Processing math: 100%

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 =

Search for theories with rational R-charges and central 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

#	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
47095	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$	0.688	0.8543	0.8054	[M:[0.9811, 0.9811, 1.1195, 0.6792, 0.7799], q:[0.5786, 0.4403], qb:[0.4403, 0.7799], phi:[0.4403]]	[M:[[-9], [-9], [4], [6], [1]], q:[[11], [-2]], qb:[[-2], [1]], phi:[[-2]]]	1	{a: 30921/44944, c: 19197/22472, M1: 52/53, M2: 52/53, M3: 178/159, M4: 36/53, M5: 124/159, q1: 92/159, q2: 70/159, qb1: 70/159, qb2: 124/159, phi1: 70/159}

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index

Relevant Operators	Marginal Operators	$n_{marginal}$$-$$|F_{IR}|$	Superconformal Index	Refined index
${}M_{4}$, ${ }M_{5}$, ${ }\phi_{1}^{2}$, ${ }M_{1}$, ${ }M_{2}$, ${ }M_{3}$, ${ }\tilde{q}_{1}\tilde{q}_{2}$, ${ }\phi_{1}q_{2}^{2}$, ${ }\phi_{1}\tilde{q}_{1}^{2}$, ${ }M_{4}^{2}$, ${ }q_{1}\tilde{q}_{2}$, ${ }M_{4}M_{5}$, ${ }\phi_{1}q_{1}q_{2}$, ${ }\phi_{1}q_{1}\tilde{q}_{1}$, ${ }M_{5}^{2}$, ${ }M_{4}\phi_{1}^{2}$, ${ }\phi_{1}q_{1}^{2}$, ${ }M_{1}M_{4}$, ${ }M_{2}M_{4}$, ${ }M_{5}\phi_{1}^{2}$, ${ }M_{1}M_{5}$, ${ }M_{2}M_{5}$, ${ }\phi_{1}^{4}$, ${ }M_{3}M_{4}$, ${ }M_{3}M_{5}$, ${ }M_{4}\tilde{q}_{1}\tilde{q}_{2}$, ${ }M_{1}^{2}$, ${ }M_{1}M_{2}$, ${ }M_{2}^{2}$	${}M_{4}\phi_{1}q_{2}^{2}$, ${ }M_{4}\phi_{1}\tilde{q}_{1}^{2}$	-1	t^2.038 + t^2.34 + t^2.642 + 2*t^2.943 + t^3.358 + t^3.66 + 2*t^3.962 + 2*t^4.075 + 3*t^4.377 + 2*t^4.679 + t^4.792 + 3*t^4.981 + 3*t^5.283 + t^5.396 + 2*t^5.698 + 3*t^5.887 - t^6. + 2*t^6.113 + 3*t^6.302 + 2*t^6.415 + 3*t^6.604 + 4*t^6.717 + t^6.83 + 2*t^6.906 + 5*t^7.019 + t^7.132 + 4*t^7.321 + 2*t^7.434 + 3*t^7.623 + 3*t^7.736 + 6*t^7.925 + 3*t^8.151 + 3*t^8.226 + 3*t^8.453 + 2*t^8.642 + 4*t^8.755 + 4*t^8.83 + 2*t^8.868 - 4*t^8.943 - t^4.321/y - t^6.358/y - t^6.66/y - (2*t^7.264)/y + (3*t^7.377)/y + t^7.679/y + (4*t^7.981)/y + (3*t^8.283)/y + (2*t^8.585)/y + t^8.698/y + t^8.887/y - t^4.321*y - t^6.358*y - t^6.66*y - 2*t^7.264*y + 3*t^7.377*y + t^7.679*y + 4*t^7.981*y + 3*t^8.283*y + 2*t^8.585*y + t^8.698*y + t^8.887*y	g1^6*t^2.038 + g1*t^2.34 + t^2.642/g1^4 + (2*t^2.943)/g1^9 + g1^4*t^3.358 + t^3.66/g1 + (2*t^3.962)/g1^6 + 2*g1^12*t^4.075 + 3*g1^7*t^4.377 + 2*g1^2*t^4.679 + g1^20*t^4.792 + (3*t^4.981)/g1^3 + (3*t^5.283)/g1^8 + g1^10*t^5.396 + 2*g1^5*t^5.698 + (3*t^5.887)/g1^18 - t^6. + 2*g1^18*t^6.113 + (3*t^6.302)/g1^5 + 2*g1^13*t^6.415 + (3*t^6.604)/g1^10 + 4*g1^8*t^6.717 + g1^26*t^6.83 + (2*t^6.906)/g1^15 + 5*g1^3*t^7.019 + g1^21*t^7.132 + (4*t^7.321)/g1^2 + 2*g1^16*t^7.434 + (3*t^7.623)/g1^7 + 3*g1^11*t^7.736 + (6*t^7.925)/g1^12 + 3*g1^24*t^8.151 + (3*t^8.226)/g1^17 + 3*g1^19*t^8.453 + (2*t^8.642)/g1^4 + 4*g1^14*t^8.755 + (4*t^8.83)/g1^27 + 2*g1^32*t^8.868 - (4*t^8.943)/g1^9 - t^4.321/(g1^2*y) - (g1^4*t^6.358)/y - t^6.66/(g1*y) - (2*t^7.264)/(g1^11*y) + (3*g1^7*t^7.377)/y + (g1^2*t^7.679)/y + (4*t^7.981)/(g1^3*y) + (3*t^8.283)/(g1^8*y) + (2*t^8.585)/(g1^13*y) + (g1^5*t^8.698)/y + t^8.887/(g1^18*y) - (t^4.321*y)/g1^2 - g1^4*t^6.358*y - (t^6.66*y)/g1 - (2*t^7.264*y)/g1^11 + 3*g1^7*t^7.377*y + g1^2*t^7.679*y + (4*t^7.981*y)/g1^3 + (3*t^8.283*y)/g1^8 + (2*t^8.585*y)/g1^13 + g1^5*t^8.698*y + (t^8.887*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

#	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
52086	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{3}M_{6}$	0.699	0.8728	0.8008	[M:[0.9679, 0.9679, 1.1254, 0.6881, 0.7813, 0.8746], q:[0.5948, 0.4373], qb:[0.4373, 0.7813], phi:[0.4373]]	t^2.064 + t^2.344 + 2*t^2.624 + 2*t^2.904 + t^3.656 + 2*t^3.936 + 2*t^4.128 + 3*t^4.408 + 3*t^4.688 + t^4.881 + 4*t^4.968 + 5*t^5.248 + 2*t^5.528 + t^5.72 + 3*t^5.808 - 2*t^6. - t^4.312/y - t^4.312*y	detail
55468	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{4}M_{6}$	0.6672	0.8135	0.8202	[M:[0.9793, 0.9793, 1.1203, 0.6805, 0.7801, 1.3195], q:[0.5809, 0.4398], qb:[0.4398, 0.7801], phi:[0.4398]]	t^2.34 + t^2.639 + 2*t^2.938 + t^3.361 + t^3.66 + 3*t^3.959 + t^4.083 + 2*t^4.382 + t^4.68 + t^4.805 + t^4.979 + 3*t^5.278 + t^5.701 + 3*t^5.876 - 3*t^6. - t^4.32/y - t^4.32*y	detail
55530	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$ + ${ }M_{5}\tilde{q}_{1}\tilde{q}_{2}$ + ${ }M_{6}\phi_{1}\tilde{q}_{1}^{2}$	0.7088	0.8952	0.7918	[M:[0.9827, 0.9827, 1.1188, 0.6782, 0.7797, 0.6782], q:[0.5767, 0.4406], qb:[0.4406, 0.7797], phi:[0.4406]]	2*t^2.035 + t^2.339 + t^2.644 + 2*t^2.948 + t^3.356 + t^3.661 + t^3.965 + 4*t^4.069 + 4*t^4.374 + 3*t^4.678 + t^4.782 + 5*t^4.983 + 3*t^5.287 + 2*t^5.391 + 3*t^5.696 + 3*t^5.896 - t^6. - t^4.322/y - t^4.322*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

#	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
No data available in table

Equivalent Fixed Points from the Same Seed Theory

Below is a list of equivalent fixed points from the same seed theories.

Search in the table:

7102550All entries per page

id	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	More Info.	Rational

Loading...

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

#	Theory	Superpotential	Central Charge $a$	Central Charge $c$	Ratio $a/c$	$R$-charges	Superconformal Index	More Info.	Rational
46667	SU2adj1nf2	${}M_{1}q_{1}q_{2}$ + ${ }M_{2}q_{1}\tilde{q}_{1}$ + ${ }M_{3}q_{2}\tilde{q}_{1}$ + ${ }\phi_{1}\tilde{q}_{2}^{2}$ + ${ }M_{3}\phi_{1}^{2}$ + ${ }M_{4}\phi_{1}q_{2}\tilde{q}_{1}$ + ${ }M_{5}q_{2}\tilde{q}_{2}$	0.6883	0.8554	0.8047	[M:[0.9686, 0.9936, 1.1195, 0.6793, 0.7674], q:[0.5787, 0.4528], qb:[0.4277, 0.7799], phi:[0.4402]]	t^2.038 + t^2.302 + t^2.641 + t^2.906 + t^2.981 + t^3.359 + t^3.623 + t^3.887 + t^4.037 + 2*t^4.076 + 2*t^4.34 + t^4.415 + t^4.604 + t^4.679 + t^4.793 + 2*t^4.944 + t^5.019 + t^5.208 + 2*t^5.283 + t^5.396 + 2*t^5.661 + t^5.811 + t^5.886 + t^5.925 + t^5.962 - 2*t^6. - t^4.321/y - t^4.321*y	detail