.272)/g1^4 + 2*g1^2*t^5.364 + 3*g1^8*t^5.456 + g1^20*t^5.639 + t^5.816/g1^12 + t^5.908/g1^6 - 2*t^6. + g1^6*t^6.092 + g1^18*t^6.276 + t^6.452/g1^14 + (3*t^6.544)/g1^8 + g1^36*t^6.551 + t^6.636/g1^2 + g1^4*t^6.728 + g1^10*t^6.82 + (2*t^6.905)/g1^28 + 3*g1^16*t^6.912 + t^6.997/g1^22 + g1^22*t^7.003 + (2*t^7.088)/g1^16 + g1^28*t^7.095 + t^7.18/g1^10 + g1^34*t^7.187 + (4*t^7.272)/g1^4 + 2*g1^2*t^7.364 + 3*g1^8*t^7.456 + 2*g1^14*t^7.548 + (4*t^7.633)/g1^24 + 3*g1^20*t^7.639 + (2*t^7.724)/g1^18 + (4*t^7.816)/g1^12 + g1^32*t^7.823 + (3*t^7.908)/g1^6 + 4*t^8. + 2*g1^6*t^8.092 + t^8.269/g1^26 + 2*g1^18*t^8.276 + t^8.361/g1^20 + t^8.452/g1^14 + 2*g1^30*t^8.459 - (4*t^8.544)/g1^8 - (2*t^8.636)/g1^2 + t^8.721/g1^40 + g1^48*t^8.735 - 2*g1^10*t^8.82 + t^8.905/g1^28 + t^8.997/g1^22 - (g1^2*t^4.364)/y - (g1^14*t^6.548)/y - t^6.908/(g1^6*y) - t^7./y - (g1^12*t^7.184)/y + t^7.544/(g1^8*y) + (3*g1^4*t^7.728)/y + (2*g1^10*t^7.82)/y + (g1^16*t^7.912)/y + (g1^22*t^8.003)/y + t^8.088/(g1^16*y) + (3*t^8.18)/(g1^10*y) + (2*t^8.272)/(g1^4*y) + (3*g1^2*t^8.364)/y + (2*g1^8*t^8.456)/y + (g1^14*t^8.548)/y - (g1^26*t^8.731)/y + (2*t^8.816)/(g1^12*y) + t^8.908/(g1^6*y) - g1^2*t^4.364*y - g1^14*t^6.548*y - (t^6.908*y)/g1^6 - t^7.*y - g1^12*t^7.184*y + (t^7.544*y)/g1^8 + 3*g1^4*t^7.728*y + 2*g1^10*t^7.82*y + g1^16*t^7.912*y + g1^22*t^8.003*y + (t^8.088*y)/g1^16 + (3*t^8.18*y)/g1^10 + (2*t^8.272*y)/g1^4 + 3*g1^2*t^8.364*y + 2*g1^8*t^8.456*y + g1^14*t^8.548*y - g1^26*t^8.731*y + (2*t^8.816*y)/g1^12 + (t^8.908*y)/g1^6

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
4235	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$ + ${ }M_{1}M_{7}$ + ${ }M_{3}M_{6}$	0.6431	0.8192	0.785	[M:[1.2727, 1.0303, 1.0909, 0.7273, 0.8485, 0.9091, 0.7273], q:[0.7576, 0.3939], qb:[0.3333, 0.5758], phi:[0.4848]]	2*t^2.182 + t^2.545 + t^2.727 + t^2.909 + t^3.091 + t^3.273 + t^3.455 + t^3.636 + t^4. + t^4.182 + 4*t^4.364 + 2*t^4.727 + 3*t^4.909 + 3*t^5.091 + 2*t^5.273 + 3*t^5.455 + 4*t^5.636 + 4*t^5.818 - t^4.455/y - t^4.455*y	detail	{a: 1245/1936, c: 793/968, M1: 14/11, M2: 34/33, M3: 12/11, M4: 8/11, M5: 28/33, M6: 10/11, M7: 8/11, q1: 25/33, q2: 13/33, qb1: 1/3, qb2: 19/33, phi1: 16/33}

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
1169	SU2adj1nf2	${}\phi_{1}q_{1}^{2}$ + ${ }M_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{2}q_{2}\tilde{q}_{2}$ + ${ }M_{3}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{2}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}^{2}$ + ${ }M_{1}M_{4}$ + ${ }M_{5}q_{1}q_{2}$ + ${ }M_{6}q_{1}\tilde{q}_{1}$	0.6683	0.8337	0.8015	[M:[1.1367, 1.0983, 0.9209, 0.8633, 0.8825, 0.7051], q:[0.7746, 0.3429], qb:[0.5204, 0.5588], phi:[0.4508]]	t^2.115 + t^2.59 + t^2.647 + t^2.705 + t^2.763 + t^3.295 + t^3.41 + t^3.942 + t^4. + t^4.058 + t^4.23 + t^4.475 + t^4.59 + 2*t^4.705 + t^4.763 + t^4.82 + t^4.878 + t^5.18 + t^5.237 + 2*t^5.295 + t^5.353 + 3*t^5.41 + 2*t^5.525 + t^5.942 - t^6. - t^4.353/y - t^4.353*y	detail